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Arch Capital Group

acgl · NASDAQ Financial Services
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Industry Insurance - Diversified
Employees 1001-5000
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FY2020 Annual Report · Arch Capital Group
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Printed on 100% recyclable paper 
manufactured from 30% recycled fibers.

©2021 Arch Capital Group Ltd. All Rights Reserved. 00365-0321

Arch Capital Group Ltd. 
2020 Annual Report

 
 
 
 
 
Financial Highlights1

             GROSS PREMIUMS               
                    WRITTEN2

$9.6B

NET LOSS 
RESERVES2

$10.9B

                    TOTAL 

CAPITALIZATION2

$15.8B

 TOTAL       
ASSETS2

$39.8B

Gross Premiums Written ($M)2

Underwriting Income ($M)2

Net Income ($M)4

$9,632.7

$7,695.6

$1,087.6

$1,594.7

$1,363.9

+25.2%

$481.1

-55.8%

-14.5%

2019

2020

2019

2020

2019

2020

       Operating Return on 

Average Common Equity1,4

After-tax Operating Income 
       per Common Share1,4

Book Value per 
Common Share3

12.0%

$2.82

$30.31

$26.42

4.8%

$1.36

+14.7%

-720 bps

-51.8%

2019

2020

2019

2020

2019

2020

Book Value per Common Share3

$30.00

$25.00

$20.00

$15.00

$10.00

$5.00

$0.00

  f r o m   2 0 0 1

  1 5 . 3 %  

i z e d   G r o w t h   R a t e   o f  

A n n u a l

2001

2002

2003

2004

2005

2006

2007 2008

2009

2010

2011

2012

2013

2014

2015

2016

2017

2018

2019

2020

1 See “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Comment on Non-GAAP Financial Measures” for discussion of 
   “non-GAAP financial measure” as defined in Regulation G. 
2 Excludes results of Watford Holdings Ltd.
3 Excludes the effects of stock options and restricted stock units outstanding.
4 Available to Arch common shareholders.

2020 Annual Report

Amounts in Millions, Except Percentages and Per Share Amounts

Book value per common share at year-end

Net income available to common shareholders

  Per share

Net income return on average common equity

After-tax operating income*

  Per share

Operating return on average common equity*

All per share amounts are on a diluted basis.

2020

$30.31

$1,364

$3.32

11.8%

$557

$1.36

4.8%

2019

$26.42

$1,595

$3.87

16.5%

$1,163

$2.82

12.0%

Change

+14.7%  

(14.5)%

(14.2)% 

(52.1)% 

(51.8)% 

*See “Management’s Discussion and Analysis of Financial Condition and Results of Operations — Comment on Non-GAAP Financial Measures” for a discussion of “non-GAAP 
financial measures” as defined in Regulation G. After-tax operating income, which is a non-GAAP measure of financial performance, is defined as net income available to 
common shareholders, excluding net realized gains or losses, equity in net income or loss of investment funds accounted for using the equity method, net foreign exchange gains 
or losses, transaction costs and other, and net of income taxes. The reconciliation of net income available to common shareholders to after-tax operating income can be found 
in the Company’s Annual Report on Form 10-K, filed with the SEC on February 26, 2021, under the caption “Management’s Discussion and Analysis of Financial Condition and 
Results of Operations” under the caption “Results of Operations.” A copy of the Form 10-K is available on the Company’s website and accompanies this letter.

To Our Shareholders
By any measure, 2020 was a challenging year for our industry. The COVID-19 
pandemic  engulfed  the  world,  affecting  people’s  lives,  disrupting  businesses 
and governments and undermining economic growth. Insurers’ and reinsurers’ 
financial results were impacted through both their exposure to COVID-19 claims 
and the effects of an active catastrophe year. Although our earnings declined 
in  2020,  we  posted  an  acceptable  profit  in  a  difficult  year  and  delivered  an 
excellent 14.7% growth in book value per share (BVPS) — the 12th consecutive 
year of BVPS growth, a significant achievement in the highly cyclical insurance 
industry. Growth in BVPS remains our most important measure, as we believe 
that increases in this metric over time are a key indicator of long-term value 
creation for shareholders.

Our positive results in 2020 are primarily attributable to our diversified business 
model  and  the  adaptability,  agility  and  resiliency  of  our  employees.  While 
adjusting to an entirely new way of working, they supported one another and 
delivered creative and valuable solutions to the market in the continued pursuit 
of being our clients’ first call.

Over the past several years, while property and casualty rates were generally 
depressed,  we  strategically  deployed  capital  to  those  lines  of  business  that 
provided the best opportunity for earning an appropriate risk-adjusted return. 
Recently,  as  market  prices  improved  in  our  property  casualty  segments,  we 
leaned more heavily into organic growth and supplemented our product offering 
through targeted acquisitions that also improved our economies of scale. 

Marc Grandisson
Chief Executive Officer
Arch Capital Group Ltd.

1

Arch Capital Group Ltd.

Our 2019 acquisition of Barbican Group Holdings Limited 
(Barbican)  significantly  raised  our  capacity  at  Lloyd’s  of 
London, where we’ve experienced substantial growth and 
deepened  our  focus  on  third-party  capital  management. 
Meanwhile,  we’ve  made  substantial 
in 
technology,  process  improvement  and  data  analytics 
to  improve  our  decision-making  and  ability  to  share 
knowledge with our clients.  

investments 

In 2020, as property casualty market conditions improved, 
we moved quickly to capitalize on the better opportunities 
offered  by  this  cyclical  shift.  Historically,  we  have  seized 
upon  hardening  markets  to  deliver  superior  risk-adjusted 
returns  and  accelerate  the  growth  in  our  BVPS  —  and 
this  latest  market  correction  is  no  different.  All  told,  we 
increased our net premiums written by 25.3% in 2020, led 
by  a  53.3%  increase  in  net  premiums  in  the  reinsurance 
segment,  reflecting  a  combination  of  better  pricing  and 
new opportunities. 

Our  cycle  management philosophy  is  successful  because 
of  our  strong  and  flexible  balance  sheet,  focus  on 
disciplined underwriting and exceptional team of people. 
We  have  the  resources,  acumen  and  scale  to  continue 
to  write  significantly  more  business  so  long  as  returns 
remain attractive. The $1.0 billion public offering of senior 
notes we concluded in June, a large portion of which was 
deployed  to  support  the  growth  in  our  property  casualty 
operations, is an example of our ability and willingness to 
navigate the current environment with vigor.

Financial Results
Arch’s  after-tax  operating  income  was  $1.36  per  share 
in 2020, down from $2.82 per share in 2019. Our BVPS 
grew substantially to $30.31 from $26.42 in 2019.

All financial results above include our approximately 13% common 
equity  interest  at  year-end  2020  in  Watford  Holdings  Ltd.  (the 
“other”  segment).  The  financial  results  that  follow  in  this  letter 
exclude amounts related to the “other” segment, details of which 
can be found in Note 12 of our 2020 Form 10-K, included in this 
annual report.

Underwriting Results
Underwriting  income  was  $481  million  in  2020,  down 
from  $1.1  billion  in  2019.  The  decrease  was  primarily 
attributable  to  $685  million  of  catastrophe  and  COVID-
19-related losses in our property casualty units compared 
to $113 million in 2019. Despite an uncertain environment 
due to COVID-19, our mortgage segment was a leading 
contributor  to  our  bottom  line,  although  generating  less 
profit than last year. 

Investment Results
Investable assets rose to $26.9 billion at the end of 2020 
from $22.3 billion a year earlier. Cash flow from operations 
was  very  strong,  increasing  to  $2.7  billion  in  2020  from 
$1.8 billion in 2019, due primarily to increased premiums 
written.  In  managing  the  portfolio,  we  emphasize  total 
return  (net  investment  income,  net  realized  gains  and 
losses, changes in unrealized gains and losses, and equity 
in the net income or losses of investment funds accounted 
for  using  the  equity  method),  which  contributes  to  BVPS 
growth.  The  total  return  was  7.77%  in  2020  and  7.30% 
in 2019.

At  the  end  of  2020,  approximately  78%  of  the  portfolio 
was  invested  in  fixed  maturity  and  short-term  securities 
with  an  average  credit  quality  of  “AA/Aa2.”  We  also 
invested a portion of the portfolio in equities and alternative 
investments, which contributed to the 2020 total return. The 
average effective duration of the overall portfolio remained 
relatively short at 3.01 years at December 31, 2020. 

The  portfolio  generated  $402  million  of  net  investment 
income in 2020, down 17.6% from 2019 on a per-share 
basis. This decrease reflected a general decline in interest 
rates and credit spreads available in the financial markets.  
Over the past two years, the total returns on our investment 
portfolio have been excellent, contributing significantly to 
our  growth  in  BVPS.  However,  given  that  the  embedded 
book  yield  on  our  bond  portfolio  (which  comprises 
approximately  70%  of  our  overall  portfolio)  was  1.56%  

2

 
2020 Annual Report

at December 31, 2020, it will be challenging to match the 
returns of the last two years in the near term. To offset some of 
the pressure from the current low interest rate environment, 
our  investment  professionals  are  diligently  working  to  find 
investment  opportunities  that  provide  incremental  returns 
without taking on undue risk in the investment portfolio. 

Segment Performance
Arch  writes  specialty,  commercial  property  casualty 
insurance  and  reinsurance  primarily  from  operations 
in  Bermuda,  the  United  States,  Canada,  Europe  and 
the  United  Kingdom,  while  mortgage  insurance  and 
reinsurance  are  written  primarily  in  the  United  States, 
Bermuda, Europe and Australia. 

Property  casualty  insurance:  This  is  our  largest  segment, 
accounting for 46% of the Company’s 2020 net premiums 
written.  Premium  volume  was  $3.2  billion,  increasing 
19.7% over 2019. The segment had an underwriting loss in 
2020 primarily due to catastrophe losses, although we see 
continuing signs of improvement in many of the lines we 
operate. Rate momentum remains positive overall, and it’s 
important to note that the effects of higher premium rates 
can take up to eight quarters to become fully reflected in 
underwriting margins.

Property  casualty  reinsurance:  This  segment  represented 
35% of net premiums written in 2020 and was our fastest-
growing business, as net premiums written advanced 53.3% 
to $2.5 billion. Like insurance, the segment was significantly 
affected  by  natural  catastrophes  and  COVID-19,  which 
totaled  $413  million  in  claims  for  the  year.  While  market 
conditions  were  not  uniformly  strong,  dislocation  from 
other carriers reducing their capacity created more areas of 
opportunity that Arch was well positioned to capitalize on. 

Mortgage  insurance  and  reinsurance:  With  $1.3  billion 
of  net  premiums  written,  this  segment  accounted  for 
19% of the Company’s 2020 premium volume. Although 

underwriting profit was lower than in 2019 because of a 
spike in COVID-19-related mortgage delinquencies in the 
first  two  quarters,  by  December  31,  2020,  the  impact  of 
pandemic-related  uncertainties  on  the  mortgage  market 
had largely abated and delinquency rates declined. During 
the last two quarters of 2020, cure activity exceeded new 
notices  of  default.  Overall,  the  segment  performed  well 
through the pandemic recession as higher housing prices 
and a surge in mortgage refinance activity created strong 
demand  for  mortgage  insurance  —  resulting  in  a  record 
amount of new insurance written for the year. 

Corporate Initiatives
We continue to make significant investments in technology 
to  improve  our  ability  to  manage  the  Company  more 
efficiently, better serve our clients and assess and price risk 
more effectively.

Key  technology  initiatives  in  2020  included  supporting 
the  remote-working  capability  for  our  global  workforce, 
improving  automation  and  decision-making  technologies 
within our segments and continuing to enhance our overall 
information security posture. 

Our  data  analytics  successes  included  developing  Arch’s 
Business Intelligence platform and expanding our advanced 
analytics  across  underwriting,  claims,  operations  and 
distribution.  Additionally,  we  increased  distribution  options 
for  our  Insurance  Group  by  entering  into  new  digital 
partnerships with InsurTech and digital distribution partners. 

In 2020, we agreed to increase our investment in Watford 
Holdings  Ltd.,  a  specialty  insurer  and  reinsurer  where  we 
serve  as  Watford’s  underwriting  manager,  to  40%.  In 
February  2021,  we  acquired  a  29.5%  minority  stake  in 
Coface, a global trade credit insurer, after announcing our 
intent a year earlier. Coface operates in some 100 countries 
and fits both our specialty insurance strategy and our efforts 
to further diversify our sources of income.

3

Arch Capital Group Ltd.

We  also  published  our  first  Environmental,  Social  and 
Governance (ESG) Sustainability Report and corresponding 
Sustainability  Accounting  Standards  Board  disclosure 
document in 2020. These two annual reports represent a 
major  milestone  in  Arch’s  sustainability  and  ESG  journey 
and  will  be  key  elements  of  our  ongoing  program  to 
communicate what we do and its value to our stakeholders. 

Capital Allocation and Management
We maintain a strong balance sheet to meet our customer 
obligations  and  provide  flexibility  to  write  more  business 
or  make  acquisitions  when  opportunities  arise.  Even  after 
issuing $1.0 billion of notes in 2020, our ratio of debt and 
hybrids  to  total  capital  was  a  conservative  22.1%  at  year-
end, up slightly from 19.0% in 2019.

We are stewards of the capital entrusted to us and seek to 
create shareholder value by dynamically allocating capital 
to  and  within  our  operating  segments.  Throughout  our 
history,  this  strategy  has  included  returning  excess  capital 
to  our  shareholders.  During  2020,  we  repurchased  2.9 
million shares at an aggregate price of $84 million, helping 
us exceed $4.0 billion in total share repurchases since our 
share buyback program began. 

Arch People
Skilled,  motivated  people  are  central  to  Arch’s  success, 
and  we  are  extremely  proud  of  the  way  our  employees 
adapted quickly to the COVID-19-era workplace. 2020 also 
highlighted the importance of strong leadership. It’s critical 
that we continue to cultivate a deep, talented management 
team as the Company continues to evolve.

Property  and  Casualty  Operations.  In  his  expanded  role, 
he  is  responsible  for  our  three  operating  segments  — 
Insurance, Reinsurance and Mortgage — and for oversight 
of the Company’s Strategy and Innovation team.

Lee Alfrey was promoted to Chief Transformation Officer, 
where  he  is  responsible  for  leading  Arch’s  capacity 
development,  strategic  growth  plan  and  driving  quality 
and  efficiency  to  deliver  a  better  experience  for  Arch’s 
customers. Alfrey joined Arch in 2018. 

Christy Caragol  joined Arch as Senior Vice President, Talent 
Management and Diversity and Inclusion (D&I), where she 
is responsible for training and development and for steering 
the Company’s overall D&I strategy. 

Joy Huibonhoa was promoted to Executive Vice President 
and  Deputy  General  Counsel,  reflecting  her  increased 
responsibility  for  oversight  of  corporate  compliance. 
Huibonhoa joined Arch in 2002.

Insurance
Brian  Chiolan  was  promoted  to  Executive  Vice  President, 
Healthcare,  for  Arch  Insurance  North  America.  Chiolan 
joined Arch Insurance in 2009.

Marilyn Marshall was promoted to Executive Vice President, 
Professional  Liability,  for  Arch  Insurance  North  America. 
Marshall joined Arch Insurance in 2009.

Randy  Paez  joined  Arch  as  Chief  Information  Officer  for 
Arch Insurance North America.

Corporate
Nicolas  Papadopoulo  was  promoted  to  President  and 
Chief  Underwriting  Officer,  effective  January  1,  2021. 
Papadopoulo  joined  Arch  in  2001  and  has  advanced 
through  a  series  of  positions,  most  recently  serving  as 
Chairman and Chief Executive Officer of Arch Worldwide 
Insurance  Group  and  Chief  Underwriting  Officer  for 

Regan Shulman was promoted to Executive Vice President 
and  General  Counsel  for  Arch  Insurance  North  America. 
Shulman joined Arch Insurance in 2012.

Sue Srinivasan was promoted to Executive Vice President, 
Retail  Strategy  and  Distribution,  for  Arch  Insurance  North 
America. Srinivasan joined Arch Insurance in 2019.

4

2020 Annual Report

challenges not only for Arch and its team, but also for billions 
of people worldwide. Our shareholders should feel confident 
knowing the creativity, commitment and resilience of Arch’s 
employees were critical factors in our success this past year 
and will help drive our future performance. 

Finally, we thank you, our shareholders, for your continued 
support through your investment in the Company.

Marc Grandisson
Chief Executive Officer
Arch Capital Group Ltd.

5

Simon  Williams  was  promoted  to  Chief  Strategy  and 
International. 
for  Arch 
Distribution  Officer 
Williams joined Arch Insurance International in 2018.

Insurance 

Mortgage
Alan  Tiernan  was  promoted  to  Chief  Actuary,  Global 
Mortgage Group. Tiernan joined Arch in 2014.

Reinsurance
Kamran Amin was promoted to Chief Information Officer, 
Arch  Reinsurance  Group.  Amin  joined  Arch  Reinsurance 
in 2019.

Valandis Elpidorou was promoted to Head of Property and 
Casualty, Arch Reinsurance Europe. Elpidorou joined Arch 
Reinsurance in 2016.

Megan  McCarthy  was  promoted  to  Northeast  Branch 
Manager,  Arch  Re  Facultative.  McCarthy  joined  Arch 
Reinsurance in 2007.

Outlook
Our  disciplined  underwriting  approach  and  diversified 
business  model  again  served  Arch  and  its  shareholders 
well in 2020. We are excited about Arch’s opportunities in 
2021  and  believe  favorable  market  conditions  will  sustain 
an  improved  property  casualty  underwriting  environment. 
Additionally,  the  fundamentals  of  the  mortgage  market 
remain  positive,  and  the  demand  for  mortgage  insurance 
should  endure  while  mortgage  delinquencies  continue  to 
recede from their 2020 highs.

In  a  year  in  which  many  of  our  clients  called  upon  us 
for  assistance,  we  were  steadfast  in  our  commitment  to 
providing  support  and  paying  claims.  We  recognize  our 
success derives from the patronage of our distributors and 
clients, and we remain dedicated to meeting their needs. 

We  also  offer  our  sincere  thanks  to  each  of  our  4,500+ 
employees for a job well done in 2020, a year of unusual 

Arch Capital Group Ltd.

Providing Customer-Focused Solutions
Arch Insurance is a global insurer offering superior coverage and service to its clients and brokers. We participate 
in specialty lines where the talent and knowledge of our employees are a competitive differentiator. We seek to 
provide specialty risk solutions across a wide range of industries from our global network of offices.

Growth and Discipline
Despite  the  challenges  of  2020,  the  overall  story  for 
Arch Insurance was one of growth. In total, the segment 
achieved a 19.7% increase — top among our peer group* 
— in net written premiums. In addition to growing written 
premiums,  our  focus  on  actively  managing  our  portfolio 
over  the  past  several  years  —  reducing  our  exposure  in 
underperforming  lines  —  resulted  in  a  current  accident 
year  combined  ratio  (excluding  catastrophes)  of  95.2%, 
down from 100.5% in 2019. 

Arch  Insurance  North  America  continues  to  build  a 
sustainable  franchise  for  today  and  tomorrow.  Our 
emphasis on serving specialty middle market accounts for 
the past several years is bearing fruit and has provided the 
right balance to our large account focused businesses. We 
achieved improvement in pricing across all of our lines of 
business with particular progress in management liability 
and excess and surplus property and casualty. Our diverse 

portfolio  is  well  positioned  for  continued  growth  in  2021 
and beyond. 

Insurance 

International  continued 

Arch 
integrating  
Barbican  and  the  UK  Regional  business  (both  acquired 
in  2019).  Through  both  these  acquired  platforms  and 
existing underwriting operations in the UK, Bermuda and 
Australia, we used rapidly improving market conditions to 
aggressively  expand,  with  year-over-year  growth  in  gross 
written  premiums  of  47.9%.  Throughout  2020,  Arch 
Insurance  International  also  added  new  underwriting 
capabilities  in  specialty  wholesale  lines  to  enhance  the 
Company’s future position in the London market.

Innovation and Employee-Led Process 
Improvement
Our  commitment  to  listening  to  our  employees’  ideas  for 
streamlining cumbersome processes and eliminating waste 
remains an important aspect of how we operate. An internal 

*Peer  Group  includes:  American  Financial,  Argo 
Group,  AXIS,  Everest,  Hanover,  Markel,  RLI,  RSUI 
(Alleghany), Selective, W.R. Berkley.

Calendar Year Net Premiums Written ($M)

Specialty Small/Middle Market
Franchise Positions
Wholesale/Large Capacity

2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020

 $2,000

 $1,800

 $1,600

 $1,400

 $1,200

 $1,000

 $800

 $600

 $400

 $200

$0

6

2020 Annual Report

Key Ratios for 2020

Loss Ratio

72.9%

Underwriting Expense Ratio

31.6%

Combined Ratio

104.5%

Professional Lines

Property, Energy, Marine and Aviation

Programs

Construction and National Accounts

Excess and Surplus Casualty

Other

Travel, Accident and Health

Warranty and Lender Solutions

24%
20%
14%
12%
9%
9%
7%
5%

Insurance Net Premiums Written
$3.2B

As of December 31, 2020

initiative  to  accelerate  new  product  delivery,  deemed  
“Speed to Market,” has allowed us to decrease the rollout 
time of new products and programs by over 50%. Additional 
focus  on  streamlining  our  claims  processes  has  improved 
the  overall  customer  experience  by  introducing  expedited 
handling of smaller claims.

Embracing  InsurTech  through  our  Digital  Partners  group 
has yielded early success by creating multiyear partnerships 
to  provide  insurance  capacity  and  develop  new  products. 
Becoming  a  go-to  provider  of  capacity  and  analytical 
capabilities  for  this  growing  segment  of  our  industry  is  an 
important part of our long-term growth strategy. 

A Focus on Culture
Our year began with the introduction of the Arch Experience 
to  our  global  workforce.  This  ongoing  initiative,  designed 
to instill, exhibit and reinforce the critical behaviors needed 
to  differentiate  Arch  in  today’s  competitive  environment, 
increased engagement between employees and leadership 
while  providing  opportunities  to  identify  and  share  the 
stories that make Arch Insurance’s culture unique.

The pandemic led to a renewed focus on communication 
up and down our organization. From companywide virtual 
town halls to smaller regional and departmental meetings, 
staying connected was a key to maintaining the confidence 
and morale needed to meet our objectives. 

An  important  step  for  Arch  Insurance  in  2020  was  an 
increased  focus  on  Diversity  and  Inclusion  (D&I).  Arch 
Insurance  joined  the  corporatewide  initiative  to  launch 
Employee  Networks,  which  are 
formally  recognized, 
company-supported  groups  that  allow  employees  to  set 
and execute annual goals that support Arch’s D&I strategy. 
Additionally, based on employee input, we worked with the 
Spencer  Educational  Foundation,  a  nonprofit  funding  the 
education  of  tomorrow’s  risk  management  and  insurance 
leaders,  to  launch  the  Arch  Insurance  Scholars  Program. 
By creating eight new scholarships over the next four years, 
we aim to help students from underrepresented groups who 
are pursuing careers in risk management and insurance.

7

Arch Capital Group Ltd.

A Global Leader in Residential Mortgage Credit Risk
Arch’s Global Mortgage Group facilitates sustainable homeownership through the aggregation, management 
and syndication of mortgage credit risk worldwide through our insurance, reinsurance and capital markets 
businesses in the United States, Europe, Australia and Bermuda. Through these operations, Arch stands 
alone as the only globally diversified insurer of mortgage credit risk.

Supporting Sustainable Homeownership
In  the  United  States,  our  largest  market,  Arch  MI  U.S. 
provides  banks,  independent  mortgage  bankers,  credit 
unions and Fannie Mae and Freddie Mac (the Government-
Sponsored Enterprises, or GSEs) with the financial security 
and  credit 
to  support 
insurance  protection  needed 
mortgage lending. By giving qualified borrowers access to 
mortgage  insurance  (MI),  we  help  encourage  sustainable 
homeownership among a diverse group of individuals and 
families. In 2020, we helped over 397,000 borrowers in the 
U.S. purchase or refinance a home. 

For  our  Mortgage  segment  —  and  the  MI  market  overall 
— 2020 began with significant uncertainty about how the 
COVID-19  pandemic  would  affect  the  world  economy, 
employment, home purchase activity and borrowers’ ability 
to pay their mortgages. As the year progressed, government 
and  private  market  forbearance  programs  stabilized  the 
industry  while  historically  low  mortgage  rates  served  as  a 
catalyst to push home sales and refinances to record levels. 

Despite our employees operating remotely for most of the 
year, we produced a record $112 billion of new insurance 
written (NIW) at Arch MI U.S., which was 44% above the 
previous high mark established in 2019. The NIW produced 
in  Arch  MI  U.S.,  combined  with  solid  performance  of 
insured  loans  originated  in  prior  years  and  contributions 
from  the  Alternative  Markets,  Credit  Risk  Transfer  and 
Services and International businesses enabled the unit to 
generate $594 million in underwriting income.

Innovation and Thought Leadership
Arch MI, having introduced the industry’s first risk-based 
pricing engine, RateStar, in 2009,  is regarded as the 

8

Arch MI U.S. only

As of December 31, 2020

4.19%

$70.5

BILLION

Delinquency Rate

Risk-in-Force
Before reinsurance 
and risk-sharing 
operations.

pacesetter for the industr y when it comes to thought 
leadership  and  innovation.  The past year provided ample 
opportunities to display both.

industry, 

We  launched  the  Arch  MI  PolicyCast,  a  biweekly  video 
podcast  that  touches  on  key  issues  facing  the  housing 
finance 
including  minority  homeownership, 
affordable housing and the impact of potential legislation. 
Additionally, we continued to publish Arch MI’s Housing and 
Mortgage  Market  Review  (HaMMR),  which  has  provided 
housing  sector  forecasts  and  information  on  long-term 
trends under several names since 2002. Offerings like the 
HaMMR  and  PolicyCast  are  just  two  reasons  the  industry 
looks up to Arch MI.

Arch also took a leadership role by restarting the mortgage 
insurance-linked notes (MILN) market after it went dormant 
in the early part of 2020. Arch MI launched the MILN market 
in 2015 through its Bellemeade securitizations, which provide 
capital  markets  investors  access  to  mortgage  credit  risk 
while helping Arch better manage risks. In June 2020, Arch 

issued the first mortgage credit risk transfer (CRT) by any 
company in the COVID-19 era — effectively jumpstarting 
the market for other issuers and enabling Arch to complete 
four Bellemeade MILN transactions in 2020, netting over 
$1.8 billion of indemnity reinsurance. 

In  addition  to  providing  thought  and  market  leadership, 
we  continued  to  grow  our  diversified  businesses.  Our 
international segment grew total premiums written by over 
12%  as  we  underwrote  our  first  MI  policies  on  our  newly 
licensed entity in Australia, Arch LMI Pty Ltd. Our Credit Risk 
Transfer and Services group underwrote approximately $1.6 
billion  of  GSE  CRT  limit  —  leading  to  the  highest  annual 
volume of GSE CRT booked since the unit’s formation.

A Committed and Engaged Culture
Through it all, the perseverance and commitment of our 
employees  are  what  truly  made  a  difference  this  year. 
Sent home essentially overnight, nearly 1,000 employees 
embraced  change  and  developed  the  resilience  to  thrive 
amidst record volume. 

Employees in our Greensboro, North Carolina, headquarters 
recognized  Arch  MI  as  one  of  the  “Best  Places  to  Work” 
by  the  Triad  Business  Journal  for  the  second  consecutive 
year.  Creating  a  work  environment  in  which  employees 
are engaged and respected is a longstanding goal across 
all  Arch  companies  —  being  recognized  in  the  midst  of 
COVID-19 is a significant accomplishment.

2020 Annual Report

Key Ratios for 2020

Loss Ratio

37.8%

Underwriting Expense Ratio

21.2%

Combined Ratio

59.0%

Supporting Our Communities
During a year in which resources for charitable organizations 
were increasingly scarce, Arch MI maintained its historical 
giving levels, encouraged our employees to use their two 
days  of  volunteer  time  off  and,  importantly,  matched 
donations  to  the  organizations  that  our  people  deemed 
most worthy of their support. 

Arch  MI  also  answered  the  call  to  assist  organizations 
committed to racial justice by making donations to the NAACP, 
the Equal Justice Initiative and the International Civil Rights 
Center & Museum. Arch MI partnered with North Carolina 
A&T State University — the nation’s largest historically Black 
college, which is located in Greensboro — on a scholarship 
program  designed  to  provide  financial  support  and  real-
world experiences for high-achieving students. 

Global Mortgage Group Insurance In Force (IIF) and Underwriting Income

As of December 31, 2020

IIF Mortgage Reinsurance

IIF GSE Credit Risk Sharing and International Insurance

$1,041

IIF U.S. Mortgage Insurance

Underwriting Income $M

$691

$352
8%

20%

$858

$384
7%

21%

$424
7%

27%

$418
6%

25%

$594

72%

72%

69%

66%

$156

$600

$500

$400

$300

$200

B
$

)
F
I
I
(

e
c
r
o
F

n
i

e
c
n
a
r
u
s
n
I

$100

$128

$0

$316

UGC*
$188
59%

8%

18%

15%

$1,200

$1,000

$800

$600

$400

$200

$0

M
$

e
m
o
c
n
I

g
n
i
t
i
r
w
r
e
d
n
U

2016

2017

2018

2019

2020

*The U.S. mortgage platform was established in 2014 and expanded greatly in 2016 through the acquisition of United Guaranty Corporation (UGC) and its subsidiaries.

9

 
 
 
 
 
 
Arch Capital Group Ltd.

Bespoke Solutions for Complex Risks
Arch Re is a leading, diversified reinsurer offering treaty and facultative property, casualty and specialty reinsurance 
from locations around the world. We focus on Expanding the Possible for our clients by providing creative ideas 
and solutions while serving as a long-term, reliable partner. The bedrock of our offerings remains our specialty 
classes.  Our  team  of  experienced  underwriters  is  known  for  engaging  with  clients  and  brokers  on  the  most 
complex challenges in a volatile risk environment to deliver customized solutions that meet our customers’ needs.  

Helping Our Clients Rebuild
Historically,  the  performance  of  reinsurers  is  heavily 
impacted  by  natural  catastrophes  such  as  hurricanes, 
typhoons,  earthquakes  and  wildfires.  For  Arch  Re,  2020 
was particularly challenging from a catastrophe perspective, 
with over $400 million in losses related to natural disasters 
and COVID-19. Through these events, our clients continued 
to  rely  on  Arch’s  financial  strength  and  commitment  to 
fulfill our obligations. Our cedants relied on us to help their 
clients rebuild, and — with all of 2020’s challenges — they 
looked to us for leadership. 

Following years of heavy catastrophe activity, we were able 

to  flex  into  the  hardening  market  and  grow  gross  written 
premiums  by  $1.1  billion,  a  49.5%  increase  from  2019. 
Our risk management and resilient mix of business resulted 
in yet another year of profit in the face of record industry 
losses.  We  posted  a  99.5%  combined  ratio,  aligning  with 
our history of delivering above average performance. Over 
the past three years, our combined ratio averaged 96.8%, 
outperforming our peers’ average* of 102.0%.

Moving  forward,  we  anticipate  overall  pricing  trends  will 
continue to push upward due to social inflation concerns, a 
series of active catastrophe years and an increased focus on 
underwriting profit due to sustained low interest rate yields. 

Calendar Year Net Premiums Written by Line ($M)

Other

Marine, Aviation
and Space

Property
Catastrophe

Specialty

Property Excl.
Property
Catastrophe

Casualty

$3,000

$2,500

$2,000

$1,500

$1,000

$500

$0

2006

2007

2008

2009

2010

2011

2012

2013

2014

2015

2016

2017

2018

2019

2020

Reinsurance Segment: Casualty includes executive assurance, professional liability, workers’ compensation, healthcare and other. Specialty includes proportional 
motor, surety, accident and health, workers’ compensation catastrophe, agriculture, trade credit and other. Other includes life, casualty clash and other.

10

2020 Annual Report

Key Ratios for 2020

Loss Ratio

75.3%

Underwriting Expense Ratio

24.2%

Combined Ratio

99.5%

Specialty

Property

Casualty

Property Catastrophe

Marine, Aviation and Space

Other

29%
28%
22%
12%
6%
3%

Reinsurance Net Premiums Written
$2.5B

As of December 31, 2020

Enhancing Our Platform
We  embraced  the  opportunities  that  surfaced  in  2020  to 
enhance our expertise and expand our capabilities. In July, we 
acquired a majority stake in Precision Marketing Asia Pacific 
(PMAP),  a  firm  that  provides  data-driven  marketing  and 
distribution solutions to banks, insurance companies, retail 
groups and affinity partners across the Asia-Pacific region. 
This transaction provides Arch Re with increased distribution 
opportunities to expand both its life, and accident and health 
businesses in an important part of the world. 

In  addition,  we  fully  integrated  new  team  members  from 
two 2019 acquisitions into our operations. Colleagues from 
Barbican  were  integral  to  our  success  at  Lloyd’s  and  the 
global credit and surety employees that joined from Aspen 
Re augmented our existing team in Zurich.  

Continued Emphasis on Third-Party Capital 
Going  back  to  Flatiron  Re’s  formation  in  2005,  Arch 
Re  has  championed  third-party  capital,  allowing  us  to 
expand  our  client  and  broker  relationships  by  providing 
them  broader  solutions  as  we  leverage  our  underwriting 
expertise and generate fee income. In 2020, we expanded 
our platform’s business, team and capabilities to increase 
assets  under  management.  In  October,  we  announced 
our intent to acquire Watford Holdings Ltd. alongside two 
private  equity  partners.  Once  complete,  this  transaction 

will provide increased opportunities to advance our third-
party capital strategy and expand into a hardening market.

Investing In Our People 
The  unique  challenges  of  2020  helped  reveal  the  true 
character of our team. Embracing the concept of “separate 
but together,” our teams in Bermuda, Ireland, Switzerland, 
the  United  Kingdom  and  throughout  the  United  States 
worked  diligently  to  provide  our  clients  with  the  products 
and services they needed. 

Our substantial investments in technology over the past several 
years enabled us to successfully navigate the pandemic — 
whether  working  from  home  or  socially  distanced  in  our 
offices. Additionally, our emphasis on data analytics resulted 
in  several  deliverables  that  enabled  our  underwriters  to 
expand their capacity and improve risk selection. 

In  April  2020,  we  launched  our  Diversity  and  Inclusion 
Advisory Committee to provide a forum to examine avenues 
to  broaden  our  diversity  and  generate  discussions  about 
ways to make our Company more open and inclusive. We 
remain committed to continuing our practice of investing in 
our people to ensure we remain an employer of choice in 
an evolving industry.

*Peer Group includes: Aspen Re, AXIS Re, Berkley Re, Chubb Tempest Re, Everest 
Re, Partner Re, Renaissance Re, Sirius Re (acquired by Third Point Re in February 
2021), Transatlantic. 

11

Arch Capital Group Ltd.

Expanding Environmental, Social and Governance

topics 
Environmental,  Social  and  Governance  (ESG) 
present  risks  and  opportunities  across  our  businesses,  our 
investments and the communities where we live and conduct 
business. In 2020, we prioritized meaningful, companywide 
ESG integration by focusing on our management of the ESG 
topics deemed most relevant to our industry and Company 
and  published  our  first  Sustainability  Report  to  record  our 
ESG journey. We are committed to the ongoing integration 
of ESG topics, including risk and opportunity management, 
within five key areas.

We  understand  that  by  investing  in  the  success  of  Our 
People  as  individuals  and  professionals,  we  create  long-
term  sustainable  growth  as  an  organization.  Our  holistic 
approach  to  human  capital  management  is  centered 
on  providing  an  unparalleled  employee  experience.  This 
enables  us  to  attract  and  retain  a  diverse,  talented  and 
innovative workforce and to grow an inclusive culture where 
employees are engaged, developed, rewarded and fulfilled.  

We support our employees and stakeholders by incorporating 
sustainability  and  responsible,  ethical  practices  within 
Our  Operations.  By  actively  managing  ESG  risks  and 
embedding compliance, transparency, data protection and 
resiliency  across  all  areas  of  our  operations,  we  are  well 
positioned  to  protect  our  people  and  the  customers  who 
entrust us with their personal information and business.

 Arch’s Five ESG Pillars

Across  Our  Business,  we  look  for  areas  of  opportunity 
to  manage  ESG  risks  in  the  interest  of  our  insureds.  As  a 
global (re)insurer, understanding environmental issues in the 
context of sensitive sectors allows us to reduce risks and take 
advantage of opportunities in our underwriting for the benefit 
of our shareholders, customers and other stakeholders. By 
focusing  on  environmental  issues  through  an  integrated 
approach aligned with our corporate values, we can reduce 
such risk exposures and support our core business strategy.

We believe that the incorporation of material, nonfinancial 
factors  into  investment  selection  has  the  potential  to 
enhance  long-term  investment  returns.  When  it  comes 
to Our Investments, we consider ESG factors for both 
internally managed assets and assets managed for us by 
third  parties.  Additionally,  we  measure  our  exposure  to 
ESG risks at both individual asset classes and total portfolio 
levels.  Our  ESG  Aware  Policy,  approved  by  our  Board  of 
Directors  in  2019,  reflects  our  approach  to  sustainable 
value creation by requiring that we consider ESG factors in 
the investment process.

Striving  to  make  a  difference  by  investing  in  Our 
Communities  is  one  of  Arch’s  core  values.  While  the 
COVID-19  pandemic  continues  to  cause  hardship  across 
the globe, it also underscores our commitment to building 
stronger,  more  resilient  communities.  We  demonstrate 
our  ongoing  commitment  to  community  development  by 
supporting high-impact volunteer work and charitable giving 
within our focus areas of health, housing and education.

Our Business   
   Underwriting       
   Sustainable 
   Insurance Products

Our Investments 
   Responsible Investing

Our Communities    
   Health
   Housing
   Education

Our People   
   Well-Being 
   Diversity and Inclusion    
   Learning and Career  
   Development

Our Operations    
   Ethics
   Risk Management  
   Privacy and Data 
   Security
   Greenhouse Gas 
   Reporting

12

UNITED STATES
SECURITIES AND EXCHANGE COMMISSION
Washington, D.C.  20549
     FORM 10-K 

☒

☐

ANNUAL REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT OF 1934
OR
TRANSITION REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT OF 1934

For the Fiscal Year Ended December 31, 2020

Commission File No. 001-16209

ARCH CAPITAL GROUP LTD. 
 (Exact name of registrant as specified in its charter)

Bermuda
(State or other jurisdiction of incorporation or organization)
Waterloo House, Ground Floor
100 Pitts Bay Road, Pembroke HM 08, Bermuda
(Address of principal executive offices)

98-0374481
(I.R.S.  Employer Identification No.)

(441) 278-9250
(Registrant’s telephone number, including area code)

Securities registered pursuant to Section 12(b) of the Exchange Act:

Title of each class
Common Shares, $0.0011 par value per share
Depositary shares, each representing a 1/1,000th interest in a 5.25% Series E preferred share
Depositary shares, each representing a 1/1,000th interest in a 5.45% Series F preferred share

Trading Symbol (s)
ACGL
ACGLP
ACGLO

Name of each exchange on 
which registered
NASDAQ Stock Market
NASDAQ Stock Market
NASDAQ Stock Market

Securities registered pursuant to Section 12(g) of the Exchange Act:  None

Indicate by check mark if the registrant is a well-known seasoned issuer, as defined in Rule 405 of the Securities Act. Yes ☑   No ☐
Indicate by check mark if the registrant is not required to file reports pursuant to Section 13 or Section 15(d) of the Exchange Act. 
Yes ☐     No ☑
Indicate by check mark whether the registrant (1) has filed all reports required to be filed by Section 13 or 15(d) of the Exchange Act during 
the preceding 12 months (or for such shorter period that the registrant was required to file such reports), and (2) has been subject to such filing 
requirements for the past 90 days.  Yes ☑     No ☐
Indicate by check mark whether the registrant has submitted electronically every Interactive Data File required to be submitted pursuant to 
Rule 405 of Regulation S-T (§232.405 of this chapter) during the preceding 12 months (or for such shorter period that the registrant was 
required to submit such files).   Yes ☑     No ☐ 
Indicate by check mark whether the registrant is a large accelerated filer, an accelerated filer, a non-accelerated filer, a smaller reporting 
company, or an emerging growth company. See the definitions of “large accelerated filer,” “accelerated filer,” “smaller reporting company,” 
and “emerging growth company” in Rule 12b-2 of the Exchange Act.  

Large accelerated Filer ☑	Accelerated Filer ☐	Non-accelerated Filer ☐	Smaller reporting company ☐	Emerging Growth Company ☐ 

If an emerging growth company, indicate by check mark if the Registrant has elected not to use the extended transition period for complying 
with any new or revised financial accounting standards provided pursuant to Section 13(a) of the Exchange Act.  ☐
Indicate by check mark whether the registrant has filed a report on and attestation to its management's assessment of the effectiveness
of its internal control over financial reporting under Section 404(b) of the Sarbanes-Oxley Act (15 U.S.C. 7262(b)) by the registered
public accounting firm that prepared or issued its audit report. ☑
Indicate by check mark whether the registrant is a shell company (as defined in Rule 12b-2 of the Exchange Act).  Yes ☐  No ☑
The aggregate market value of the voting and non-voting common equity held by non-affiliates, computed by reference to the closing price as 
reported by the NASDAQ Stock Market as of the last business day of the Registrant’s most recently completed second fiscal quarter, was 
approximately $11.3 billion. 

As of February 19, 2021, there were 403,014,515 of the registrant’s common shares outstanding.

Portions of Part III and Part IV incorporate by reference our definitive proxy statement for the 2021 annual meeting of shareholders to be filed 
with the Securities and Exchange Commission pursuant to Regulation 14A within 120 days after December 31, 2020.

DOCUMENTS INCORPORATED BY REFERENCE

 
 
Table of Contents

ARCH CAPITAL GROUP LTD.

TABLE OF CONTENTS

Item

Page

ITEM 1.
ITEM 1A. RISK FACTORS 

BUSINESS

ITEM 1B. UNRESOLVED STAFF COMMENTS

ITEM 2.

ITEM 3.

ITEM 4.

PROPERTIES

LEGAL PROCEEDINGS

MINE SAFETY DISCLOSURES

PART I

PART II

ITEM 5.

MARKET FOR REGISTRANT'S COMMON EQUITY, RELATED STOCKHOLDER  
MATTERS AND ISSUER PURCHASES OF EQUITY SECURITIES

ITEM 6.

SELECTED FINANCIAL DATA

ITEM 7.

MANAGEMENT'S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND 
RESULTS OF OPERATIONS

ITEM 7A. QUANTITATIVE AND QUALITATIVE DISCLOSURES ABOUT MARKET RISK

ITEM 8.

FINANCIAL STATEMENTS AND SUPPLEMENTARY DATA

ITEM 9.

CHANGES IN AND DISAGREEMENTS WITH ACCOUNTANTS ON ACCOUNTING 
AND FINANCIAL DISCLOSURE

ITEM 9A. CONTROLS AND PROCEDURES

ITEM 9B. OTHER INFORMATION

PART III

ITEM 10.

DIRECTORS, EXECUTIVE OFFICERS AND CORPORATE GOVERNANCE

ITEM 11.

EXECUTIVE COMPENSATION

ITEM 12.

SECURITY OWNERSHIP OF CERTAIN BENEFICIAL OWNERS AND MANAGEMENT 
AND RELATED STOCKHOLDER MATTERS

ITEM 13.

CERTAIN RELATIONSHIPS AND RELATED TRANSACTIONS, AND DIRECTOR 
INDEPENDENCE

ITEM 14.

PRINCIPAL ACCOUNTANT FEES AND SERVICES

ITEM 15.

EXHIBITS AND FINANCIAL STATEMENT SCHEDULES

ITEM 16.

FORM 10-K SUMMARY

PART IV

3

32

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47

47

47

48

49

50

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83

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160

160

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161

162

162

162

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174

Table of Contents

Cautionary Note Regarding Forward-Looking Statements 

The Private Securities Litigation Reform Act of 1995 (“PSLRA”) provides a “safe harbor” for forward-looking statements. This 
report or any other written or oral statements made by or on behalf of us may include forward-looking statements, which reflect 
our current views with respect to future events and financial performance. All statements other than statements of historical fact 
included  in  or  incorporated  by  reference  in  this  report  are  forward-looking  statements.  Forward-looking  statements,  for 
purposes  of  the  PSLRA  or  otherwise,  can  generally  be  identified  by  the  use  of  forward-looking  terminology  such  as  “may,” 
“will,”  “expect,”  “intend,”  “estimate,”  “anticipate,”  “believe”  or  “continue”  and  similar  statements  of  a  future  or  forward-
looking nature or their negative or variations or similar terminology.

Forward-looking  statements  involve  our  current  assessment  of  risks  and  uncertainties.  Actual  events  and  results  may  differ 
materially  from  those  expressed  or  implied  in  these  statements.  Important  factors  that  could  cause  actual  events  or  results  to 
differ materially from those indicated in such statements are discussed below and elsewhere in this report and in our periodic 
reports filed with the Securities and Exchange Commission (“SEC”), and include:

•

•

•

•

•

•

•

•

•

our ability to successfully implement our business strategy during “soft” as well as “hard” markets;

acceptance of our business strategy, security and financial condition by rating agencies and regulators, as well as by brokers 
and our insureds and reinsureds;

our  ability  to  consummate  acquisitions  and  integrate  the  business  we  have  acquired  or  may  acquire  into  our  existing 
operations;

our  ability  to  maintain  or  improve  our  ratings,  which  may  be  affected  by  our  ability  to  raise  additional  equity  or  debt 
financings, by ratings agencies’ existing or new policies and practices, as well as other factors described herein;

general economic and market conditions (including inflation, interest rates, unemployment, housing prices, foreign currency 
exchange rates, prevailing credit terms and the depth and duration of a recession, including those resulting from COVID-19) 
and conditions specific to the reinsurance and insurance markets in which we operate;

competition,  including  increased  competition,  on  the  basis  of  pricing,  capacity  (including  alternative  sources  of  capital), 
coverage terms, or other factors;

developments in the world’s financial and capital markets and our access to such markets;

our  ability  to  successfully  enhance,  integrate  and  maintain  operating  procedures  (including  information  technology)  to 
effectively support our current and new business;

the loss of key personnel;

• material differences between actual and expected assessments for guaranty funds and mandatory pooling arrangements;

•

•

•

•

•

•

•

•

•

•

accuracy of those estimates and judgments utilized in the preparation of our financial statements, including those related to 
revenue  recognition,  insurance  and  other  reserves,  reinsurance  recoverables,  investment  valuations,  intangible  assets,  bad 
debts, income taxes, contingencies and litigation, and any determination to use the deposit method of accounting;

greater  than  expected  loss  ratios  on  business  written  by  us  and  adverse  development  on  claim  and/or  claim  expense 
liabilities related to business written by our insurance and reinsurance subsidiaries;

the adequacy of the Company’s loss reserves;

severity and/or frequency of losses;

 greater frequency or severity of unpredictable natural and man-made catastrophic events;

claims for natural or man-made catastrophic events or severe economic events in our insurance, reinsurance and mortgage 
businesses could cause large losses and substantial volatility in our results of operations;

the effect of climate change on our business;

the effect of contagious diseases (including COVID-19) on our business;

acts of terrorism, political unrest and other hostilities or other unforecasted and unpredictable events;

availability to us of reinsurance to manage our gross and net exposures and the cost of such reinsurance;

ARCH CAPITAL

1

2020  FORM 10-K

Table of Contents

•

•

•

•

•

•

•

•

•

•

•

the failure of reinsurers, managing general agents, third party administrators or others to meet their obligations to us;

the timing of loss payments being faster or the receipt of reinsurance recoverables being slower than anticipated by us;

our investment performance, including legislative or regulatory developments that may adversely affect the fair value of our 
investments;

changes in general economic conditions, including sovereign debt concerns or downgrades of U.S. securities by credit rating 
agencies, which could affect our business, financial condition and results of operations;

changes  in  the  method  for  determining  the  London  Inter-bank  Offered  Rate  (“LIBOR”)  and  the  potential  replacement  of 
LIBOR;

the volatility of our shareholders’ equity from foreign currency fluctuations, which could increase due to us not matching 
portions of our projected liabilities in foreign currencies with investments in the same currencies;

changes in accounting principles or policies or in our application of such accounting principles or policies;

changes in the political environment of certain countries in which we operate or underwrite business;

a  disruption  caused  by  cyber-attacks  or  other  technology  breaches  or  failures  on  us  or  our  business  partners  and  service 
providers, which could negatively impact our business and/or expose us to litigation;

statutory  or  regulatory  developments,  including  as  to  tax  matters  and  insurance  and  other  regulatory  matters  such  as  the 
adoption  of  proposed  legislation  that  would  affect  Bermuda-headquartered  companies  and/or  Bermuda-based  insurers  or 
reinsurers and/or changes in regulations or tax laws applicable to us, our subsidiaries, brokers or customers, including the 
Tax Cuts and Jobs Act of 2017; and

the  other  matters  set  forth  under  Item  1A  “Risk  Factors,”  Item  7  “Management’s  Discussion  and  Analysis  of  Financial 
Condition and Results of Operations” and other sections of this Annual Report on Form 10-K, as well as the other factors set 
forth  in  Arch  Capital  Group  Ltd.’s  other  documents  on  file  with  the  SEC,  and  management’s  response  to  any  of  the 
aforementioned factors. 

All  subsequent  written  and  oral  forward-looking  statements  attributable  to  us  or  persons  acting  on  our  behalf  are  expressly 
qualified in their entirety by these cautionary statements. The foregoing review of important factors should not be construed as 
exhaustive  and  should  be  read  in  conjunction  with  other  cautionary  statements  that  are  included  herein  or  elsewhere.  We 
undertake  no  obligation  to  publicly  update  or  revise  any  forward-looking  statement,  whether  as  a  result  of  new  information, 
future events or otherwise.

ARCH CAPITAL

2

2020  FORM 10-K

Table of Contents

ITEM 1. BUSINESS

PART I

the  “Company”  refer 

As  used  in  this  report,  references  to  “we,”  “us,”  “our,” 
“Arch”  or 
the  consolidated 
operations of Arch Capital Group Ltd. (“Arch Capital”) and 
its  subsidiaries.  Tabular  amounts  are  in  U.S.  Dollars  in 
thousands, except share amounts, unless otherwise noted. We 
refer you to Item 1A “Risk Factors” for a discussion of risk 
factors relating to our business.

to 

OUR COMPANY

General

reinsurance  and  mortgage 

Arch  Capital,  a  publicly  listed  Bermuda  exempted  company 
with $15.8 billion in capital at December 31, 2020, provides 
insurance, 
insurance  on  a 
worldwide  basis  through  its  wholly  owned  subsidiaries. 
While we are positioned to provide a full range of property, 
casualty  and  mortgage  insurance  and  reinsurance  lines,  we 
focus on writing specialty lines of insurance and reinsurance. 
For  2020,  we  wrote  $7.4  billion  of  net  premiums  and 
reported net income available to Arch common shareholders 
of  $1.4  billion.  Book  value  per  share  was  $30.31  at 
December  31,  2020,  compared  to  $26.42  per  share  at 
December 31, 2019.

Arch  Capital’s  registered  office  is  located  at  Clarendon 
House,  2  Church  Street,  Hamilton  HM  11,  Bermuda 
(telephone  number:  (441)  295-1422),  and  its  principal 
executive  offices  are  located  at  Waterloo  House,  Ground 
Floor,  100  Pitts  Bay  Road,  Pembroke  HM  08,  Bermuda 
(telephone  number:  (441)  278-9250).  Arch  Capital  makes 
available  free  of  charge  through  its  website,  located  at 
www.archcapgroup.com,  its  annual  reports  on  Form  10-K, 
quarterly reports on Form 10-Q, current reports on Form 8-K, 
and  all  amendments  to  those  reports  as  soon  as  reasonably 
practicable after such material is electronically filed with, or 
furnished  to,  the  SEC.  The  SEC  maintains  an  Internet  site 
that  contains  reports,  proxy  and  information  statements,  and 
other  information  regarding  issuers  that  file  electronically 
with the SEC (such as Arch Capital) and the address of that 
site is www.sec.gov.

Our History

Arch Capital was formed in September 2000 and became the 
sole  shareholder  of  Arch  Capital  Group  (U.S.)  Inc.  (“Arch-
U.S.”)  pursuant  to  an  internal  reorganization  transaction 
completed in November 2000. In October 2001, Arch Capital 
launched an underwriting initiative to meet current and future 

demand in the global insurance and reinsurance markets that 
included  the  recruitment  of  new  management  teams  and  an 
equity  capital  infusion  of  $763.2  million  which  created  a 
strong  capital  base  that  was  unencumbered  by  significant 
pre-2002  risks.  Since  then,  we  have  attracted  a  proven 
management  team  with  extensive  industry  experience  and 
continued  to  build  our  global  underwriting  platform  for  our 
insurance, 
insurance  and 
reinsurance businesses.

reinsurance  and  mortgage 

Our insurance underwriting platform initially consisted of our 
Bermuda and U.S. operations, followed by the establishment 
of  our  United  Kingdom-based  carrier,  Arch  Insurance  (UK) 
Limited  (“Arch  Insurance  (U.K.)”)  in  2004  and  Canadian 
operations  in  2005.  In  2009,  we  established  a  managing 
agency  and  syndicate  at  Lloyd’s  of  London  (“Lloyd’s”)  and 
significantly expanded our U.K. presence in 2019 through the 
acquisition  of  Barbican  Group  Holdings  Limited  (“Barbican 
Holdings”)  and  its  subsidiaries  (collectively,  “Barbican”). 
Our  U.S.  platform  has  grown  with  the  2018  acquisition  of 
McNeil  &  Company,  Inc.  (“McNeil”),  a  U.S.  nationwide 
risk  management  and  program 
leader 
administration.  See  “Operations—Insurance  Operations”  for 
further details on our insurance operations.

in  specialized 

Our  reinsurance  underwriting  platform  initially  consisted  of 
Arch  Reinsurance  Ltd.  in  Bermuda  (“Arch  Re  Bermuda”) 
and Arch Reinsurance Company (“Arch Re U.S.”), our U.S.-
licensed  reinsurer.  Our  reinsurance  operations  in  Europe 
began  in  2006  in  offices  in  Zurich,  Switzerland  and  the 
formation  of  a  Danish  underwriting  agency  in  2007.  In 
addition  to  the  U.S.  reinsurance  treaty  activities  of  Arch  Re 
U.S.,  we  launched  our  property  facultative  reinsurance 
underwriting  operations  in  2007,  which  underwrite  in  the 
U.S.,  Canada  and  Europe.  In  2008,  we  formed  Arch 
Reinsurance  Europe  Designated  Activity  Company  (“Arch 
Re  Europe”),  our 
reinsurance  company 
Ireland-based 
headquartered in Ireland with offices in Switzerland and the 
U.K.  The  acquisition  of  Barbican  in  November  2019  also 
contributed to our reinsurance operations. See “Operations—
Reinsurance  Operations” 
further  details  on  our 
for 
reinsurance operations.

Our  mortgage  operations  include  U.S.  and  international 
mortgage  insurance  and  reinsurance  operations,  as  well  as 
participation  in  government  sponsored  enterprise  (“GSE”) 
credit risk-sharing transactions.

The  U.S.  mortgage  platform  was  established  in  2014  and 
expanded  greatly  in  2016  through  the  acquisition  of  United 

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Guaranty  Corporation  (“UGC”)  and  its  subsidiaries  from 
American  International  Group,  Inc.  (“AIG”).  Our  U.S. 
primary  mortgage  operations  provide  mortgage  insurance 
products  and  services  to  the  U.S.  market.  These  operations 
include providers that are also approved as eligible mortgage 
insurers by Federal National Mortgage Association (“Fannie 
Mae”)  and  Federal  Home  Loan  Mortgage  Corporation 
(“Freddie Mac”), each a GSE. The mortgage operations also 
include  participation  in  GSE  credit  risk-sharing  transactions 
and direct mortgage insurance to U.S. mortgage lenders with 
respect to mortgages that lenders intend to retain in portfolio 
or include in non-agency securitizations along with mortgage 
reinsurance  on  a  global  basis.  Our  European  business  is 
written  through  our  Ireland-based  carrier,  Arch  Insurance 
(EU)  Designated  Activity  Company  (“Arch  Insurance 
(EU)”),  which  commenced  in  2014  providing  mortgage 
insurance  products  and  services  to  the  European  and  U.K. 
markets. In January 2019, Arch LMI Pty Ltd. (“Arch LMI”) 
was  authorized  by  the  Australian  Prudential  Regulation 
Authority (“APRA”) to write lenders’ mortgage insurance on 
a  direct  basis  in  Australia.  See  “Operations—Mortgage 
Operations” for further details on our mortgage operations.

is  our  belief 

It 
that  our  underwriting  platform,  our 
experienced  management  team  and  our  strong  capital  base 
have enabled us to establish a strong presence in the markets 
we participate in.

In  2014  we  acquired  approximately  11%  of  Watford 
Holdings Ltd. Watford Holdings Ltd. is the parent of Watford 
Re Ltd., a multi-line Bermuda reinsurance company (together 
with  Watford  Holdings  Ltd.,  “Watford”).  In  2017,  we 
acquired approximately 25% of Premia Holdings Ltd. Premia 
Holdings  Ltd.  is  the  parent  of  Premia  Reinsurance  Ltd.,  a 
multi-line  Bermuda  reinsurance  company  (together  with 
Premia Holdings Ltd., “Premia”). In the 2020 fourth quarter, 
we  entered  into  agreements  pursuant  to  which  we,  together 
with certain investment funds managed by Kelso & Company 
and  certain  investment  funds  managed  by  Warburg  Pincus 
LLC, expect to acquire all of the common shares of Watford 
Holdings  Ltd.  in  transactions  expected  to  close  in  the  first 
half  of  2021,  subject  to  customary  closing  conditions 
including 
shareholder  approval.  See 
“Operations—Other  Operations”  for  further  details  on 
Watford and Premia.

regulatory  and 

The  board  of  directors  of  Arch  Capital  (the  “Board”)  has 
authorized  the  investment  in  Arch  Capital’s  common  shares 
through  a  share  repurchase  program.  Repurchases  under  the 
share repurchase program may be effected from time to time 
in  open  market  or  privately  negotiated  transactions  through 
December  31,  2021.  Since  the  inception  of  the  share 
repurchase program in February 2007 through December 31, 
2020,  Arch  Capital  has  repurchased  389.2  million  common 
shares  for  an  aggregate  purchase  price  of  $4.1  billion.  At 
December  31,  2020,  the  total  remaining  authorization  under 

the share repurchase program was $916.5 million. The timing 
and amount of the repurchase transactions under this program 
will  depend  on  a  variety  of  factors,  including  market 
conditions  and  corporate  and  regulatory  considerations. 
Depending upon results of operations, market conditions and 
the  development  of  the  economy,  as  well  as  other  factors, 
generally  we  will  consider  share  repurchases  on  an 
opportunistic basis from time to time. During the 2020 fiscal 
year,  we  repurchased  2,850,102  shares  for  an  aggregate 
amount of $83.5 million under our share repurchase program.

OPERATIONS

We classify our businesses into three underwriting segments– 
insurance, reinsurance and mortgage–and two other operating 
segments–‘other’  and  corporate  (non-underwriting).  For  an 
analysis  of  our  underwriting  results  by  segment,  see  note  4, 
“Segment 
financial 
statements  in  Item  8  and  “Management’s  Discussion  and 
Analysis of Financial Condition and Results of Operations—
Results of Operations.”

to  our  consolidated 

Information,” 

COVID-19 Pandemic

The  global  pandemic  resulting  from  the  novel  coronavirus 
(“COVID-19”)  has  disrupted  the  global  economy,  causing  a 
significant slowdown in economic activity around the world. 
Businesses  around  the  world,  including  ours,  have  been 
impacted  by  the  restrictions  on  travel,  some  business 
activities and non-essential services and the reverberations of 
severe  curtailment  of  normal  activities.  We  have  taken 
proactive  steps  to  ensure  the  health  and  safety  of  our 
employees with the majority of our 4,500 employees working 
from  home  to  maintain  business  continuity.  Our  employees 
and  businesses  have  adapted  to  the  changing  needs  of  our 
clients,  customers  and  business  partners.  We  remain 
committed  to  continuing  to  carrying  on  our  business 
activities without interruption during these challenging times.

Insurance Operations

Our  insurance  operations  are  conducted  in  Bermuda,  the 
United  States,  the  United  Kingdom,  Europe,  Canada,  and 
in  Bermuda  are 
Australia.  Our 
conducted  through  Arch  Insurance  (Bermuda),  a  division  of 
Arch Re Bermuda, and Alternative Re Limited. 

insurance  operations 

are  Arch 

Insurance  Company 

In  the  U.S.,  our  insurance  group’s  principal  insurance 
subsidiaries 
(“Arch 
Insurance”),  Arch  Specialty  Insurance  Company,  Arch 
Indemnity  and  Arch  Property  &  Casualty 
Insurance 
Company  (“Arch  P&C”).  Arch  Insurance  is  an  admitted 
insurer in 50 states, the District of Columbia, Puerto Rico, the 
U.S. Virgin Islands and Guam. Arch Specialty is an approved 
excess  and  surplus  lines  insurer  in  50  states,  the  District  of 

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Columbia,  Puerto  Rico  and  the  U.S.  Virgin  Islands  and  an 
authorized insurer in one state. Arch Indemnity is an admitted 
insurer in 49 states and the District of Columbia. Arch P&C, 
which is not currently writing business, is an admitted insurer 
in  36  states  and  the  District  of  Columbia.  Our  insurance 
group also operates McNeil, a specialized risk manager and a 
program  administrator  based  in  Cortland,  New  York.  The 
headquarters  for  our 
insurance  group’s  U.S.  support 
operations (excluding underwriting units) are in Jersey City, 
New Jersey. The insurance group has offices throughout the 
U.S.,  including  five  regional  offices  located  in  Alpharetta, 
Georgia,  Chicago,  Illinois,  New  York,  New  York,  San 
Francisco,  California,  Dallas,  Texas  and  additional  branch 
offices.

Our  insurance  operations  in  Canada  are  conducted  through 
Arch  Insurance  Canada  Ltd.,  a  Canada  domestic  company 
which is authorized in all Canadian provinces and territories. 
Arch Insurance Canada is headquartered in Toronto, Ontario. 

In  2019,  Arch  Insurance  (EU),  based  in  Dublin,  Ireland, 
received  authorization  from  the  Central  Bank  of  Ireland 
(“CBOI”) to expand its classes of business as part of our plan 
to  address  the  U.K.’s  departure  from  the  European  Union 
(“Brexit”). As of January 2020, all of the insurance business 
in  the  European  Union  (“EU”)  previously  written  by  Arch 
Insurance  (U.K.)  is  now  written  through  Arch  Insurance 
(EU).  Arch  Insurance  (EU)  has  branches  in  the  EU  in 
Denmark and Italy and outside the EU in the U.K. At the end 
of  December  2020,  Arch  Insurance  (U.K.)  received  court 
approval  in  the  U.K.  to  transfer  its  legacy  book  of  business 
written  in  the  European  Economic  Area  (“EEA”)  to  Arch 
Insurance (EU) under Part VII of the U.K. Financial Services 
and Markets Act 2000.

We conduct insurance operations on several platforms in the 
U.K.,  including  Arch  Insurance  (U.K.),  Lloyd’s  syndicates: 
Arch  Syndicate  2012  (“Arch  Syndicate  2012”)  and  Arch 
Syndicate  1955  (“Arch  Syndicate  1955”).  Arch  Managing 
Agency  Limited  (“AMAL”)  is  the  managing  agent  of  Arch 
Syndicate  2012  and  Arch  Syndicate  1955.  Our  Lloyd’s 
syndicates provide us access to Lloyd’s extensive distribution 
network  and  worldwide  licenses.  AMAL  also  acts  as 
managing  agent  for  third  party  members  of  Arch  Syndicate 
1955,  which  generates  fee  income.  Arch  Underwriting  at 
Lloyd’s (Australia) Pty Ltd, based in Sydney, Australia, is a 
Lloyd’s services company which underwrites exclusively for 
our  Lloyd’s  syndicates.  With  the  Barbican  acquisition,  we 
also  acquired  Castel  Underwriting  Agencies  Limited 
(“Castel”) in the U.K. and Castel Underwriting Europe BV in 
the  Netherlands,  giving  us 
additional  underwriting 
intermediary  capabilities  for  our  underwriting  platforms. 
Collectively, the U.K. insurance operations are referred to as 
“Arch  U.K.”.  Arch  U.K.  conducts  its  operations  from 
London  and  other  locations  in  the  U.K.  Arch  Insurance 

(U.K.) will be winding down branch offices in other member 
states of the EEA following Brexit and the expiration of the 
transition  period  negotiated  between  the  U.K.  and  the  EU 
from January 31, 2020 to December 31, 2020. 

Strategy. Our insurance group’s strategy is to operate in lines 
of  business  in  which  underwriting  expertise  can  make  a 
meaningful  difference  in  operating  results.  The  insurance 
group  focuses  on  talent-intensive  rather  than  labor-intensive 
business and seeks to operate profitably (on both a gross and 
net  basis)  across  all  of  its  product  lines.  To  achieve  these 
objectives, our insurance group’s operating principles are to:

•

its 

that 

group 

believes 

Capitalize on profitable underwriting opportunities. Our 
experienced 
insurance 
management  and  underwriting  teams  are  positioned  to 
locate  and  identify  business  with  attractive  risk/reward 
characteristics.  As  profitable  underwriting  opportunities 
are identified, our insurance group will continue to seek 
to make additions to its product portfolio in order to take 
advantage  of  market  trends.  This  includes  adding 
underwriting  and  other  professionals  with  specific 
expertise in specialty lines of insurance.

•  Centralize responsibility for underwriting. Our insurance 
group  consists  of  a  range  of  product  lines.  The 
underwriting  executive  in  charge  of  each  product  line 
the  underwriting  product 
oversees  all  aspects  of 
development  process  within  such  product  line.  Our 
insurance group believes that centralizing the control of 
such  product  line  with  the  respective  underwriting 
executive  allows  for  close  management  of  underwriting 
and  creates  clear  accountability  for  results.  Our  U.S. 
insurance  group  has  four  regional  offices,  and  the 
executive 
is  primarily 
the  marketing  and 
responsible  for  all  aspects  of 
distribution of our insurance group’s products, including 
the  management  of  broker  and  other  producer 
relationships  in  such  executive’s  respective  region.  In 
our  non-U.S.  offices,  a  similar  philosophy  is  observed, 
with  responsibility  for  the  management  of  each  product 
line  residing  with  the  senior  underwriting  executive  in 
charge of such product line.

in  charge  of  each  region 

•  Maintain  a  disciplined  underwriting  philosophy.  Our 
insurance group’s underwriting philosophy is to generate 
an underwriting profit through prudent risk selection and 
proper pricing. Our insurance group believes that the key 
to  this  approach  is  adherence  to  uniform  underwriting 
standards  across  all  types  of  business.  Our  insurance 
group’s  senior  management  closely  monitors 
the 
underwriting process.

•  Focus  on  providing  superior  claims  management.  Our 
insurance  group  believes  that  claims  handling  is  an 
integral  component  of  credibility  in  the  market  for 

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insurance  products.  Therefore,  our  insurance  group 
believes  that  its  ability  to  handle  claims  expeditiously 
and  satisfactorily  is  a  key  to  its  success.  Our  insurance 
group  employs  experienced  claims  professionals  and 
also utilizes experienced external claims managers (third 
party administrators) where appropriate.

•  Promote and utilize an efficient distribution system. Our 
insurance  group  believes  that  promoting  and  utilizing  a 
multi-channel  distribution  system,  provides  efficient 
access  to  its  broad  customer  base.  Our  insurance  group 
works  with  select  international,  national  and  regional 
retail  and  wholesale  brokers  and  leading  managing 
general  agencies,  including  McNeil,  to  distribute  our 
insurance  products.  The  Arch  U.K.  Regional  Division 
expanded our retail distribution network in the U.K.

•

Grow  strategic  partnerships  in  stable  and  niche  areas. 
Our insurance group aims to build more integrated long-
term  alignment  with  strategic  partners  offering  superior 
access 
scalable 
to  niche  opportunities,  quality 
businesses, or lines with reliable defensive qualities. 

Our insurance group writes business on both an admitted and 
non-admitted  basis.  Our  insurance  group  focuses  on  various 
specialty 
in  note  4,  “Segment 
Information,” to our consolidated financial statements in Item 
8.

lines,  as  described 

insurance 

Philosophy.  Our 

Underwriting 
group’s 
underwriting philosophy is to generate an underwriting profit 
(on both a gross and net basis) through prudent risk selection 
and  proper  pricing  across  all  types  of  business.  One  key  to 
this  philosophy  is  the  adherence  to  uniform  underwriting 
standards  across  each  product  line  that  focuses  on  the 
following:

• 

• 

• 

• 

• 

• 

risk selection;

desired attachment point; 

limits and retention management; 

due diligence, including financial condition, claims 
history, management, and product, class and territorial 
exposure; 

underwriting authority and appropriate approvals; and 

collaborative decision making. 

Marketing.  Our  insurance  group’s  products  are  marketed 
principally through a group of licensed independent retail and 
wholesale  brokers.  Clients  (insureds)  are  referred  to  our 
insurance  group  through  a  large  number  of  international, 
national  and  regional  brokers  and  captive  managers  who 
receive  from  the  insured  or  insurer  a  set  fee  or  brokerage 
commission usually equal to a percentage of gross premiums. 
In the past, our insurance group also entered into contingent 

commission  arrangements  with  some  brokers  that  provided 
for the payment of additional commissions based on volume 
or profitability of business. Currently, some of our contracts 
with  brokers  provide  for  additional  commissions  based  on 
volume.  We  have  also  entered  into  service  agreements  with 
select  international  brokers  that  provide  access  to  their 
proprietary  industry  analytics.  In  general,  our  insurance 
group  has  no  implied  or  explicit  commitments  to  accept 
business  from  any  particular  broker  and  neither  brokers  nor 
any  other  third  parties  have  the  authority  to  bind  our 
insurance  group,  except  in  the  case  where  underwriting 
authority  may  be  delegated  contractually  to  select  program 
administrators.  Such  administrators  are  subject  to  a  due 
diligence  financial  and  operational  review  prior  to  any  such 
delegation  of  authority  and  ongoing  reviews  and  audits  are 
carried  out  as  deemed  necessary  by  our  insurance  group  to 
assure  the  continuing  integrity  of  underwriting  and  related 
business  operations.  See  “Risk  Factors—Risks  Relating  to 
Our  Industry,  Business  and  Operations—We  could  be 
materially  adversely  affected  to  the  extent  that  important 
third parties with whom we do business do not adequately or 
appropriately  manage  their  risks,  commit  fraud  or  otherwise 
breach  obligation  owed  to  us.”  For  information  on  major 
brokers,  see  note  18,  “Commitments  and  Contingencies—
Concentrations of Credit Risk,” to our consolidated financial 
statements in Item 8.

Risk Management and Reinsurance. In the normal course of 
business,  our  insurance  group  may  cede  a  portion  of  its 
premium  on  a  quota  share  or  excess  of  loss  basis  through 
treaty  or  facultative  reinsurance  agreements.  Reinsurance 
arrangements  do  not  relieve  our  insurance  group  from  its 
primary obligations to insureds. Reinsurance recoverables are 
recorded  as  assets,  predicated  on  the  reinsurers’  ability  to 
meet  their  obligations  under  the  reinsurance  agreements.  If 
the reinsurers are unable to satisfy their obligations under the 
agreements,  our  insurance  subsidiaries  would  be  liable  for 
such defaulted amounts. Our principal insurance subsidiaries, 
with  oversight  by  a  group-wide  reinsurance  steering 
committee  (“RSC”),  are  selective  with  regard  to  reinsurers, 
seeking to place reinsurance with only those reinsurers which 
meet  and  maintain  specific  standards  of  established  criteria 
for  financial  strength.  The  RSC  evaluates  the  financial 
viability of its reinsurers through financial analysis, research 
and  review  of  rating  agencies’  reports  and  also  monitors 
reinsurance  recoverables  and  collateral  with  unauthorized 
reinsurers.  The 
includes  ongoing 
qualitative  and  quantitative  assessments  of  reinsurers, 
including  a  review  of  the  financial  stability,  appropriate 
licensing,  reputation,  claims  paying  ability  and  underwriting 
philosophy  of  each  reinsurer.  Our  insurance  group  will 
continue to evaluate its reinsurance requirements. See note 8, 
“Reinsurance,”  to  our  consolidated  financial  statements  in 
Item 8.

financial 

analysis 

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For  catastrophe-exposed  insurance  business,  our  insurance 
group  seeks  to  limit  the  amount  of  exposure  to  catastrophic 
losses  it  assumes  through  a  combination  of  managing 
aggregate  limits,  underwriting  guidelines  and  reinsurance. 
For  a  discussion  of  our  risk  management  policies,  see 
“Management’s  Discussion  and  Analysis  of  Financial 
Condition  and  Results  of  Operations—Critical  Accounting 
Policies,  Estimates  and  Recent  Accounting  Pronouncements
—Ceded Reinsurance” and “Risk Factors—Risks Relating to 
Our  Industry,  Business  and  Operations—The  failure  of  any 
of  the  loss  limitation  methods  we  employ  could  have  a 
material adverse effect on our financial condition or results of 
operations.”

insurance  group’s  claims 
Claims  Management.  Our 
management  function  is  performed  by  claims  professionals, 
as well as experienced external claims managers (third party 
administrators),  where 
to 
investigating,  evaluating  and  resolving  claims,  members  of 
our 
insurance  group’s  claims  departments  work  with 
underwriting  professionals  as  functional  teams  in  order  to 
develop products and services desired by the group’s clients.

appropriate. 

addition 

In 

Reinsurance Operations

through  our 

Our  reinsurance  operations  are  conducted  on  a  worldwide 
basis 
reinsurance  subsidiaries,  Arch  Re 
Bermuda,  Arch  Re  U.S.,  Arch  Syndicate  2012,  Arch 
Syndicate 1955 and Arch Re Europe. Arch Re Bermuda is a 
registered Class 4 general business insurer and Class C long-
term  insurer  and  is  headquartered  in  Hamilton,  Bermuda. 
Arch  Re  U.S.  is  licensed  or  is  an  accredited  or  otherwise 
approved reinsurer in 50 states, the District of Columbia and 
Puerto Rico, the provinces of Ontario and Quebec in Canada 
with  its  principal  U.S.  offices  in  Morristown,  New  Jersey. 
Treaty  operations  in  Canada  are  conducted  through  the 
Canadian branch of Arch Re U.S. (“Arch Re Canada”). Arch 
Re  U.S.  is  also  an  admitted  insurer  in  Guam.  Our  property 
facultative  reinsurance  operations  are  conducted  primarily 
through  Arch  Re  U.S.  The  property  facultative  reinsurance 
operations have offices throughout the U.S., Canada, Europe 
and  the  U.K.  Arch  Re  Europe,  licensed  and  authorized  as  a 
non-life  reinsurer  and  a  life  reinsurer,  is  headquartered  in 
Dublin,  Ireland  with  branch  offices  outside  the  EEA  in 
Zurich  and  London.  AMAL  is  the  managing  agent  for  the 
reinsurance operations of Arch Syndicate 1955.

Strategy. Our reinsurance group’s strategy is to capitalize on 
financial  capacity,  experienced  management  and 
our 
operational flexibility to offer multiple products through our 
operations.  The  reinsurance  group’s  operating  principles  are 
to:

•

Actively select and manage risks. Our reinsurance group 
only underwrites business that meets certain profitability 
criteria, and it emphasizes disciplined underwriting over 

premium  growth.  To  this  end,  our  reinsurance  group 
reinsurance 
centralized 
maintains 
underwriting guidelines and authorities.

control 

over 

• Maintain  flexibility  and  respond  to  changing  market 
conditions.  Our  reinsurance  group’s  organizational 
structure  and  philosophy  allows  it  to  take  advantage  of 
increases  or  changes  in  demand  or  favorable  pricing 
trends.  Our  reinsurance  group  believes  that  its  existing 
platforms  in  Bermuda,  the  U.S.,  U.K.,  Europe  and 
Canada,  broad  underwriting  expertise  and  substantial 
capital  facilitate  adjustments  to  its  mix  of  business 
geographically  and  by  line  and  type  of  coverage.  Our 
reinsurance  group  believes  that  this  flexibility  allows  it 
to  participate  in  those  market  opportunities  that  provide 
the greatest potential for underwriting profitability.

• Maintain  a  low  cost  structure.  Our  reinsurance  group 
believes  that  maintaining  tight  control  over  its  staffing 
level  and  operating  primarily  as  a  broker  market 
reinsurer  permits  it  to  maintain  low  operating  costs 
relative to its capital and premiums.

In 

assessments 

a  proportional 

Our reinsurance group writes business on both a proportional 
and  non-proportional  basis  and  writes  both  treaty  and 
facultative  business. 
reinsurance 
arrangement (also known as pro rata reinsurance, quota share 
reinsurance or participating reinsurance), the reinsurer shares 
a proportional part of the original premiums and losses of the 
reinsured. The reinsurer pays the cedent a commission which 
is  generally  based  on  the  cedent’s  cost  of  acquiring  the 
business  being  reinsured  (including  commissions,  premium 
taxes, 
administrative 
expenses)  and  may  also  include  a  profit  factor.  Non-
proportional  (or  excess  of  loss)  reinsurance  indemnifies  the 
reinsured  against  all  or  a  specified  portion  of  losses  on 
underlying  insurance  policies  in  excess  of  a  specified 
amount,  which  is  called  a  “retention.”  Non-proportional 
business  is  written  in  layers  and  a  reinsurer  or  group  of 
reinsurers  accepts  a  band  of  coverage  up  to  a  specified 
amount.  The  total  coverage  purchased  by  the  cedent  is 
referred to as a “program.” Any liability exceeding the upper 
limit of the program reverts to the cedent.

and  miscellaneous 

The  reinsurance  group’s  treaty  operations  generally  seek  to 
write  significant  lines  on  less  commoditized  classes  of 
coverage, such as specialty property and casualty reinsurance 
treaties.  However,  with  respect  to  other  classes  of  coverage, 
the 
such  as  property  catastrophe  and  casualty  clash, 
reinsurance  group’s 
in  a 
relatively  large  number  of  treaties  where  they  believe  that 
they can underwrite and process the business efficiently. The 
reinsurance  group’s  property  facultative  operations  write 
reinsurance  on  a  facultative  basis  whereby  they  assume  part 
of  the  risk  under  primarily  single  insurance  contracts. 
Facultative  reinsurance  is  typically  purchased  by  ceding 

treaty  operations  participate 

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individual  risks  not  covered  by 

companies  for 
their 
reinsurance  treaties,  for  unusual  risks  or  for  amounts  in 
excess of the limits on their reinsurance treaties.

Our reinsurance group focuses on various specialty lines, as 
to  our 
in  note  4,  “Segment  Information,” 
described 
consolidated financial statements in Item 8.

market. Such arrangements reduce the effect of individual or 
aggregate  losses  on,  and  in  certain  cases  may  also  increase 
the  underwriting  capacity  of,  our  reinsurance  group.  Our 
reinsurance group will continue to evaluate its retrocessional 
requirements  based  on  its  net  appetite  for  risk.  See  note  8, 
“Reinsurance,”  to  our  consolidated  financial  statements  in 
Item 8.

Underwriting  Philosophy.  Our  reinsurance  group  employs  a 
disciplined,  analytical  approach  to  underwriting  reinsurance 
risks  that  is  designed  to  specify  an  adequate  premium  for  a 
given  exposure  commensurate  with  the  amount  of  capital  it 
anticipates  placing  at  risk.  A  number  of  our  reinsurance 
group’s underwriters are also actuaries. It is our reinsurance 
group’s  belief  that  employing  actuaries  on  the  front-end  of 
the underwriting process gives it an advantage in evaluating 
risks and constructing a high quality book of business.

As  part  of  the  underwriting  process,  our  reinsurance  group 
typically assesses a variety of factors, including:

•

•

•

•

•

adequacy  of  underlying  rates  for  a  specific  class  of 
business and territory;

the reputation of the proposed cedent and the likelihood 
of establishing a long-term relationship with the cedent, 
the geographic area in which the cedent does business, 
together with its catastrophe exposures, and our 
aggregate exposures in that area;

historical loss data for the cedent and, where available, 
for the industry as a whole in the relevant regions, in 
order to compare the cedent’s historical loss experience 
to industry averages; 

projections of future loss frequency and severity; and 

the perceived financial strength of the cedent. 

Marketing.  Our  reinsurance  group  generally  markets  its 
reinsurance  products  through  brokers,  except  our  property 
facultative reinsurance group, which generally deals directly 
with the ceding companies. Brokers do not have the authority 
to  bind  our  reinsurance  group  with  respect  to  reinsurance 
agreements,  nor  does  our  reinsurance  group  commit  in 
advance  to  accept  any  portion  of  the  business  that  brokers 
submit  to  them.  Our  reinsurance  group  generally  pays 
brokerage fees to brokers based on negotiated percentages of 
the premiums written through such brokers. For information 
on  major  brokers,  see  note  18,  “Commitments  and 
Contingencies—Concentrations  of  Credit  Risk,”  to  our 
consolidated financial statements in Item 8.

Risk  Management  and  Retrocession.  Our  reinsurance  group 
currently  purchases  a  combination  of  per  event  excess  of 
loss,  per  risk  excess  of  loss,  proportional  retrocessional 
agreements  and  other  structures  that  are  available  in  the 

exposed 

catastrophe 

For 
reinsurance  business,  our 
reinsurance  group  seeks  to  limit  the  amount  of  exposure  it 
assumes  from  any  one  reinsured  and  the  amount  of  the 
aggregate exposure to catastrophe losses from a single event 
in  any  one  geographic  zone.  For  a  discussion  of  our  risk 
management  policies,  see  “Management’s  Discussion  and 
Analysis of Financial Condition and Results of Operations—
Critical  Accounting  Policies,  Estimates  and  Recent 
Accounting  Pronouncements—Ceded  Reinsurance”  and 
“Risk Factors—Risks Relating to Our Industry, Business and 
Operations—The failure of any of the loss limitation methods 
we  employ  could  have  a  material  adverse  effect  on  our 
financial condition or results of operations.”

Claims  Management.  Claims  management  includes  the 
receipt  of  initial  loss  reports,  creation  of  claim  files, 
determination  of  whether  further  investigation  is  required, 
establishment  and  adjustment  of  case  reserves  and  payment 
of claims. Additionally, audits are conducted for both specific 
claims  and  overall  claims  procedures  at  the  offices  of 
selected ceding companies. Our reinsurance group makes use 
of outside consultants for claims work from time to time.

Mortgage Operations

Our  mortgage  operations  provide  U.S.  and  international 
mortgage  insurance  and  reinsurance  operations  as  well  as 
participation  in  GSE  credit  risk-sharing  transactions.  Our 
mortgage  group  includes  direct  mortgage  insurance  in  the 
U.S.  primarily  through  Arch  Mortgage  Insurance  Company, 
United Guaranty Residential Insurance Company, and  Arch 
Mortgage  Guaranty  Company  (together,  “Arch  MI  U.S.”); 
mortgage reinsurance primarily through Arch Re Bermuda to 
mortgage 
insurers  on  both  a  proportional  and  non-
proportional basis globally; direct mortgage insurance in the 
EEA  and  U.K.  through  Arch  Insurance  (EU),  in  Australia 
through Arch LMI, and in Hong Kong through Arch MI Asia 
Limited (“Arch MI Asia”); and participation in various GSE 
credit  risk-sharing  products  primarily  through  Arch  Re 
Bermuda.

In 2014 we entered the U.S. mortgage insurance marketplace, 
underwriting  on  the  Arch  Mortgage  Insurance  Company 
platform. Arch Mortgage Insurance Company is licensed and 
operates in all 50 states, the District of Columbia and Puerto 
Rico.  In  December  2016,  we  completed  the  acquisition  of 
UGC  and  its  primary  operating  subsidiary,  United  Guaranty 

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Residential  Insurance  Company,  which  is  licensed  and 
operates in all 50 states and the District of Columbia. 

•

to  maintaining  certain  ongoing 

Arch  Mortgage  Insurance  Company  and  United  Guaranty 
Residential Insurance Company have each been approved as 
an eligible mortgage insurer by Fannie Mae and Freddie Mac, 
subject 
requirements 
(“eligible  mortgage  insurer”).  Arch  Mortgage  Guaranty 
Company offers direct mortgage insurance to U.S. mortgage 
lenders with respect to mortgages that lenders intend to retain 
in  portfolio  or  include  in  non-agency  securitizations.  Arch 
Mortgage  Guaranty  Company,  which  is  licensed  in  all  50 
states  and  the  District  of  Columbia,  insures  mortgages  that 
are not intended to be sold to the GSEs, and it is therefore not 
approved by either GSE as an eligible mortgage insurer.

Arch  Insurance  (EU)  was  licensed  and  authorized  by  the 
CBOI in 2011 to operate on a pan-European basis under the 
EU’s  freedom  of  establishment/freedom  of  services  rules. 
Arch  Underwriters  Europe  Limited  (“Arch  Underwriters 
Europe”),  an  Irish  company  authorized  as  an  insurance  and 
reinsurance intermediary by the CBOI, acts on behalf of Arch 
Insurance  (EU)  and  Arch  Re  Europe  with  branch  offices  in 
the  EEA  in  Italy  and  Finland  and  outside  the  EEA  in 
Switzerland  and  the  U.K.  In  January  2019,  Arch  LMI  was 
authorized  by  APRA  to  write  lenders’  mortgage  insurance. 
Arch LMI is headquartered in Sydney, Australia and focuses 
on  providing  direct 
insurance  and 
reinsurance to the Australian market. 

lenders’  mortgage 

Strategy.  The  mortgage  insurance  market  operates  on  a 
distinct  underwriting  cycle,  with  demand  driven  mainly  by 
the  housing  market  and  general  economic  conditions.  As  a 
result, the creation of the mortgage group provides us with a 
more diverse revenue stream. Our mortgage group’s strategy 
is  to  capitalize  on  its  financial  capacity,  mortgage  insurance 
technology  platform,  operational  flexibility  and  experienced 
management  to  offer  mortgage  insurance,  reinsurance  and 
other risk-sharing products in the U.S. and around the world.

Our mortgage group’s operating principles and goals are to:

•

group 

Capitalize on profitable underwriting opportunities. Our 
mortgage 
experienced 
management,  analytics  and  underwriting  teams  are 
positioned 
identify  and  evaluate  business  with 
attractive risk/reward characteristics.

believes 

that 

its 

to 

• Maintain  a  disciplined  credit  risk  philosophy.  Our 
mortgage  group’s  credit  risk  philosophy  is  to  generate 
underwriting  profit 
through  disciplined  credit  risk 
analysis  and  proper  pricing.  Our  mortgage  group 
believes  that  the  key  to  this  approach  is  maintaining 
discipline across all phases of the applicable housing and 
mortgage lending cycles.

its 

Provide superior and innovative mortgage products and 
services.  Our  mortgage  group  believes  that  it  can 
leverage 
financial  capacity,  experience  across 
insurance  product  lines  and  the  mortgage  finance 
industry,  and  its  analytics  and  technology  to  provide 
innovative  products  and  superior  service.  The  mortgage 
group  believes  that  its  delivery  of  tailored  products  that 
meet the specific, evolving needs of its customers will be 
a key to the group’s success.

• Maintain  our  position  as  a  leading  provider  of  U.S. 
mortgage 
to  our  2014 
insurance  business.  Prior 
acquisition, Arch Mortgage Insurance Company was the 
leading  provider  of  mortgage  insurance  products  and 
services  to  credit  unions  in  the  U.S.  We  broadened  our 
customer  base  into  national  and  regional  banks  and 
mortgage  originators  while  maintaining  and  increasing 
our share of the mortgage insurance credit union market. 
With the acquisition of UGC in 2016, a leading provider 
of mortgage insurance products and services to national 
and regional banks and mortgage originators, we became 
a leading provider of U.S. mortgage insurance.

Our mortgage group focuses on the following areas:

•

Direct  mortgage  insurance  in  the  United  States.  Under 
their  monoline  insurance  licenses,  each  of  Arch’s 
eligible  mortgage  insurers  may  only  offer  private 
mortgage  insurance  covering  first  lien,  one-to-four 
family residential mortgages. Nearly all of our mortgage 
insurance  written  provides  first  loss  protection  on  loans 
originated  by  mortgage  lenders  and  sold  to  the  GSEs. 
Each GSE’s Congressional charter generally prohibits it 
from purchasing a mortgage where the principal balance 
of the mortgage is in excess of 80% of the value of the 
property securing the mortgage unless the excess portion 
of  the  mortgage  is  protected  against  default  by  lender 
recourse,  participation  or  by  a  qualified  insurer.  As  a 
result,  such  “high  loan-to-value  mortgages”  purchased 
by  Fannie  Mae  or  Freddie  Mac  generally  are  insured 
with private mortgage insurance.

Mortgage insurance protects the insured lender, investor 
or GSE against loss in the event of a borrower’s default. 
If  a  borrower  defaults  on  mortgage  payments,  private 
mortgage insurance reduces, and may eliminate, losses to 
the  insured.  Private  mortgage  insurance  may  also 
facilitate  the  sale  of  mortgage  loans  in  the  secondary 
mortgage  market  because  of  the  credit  enhancement  it 
provides. Our primary U.S. mortgage insurance policies 
predominantly cover individual loans and are effective at 
the  time  the  loan  is  originated.  We  also  may  enter  into 
insurance  transactions  with  lenders  and  investors,  under 
which  we  insure  a  portfolio  of  loans  at  or  after 
origination. Although not currently a significant product, 
we  may  offer  mortgage  insurance  on  a  “pool”  basis  in 

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the  future.  Under  pool  insurance,  the  mortgage  insurer 
provides  coverage  on  a  group  of  specified  loans, 
typically  for  100%  of  all  contractual  or  policy-defined 
losses on every loan in the portfolio, subject to an agreed 
aggregate loss limit. Pool insurance may be in a first loss 
position  with  respect  to  loans  that  do  not  have  primary 
mortgage  insurance  policies,  or  it  may  be  in  a  second 
loss position, covering losses in excess of those covered 
by the primary mortgage insurance policy. 

•

•

•

insurance 

insurance 

in  Europe  and  other 
Direct  mortgage 
countries  where  we  identify  profitable  underwriting 
opportunities.  Since  2011,  Arch  Insurance  (EU)  has 
offered  mortgage 
to  European  mortgage 
lenders.  Arch  Insurance  (EU)’s  mortgage  insurance  is 
primarily  purchased  by  European  mortgage  lenders  in 
order to reduce lenders’ credit risk and regulatory capital 
requirements  associated  with  the  insured  mortgages.  In 
certain  European  countries,  lenders  purchase  mortgage 
insurance to facilitate regulatory compliance with respect 
to high loan-to-value residential lending. Arch Insurance 
(EU) offers mortgage insurance on both a “flow” basis to 
structured 
cover  new  originations 
transactions 
to  cover  one  or  more  portfolios  of 
previously  originated  residential  loans.  In  Australia, 
Arch  LMI  provides    lenders’  mortgage  insurance  on  a 
direct basis.

through 

and 

Reinsurance.  Arch  Re  Bermuda  provides  quota  share 
reinsurance covering U.S. and international mortgages. 

insurance 

traditional  mortgage 

Other  credit  risk-sharing  products.  In  addition  to 
providing 
and 
reinsurance, we offer various credit risk-sharing products 
to government agencies and mortgage lenders. The GSEs 
have reduced their exposure to mortgage risk by shifting 
it to the private sector, creating opportunities for insurers 
to  assume  additional  mortgage  risk.  In  2013,  Arch  Re 
Bermuda  became  the  first  (re)insurance  company  to 
participate  in  Freddie  Mac’s  program  to  transfer  certain 
credit  risk  in  its  single-family  portfolio  to  the  private 
sector.  Since  that  time,  Arch  Re  Bermuda  and  its 
affiliates have regularly participated in both Fannie Mae 
and  Freddie  Mac  single  family  and  multifamily  risk 
sharing programs.

In  2015  we  established  Arch  Mortgage  Risk  Transfer  PCC 
Inc.  (“Arch  MRT”)  a  District  of  Columbia  based  protected 
cell  captive  insurer,  licensed  by  District  of  Columbia 
Department  of  Insurance,  Securities  and  Banking  as  a 
mortgage 
issues  direct  mortgage 
insurance  to  the  GSEs  through  incorporated  protected  cells 
and  cedes  100%  of  the  risk  to  GSE  approved  reinsurers, 
including  Arch  Re  U.S.  Arch  MRT  entered  into  pilot 
transactions  with  both  GSEs  in  2018  that  continued  through 
2020.

insurer.  Arch  MRT 

In 2019 we established Arch Credit Risk Services (Bermuda) 
(“ACRS”) Ltd. ACRS is licensed by the Bermuda Monetary 
Authority  (“BMA”)  as  an  insurance  agent  in  Bermuda. 
ACRS  offers  mortgage  credit  assessment  and  underwriting 
advisory services with respect to participation in GSE credit 
risk transfer transactions. 

Underwriting Philosophy. Our mortgage group believes in a 
disciplined,  analytical  approach  to  underwriting  mortgage 
risks  by  utilizing  proprietary  and  third  party  models, 
including  forecasting  delinquency  and  future  home  price 
movements  with  the  goal  of  ensuring  that  premiums  are 
adequate  for  the  risk  being  insured.  Experienced  actuaries 
and statistical modelers are engaged in analytics to inform the 
underwriting  process.  As  part  of  the  underwriting  process, 
our  mortgage  group  typically  assesses  a  variety  of  factors, 
including the:

•

•

•

•

•

•

ability and willingness of the mortgage borrower to pay 
its obligations under the mortgage loan being insured;

characteristics  of  the  mortgage  loan  being  insured  and 
the value of the collateral securing the mortgage loan;

financial strength, quality of operations and reputation of 
the lender originating the mortgage loan;

expected  future  home  price  movements  which  vary  by 
geography;

projections of future loss frequency and severity; and

adequacy of premium rates.

Sales  and  Distribution.  We  employ  a  sales  force  located 
throughout  the  U.S.  to  directly  sell  mortgage  insurance 
products  and  services  to  our  customers,  which  include 
mortgage  originators  such  as  mortgage  bankers,  mortgage 
brokers, commercial banks, savings institutions, credit unions 
and community banks. Our largest single mortgage insurance 
customer  (including  branches  and  affiliates)  accounted  for 
5.4%  and  4.0%  of  our  gross  premiums  written  for  the  years 
ending December 31, 2020 and 2019, respectively. No other 
customer  accounted  for  greater  than  3.2%  and  3.3%  of  the 
gross  premiums  written  for  the  years  ending  December  31, 
2020  and  2019,  respectively.  The  percentage  of  gross 
premiums  written  on  our  top  10  customers  was  22%  and 
20.8%  as  of  December  31,  2020  and  2019,  respectively.  In 
Europe,  Asia,  Bermuda  and  Australia,  our  products  and 
services  are/or  will  be  distributed  on  a  direct  basis  and 
through  brokers.  Each  country  represents  a  unique  set  of 
opportunities  and  challenges  that  require  knowledge  of 
market  conditions  and  client  needs  to  develop  effective 
solutions.

Risk  Management.  Exposure  to  mortgage  risk  is  monitored 
globally  and  managed  through  underwriting  guidelines, 

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pricing,  reinsurance,  utilization  of  proprietary  risk  models, 
concentration limits and limits on net probable loss resulting 
from a severe economic downturn in the housing market. For 
a  discussion  of  our 
risk  management  policies,  see 
“Management’s  Discussion  and  Analysis  of  Financial 
Condition  and  Results  of  Operations—Critical  Accounting 
Policies,  Estimates  and  Recent  Accounting  Pronouncements
—Ceded Reinsurance” and “Risk Factors—Risks Relating to 
Our  Industry,  Business  and  Operations—The  failure  of  any 
of  the  loss  limitation  methods  we  employ  could  have  a 
material adverse effect on our financial condition or results of 
operations.” 

Our mortgage group has ceded a portion of its premium on a 
quota share basis through certain reinsurance agreements and 
through  aggregate  excess  of  loss  reinsurance  agreements 
which  provide  reinsurance  coverage  for  delinquencies  on 
portfolios of in-force policies issued between certain periods. 
See  note  8,  “Reinsurance,”  to  our  consolidated  financial 
statements in Item 8 for further details.

Reinsurance arrangements do not relieve our mortgage group 
from  its  primary  obligations  to  insured  parties.  Reinsurance 
recoverables  are  recorded  as  assets,  predicated  on  the 
reinsurers’  ability  to  meet  their  obligations  under  the 
reinsurance agreements. If the reinsurers are unable to satisfy 
the  agreements,  our  mortgage 
their  obligations  under 
subsidiaries would be liable for such defaulted amounts. For 
our U.S. mortgage insurance business, in addition to utilizing 
reinsurance, we have developed a proprietary risk model that 
simulates the maximum loss resulting from severe economic 
events  impacting  the  housing  market.  See  “Management’s 
Discussion  and  Analysis  of  Financial  Condition  and  Results 
of  Operations—Catastrophic  Events  and  Severe  Economic 
Events.”

Claims  Management.  With  respect  to  our  direct  mortgage 
insurance business, the claims process generally begins with 
notification by the insured or servicer to us of a default on an 
insured loan. The insured is generally required to notify us of 
a default after the borrower misses two consecutive monthly 
payments.  Borrowers  default  for  a  variety  of  reasons, 
including  a  reduction  of  income,  unemployment,  divorce, 
illness,  inability  to  manage  credit,  rising  interest  rate  levels 
and  declining  home  prices.  Upon  notice  of  a  default,  in 
certain  cases  we  may  coordinate  with  loan  servicers  to 
facilitate  and  enhance  retention  workouts  on  insured  loans. 
loan 
Retention  workouts 
modifications  and  other  loan  repayment  options,  which  may 
enable  borrowers  to  cure  mortgage  defaults  and  retain 
ownership of their homes. If a retention workout is not viable 
for a borrower, our loss on a loan may be mitigated through a 
liquidation  workout  option,  including  a  pre-foreclosure  sale 
or a deed-in-lieu of foreclosure. 

include  payment  forbearance, 

In the U.S., our master policies generally provide that within 
60  days  of  the  perfection  of  a  primary  insurance  claim,  we 
have the option of: 

•

•

•

paying  the  insurance  coverage  percentage  specified  in 
the  certificate  of  insurance  multiplied  by  the  loss 
amount; 

in the event the property is sold pursuant to an approved 
prearranged  sale,  paying  the  lesser  of  (i)  100%  of  the 
loss amount less the proceeds of sale of the property, or 
(ii)  the  specified  coverage  percentage  multiplied  by  the 
loss amount; or 

paying  100%  of  the  loss  amount  in  exchange  for  the 
insured’s conveyance to us of good and marketable title 
to the property, with us then selling the property for our 
own account. 

While  we  select  the  claim  settlement  option  that  best 
mitigates  the  amount  of  our  claim  payment,  in  the  U.S.  we 
generally pay the coverage percentage multiplied by the loss 
amount. 

Other Operations

In  2014  we  and  HPS  Investment  Partners,  LLC  (formerly 
Highbridge  Principal  Strategies,  LLC)  (“HPS”),  sponsored 
the formation of Watford. Arch Re Bermuda invested $100.0 
million  in  Watford  common  equity  and,  as  of  February  16, 
2021,  Arch  Re  Bermuda  owned  approximately  10.3%  of 
Watford’s  common  equity.  We  also  own  $35.0  million  in 
aggregate principal amount of Watford Holdings Ltd’s 6.5% 
senior notes and approximately 6.6% of Watford’s preference 
shares.  Watford’s  strategy  is  to  combine  a  diversified 
insurance  business  with  a  disciplined 
reinsurance  and 
investment  strategy  comprised  primarily  of  non-investment 
grade credit assets. Watford’s own management and board of 
directors are responsible for its results and profitability. Arch 
Re Bermuda has appointed two directors to serve on the eight 
person  board  of  directors  of  Watford.  In  the  2020,  fourth 
quarter Arch Capital, Watford Holdings Ltd. and Greysbridge 
Ltd., a wholly-owned subsidiary of Arch Capital, entered into 
an Agreement and Plan of Merger (as amended, the “Merger 
Agreement”)  pursuant  to  which,  among  other  things,  Arch 
Capital  agreed  to  acquire  all  of  the  common  shares  of 
Watford  Holdings  Ltd.  not  owned  by  Arch  for  a  cash 
purchase price of $35.00 per common share. The transaction 
is  expected  to  close  in  the  first  half  of  2021,  subject  to 
customary  closing  conditions 
including  regulatory  and 
shareholder  approval.  Arch  Capital  has  assigned  its  rights 
under the Merger Agreement to Greysbridge Holdings Ltd., a 
wholly-owned  subsidiary  of  Arch  Capital  (“Greysbridge”). 
Upon  closing  of  the  transaction,  Watford  will  be  wholly 
owned by Greysbridge and Greysbridge will be owned 40% 
by  Arch  Re  Bermuda,  30%  by  certain  investment  funds 

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managed  by  Kelso  &  Company  and  30%  by  certain 
investment funds managed by Warburg Pincus LLC. See note 
12, “Variable Interest Entity and Noncontrolling Interests,” to 
our  consolidated  financial  statements  in  Item  8  for  further 
details.

In 2017 we and Kelso & Company (“Kelso”) sponsored the 
formation  of  Premia.  Premia’s  strategy  is  to  reinsure  or 
acquire  companies  or  reserve  portfolios  in  the  non-life 
property  and  casualty  insurance  and  reinsurance  run-off 
market.  Arch  Re  Bermuda  and  certain  Arch  co-investors 
invested  $100.0  million  and  acquired  approximately  25%  of 
Premia  as  well  as  warrants  to  purchase  additional  common 
equity.  Arch  Re  Bermuda  is  providing  a  25%  quota  share 
reinsurance treaty on certain business written by Premia, and 
subsidiaries  of  Arch  Capital  are  providing  certain 
administrative  and  support  services  to  Premia,  in  each  case 
pursuant 
to  separate  multi-year  agreements.  Arch  Re 
Bermuda  has  appointed  two  directors  to  serve  on  the  seven 
person  board  of  directors  of  Premia.  In  the  2019  fourth 
quarter, Barbican entered into certain reinsurance and related 
transactions with Premia pursuant to which Premia assumed 
a transfer of liability for the 2018 and prior years of account 
of  Barbican  as  of  July  1,  2019.  See  note  16,  “Transactions 
with  Related  Parties,” 
financial 
statements in Item 8 for further details.

to  our  consolidated 

HUMAN CAPITAL

We  have  a  results-driven  culture  which  relies  on  our 
dedicated,  engaged  and  talented  employees.  Our  business 
strategy  is  focused  on  delivering  specialty  products  and 
solutions to our customers in each of our operating segments, 
and  our  short-  and  long-term  success  depends  on  employee 
performance. Therefore, helping our people excel by creating 
a meaningful, challenging and fulfilling employee experience 
is of paramount importance. Through the global pandemic, a 
spirit of agility allowed us to transition virtually overnight to 
a  home-based  employee  population.  We  successfully  kept 
business  operations  up  and  running 
through  effective 
collaboration, communication and resilience. As of February 
15,  2021,  we  had  just  over  4,500  employees  globally, 
compared  to  4,300  last  year,  which  directly  speaks  to  our 
ability to grow and retain our talent in spite of the challenges 
we  all  faced  with  the  pandemic.  We  have  approximately 
2,970  employees  in  North  America  (U.S.,  Canada  and 
Bermuda),  810  employees  in  Europe  and  the  U.K.  and  730 
employees in the Philippines and the rest of the world. 

Our  People  and  Culture.  With  colleagues  in  over  15 
countries,  we  are  driven  by  our  common  purpose  of 
“Enabling  Possibility”  for  our  customers,  our  communities 
and  our  fellow  employees.  Our  values  of  embracing 
teamwork,  working  hard  and  smart,  continually  pursuing 
innovation  and  improvement,  striving  to  make  a  difference, 

and exhibiting honesty and integrity in all that we do unite us 
in  our  unrelenting  focus  on  providing  service  and  solutions 
that  make  us  a  trusted  and  valued  business  partner.  We  use 
clearly  defined  policy  and  procedural  supports  such  as  our 
Code  of  Business  Conduct  and  Compliance  and  Ethics 
training  programs  to  ensure  that  we  are  unwavering  in  our 
attention to living our values.

A  key  aspect  in  top  performance  is  enhancing  our  overall 
diversity while ensuring that we behave inclusively. By better 
reflecting  the  demographics  in  the  markets  in  which  we 
operate and embracing a culture of inclusion, we can leverage 
all  of  the  best  contributions  and  thinking  across  our 
Company.  We  are  committed  to  positively  impacting  our 
employees and culture by integrating diversity and inclusion 
principles  in  our  operations.  In  2020,  we  launched  six 
employee  networks 
to  offer  employees  from  various 
demographic  backgrounds  a  forum  to  share  ideas,  build  a 
sense of community and give voice to topics of interest and 
contribute meaningfully to business outcomes. 

Talent  Acquisition,  Development,  Rewards  and  Retention. 
Our  employees  are  our  greatest  asset,  and  we  maintain  a 
sharp  focus  on  continuously  improving  the  ways  we  attract, 
develop  and  retain  our  high-performing  talent.  We  provide 
unique career growth opportunities through a combination of 
on-the-job experiences, exposure to top-notch colleagues and 
education  and  training  programs  designed  to  accelerate 
learning  and  applying  new  skills  and  behaviors.  We  offer 
competitive  compensation  and  comprehensive  benefits 
packages,  including  an  employee  share  purchase  plan, 
parental  leave,  generous  contributions  to  retirement  savings 
plans  and  corporate  discounts  and  programs  to  support 
employee mental and physical well-being. Our Arch Achieve 
program  has  recognized  over  360  employees  for  excellence 
since  its  inception  in  2009,  with  each  recipient  of  this 
distinction  receiving  shares  of  our  common  stock  as 
recognition of their accomplishments.

We  also  encourage  employees  to  continue  their  educational 
and  professional  development  through  student  loan  payback 
assistance  and  tuition  reimbursement  plans.  To  attract  the 
best talent to our industry, we also offer internship programs 
and  an  Early  Career  Program  with  an  Underwriting  Track 
which  provides  participants  with  a  robust  introduction  and 
real  technical  skills  to  build  a  successful  career  at  Arch.  In 
addition, we have targeted programs to attract talent that will 
diversify  our  workforce.  Experienced  professionals  at  Arch 
may  participate  in  manager  and  leadership  development 
programs  and, 
insurance  segment 
employees,  we  offer  the  opportunity  to  seek  a  Mortgage 
Bankers Association Certified Banker designation. 

for  our  mortgage 

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RESERVES

RATINGS

statistical 

recognized 

internationally 

Our  ability  to  underwrite  business  is  affected  by  the  quality 
of our claims paying ability and financial strength ratings as 
evaluated  by  independent  agencies.  Such  ratings  from  third 
party 
rating 
organizations or agencies are instrumental in establishing the 
financial  security  of  companies  in  our  industry.  We  believe 
that the primary users of such ratings include commercial and 
investment  banks,  policyholders,  brokers,  ceding  companies 
and  investors.  Insurance  ratings  are  also  used  by  insurance 
and  reinsurance  intermediaries  as  an  important  means  of 
assessing  the  financial  strength  and  quality  of  insurers  and 
reinsurers,  and  are  often  an  important  factor  in  the  decision 
by  an  insured  or  intermediary  of  whether  to  place  business 
with a particular insurance or reinsurance provider. 

The financial strength ratings of our operating insurance and 
reinsurance  subsidiaries  are  subject  to  periodic  review  as 
rating  agencies  evaluate  us  to  confirm  that  we  continue  to 
meet their criteria for ratings they have assigned to us. Such 
ratings  may  be  revised  or  revoked  at  the  discretion  of  such 
ratings agencies in response to a variety of factors, including 
capital 
forms  of 
capitalization  and  risk  profile.  A.M.  Best  Company  (“A.M. 
Best”),  Fitch  Ratings  (“Fitch”),  Moody’s  Investors  Service 
(“Moody’s”)  and  Standard  &  Poor’s  (“S&P”)  are  ratings 
agencies which have assigned financial strength and/or issuer 
ratings to Arch Capital and/or one or more of its subsidiaries. 

adequacy,  management, 

earnings, 

The  ratings  issued  on  our  companies  by  these  agencies  are 
announced  publicly  and  are  available  directly  from  the 
agencies.  Our  website  (www.archcapgroup.com  (Investor 
Relations-Credit  Ratings)  contains  information  about  our 
is  not 
ratings,  but  such 
incorporated by reference into this report. 

information  on  our  website 

Reserves  for  losses  and  loss  adjustment  expenses  (“Loss 
Reserves”)  represent  estimates  of  what  the  insurer  or 
reinsurer ultimately expects to pay on claims at a given time, 
based  on  facts  and  circumstances  then  known,  and  it  is 
probable that the ultimate liability may exceed or be less than 
such  estimates.  Even  actuarially  sound  methods  can  lead  to 
subsequent  adjustments  to  reserves  that  are  both  significant 
and  irregular  due  to  the  nature  of  the  risks  written.  Loss 
Reserves are inherently subject to uncertainty. 

For  detail  on  our  Loss  Reserves  by  segment  and  potential 
variability  in  the  reserving  process,  see  the  Loss  Reserves 
section  of  “Critical  Accounting  Policies,  Estimates  and 
Recent  Accounting  Pronouncements”  in  Item  7.  For  an 
analysis  of  losses  and  loss  adjustment  expenses  and  a 
reconciliation of the beginning and ending Loss Reserves and 
information about prior year reserve development, see note 5, 
“Reserve for Losses and Loss Adjustment Expenses,” to our 
consolidated  financial  statements  in  Item  8.  For  information 
on  our  reserving  process,  see  note  6,  “Short  Duration 
Contracts,” to our consolidated financial statements in Item 8.

Unpaid  and  paid  losses  and  loss  adjustment  expenses 
recoverable were approximately $4.5 billion at December 31, 
2020.  For  detail  on  our  unpaid  and  paid  losses  and  loss 
adjustment  expenses,  see  the  Reinsurance  Recoverables 
section  of  “Financial  Condition,  Reinsurance  Recoverables” 
in Item 7. 

INVESTMENTS

At  December  31,  2020,  total  investable  assets  held  by  Arch 
were $26.9 billion, excluding the $2.7 billion included in the 
‘other’  segment  (i.e.,  attributable  to  Watford).  Our  current 
investment  guidelines  and  approach  stress  preservation  of 
capital,  market  liquidity  and  diversification  of  risk.  Our 
investments are subject to market-wide risks and fluctuations, 
as  well  as  to  risks  inherent  in  particular  securities.  While 
maintaining  our  emphasis  on  preservation  of  capital  and 
liquidity, we expect our portfolio to become more diversified 
and, as a result, we may in the future expand into areas which 
are not part of our current investment strategy. For detail on 
our  investments,  see  the  Investable  Assets  Held  by  Arch 
section  of  “Financial  Condition”  in  Item  7  and  note  9, 
“Investment  Information,”  to  our  consolidated  financial 
statements in Item 8. 

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COMPETITION

The  worldwide  reinsurance  and  insurance  businesses  are 
highly  competitive.  We  compete,  and  will  continue  to 
compete,  with  major  U.S.  and  non-U.S.  insurers  and 
reinsurers,  some  of  which  have  greater  financial,  marketing 
and  management  resources  than  we  have  and  longer-term 
relationships  with  insureds  and  brokers  than  we  have  had. 
We  compete  with  other  insurers  and  reinsurers  primarily  on 
the  basis  of  overall  financial  strength,  ratings  assigned  by 
independent  rating  agencies,  geographic  scope  of  business, 
strength  of  client  relationships,  premiums  charged,  contract 
terms and conditions, products and services offered, speed of 
claims  payment,  reputation,  employee  experience,  and 
qualifications  and  local  presence.  See  “Risk  Factors—Risks 
Relating  to  Our  Industry,  Business  and  Operations—“We 
operate in a highly competitive environment, and we may not 
be able to compete successfully in our industry.”

insurance  and 

In  our  property  casualty 
reinsurance 
businesses,  we  compete  with  insurers  and  reinsurers  that 
provide  specialty  property  and  casualty  lines  of  insurance, 
including Alleghany Corporation, American Financial Group, 
Inc.,  American  International  Group,  Inc.,  AXA  XL,  AXIS 
Capital  Holdings  Limited,  Berkshire  Hathaway,  Inc.,  Chubb 
Limited,  CNA  Financial  Corp.,  Everest  Re  Group  Ltd., 
Fairfax Financial Holdings Limited, Hannover Rück SE, The 
Hartford  Financial  Services  Group,  Inc.,  Liberty  Mutual 
Group,  Lloyd’s,  Markel  Corporation,  Munich  Re  Group, 
PartnerRe  Ltd.,  RenaissanceRe  Holdings  Ltd.,  RLI  Corp., 
SCOR,  Sompo  International,  Swiss  Reinsurance  Company, 
Tokio  Marine  HCC,  The  Travelers  Companies,  Inc.,  W.R. 
Berkley Corp. and Zurich Insurance Group.

include 

insurers,  which 

In our U.S. mortgage business, we compete with five active 
the  mortgage 
U.S.  mortgage 
insurance  subsidiaries  of  Essent  Group  Ltd.,  Genworth 
Financial Inc., MGIC Investment Corporation, NMI Holdings 
Inc.  and  Radian  Group  Inc.  The  private  mortgage  insurance 
industry  is  highly  competitive.  Private  mortgage  insurers 
generally  compete  on  the  basis  of  underwriting  guidelines, 
pricing, terms and conditions, financial strength, product and 
service  offerings,  customer  relationships,  reputation,  the 
strength  of  management,  technology,  and  innovation  in  the 
delivery  and  servicing  of  insurance  products.  Arch  MI  U.S. 
and other private mortgage insurers compete with federal and 
state  government  agencies  that  sponsor  their  own  mortgage 
insurance programs. The private mortgage insurers’ principal 
government 
Federal  Housing 
is 
Administration  (“FHA”)  and,  to  a  lesser  degree,  the  U.S. 
Department  of  Veterans  Affairs  (“VA”).  Future  changes  to 
the  FHA  program,  including  any  reduction  to  premiums 
charged  may  impact  the  demand  for  private  mortgage 
insurance.

competitor 

the 

Arch  MI  U.S.  and  other  private  mortgage 
insurers 
increasingly  compete  with  multi-line  reinsurers  and  capital 
markets alternatives to private mortgage insurance. The GSEs 
continued  their  respective  mortgage  credit  risk  transfer 
(“CRT”)  programs  including  the  use  of  front  and  back-end 
transactions  with  multiline  reinsurers.  These  transactions 
continue  to  create  opportunities  for  multiline  property 
casualty reinsurance groups and capital markets participants. 

For  other  U.S.  risk  sharing  products  and  non-U.S.  mortgage 
increased 
insurance  opportunities,  we  have  also  seen 
competition from well capitalized and highly rated multiline 
reinsurers. It is our expectation that the depth and capacity of 
competitors from this segment will continue to increase over 
the next several years as more residential mortgage credit risk 
is borne by private capital.

ENTERPRISE RISK MANAGEMENT

General.  Enterprise  Risk  Management  (“ERM”)  is  a  key 
element in our philosophy, strategy and culture. We employ 
an  ERM  framework  that  includes  underwriting,  reserving, 
investment,  credit  and  operational  risks.  Risk  appetite  and 
exposure  limits  are  set  by  our  executive  management  team, 
reviewed  with  the  Board  and  its  committees  and  routinely 
discussed  with  business  unit  management.  These  limits  are 
articulated  in  our  risk  appetite  statement,  which  details  risk 
appetite,  tolerances  and  limits  for  each  major  risk  category, 
and  are  integrated  into  our  operating  guidelines.  Exposures 
are  aggregated  and  monitored  periodically  by  our  corporate 
risk management team. The reporting, review and approval of 
risk  management  information  is  integrated  into  our  annual 
planning  process, 
allocation, 
reinsurance  purchasing  strategy  and  reviewed  at  insurance 
business  reviews,  reinsurance  underwriting  meetings  and 
board level committees.

capital  modeling 

and 

Risk  Management  Process  and  Procedures.  The  following 
narrative  provides  an  overview  of  our  risk  management 
framework and our methodology for identifying, measuring, 
managing  and  reporting  on  the  key  risks  affecting  us.  It 
outlines  our  approach  to  risk  identification  and  assessment 
and  provides  an  overview  of  our  risk  appetite  and  tolerance 
the  following  major  risks:  underwriting 
for  each  of 
(insurance) risk including pricing, reserving and catastrophe; 
investment  including  market  and  liquidity  risks;  strategic 
risk; group risk including governance and capital market risk; 
including  regulatory, 
credit  risk;  and  operational  risk, 
investor  relations  (reputational  risk),  rating  agency  and 
outsourcing risks.

The  framework  includes  details  of  our  risk  philosophy  and 
policies  to  address  the  material  risks  confronting  us;  and 
compliance,  approach  and  procedures  to  control  and  or 
mitigate these risks. The actions and policies implemented to 

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meet  our  business  management  and  regulatory  obligations 
form the core of this framework. We have adopted a holistic 
approach  to  risk  management  by  analyzing  risk  from  both  a 
top-down and bottom-up perspective.

Risk Identification and Assessment. The Finance, Investment 
and  Risk  Committee  (“FIR  Committee”),  Audit  Committee 
and Underwriting Oversight Committee of the Board oversee 
the  top-down  and  bottom-up  review  of  our  risks.  Given  the 
nature and scale of our operations, these committees consider 
all aforementioned risks within the scope of the assessment. 
Arch  Capital’s  Chief  Risk  Officer  (“CRO”)  assists  these 
committees  in  the  identification  and  assessment  of  all  key 
risks. The CRO is responsible for maintaining Arch Capital’s 
risk  register  and  continually  reviewing  and  challenging  risk 
assessments,  including  the  impact  of  emerging  risks  and 
significant  business  developments.  Board  approval 
is 
required for any new high level risks or change in inherent or 
residual designations.

Risk  Monitoring  and  Control.  Arch  Capital’s 
risk 
management framework requires risk owners to monitor key 
risks  on  a  continuous  basis.  The  highest  residual  risks  are 
actively managed by the FIR Committee. The remaining risks 
are  managed  and  monitored  at  a  process  level  by  the  risk 
owners  and/or 
the  CRO.  Risk  owners  have  ultimate 
responsibility  for  the  day-to-day  management  of  each 
designated  risk,  reporting  to  the  CRO  on  the  satisfactory 
management and control of the risk and timely escalation of 
significant  issues  that  may  arise  in  relation  to  that  risk.  The 
CRO is responsible for overseeing the monitoring of all risks 
across  the  business  and  for  communicating  to  the  relevant 
risk owners if she becomes aware of issues, or potential and 
actual breaches of risk appetite, relevant to the assigned risks. 
A key element of these monitoring activities is the evaluation 
of our position relative to risk tolerances and limits approved 
by the Board.

Risk  Reporting.  Quarterly,  the  CRO  compiles  the  results  of 
the  key  risk  review  process  into  a  report  to  the  FIR 
Committee  for  review  and  discussion  at  their  quarterly 
meeting.  The  report  includes  an  overview  of  selected  key 
risks; a risk dashboard that depicts the status of risk limit and 
tolerance metrics; changes in the rating of high level risks in 
the  Arch  Capital  risk  register;  and  summaries  of  our  largest 
exposures  and  reinsurance  recoverables.  If  necessary,  risk 
management matters reviewed at the FIR Committee meeting 
are  presented  for  discussion  by  the  Board.  The  CRO  is 
responsible  for  immediately  escalating  any  significant  risk 
matters to executive management, the FIR Committee and/or 
the Board for approval of the required remediation. As part of 
our  corporate  governance,  the  Board  and  certain  of  its 
committees hold regular executive sessions with members of 
our management team. These sessions are intended to ensure 
an open and frank dialogue exists about various forms of risk 
across the organization.

Integration.  We  believe 

Implementation  and 
that  an 
integrated  approach  to  developing,  measuring  and  reporting 
our  Own  Risk  and  Solvency  Assessment  (“ORSA”)  is  an 
integral part of the risk management framework. The ORSA 
process provides the link between Arch Capital’s risk profile, 
its  board-approved  risk  appetite  including  approved  risk 
tolerances  and  limits,  its  business  strategy  and  its  overall 
solvency  requirements.  The  ORSA  is  the  entirety  of  the 
processes  and  procedures  employed  to  identify,  assess, 
monitor,  manage,  and  report  the  short-  and  long-term  risks 
we face or may face and to determine the capital necessary to 
ensure  that  our  overall  solvency  needs  are  met  at  all  times. 
The  ORSA  also  makes  the  link  between  actual  reported 
results and the capital assessment.

The ORSA is the basis for risk reporting to the Board and its 
committees  and  acts  as  a  mechanism  to  embed  the  risk 
management 
framework  within  our  decision  making 
processes  and  operations.  The  Board  has  delegated 
responsibility  for  supervision  and  oversight  of  the  ORSA  to 
the  FIR  Committee.  This  oversight  includes  regular  reviews 
of  the  ORSA  process  and  output.  An  ORSA  report  is 
produced at least annually and the results of each assessment 
are reported to the Board. The Board actively participates in 
the  ORSA  process  by  steering  how  the  assessment  is 
performed and challenging its results. This assessment is also 
taken into account when formulating strategic decisions.

The  ORSA  process  and  reporting  are  integral  parts  of  our 
business  strategy, 
into  our 
tailored  specifically 
organizational  structure  and  risk  management  system  with 
the  appropriate  techniques  in  place  to  assess  our  overall 
solvency  needs,  taking  into  consideration  the  nature,  scale 
and complexity of the risks inherent in the business.

to  fit 

business 

including 

We  also  take  the  results  of  the  ORSA  into  account  for  our 
capital 
system  of  governance, 
management, 
product 
development.  The  results  of  the  ORSA  also  contributes  to 
various  strategic  decision-making  including  how  best  to 
optimize  capital  management,  establishing 
the  most 
appropriate premium levels and deciding whether to retain or 
transfer risks. 

long-term 
new 

planning 

and 

For  further  discussion  of  our  risk  management  policies,  see 
the  Ceded  Reinsurance  section  of  “Critical  Accounting 
Policies, Estimates and Recent Accounting Pronouncements” 
in Item 7.

REGULATION

General

Our  insurance  and  reinsurance  subsidiaries  are  subject  to 
varying degrees of regulation and supervision in the various 
jurisdictions  in  which  they  operate.  We  are  subject  to 

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extensive  regulation  under  applicable  statutes  in  these 
countries  and  any  other  jurisdictions  in  which  we  operate. 
The current material regulations under which we operate are 
described  below.  We  may  become  subject  in  the  future  to 
regulation in new jurisdictions or to additional regulations in 
existing jurisdictions.

Bermuda

General. Our Bermuda insurance operating subsidiary, Arch 
Re Bermuda, is a Class 4 general business insurer and a Class 
C long-term insurer, and is subject to the Insurance Act 1978 
of Bermuda and related regulations, as amended (“Insurance 
Act”).  Among  other  matters,  the  Insurance  Act  imposes 
liquidity  standards,  auditing  and 
certain  solvency  and 
reporting  requirements,  the  submission  of  certain  period 
examinations of its financial conditions and grants the BMA 
powers  to  supervise,  investigate,  require  information  and 
demand  the  production  of  documents  and  intervene  in  the 
affairs  of  insurance  companies.  Significant  requirements 
include  the  appointment  of  an  independent  auditor,  the 
appointment of a loss reserve specialist, the appointment of a 
principal  representative  in  Bermuda,  the  filing  of  annual 
Statutory  Financial  Returns,  the  filing  of  annual  financial 
statements  in  accordance  with  U.S.  generally  accepted 
accounting  principles  (“GAAP”),  the  filing  of  an  annual 
capital  and  solvency  return,  compliance  with  minimum  and 
enhanced  capital  requirements,  compliance  with  certain 
restrictions  on  reductions  of  capital  and  the  payment  of 
dividends and distributions, compliance with group solvency 
and supervision rules, if applicable, and compliance with the 
Insurance Code of Conduct (relating to corporate governance, 
risk management and internal controls). 

Arch  Re  Bermuda  must  also  comply  with  a  minimum 
liquidity ratio and minimum solvency margin in respect of its 
general  business.  The  minimum  liquidity  ratio  requires  that 
the value of relevant assets must not be less than 75% of the 
amount  of  relevant  liabilities.  The  minimum  solvency 
margin, which varies depending on the class of the insurer, is 
determined  as  a  percentage  of  either  net  reserves  for  losses 
and  loss  adjustment  expenses  (“LAE”)  or  premiums  or 
pursuant to a risk-based capital measure. Arch Re Bermuda is 
also  subject  to  an  enhanced  capital  requirement  (“ECR”) 
which  is  established  by  reference  to  either  the  Bermuda 
Solvency  Capital  Requirement  model  (“BSCR”)  or  an 
approved internal capital model. The BSCR model is a risk-
based capital model which provides a method for determining 
an  insurer’s  capital  requirements  (statutory  capital  and 
surplus)  by  taking  into  account  the  risk  characteristics  of 
different  aspects  of  the  insurer’s  business.  The  BMA  has 
established  a  target  capital  level  for  each  Class  4  insurer 
equal  to  120%  of  its  ECR.  While  a  Class  4  insurer  is  not 
currently 
its  available  statutory 
economic  capital  and  surplus  at  this  level,  the  target  capital 
level serves as an early warning tool for the BMA, and failure 

to  maintain 

required 

to maintain statutory capital at least equal to the target capital 
level will likely result in increased regulatory oversight. As a 
Class  C  insurer,  Arch  Re  Bermuda  is  also  required  to 
maintain  available  statutory  economic  capital  and  surplus  in 
respect  of  its  long-term  business  at  a  level  equal  to  or  in 
excess of its long-term enhanced capital requirement which is 
established by reference to either the Class C BSCR model or 
an approved internal capital model.

Arch Re Bermuda is prohibited from declaring or paying any 
dividends  during  any  financial  year  if  it  is  in  breach  of  its 
general  business  or  long-term  business  enhanced  capital 
requirements,  minimum  solvency  margins  or  its  general 
business  minimum  liquidity  ratio  or  if  the  declaration  or 
payment  of  such  dividends  would  cause  such  a  breach.  If  it 
has  failed  to  meet  its  minimum  solvency  margins  or 
minimum liquidity ratio on the last day of any financial year, 
Arch Re Bermuda will be prohibited, without the approval of 
the BMA, from declaring or paying any dividends during the 
next  financial  year.  In  addition,  Arch  Re  Bermuda  is 
prohibited  from  declaring  or  paying  in  any  financial  year 
dividends of more than 25% of its total statutory capital and 
surplus  (as  shown  on  its  previous  financial  year’s  statutory 
balance  sheet)  unless  it  files  (at  least  seven  days  before 
payment  of  such  dividends)  with  the  BMA  an  affidavit 
stating  that  it  will  continue  to  meet  the  required  margins. 
Without  the  approval  of  the  BMA,  Arch  Re  Bermuda  is 
prohibited  from  reducing  by  15%  or  more  its  total  statutory 
capital  as  set  out  in  its  previous  year’s  financial  statements 
and  any  application  for  such  approval  must  include  an 
affidavit  stating  that  it  will  continue  to  meet  the  required 
margins.  Without  the  approval  of  the  BMA,  Arch  Re 
Bermuda  is  prohibited  from  reducing  by  15%  or  more  its 
total statutory capital as set out in its previous year’s financial 
statements  and  any  application  for  such  approval  must 
include  an  affidavit  stating  that  it  will  continue  to  meet  the 
required margins. Where such an affidavit is filed, it shall be 
available  for  public  inspection  at  the  offices  of  the  BMA. 
Under  the  Bermuda  Companies  Act  of  1981,  as  amended, 
Arch  Re  Bermuda  may  declare  or  pay  a  dividend  out  of 
distributable  reserves  only  if  it  has  reasonable  grounds  for 
believing that it is, or would after the payment be, able to pay 
its liabilities as they become due and if the realizable value of 
its  assets  would  thereby  not  be  less  than  its  liabilities.  The 
Insurance  Amendment  (No.  2)  Act  2018  amended  the 
Insurance  Act 
the  prior  payment  of 
policyholders’ liabilities ahead of general unsecured creditors 
in  the  event  of  the  liquidation  or  winding  up  of  an  insurer. 
The  amendments  provide  inter  alia  that,  subject  to  certain 
statutorily  preferred  debts,  the  insurance  debts  of  an  insurer 
must  be  paid  in  priority  to  all  other  unsecured  debts  of  the 
insurer.  Insurance  debt  is  defined  as  a  debt  to  which  an 
insurer  is  or  may  become  liable  pursuant  to  an  insurance 
contract  excluding  debts  owed  to  an  insurer  under  an 
insurance contract where the insurer is the person insured.

to  provide  for 

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Group Supervision. The BMA acts as group supervisor of our 
group of insurance and reinsurance companies (“Group”) and 
has  designated  Arch  Re  Bermuda  as  the  designated  insurer 
(“Designated  Insurer”).  As  our  Group  supervisor,  the  BMA 
performs  a  number  of  functions  including:  (i)  coordinating 
the  gathering  and  dissemination  of  relevant  or  essential 
information  for  going  concerns  and  emergency  situations, 
including  the  dissemination  of  information  which  is  of 
importance  for  the  supervisory  task  of  other  competent 
authorities;  (ii)  carrying  out  supervisory  reviews  and 
assessments  of  our  Group;  (iii)  carrying  out  assessments  of 
our  Group's  compliance  with  the  rules  on  solvency,  risk 
concentration, intra-group transactions and good governance 
procedures;  (iv)  planning  and  coordinating  through  regular 
meetings  held  at  least  annually  (or  by  other  appropriate 
means)  with  other  competent  authorities,  supervisory 
activities  in  respect  of  our  Group;  both  as  a  going  concern 
and 
(v)  coordinating  any 
enforcement  action  that  may  need  to  be  taken  against  our 
Group  or  any  Group  members;  and  (vi)  planning  and 
coordinating  meetings  of  colleges  of  supervisors  in  order  to 
facilitate  the  carrying  out  of  these  functions.  As  Designated 
Insurer, Arch Re Bermuda is required to facilitate compliance 
by  our  Group  with  the  group  insurance  solvency  and 
supervision rules.

in  emergency 

situations 

On  an  annual  basis,  the  Group  is  required  to  file  Group 
statutory  financial  statements,  a  Group  statutory  financial 
return,  a  Group  capital  and  solvency  return,  audited  Group 
financial  statements,  a  Group  Solvency  Self-Assessment 
(“GSSA”),  and  a  financial  condition  report  with  the  BMA. 
The  GSSA  is  designed  to  document  our  perspective  on  the 
capital resources necessary to achieve our business strategies 
and remain solvent, and to provide the BMA with insights on 
our 
and 
risk  management,  governance  procedures 
documentation  related  to  this  process.  In  addition,  the 
Designated  Insurer  is  required  to  file  quarterly  group 
financial  returns  with  the  BMA.  The  Group  is  also  required 
to  maintain  available  Group  statutory  economic  capital  and 
surplus  in  an  amount  that  is  at  least  equal  to  the  group 
enhanced  capital  requirement  (“Group  ECR”)  and  the  BMA 
has established a group target capital level equal to 120% of 
the Group ECR.

The  BMA  maintains  supervision  over  the  controllers  of  all 
Bermuda  registered  insurers,  and  accordingly,  any  person 
who, directly or indirectly, becomes a holder of at least 10%, 
20%,  33%  or  50%  of  our  ordinary  shares  must  notify  the 
BMA  in  writing  within  45  days  of  becoming  such  a  holder 
(or  ceasing  to  be  such  a  holder).  The  BMA  may  object  to 
such a person and require the holder to reduce its holding of 
ordinary  shares  and  direct,  among  other  things,  that  voting 
rights  attaching 
the  ordinary  shares  shall  not  be 
exercisable.

to 

to  address  concerns  relating 

Economic  Substance  Act.  During  2017,  the  EU’s  Economic 
and  Financial  Affairs  Council  released  a  list  of  non-
cooperative jurisdictions for tax purposes. The stated purpose 
of  this  list,  and  accompanying  report,  was  to  promote  good 
governance  worldwide  in  order  to  maximize  efforts  to 
prevent  tax  fraud  and  tax  evasion.  Bermuda  was  not  on  the 
list  of  non-cooperative  jurisdictions,  but  was  referenced  in 
the  report  (along  with  approximately  40  other  jurisdictions) 
as  having  committed 
to 
economic  substance  by  December  31,  2018.  In  accordance 
with  that  commitment,  Bermuda  enacted  the  Economic 
Substance Act 2018 (as amended) of Bermuda and its related 
regulations  (together,  the  “ES  Act”).  The  ES  Act  came  into 
force on January 1, 2019, and provides that a registered entity 
other  than  an  entity  which  is  resident  for  tax  purposes  in 
certain jurisdictions outside Bermuda (“non-resident entity”) 
that carries on as a business any one or more of the “relevant 
activities”  referred  to  in  the  ES  Act  must  comply  with 
economic  substance  requirements.  The  list  of  “relevant 
activities”  includes  carrying  on  any  one  or  more  of  the 
following  activities:  banking,  insurance,  fund  management, 
financing,  leasing,  headquarters,  shipping,  distribution  and 
service  center,  intellectual  property  and  holding  entities. 
Under  the  ES  Act,  if  a  company  is  engaged  in  one  or  more 
“relevant  activities”,  it  is  required  to  maintain  a  substantial 
economic  presence  in  Bermuda  and  to  comply  with  the 
economic substance requirements set forth in the ES Act. A 
company  will  comply  with 
those  economic  substance 
requirements  if  it:  (a)  is  managed  and  directed  in  Bermuda; 
(b) undertakes “core income generating activities” (as may be 
prescribed  under  the  ES  Act)  in  Bermuda  in  respect  of  the 
relevant activity; (c) maintains adequate physical presence in 
Bermuda;  (d)  has  adequate  full  time  employees  in  Bermuda 
with suitable qualifications; and (e) incurs adequate operating 
expenditure  in  Bermuda  in  relation  to  the  relevant  activity 
undertaken by it.

if 

they  comply  with 

Companies  that  are  licensed  to  and  carry  on  insurance  as  a 
relevant  activity  are  generally  considered  to  operate  in 
Bermuda  with  adequate  substance,  with  respect  to  their 
insurance  business, 
the  existing 
provisions  of  (a)  the  Companies  Act  1981  relating  to 
corporate  governance;  and  (b)  the  Insurance  Act  1978,  that 
are  applicable  to  the  economic  substance  requirements,  and 
the Registrar will have regard to such companies’ compliance 
with the Insurance Act 1978 (in addition to compliance with 
the  Companies  Act  1981)  in  his  assessment  of  compliance 
with  the  economic  substance  requirements.  That  being  said, 
such  companies  are  still  required  to  complete  and  file  a 
Declaration Form, with the Bermuda Registrar of Companies 
and  the  Registrar  will  also  have  regard  to  the  information 
provided in that Declaration Form in making his assessment 
of compliance with the ES Act.

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United States

and 

than 

rather 

supervision 

is  designed 

investors.  Generally, 

General. Our U.S. based insurance operating subsidiaries are 
subject to extensive governmental regulation and supervision 
by  the  states  and  jurisdictions  in  which  they  are  domiciled, 
licensed and/or approved to conduct business. The insurance 
laws  and  regulations  of  the  state  of  domicile  have  the  most 
significant  impact  on  operations.  We  currently  have  U.S. 
insurance  and/or  reinsurance  subsidiaries  domiciled 
in 
Delaware, North Carolina, Missouri, Wisconsin, Kansas and 
the  District  of  Columbia  and  we  may  acquire  insurers 
domiciled  in  other  states  in  the  future.  State  insurance 
to  protect 
regulation 
policyholders 
state 
regulatory  authorities  have  broad  regulatory  powers  over 
such  matters  as  licenses,  standards  of  solvency,  premium 
rates,  policy  forms,  marketing  practices,  claims  practices, 
investments,  methods  of  accounting,  form  and  content  of 
financial  statements,  certain  aspects  of  governance,  ERM, 
amounts  we  are  required  to  hold  as  reserves  for  future 
payments, minimum capital and surplus requirements, annual 
and other report filings and transactions among affiliates. Our 
U.S. based subsidiaries are required to file detailed quarterly 
and  audited  annual  statutory  financial  statements  with  state 
insurance  regulators.  In  addition,  regulatory  authorities 
conduct  periodic  financial,  claims  and  market  conduct 
examinations.  Certain  insurance  regulatory  requirements  are 
highlighted  below.  In  addition  to  regulation  applicable 
generally  to  U.S.  insurance  and  reinsurance  companies,  our 
U.S.  mortgage  insurance  operations  are  affected  by  federal 
and  state  regulation  relating  to  mortgage  insurers,  mortgage 
lenders, and the origination, purchase and sale of residential 
mortgages.  Arch  Insurance  (U.K.)  is  also  subject  to  certain 
governmental  regulation  and  supervision  in  the  states  where 
it writes excess and surplus lines insurance.

Holding  Company  Regulation.  All  states  have  enacted 
legislation that regulates insurance holding company systems. 
These  regulations  generally  provide  that  each  insurance 
company  in  the  system  is  required  to  register  with  the 
insurance  department  of  its  state  of  domicile  and  furnish 
information  concerning  the  operations  of  companies  within 
the holding company system which may materially affect the 
operations, management or financial condition of the insurers 
within the system. Notice to the state insurance departments 
is  required  prior  to  the  consummation  of  certain  material 
transactions between an insurer and any entity in its holding 
company  system  and  certain  transactions  may  not  be 
consummated  without  the  applicable  insurance  department’s 
prior approval or non-disapproval after receiving notice. The 
holding company acts also prohibit any person from directly 
or  indirectly  acquiring  control  of  a  U.S.  insurance  or 
reinsurance  company  unless 
that  person  has  filed  an 
application  with  specified  information  with  such  company’s 
domiciliary 
the 
commissioner’s  prior  approval.  Under  most  states’  statutes 

commissioner 

obtained 

and 

has 

acquiring  10%  or  more  of  the  voting  securities  of  an 
insurance  company  or  its  parent  company  is  presumptively 
considered  an  acquisition  of  control  of  the  insurance 
company, although such presumption may be rebutted. 

State  holding  company  acts  and  regulations  also  impose 
extensive  informational  requirements  on  parents  and  other 
affiliates  of  licensed  insurers  or  reinsurers  with  the  purpose 
of  protecting  them  from  enterprise  risk,  including  requiring 
an  annual  enterprise  risk  report  by  the  ultimate  controlling 
person  identifying  the  material  risks  within  the  insurance 
holding company system that could pose enterprise risk to the 
licensed  companies  and  requiring  a  person  divesting  its 
controlling  interest  to  make  a  confidential  advance  notice 
filing.

In  December  2020,  the  National  Association  of  Insurance 
Commissioners (“NAIC”) adopted amendments to the NAIC 
Insurance  Holding  Company  System  Model  Act  and  Model 
Regulation  that,  when  adopted  by  states,  will  require  the 
ultimate controlling person of an insurance holding company 
system to file an annual group capital calculation, unless the 
ultimate controlling person or its insurance holding company 
system  is  exempt  from  the  filing  requirement.  The  group 
capital  calculation  is  designed  to  assist  state  insurance 
regulators  in  understanding  the  financial  condition  of  non-
insurance  entities  that  are  part  of  an  insurance  holding 
company  system  and 
insurance 
the  degree 
companies are supporting those non-insurance entities.

to  which 

limit 

Regulation of Dividends and Other Payments from Insurance 
Subsidiaries.  The  ability  of  an  insurer  to  pay  dividends  or 
make  other  distributions  is  subject  to  insurance  regulatory 
limitations  of  the  insurer’s  state  of  domicile.  Such  laws 
generally 
the  payment  of  dividends  or  other 
distributions  above  a  specified  level.  Dividends  or  other 
distributions in excess of such thresholds are “extraordinary” 
and  are  subject  to  prior  notice  and  approval,  or  non-
disapproval  after  receiving  notice.  In  April  2015,  the  GSEs 
published  comprehensive,  revised  requirements,  known  as 
the  Private  Mortgage  Insurer  Eligibility  Requirements  or 
“PMIERs.” Arch MI U.S.’ ability to pay dividends is subject 
to  prior  notification  and  approval  through  June  30,  2021, 
pursuant to the PMIERs guidance related to COVID-19.

Credit for Reinsurance. Arch Re U.S. is subject to insurance 
regulation and supervision that is similar to the regulation of 
licensed  primary  insurers.  However,  except  for  certain 
mandated  provisions  that  must  be  included  in  order  for  a 
ceding  company  to  obtain  credit  for  reinsurance  ceded,  the 
terms and conditions of reinsurance agreements generally are 
not subject to regulation by any governmental authority.

A  primary  insurer  ordinarily  will  enter  into  a  reinsurance 
agreement  to  obtain  credit  for  the  reinsurance  ceded  on  its 
U.S.  statutory-basis  financial  statements.  As  a  result  of  the 

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to 

relating 

requirements 
for 
reinsurance,  Arch  Re  U.S.  and  Arch  Re  Bermuda  are 
indirectly subject to certain regulatory requirements imposed 
by jurisdictions in which ceding companies are domiciled.

the  provision  of  credit 

In general, credit for reinsurance is allowed if the reinsurer is 
licensed  or  “accredited”  in  the  state  in  which  the  primary 
insurer  is  domiciled;  or  if  none  of  the  above  applies,  to  the 
extent  that  the  reinsurance  obligations  of  the  reinsurer  are 
collateralized appropriately, typically through the posting of a 
letter  of  credit  for  the  benefit  of  the  primary  insurer  or  the 
deposit of assets into a trust fund established for the benefit 
of  the  primary  insurer.  Most  states  have  adopted  provisions 
of  the  NAIC  Credit  for  Reinsurance  Model  Law  and 
Regulation  that  allow  full  credit  to  U.S.  ceding  insurers  for 
reinsurance  ceded  to  reinsurers  that  have  been  approved  as 
“certified 
than  100% 
collateralization. As of February 2, 2021 Arch Re Bermuda is 
approved as a “certified reinsurer” in 39 states.

reinsurers”  based  upon 

less 

In April 2018, the U.S. and the EU entered into the Bilateral 
Agreement  between  the  United  States  of  America  and  the 
European  Union  on  Prudential  Matters  Regarding  Insurance 
and  Reinsurance  (the  “EU-US  Covered  Agreement”)  that, 
among  other  things,  would  eliminate  reinsurance  collateral 
requirements  for  qualified  U.S.  reinsurers  operating  in  the 
EU  insurance  market,  and  eliminate  reinsurance  collateral 
requirements  under  U.S.  state  insurance  law  for  qualified 
reinsurers  having  their  head  office  or  domiciled  in  an  EU 
member  state.  In  December  2018,  the  U.S.  Secretary  of  the 
Treasury  and  the  U.S.  Trade  Representative  announced  that 
they  had  reached  agreement  with  the  U.K.  on  a  covered 
agreement  (“U.K.  Covered  Agreement”)  with  terms  nearly 
identical  to  the  EU  Covered  Agreement  for  insurers  and 
reinsurers  operating  in  the  U.K.  In  2019,  the  NAIC  adopted 
amendments  to  the  Credit  for  Reinsurance  Model  Law  and 
Regulation  that  would  implement  the  EU-US  Covered 
Agreement  and  the  U.K.  Covered  Agreement  and  eliminate 
reinsurance  collateral  requirements  for  qualified  reinsurers 
having  their  head  office  or  domiciled  in  other  jurisdictions 
deemed  “Reciprocal  Jurisdictions”  by  the  NAIC  (although 
individual  states  may  reject  a  Reciprocal  Jurisdiction 
designation).  The  NAIC  list  of  Reciprocal  Jurisdictions 
includes  Bermuda,  Japan  and  Switzerland.  As  of  February 
23, 2021, the NAIC reports that eighteen states have adopted 
the  2019  amendments  to  the  Credit  for  Reinsurance  Model 
Law with an additional 18 considering amendments.

Risk  Management  and  ORSA.  The  NAIC  Risk  Management 
and  Own  Risk  Solvency  Assessment  Model  Act  (“ORSA 
Model  Act”)  provides  that  domestic  insurers,  or  their 
insurance group, must regularly conduct an ORSA consistent 
with  a  process  comparable  to  the  ORSA  Guidance  Manual 
process.  The  ORSA  Model  Act  also  provides  that,  no  more 
than  once  a  year,  an  insurer’s  domiciliary  regulator  may 
request that an insurer submit an ORSA summary report, or 

that 

together  contain 

any  combination  of  reports 
the 
information  described  in  the  ORSA  Guidance  Manual,  with 
respect to the insurer and/or the insurance group of which it 
is  a  member.  States  may  impose  additional  internal  review 
and  regulatory  filing  requirements  on  licensed  insurers  and 
their  parent  companies.  Nearly  all  states  have  enacted  the 
ORSA Model Act or substantially similar legislation.

impose 

that  may 

regulations 

Cybersecurity  and  Privacy.  The  NAIC  has  adopted  an 
Insurance  Data  Security  Model  Law,  which,  when  adopted 
by  the  states,  will  require  insurers,  insurance  producers  and 
other  entities  required  to  be  licensed  under  state  insurance 
laws  to  comply  with  certain  requirements  under  state 
insurance laws, such as developing and maintaining a written 
information  security  program,  conducting  risk  assessments 
and  overseeing  the  data  security  practices  of  third-party 
vendors. A number of states have already adopted versions of 
this  model  law,  with  more  expected  to  follow.  In  addition, 
certain  state  insurance  regulators  are  developing  or  have 
developed 
regulatory 
requirements  relating  to  cybersecurity  on  insurance  and 
reinsurance  companies  (potentially  including  insurance  and 
reinsurance  companies  that  are  not  domiciled,  but  are 
licensed,  in  the  relevant  state).  Privacy  legislation  and 
regulation has also become an issue of increasing focus of the 
federal  government  and 
in  many  states.  In  addition, 
California Consumer Privacy Act of 2018 (“CCPA”), which 
also  applies  to  us,  came  into  effect  on  January  1,  2020,  and 
grants  California  consumers  certain  rights  to,  among  other 
things,  access  and  delete  data  about  them  subject  to  certain 
exceptions,  as  well  as  a  private  right  of  action  related  to 
cybersecurity breaches with statutory penalties. Additionally, 
a California ballot initiative known as the California Privacy 
Rights  Act  of  2020  (“CPRA”)  passed  as  part  of  the 
November  2020  ballot  and  will  become  fully  effective  on 
January  1,  2023.  The  CPRA  will  apply  to  us  and  will 
substantially  amend  the  CCPA,  providing  for  additional 
consumer  privacy  rights,  additional  regulatory  obligations, 
and  creating  a  new  privacy  focused  California  regulatory 
agency  with  enforcement  authority.  A  range  of  new 
cybersecurity  and  privacy  laws  are  also  under  consideration 
in other states, as well as by the federal government.

Risk-Based  Capital  Requirements.  Licensed  U.S.  property 
and casualty insurance and reinsurance companies are subject 
to risk-based capital requirements that are designed to assess 
capital  adequacy  and  to  raise  the  level  of  protection  that 
statutory  surplus  provides  for  policyholder  obligations.  The 
risk-based capital model for property and casualty insurance 
companies measures three major areas of risk facing property 
and  casualty  insurers:  underwriting,  which  encompasses  the 
risk  of  adverse  loss  developments  and  inadequate  pricing; 
declines in asset values arising from credit risk; and declines 
in asset values arising from investment risks. An insurer will 
be subject to varying degrees of regulatory action depending 
on how its statutory surplus compares to its risk-based capital 

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calculation.  Under  the  approved  formula,  an  insurer’s  total 
adjusted  capital  is  compared  to  its  authorized  control  level 
risk-based capital. If this ratio is above a minimum threshold, 
no  company  or  regulatory  action  is  necessary.  Below  this 
threshold are four distinct action levels at which an insurer’s 
domiciliary  state  regulator  can  intervene  with  increasing 
degrees of authority over an insurer as the ratio of surplus to 
risk-based  capital 
requirement  decreases.  The  mildest 
regulatory  action  requires  an  insurer  to  submit  a  plan  for 
corrective  action;  the  most  severe  requires  an  insurer  to  be 
rehabilitated or liquidated. 

Our  mortgage  insurance  operations  are  not  currently  subject 
to state risk-based capital requirements, but rather are subject 
to  state  risk  to  capital  or  minimum  policyholder  position 
requirements.  The  NAIC  has  established  a  Mortgage 
Guaranty  Insurance  Working  Group  which  is  engaged  in 
developing  changes  to  the  Mortgage  Guaranty  Insurers 
Model Act, including the development of a risk based capital 
model unique to mortgage guaranty insurers. 

Guaranty  Funds.  Most  states  require  all  admitted  insurance 
companies  to  participate  in  their  respective  guaranty  funds 
which cover certain claims against insolvent insurers. Solvent 
insurers  licensed  in  these  states  are  required  to  cover  the 
losses  paid  on  behalf  of  insolvent  insurers  by  the  guaranty 
funds and are generally subject to annual assessments in the 
states by the guaranty funds to cover these losses. Mortgage 
guaranty  insurance,  among  other  lines  of  business,  is 
typically exempt from participation in guaranty funds.

is 

the 
Federal  Regulation.  Although  state  regulation 
dominant  form  of  regulation  for  insurance  and  reinsurance 
business,  a  number  of  federal  laws  affect  and  apply  to  the 
insurance industry. The Dodd-Frank Wall Street Reform and 
Consumer  Protection  Act  of  2010  (“Dodd-Frank”)  created 
the Federal Insurance Office (“FIO”) within the Department 
of Treasury, which is not a federal regulator or supervisor of 
insurance,  but  monitors  the  insurance  industry  for  systemic 
risk,  administers  the  Terrorism  Risk  Insurance  Program 
(“TRIP”),  consults  with  the  states  regarding  insurance 
matters  and  develops 
federal  policy  on  aspects  of 
international  insurance  matters.  See  “Risk  Factors—Risks 
Relating  to  Our  Industry,  Business  and  Operations—We 
could  face  unanticipated  losses  from  war,  terrorism,  cyber-
attacks, pandemics and political instability, and these or other 
unanticipated  losses  could  have  a  material  adverse  effect  on 
our  financial  condition  and  results  of  operations”  for  more 
information on TRIP. In addition, FIO is authorized to assist 
the  U.S.  Secretary  of  the  Treasury  in  negotiating  “covered 
agreements”  between  the  U.S.  and  one  or  more  foreign 
governments  or  regulatory  authorities  that  address  insurance 
prudential measures. 

Certain  other  federal  laws  also  directly  or  indirectly  impact 
mortgage  insurers,  including  the  Real  Estate  Settlement 

Procedures  Act  of  1974  (“RESPA”),  the  Homeowners 
the  Equal  Credit 
Protection  Act  of  1998  (“HOPA”), 
Opportunity Act, the Fair Housing Act, the Truth In Lending 
Act  (“TILA”),  the  Fair  Credit  Reporting  Act  of  1970 
(“FCRA”),  and  the  Fair  Debt  Collection  Practices  Act. 
Among  other  things,  these  laws  and  their  implementing 
regulations  prohibit  payments  for  referrals  of  settlement 
service  business,  require  fairness  and  non-discrimination  in 
granting  or  facilitating  the  granting  of  credit,  govern  the 
circumstances  under  which  companies  may  obtain  and  use 
consumer  credit  information,  define  the  manner  in  which 
companies  may  pursue  collection  activities,  and  require 
disclosures  of  the  cost  of  credit  and  provide  for  other 
consumer protections.

GSE Eligible Mortgage Insurer Requirements. GSEs impose 
requirements  on  private  mortgage  insurers  so  that  they  may 
be  eligible  to  insure  loans  sold  to  the  GSEs,  known  as  the 
PMIERs.  The  PMIERs  apply  to  our  eligible  mortgage 
insurers,  but  do  not  apply  to  Arch  Mortgage  Guaranty 
Company, which is not GSE-approved. The PMIERs impose 
limitations  on  the  type  of  risk  insured,  the  forms  and 
insurance  policies  issued,  standards  for  the  geographic  and 
customer  diversification  of  risk,  procedures  for  claims 
handling,  acceptable  underwriting  practices,  standards  for 
certain  reinsurance  cessions  and  financial  requirements, 
among  other  things.  The  financial  requirements  require  an 
eligible  mortgage  insurer’s  available  assets,  which  generally 
include only the most liquid assets of an insurer, to meet or 
exceed  “minimum  required  assets”  as  of  each  quarter  end. 
Minimum required assets are calculated from PMIERs tables 
with  several  risk  dimensions  (including  origination  year, 
original  loan-to-value,  original  credit  score  of  performing 
loans,  and  the  delinquency  status  of  non-performing  loans). 
Our  eligible  mortgage 
the  PMIERs’ 
financial requirements as of December 31, 2020. 

insurers  satisfied 

Canada

insurance/reinsurance.  The  Office  of 

Arch  Insurance  Canada  and  Arch  Re  Canada  are  subject  to 
federal,  as  well  as  provincial  and  territorial,  regulation  in 
Canada  in  the  provinces  and  territories  in  which  they 
underwrite 
the 
Superintendent  of  Financial  Institutions  (“OSFI”)  is  the 
federal regulatory body that, under the Insurance Companies 
Act  (Canada),  prudentially  regulates  federal  Canadian  and 
non-Canadian 
companies 
and 
operating  in  Canada.  Arch  Insurance  Canada  is  licensed  to 
carry  on  insurance  business  by  OSFI  and  in  each  province 
and  territory.  Arch  Re  Canada  is  licensed  to  carry  on 
reinsurance business by OSFI and in the provinces of Ontario 
and Quebec.

reinsurance 

insurance 

Under 
the  Insurance  Companies  Act  (Canada),  Arch 
Insurance Canada is required to maintain an adequate amount 
of  capital  in  Canada,  calculated  in  accordance  with  a  test 

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promulgated by OSFI called the Minimum Capital Test, and 
Arch Re Canada is required to maintain an adequate margin 
of assets over liabilities in Canada, calculated in accordance 
with a test promulgated by OSFI called the Branch Adequacy 
of  Assets  Test.  OSFI  has 
implemented  a  risk-based 
methodology  for  assessing  insurance/reinsurance  companies 
operating in Canada known as its “Supervisory Framework.” 
In applying the Supervisory Framework, OSFI considers the 
inherent  risks  of  the  business  and  the  quality  of  risk 
management  for  each  significant  activity  of  each  operating 
entity.  Under  the  Insurance  Companies  Act  (Canada), 
approval  of  the  Minister  of  Finance  (Canada)  is  required  in 
connection  with  certain  acquisitions  of  shares  of,  or  control 
of,  Canadian  insurance  companies  such  as  Arch  Insurance 
Canada, and notice to and/or approval of OSFI is required in 
connection  with  the  payment  of  dividends  by  or  redemption 
of  shares  by  Canadian  insurance  companies  such  as  Arch 
Insurance Canada.

United Kingdom 

General.  The  Prudential  Regulation  Authority  (“PRA”)  and 
the Financial Conduct Authority (“FCA”) regulate insurance 
and  reinsurance  companies  and  the  FCA  regulates  firms 
carrying  on  insurance  mediation  activities  operating  in  the 
U.K. both under the Financial Services and Markets Act 2000 
(the  “FSMA”).  In  May  2004,  Arch  Insurance  (U.K.)  was 
granted the relevant permissions for the classes of insurance 
business  which  it  underwrites  in  the  U.K.  AMAL  currently 
manages  Arch  Syndicate  2012  and  Arch  Syndicate  1955 
pursuant  to  its  authorizations  by  the  U.K.  regulator  and  the 
Lloyd’s  Franchise  Board.  All  U.K.  companies  are  also 
subject to a range of statutory provisions, including the laws 
and  regulations  of  the  Companies  Act  2006  (as  amended) 
(the “U.K. Companies Act”).

The  objectives  of  the  PRA  are  to  promote  the  safety  and 
soundness  of  all  firms  it  supervises  and  to  secure  an 
appropriate  degree  of  protection  for  policyholders.  The 
objectives  of  the  FCA  are  to  ensure  customers  receive 
financial  services  and  products  that  meet  their  needs,  to 
promote  sound  financial  systems  and  markets  and  to  ensure 
that  firms  are  stable  and  resilient  with  transparent  pricing 
information  and  which  compete  effectively  and  have  the 
interests of their customers and the integrity of the market at 
the  heart  of  how  they  run  their  business.  The  PRA  has 
responsibility  for  the  prudential  regulation  of  banks  and 
insurers, while the FCA has responsibility for the conduct of 
business  regulation  in  the  wholesale  and  retail  markets.  The 
PRA  and  the  FCA  adopt  separate  methods  of  assessing 
regulated  firms  on  a  periodic  basis.  Arch  Insurance  (U.K.) 
and  AMAL  are  subject  to  periodic  assessment  by  the  PRA 
along  with  all  regulated  firms.  Arch  Insurance  (U.K.)  and 
AMAL are subject to regulation by both the PRA and FCA. 
Castel is authorized and regulated by the FCA and is subject 
to periodic assessment and review by the FCA.

in  relation 

including  specifying  conditions 

Lloyd’s Supervision. The operations of AMAL (as managing 
agent of Arch Syndicate 2012 and Arch Syndicate 1955) and 
each syndicate’s respective corporate members, are subject to 
the  byelaws  and  regulations  made  by  (or  on  behalf  of)  the 
Council  of  Lloyd’s,  and  requirements  made  under  those 
byelaws.  The  Council  of  Lloyd’s,  established  in  1982  by 
Lloyd’s  Act  1982,  has  overall  responsibility  and  control  of 
Lloyd’s.  Those  byelaws,  regulations  and  requirements 
provide  a  framework  for  the  regulation  of  the  Lloyd’s 
to 
market, 
underwriting  and  claims  operations  of  Lloyd’s  participants. 
Lloyd’s  is  also  subject  to  the  provisions  of  the  FSMA. 
Lloyd's is authorized by the PRA and regulated by the PRA 
and FCA. Those entities acting within the Lloyd’s market are 
required  to  comply  with  the  requirements  of  the  FSMA  and 
provisions  of  the  PRA’s  or  FCA's  rules,  although  the  PRA 
has delegated certain of its powers, including some of those 
relating 
to  Lloyd’s.  Each 
corporate  member  of  Lloyd’s  is  required  to  contribute  a 
percentage of the member’s premium income for each year of 
account to the Lloyd’s central fund. The Lloyd’s central fund 
is available if members of Lloyd’s assets are not sufficient to 
meet  claims  for  which  the  member  is  liable.  Each  corporate 
member of Lloyd’s, may also be required to contribute to the 
central fund by way of a supplement to a callable layer of up 
to 3% of the corresponding member’s premium income limit 
for the relevant year of account. 

to  prudential  requirements, 

Financial Resources. The European solvency framework and 
prudential regime for insurers and reinsurers, the Solvency II 
Directive 2009/138/EC (“Solvency II”), took effect in full on 
January  1,  2016.  See  “European  Union—Insurance  and 
Reinsurance  Regulatory  Regime”  below  for  additional 
details.

Arch  Insurance  (U.K.),  and  the  corporate  members  of  Arch 
Syndicate  2012  and  Arch  Syndicate  1955  are  currently 
required to meet economic risk-based solvency requirements 
imposed  under  Solvency  II.  Solvency  II,  together  with 
European Commission “delegated acts” and guidance issued 
by  the  European  Insurance  and  Occupational  Pensions 
Authority  (“EIOPA”)  sets  out  classification  and  eligibility 
requirements,  including  the  features  which  capital  must 
display  in  order  to  qualify  as  regulatory  capital.  Currently, 
the  European  Commission  is  undertaking  a  review  of 
Solvency II to ensure that the regime remains fit for purpose 
of  calling  upon  EIOPA  to  provide  technical  advice  with 
EIOPA  publishing  its  Opinion  on  December  17,  2020.  The 
European  Commission’s  proposal  on  the  review  is  expected 
in the 2021 third quarter.

On  January  31,  2020,  the  U.K.  withdrew  from  the  EU  with 
the  terms  of  Brexit  set  forth  in  the  Withdrawal  Agreement 
agreed by the U.K. Parliament and the EU Parliament. At the 
expiration  of  the  transition  period  from  January  31,  2020 
until  December  31,  2020  (the  “Transition  Period”),  during 

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which time the U.K. remained in the EU customs union and 
single  market,  the  European  Union  (Withdrawal)  Act  2018, 
as  amended,  has 
transposed  all  applicable  direct  EU 
legislation  into  domestic  U.K.  law,  thus  ensuring  the 
continuing  application  of  Solvency  II  under  the  U.K.’s 
financial services regulatory regime. 

In June 2020, the U.K. government revealed plans to review 
Solvency  II  to  ensure  that  it  is  properly  tailored  to  take 
account  the  structural  features  of  the  U.K.  insurance  sector, 
with  HM  Treasury  publishing  a  ‘Call  for  Evidence’  in 
October  2020,  outlining  the  motives  behind  the  review  and 
inviting  feedback  on  various  areas,  including,  amongst 
others, the standard formula for capital requirements, the risk 
margin, the matching adjustment and reporting requirements. 
The  results  of  the  review  are  not  expected  to  be  published 
until later in 2021.

under 

Financial  Services  Compensation  Scheme.  The  Financial 
Services  Compensation  Scheme  (“FSCS”)  is  a  scheme 
established 
eligible 
policyholders  of  insurance  companies  who  may  become 
insolvent.  The  FSCS  is  funded  by  the  levies  that  it  has  the 
power to impose on all insurers. Arch Insurance (U.K.) could 
be required to pay levies to the FSCS.

compensate 

FSMA 

to 

Restrictions  on  Acquisition  of  Control.  Under  FSMA,  the 
prior consent of the PRA or FCA, as applicable, is required, 
before  any  person  can  become  a  controller  or  increase  its 
control  over  any  regulated  company, 
including  Arch 
Insurance  (U.K.),  or  over  the  parent  undertaking  of  any 
regulated  company.  Therefore,  the  PRA's  or  FCA's  prior 
consent,  as  applicable,  is  required  before  any  person  can 
become  a  controller  of  Arch  Capital.  Prior  consent  is  also 
required  from  Lloyd’s  before  any  person  can  become  a 
controller or increase its control over a corporate member or 
a  managing  agent  or  a  parent  undertaking  of  a  corporate 
member or managing agent. A controller is defined for these 
purposes  as  a  person  who  holds  (either  alone  or  in  concert 
with others) 10% or more of the shares or voting power in the 
relevant company or its parent undertaking.

they  have  “profits  available 

Restrictions on Payment of Dividends. Under English law, all 
companies  are  restricted  from  declaring  a  dividend  to  their 
shareholders  unless 
for 
distribution.”  The  calculation  as  to  whether  a  company  has 
sufficient profits is based on its accumulated realized profits 
minus  its  accumulated  realized  losses.  U.K.  insurance 
regulatory laws do not prohibit the payment of dividends, but 
the  PRA  or  FCA,  as  applicable,  requires  that  insurance 
companies,  insurance  intermediaries  and  other  regulated 
entities  maintain  certain  solvency  margins  and  may  restrict 
the payment of a dividend by Arch Insurance (U.K.), AMAL 
or Castel, for example.

European  Union  Considerations.  During  the  Transition 
Period,  there  was  no  change  in  passporting  rights  for 
financial institutions in the U.K. Under our Brexit plan, since 
January  2020  nearly  all  of  the  EEA  insurance  business  of 
Arch Insurance (U.K.) has been conducted by Arch Insurance 
(EU).  As  part  of  our  Brexit  planning,  and  in  advance  of  the 
Transition  Period  expiring,  a  transfer  of  the  EEA  legacy 
business 
from  Arch 
Insurance  (U.K.)  to  Arch  Insurance  (EU)  was  completed 
under Part VII of the U.K. Financial Services and Market Act 
2000 at the end of December 2020 (“Part VII Transfer”).

reinsurance) 

(excluding 

inwards 

The  U.K.  government  established  a  Temporary  Permissions 
Regime  (“TPR”)  which  came  into  force  with  effect  from 
January  1,  2021,  which  allows  EEA  firms  such  as  Arch  Re 
Europe and Arch Insurance (EU), covered by a passport prior 
to  that  date,  who  wish  to  continue  carrying  out  business  in 
the  U.K.  in  the  longer  term,  to  operate  in  the  U.K.  for  a 
limited  period  while  they  seek  authorization  or  recognition 
from  the  U.K.  regulators.  However,  no  TPR-equivalent 
regime  is  in  place  for  U.K.  firms  who  wish  to  continue 
carrying  out  business  in  the  EEA.  In  the  absence  of  a  TPR-
equivalent  regime  for  U.K.  firms,  the  ability  of  U.K.  firms 
(including,  Arch  Insurance  (U.K.),  AMAL  and  Castel)  to 
continue  doing  business  in  the  EEA  depends  on  applicable 
EEA state local law and regulation. Similarly, there has been 
no  decision  yet  made  by  the  European  Commission  on 
whether  or  not  the  U.K.’s  financial  services  regulatory 
regime  will  be  granted  third-country  equivalence  for  the 
purposes  of  reinsurance,  solvency  calculation  and/or  group 
supervision  under  Solvency  II.  In  the  absence  of  such 
declarations,  EEA  firms  (and 
their  respective  groups) 
carrying  out  business  with  U.K.  firms  will  be  subject  to  a 
stricter,  more  complex,  set  of  regulatory  and  supervisory 
requirements.  U.K.  firms  will  also  be  subject  to  more 
stringent  requirements  in  carrying  out  reinsurance  business 
with EEA firms.

The  long-term  implications  of  Brexit  on  the  Solvency  II 
framework  in  the  U.K.  remain  uncertain  in  relation  to  the 
arrangements  that  will  allow  U.K.  and  EU-established  firms 
to  continue  to  effectively  transact  business  with  each  other 
and how the future relationship between the two parties will 
adversely  affected  regulated  entities.  See  “Risk  Factors—
Risks  Relating  to  Our  Industry,  Business  and  Operations—
The  U.K.’s  Withdrawal  from  the  EU  could  adversely  affect 
us.”

On December 24, 2020, the EU and the U.K. agreed the EU-
UK Trade Cooperation Agreement (the “TCA”) which details 
the terms of the future cooperation between the U.K. and the 
EU.  The  TCA  was  signed  by  both  the  EU  and  U.K.  on 
December  30,  2020,  with  a  provisional  effective  date  of 
January  1,  2021.  The  TCA  does  not  preserve  the  status  of 
financial services and as a result, under the provisions of the 
institutions  (including  our  Irish 
TCA,  EEA  financial 

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operating subsidiaries) have lost their passporting rights into 
the U.K. Absent any future agreement between the U.K. and 
the  EU  on  the  provision  of  financial  services  by  U.K. 
financial  institutions  into  the  EU,  the  post-Brexit  status  and 
rules  applicable 
to  U.K.  branches  of  EEA  financial 
institutions  will  be  primarily  driven  by  U.K.  law  and 
regulation.  See  “Risk  Factors—Risks  Relating 
to  Our 
Industry,  Business  and  Operations—The  U.K.’s  Withdrawal 
from the EU could adversely affect us.”

Ireland 

General.  The  CBOI  regulates  insurance  and  reinsurance 
companies  and  intermediaries  authorized  in  Ireland.  Our 
three  Irish  operating  subsidiaries  are  Arch  Re  Europe,  Arch 
Insurance  (EU)  and  Arch  Underwriters  Europe.  Arch  Re 
Europe  was  licensed  and  authorized  by  the  CBOI  as  a  non-
life  reinsurer  in  October  2008  and  as  a  life  reinsurer  in 
November  2009.  Arch  Insurance  (EU)  was  licensed  and 
authorized  by  the  CBOI  as  a  non-life  insurer  in  December 
2011.  As  part  of  our  Brexit  plan,  Arch  Insurance  (EU) 
received approval from the CBOI to expand the nature of its 
business  in  2019  commenced  writing  expanded  insurance 
lines  in  the  EEA  in  2020,  and  the  Part  VII  Transfer  was 
completed at the end of December 2020. Arch Underwriters 
Europe  was  registered  by  the  CBOI  as  an  insurance  and 
reinsurance intermediary in July 2014. Arch Re Europe, Arch 
Insurance (EU) and Arch Underwriters Europe are subject to 
the  supervision  of  the  CBOI  and  must  comply  with  Irish 
insurance acts and regulations as well as with directions and 
guidance issued by the CBOI.

Arch  Re  Europe  and  Arch  Insurance  (EU)  are  required  to 
comply with Solvency II requirements. See “European Union 
—Insurance and Reinsurance Regulatory Regime” below for 
additional  details.  As  an  intermediary,  Arch  Underwriters 
Europe is subject to a different regulatory regime and is not 
subject  to  solvency  capital  rules,  but  must  comply  with 
requirements  such  as  to  maintain  professional  indemnity 
insurance  and  to  have  directors  that  are  fit  and  proper.  Our 
Irish subsidiaries are also subject to the general body of Irish 
company laws and regulations including the provisions of the 
Companies Act 2014.

Financial  Resources.  Arch  Re  Europe  and  Arch  Insurance 
(EU)  are  required  to  meet  economic  risk-based  solvency 
requirements  imposed  under  Solvency  II.  Solvency  II, 
together  with  European  Commission  “delegated  acts”  and 
guidance  issued  by  EIOPA  sets  out  classification  and 
eligibility  requirements,  including  the  features  which  capital 
must display in order to qualify as regulatory capital.

Restrictions  on  Acquisitions.  Under  Irish  law,  the  prior 
consent  of  the  CBOI  is  required  before  any  person  can 
acquire or increase a qualifying holding in an Irish insurer or 
reinsurer,  including  Arch  Insurance  (EU)  and  Arch  Re 

Europe, or their parent undertakings. A qualifying holding is 
defined for these purposes as a direct or indirect holding that 
represents 10% or more of the capital of, or voting rights, in 
the undertaking or makes it possible to exercise a significant 
influence over the management of the undertaking.

Restrictions on Payment of Dividends. Under Irish company 
law,  Arch  Re  Europe,  Arch  Insurance  (EU)  and  Arch 
Underwriters Europe are permitted to make distributions only 
out of profits available for distribution. A company’s profits 
available for distribution are its accumulated, realized profits, 
so  far  as  not  previously  utilized  by  distribution  or 
capitalization, less its accumulated, realized losses, so far as 
not previously written off in a reduction or reorganization of 
capital duly made. Further, the CBOI has powers to intervene 
if a dividend payment were to lead to a breach of regulatory 
capital requirements. 

In  response  to  the  COVID-19  pandemic,  EIOPA  issued  a 
statement  in  April  2020  urging  (re)insurers  to  temporarily 
suspend all discretionary dividend distributions and share buy 
backs aimed at remunerating shareholders, and recommended 
a  similar  prudent  approach  should  be  applied  to  variable 
remuneration policies. In December 2020, EIOPA reiterated, 
in  light  of  its  previous  statement  in  April  2020,  the 
importance  of  extreme  caution  and  prudence  in  relation  to 
insurance firm's capital management.

looking 

forward 

satisfactory 

On  the  basis  of  EIOPA's  statement,  the  CBOI  issued 
guidance  in  April  2020  that  insurance  firms  postpone  any 
payment of dividend distributions or similar transactions until 
they  can  forecast  their  costs  and  future  revenues  with  a 
greater degree of certainty. The CBOI's position is that if the 
board of an insurance firm forms the view that a high level of 
certainty has been reached and wishes to make a distribution, 
the  CBOI  expects  the  firm  to  engage  with  their  local 
supervision  team  before  proceeding  with  the  distribution, 
demonstrating 
solvency, 
liquidity  and  operational  resilience  positions  in  light  of  the 
current  environment.  Additionally,  the  CBOI  advised  in  the 
same  guidance  that  insurance  firms  are  expected  to  exercise 
similar  prudence  in  respect  of  any  variable  remuneration 
policies  and  should  consider  whether  the  postponement  of 
any  payments  under  such  variable  remuneration  policies 
would be appropriate in light of the current environment. In 
February  2021,  the  CBOI  reiterated  its  expectations  in 
relation  to  distributions  by  insurance  firms,  confirming  that 
between  January  1,  2021  and  at  least  until  September  30, 
2021,  it  expects  that  total  dividends,  share  buy-backs  and 
variable  remuneration  for  material  risk-takers  of  significant 
insurance  firms  should  not  result  in  a  reduction  in  solvency 
ratio  of  more  than  15  percentage  points  from  the  pre-
distribution  solvency  ratio,  and  overall  distributions  should 
be  significantly  lower  than  in  years  prior  to  the  COVID-19 
pandemic.

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Insurance 

European  Union  Considerations.  As  Arch  Re  Europe,  Arch 
Insurance (EU) and Arch Underwriters Europe are authorized 
by  the  CBOI  in  Ireland,  a  Member  State  of  the  EU,  those 
authorizations  are  recognized  throughout  the  EEA.  Subject 
only  to  certain  notification  and  application  requirements, 
(EU)  and  Arch 
Arch  Re  Europe,  Arch 
Underwriters  Europe  can  provide  services,  or  establish  a 
branch, in any other Member State of the EEA. Although, in 
doing  so,  they  may  be  subject  to  the  laws  of  such  Member 
States  with  respect  to  the  conduct  of  business  in  such 
Member State, company law registrations and other matters, 
they  will  remain  subject 
to  financial  and  operational 
supervision  by  the  CBOI  only.  Arch  Insurance  (EU)  has 
branches in the following EU countries: Italy and Denmark. 
Arch Insurance (EU) also has a branch outside of the EU in 
the U.K. Arch Re Underwriting ApS in Denmark (“Arch Re 
Denmark”)  is  an  underwriting  agency  underwriting  accident 
and  health  and  other  reinsurance  business  for  Arch  Re 
Europe.  Arch  Re  Europe  also  has  two  branches  outside  the 
EU in the U.K. and in Switzerland (“Arch Re Europe Swiss 
Branch”).

From January 1, 2021, under the provisions of the TCA our 
Irish regulated entities have lost their passporting rights into 
the U.K. See “Risk Factors—Risks Relating to Our Industry, 
Business  and  Operations—The  U.K.’s  Withdrawal  from  the 
EU could adversely affect us.”

European Union 

Insurance  and  Reinsurance  Regulatory  Regime.  Solvency  II 
took  effect  in  full  on  January  1,  2016.  Solvency  II  imposes 
economic  risk-based  solvency  requirements  across  all  EU 
Member  States  and  consists  of  three  pillars:  Pillar  I-
quantitative capital requirements, based on a valuation of the 
entire  balance  sheet;  Pillar  II-qualitative  regulatory  review, 
which  includes  governance,  internal  controls,  enterprise  risk 
management  and  supervisory  review  process;  and  Pillar  III-
market  discipline,  which  is  accomplished  through  reporting 
of  the  insurer’s  financial  condition  to  regulators  and  the 
public.  Solvency 
supplemented  by  European 
Commission  Delegated  Regulation  (EU)  2015/35  (the 
“Delegated  Regulation”),  other  European  Commission 
technical  standards,  and 
“delegated  acts”  and  binding 
guidelines  issued  by  EIOPA.  The  Delegated  Regulation  sets 
out  more  detailed  requirements  for  individual  insurance  and 
reinsurance undertakings, as well as for groups, based on the 
overarching  provisions  of  Solvency  II,  which  together  make 
up  the  core  of  the  single  prudential  rulebook  for  insurance 
and reinsurance undertakings in the EU. 

II 

is 

In  December  2020,  EIOPA  provided  an  opinion  to  the 
European  Commission  in  relation  to  the  review  of  the 
Solvency  II  regime.  This  review  was  initiated  by  the 
European Commission to determine if the Solvency II regime 
remains fit for purpose. In its opinion, EIOPA confirms that 

the  overall  Solvency  II  framework  is  working  well  from  a 
there  are  no 
prudential  perspective,  suggesting 
that 
fundamental  changes  needed  but 
that  a  number  of 
amendments are required to ensure the regime continues as a 
well-functioning 
regime.  The  European 
Commission  will  review  EIOPA's  opinion  over  the  coming 
months. 

risk-based 

institutions  have 

Following  entry  into  the  TCA  by  the  U.K.  and  the  EU,  and 
the  U.K.’s  withdrawal  from  the  EU  under  the  provisions  of 
the  TCA,  U.K.  financial 
their 
passporting rights into the EU. It is envisaged that there will 
be  a  level  of  cooperation  in  relation  to  financial  services, 
reflected  in  a  Memorandum  of  Understanding  between  the 
U.K. and the EU and this is currently expected to be in place 
by  March  2021.  See  “Risk  Factors—Risks  Relating  to  Our 
Industry,  Business  and  Operations—The  U.K.’s  Withdrawal 
from the EU could adversely affect us.” 

lost 

Arch Re Europe and Arch Insurance (EU), being established 
in  Ireland  and  authorized  by  the  CBOI  are  able,  subject  to 
similar  regulatory  notifications  and  there  being  no  objection 
from  the  CBOI  and  the  Member  States  concerned,  to 
establish  branches  and  provide  reinsurance  services,  and,  in 
respect  of  Arch  Insurance  (EU),  insurance  services  in  all 
EEA states.

Solvency  II  does  not  prohibit  EEA  insurers  from  obtaining 
reinsurance from reinsurers licensed outside the EEA, such as 
Arch Re Bermuda. As such, and subject to the specific rules 
in  each  Member  State,  Arch  Re  Bermuda  may  do  business 
from  Bermuda  with  insurers  in  EEA  Member  States,  but  it 
may  not  directly  operate  its  reinsurance  business  within  the 
EEA.  Article  172  of  Solvency  II  provides  that  reinsurance 
contracts  concluded  by  insurance  undertakings  in  the  EEA 
with  reinsurers  having  their  head  office  in  a  country  whose 
solvency  regime  has  been  determined  to  be  equivalent  to 
Solvency  II  shall  be  treated  in  the  same  manner  as 
reinsurance  contracts  with  undertakings 
the  EEA 
authorized  under  Solvency  II.  From  January  1,  2016, 
Bermuda  was  deemed  by  the  European  Commission  to  be 
equivalent  for  Solvency  II  purposes.  Solvency  II  also 
includes  specific  measures  providing  for  the  supervision  of 
reinsurance  groups.  However,  as  a 
insurance  and 
consequence  of  the  above  determination  of  equivalence, 
pursuant to Article 260 of Solvency II, regulators within the 
EEA are required to rely on the worldwide group supervision 
exercised by the BMA. EIOPA has also indicated that, on a 
case  by  case  basis,  groups  subject  to  this  worldwide 
supervision  may  be  exempted  from  any  EEA  sub-group 
supervision,  where  this  results  in  more  efficient  supervision 
of the group and does not impair EEA supervisors in respect 
of their individual responsibilities.

in 

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insurers  and 

The Insurance Distribution Directive (“IDD”) was published 
in  February  2016.  EEA  Member  States  were  required  to 
transpose  the  IDD  by  October  1,  2018.  It  replaces  the 
existing  Insurance  Mediation  Directive.  The  IDD  applies  to 
insurance  and  reinsurance  products 
all  distributors  of 
to 
reinsurers  selling  directly 
(including 
customers)  and  strengthens  the  regulatory  regime  applicable 
to  distribution  activities  through  increased  transparency, 
information  and  conduct  requirements.  The  principal  impact 
of the IDD is on the insurance market, however, requirements 
that  apply  across  insurance  and  reinsurance  include  more 
specific  conditions  regarding  knowledge  and  continuing 
professional development requirements for those involved in 
distribution of (re)insurance products. The IDD continues the 
existing  ability  for  intermediaries  established  in  a  Member 
State of the EU to establish branches and provide services to 
all EEA states. Arch Underwriters Europe, being established 
in  Ireland  and  authorized  by  the  CBOI,  is  able,  subject  to 
regulatory notifications and there being no objection from the 
CBOI, to establish branches and provide services in all EEA 
states.

Impact  Assessments 

Privacy.  The  European  General  Data  Protection  Regulation 
(the “GDPR”) came into effect on May 25, 2018. The GDPR 
aims  to  introduce  consistent  data  protection  rules  across  the 
EU  and  EEA,  and  its  scope  extends  to  certain  entities  not 
established in the EEA if they process personal data or offer 
goods  or  services  to,  or  monitor  the  behavior  of,  EEA  data 
subjects.  The  GDPR  contains  a  number  of  requirements 
regarding  the  processing  of  personal  data  about  individuals, 
including  mandatory  security  breach  reporting,  new  and 
strengthened  individual  rights,  evidenced  data  controller 
accountability  for  compliance  with  the  GDPR  principles 
(including  fairness  and  transparency),  maintenance  of  data 
processing  activity  records  and  the  implementation  of 
“privacy  by  design,”  including  through  the  completion  of 
mandatory  Data  Protection 
in 
connection  with  higher  risk  data  processing  activities. 
Following the end of the Transition Period on December 31, 
2020,  GDPR  was  entered  into  force  in  the  U.K.  (the  “U.K. 
GDPR”).  The  requirements  of  the  U.K.  GDPR  are  virtually 
identical  to  those  of  the  EU  GDPR.  After  the  expiration  of 
the  Transition  Period,  transfers  of  personal  data  from  the 
U.K.  to  the  EEA  are  unrestricted  and  do  not  require 
additional  safeguards.  Data  flows  from  the  EU  to  the  U.K. 
remain  unrestricted  for  a  six  month  interim  basis  from 
January  1,  2021,  provided  the  U.K.  makes  no  substantive 
changes  to  its  data  protection  laws.  The  interim  period  is 
intended to give the European Commission time to carry out 
its  adequacy  assessment  of  U.K.  data  protection  laws  to 
determine whether they offer an ‘essentially equivalent’ level 
of data protection to that afforded in the EU. If the European 
Commission  were  to  grant  the  U.K.  an  ‘adequacy  decision’ 
transfers  of  personal  data  from  the  EEA  to  the  U.K.  would 
continue  unrestricted  and  would  not  require  any  additional 

safeguards, unless the decision was revoked by the European 
the  European 
Commission.  On  February  19,  2021, 
Commission published a first draft of its "adequacy decision" 
and  officially  launched  the  process  towards  the  adoption  of 
the  adequacy  decision  for  transfers  of  personal  data  to  the 
United Kingdom from the EU.

Switzerland

In December 2008, Arch Re Europe opened Arch Re Europe 
Swiss  Branch  as  a  branch  office.  As  Arch  Re  Europe  is 
domiciled outside of Switzerland and its activities are limited 
to  reinsurance,  the  Arch  Re  Europe  Swiss  Branch  in 
Switzerland  is  not  required  to  be  licensed  by  the  Swiss 
insurance regulatory authorities.

In August 2014, Arch Underwriters Europe opened a branch 
office in Zurich (“Arch Underwriters Europe Swiss Branch”) 
to  render  reinsurance  advisory  services  to  certain  group 
companies.  Arch  Underwriters  Europe  Swiss  Branch  is 
registered  with  the  commercial  register  of  the  Canton  of 
Zurich. Since its activities are limited to advisory services for 
reinsurance  matters,  the  Arch  Underwriters  Europe  Swiss 
Branch is not required to be licensed by the Swiss insurance 
regulatory authorities.

Australia

APRA  is  an  independent  statutory  authority  responsible  for 
prudential  supervision  of 
institutions  across  banking, 
insurance and superannuation and promotes financial stability 
in Australia. Arch LMI was authorized by APRA in January 
2019  to  conduct  monoline  lenders’  mortgage  insurance 
business in Australia. Major regulatory requirements that are 
applicable to Arch LMI as an insurance provider in Australia 
levels  and 
include  requirements  on  minimum  capital 
compliance  with  corporate  governance  standards,  including 
the  risk  management  strategy  for  our  Australian  mortgage 
insurance business.

Hong Kong 

The insurance industry is regulated by Hong Kong Insurance 
Authority  (“HKIA”),  whose  principal  function  is  to  regulate 
and supervise the insurance industry for the promotion of the 
general  stability  of  the  insurance  industry  and  for  the 
protection  of  existing  and  potential  policyholders.  Arch  MI 
Asia  is  authorized  to  carry  on  general  business  Class  14 
(Credit)  and  Class  16  (Miscellaneous  Financial  Loss),  in  or 
from Hong Kong. 

Major regulatory requirements that are applicable to Arch MI 
Asia  as  a  general  business  insurer  include  requirements  on 
minimum  paid-up  capital,  minimum  solvency  margin  and 
maintenance of assets in Hong Kong.

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TAX MATTERS

The  following  summary  of  the  taxation  of  Arch  Capital  and 
the  taxation  of  our  shareholders  is  based  upon  current  law 
and  is  for  general  information  only.  Legislative,  judicial  or 
administrative changes may be forthcoming that could affect 
this summary.

The  following  legal  discussion  (including  and  subject  to  the 
matters  and  qualifications  set  forth  in  such  summary)  of 
certain  tax  considerations  (a)  under  “—Taxation  of  Arch 
Capital—Bermuda”  and  “—Taxation  of  Shareholders—
Bermuda”  is  based  upon  the  advice  of  Conyers  Dill  & 
Pearman  Limited,  Hamilton,  Bermuda  and  (b)  under  “—
Taxation  of  Arch  Capital-United  States,”  “—Taxation  of 
Shareholders-United  States  Taxation,”  “—Taxation  of  Our 
U.S.  Shareholders”  and  “—United  States  Taxation  of  Non-
U.S.  Shareholders”  is  based  upon  the  advice  of  Cahill 
Gordon & Reindel LLP, New York, New York (the advice of 
such 
accounting  matters, 
determinations  or  conclusions  relating  to  the  business  or 
activities  of  Arch  Capital).  The  summary  is  based  upon 
current  law  and  is  for  general  information  only.  The  tax 
treatment of a holder of our common or preferred shares, or 
of a person treated as a holder of our shares for U.S. federal 
income,  state,  local  or  non-U.S.  tax  purposes,  may  vary 
situation. 
the  holder’s  particular 
depending  on 
Legislative, 
or 
administrative 
interpretations may be forthcoming that could be retroactive 
and could affect the tax consequences to us or to holders of 
our shares.

firms  does  not 

changes 

judicial 

include 

tax 

or 

Taxation of Arch Capital

Bermuda.  Under  current  Bermuda  law,  Arch  Capital  is  not 
subject to tax on income or profits, withholding, capital gains 
or  capital  transfers.  Arch  Capital  has  obtained  from  the 
Minister  of  Finance  under  the  Exempted  Undertakings  Tax 
Protection  Act  1966  of  Bermuda  an  assurance  that,  in  the 
event that Bermuda enacts legislation imposing tax computed 
on profits, income, any capital asset, gain or appreciation, or 
any  tax  in  the  nature  of  estate  duty  or  inheritance,  the 
imposition  of  any  such  tax  shall  not  be  applicable  to  Arch 
Capital or to any of our operations or our shares, debentures 
or  other  obligations  until  March  31,  2035.  We  could  be 
subject  to  taxes  in  Bermuda  after  that  date.  This  assurance 
will be subject to the proviso that it is not to be construed so 
as  to  prevent  the  application  of  any  tax  or  duty  to  such 
persons as are ordinarily resident in Bermuda (we are not so 
currently  affected)  or  to  prevent  the  application  of  any  tax 
payable  in  accordance  with  the  provisions  of  the  Land  Tax 
Act 1967 of Bermuda or otherwise payable in relation to any 
property  leased  to  us  or  our  insurance  subsidiary.  We  pay 
annual  Bermuda  government  fees,  and  our  Bermuda 
insurance  and  reinsurance  subsidiary  pays  annual  insurance 

license fees. In addition, all entities employing individuals in 
Bermuda  are  required  to  pay  a  payroll  tax  and  other  sundry 
taxes  payable,  directly  or 
the  Bermuda 
government.

indirectly, 

to 

United  States.  Arch  Capital  and  its  non-U.S.  subsidiaries 
intend  to  conduct  their  operations  in  a  manner  that  will  not 
cause them to be treated as engaged in a trade or business in 
the  U.S.  and,  therefore,  will  not  be  required  to  pay  U.S. 
federal  income  taxes  (other  than  U.S.  excise  taxes  on 
insurance and reinsurance premium and withholding taxes on 
dividends and certain other U.S. source investment income). 
However, because definitive identification of activities which 
constitute being engaged in a trade or business in the U.S. is 
not  provided  by  the  Internal  Revenue  Code  of  1986,  as 
amended  (the  “Code”),  or  regulations  or  court  decisions, 
there  can  be  no  assurance  that  the  U.S.  Internal  Revenue 
Service  (“IRS”)  will  not  contend  successfully  that  Arch 
Capital or its non-U.S. subsidiaries are or have been engaged 
in  a  trade  or  business  in  the  U.S.  A  foreign  corporation 
deemed  to  be  so  engaged  would  be  subject  to  U.S.  federal 
income tax, as well as the branch profits tax, on its income, 
which is treated as effectively connected with the conduct of 
that  trade  or  business  unless  the  corporation  is  entitled  to 
relief under the permanent establishment provisions of a tax 
treaty.  Such  income  tax,  if  imposed,  would  be  based  on 
in  a  manner 
effectively  connected 
generally  analogous  to  that  applied  to  the  income  of  a 
domestic  corporation,  except  that  deductions  and  credits 
generally are not permitted unless the foreign corporation has 
timely  filed  a  U.S.  federal  income  tax  return  in  accordance 
with  applicable  regulations.  Penalties  may  be  assessed  for 
failure  to  file  tax  returns.  The  30%  branch  profits  tax  is 
imposed on net income after subtracting the regular corporate 
tax and making certain other adjustments.

income  computed 

“Treaty”),  Arch  Capital's  Bermuda 

Under  the  income  tax  treaty  between  Bermuda  and  the  U.S. 
(the 
insurance 
subsidiaries  will  be  subject  to  U.S.  income  tax  on  any 
insurance premium income found to be effectively connected 
with a U.S. trade or business only if that trade or business is 
conducted through a permanent establishment in the U.S. No 
regulations  interpreting  the  Treaty  have  been  issued.  While 
there can be no assurances, Arch Capital does not believe that 
any  of  its  Bermuda  insurance  subsidiaries  has  a  permanent 
establishment  in  the  U.S.  Such  subsidiaries  would  not  be 
entitled to the benefits of the Treaty if (i) 50% or less of Arch 
Capital's  shares  were  beneficially  owned,  directly  or 
indirectly, by Bermuda residents or U.S. citizens or residents, 
or (ii) any such subsidiary's income were used in substantial 
part  to  make  disproportionate  distributions  to,  or  to  meet 
certain  liabilities  to,  persons  who  are  not  Bermuda  residents 
or  U.S.  citizens  or  residents.  While  there  can  be  no 
assurances, Arch Capital believes that its Bermuda insurance 
subsidiaries are eligible for Treaty benefits.

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The  Treaty  clearly  applies  to  premium  income,  but  may  be 
construed  as  not  protecting  investment  income.  If  Arch 
Capital’s Bermuda insurance subsidiaries were considered to 
be  engaged  in  a  U.S.  trade  or  business  and  were  entitled  to 
the benefits of the Treaty in general, but the Treaty were not 
found  to  protect  investment  income,  a  portion  of  such 
subsidiaries’  investment  income  could  be  subject  to  U.S. 
federal income tax.

Non-U.S.  insurance  companies  carrying  on  an  insurance 
business within the U.S. have a certain minimum amount of 
effectively  connected  net  investment  income,  determined  in 
accordance  with  a  formula  that  depends,  in  part,  on  the 
amount of U.S. risk insured or reinsured by such companies. 
If  any  of  Arch  Capital's  non-U.S.  insurance  subsidiaries  is 
considered  to  be  engaged  in  the  conduct  of  an  insurance 
business in the U.S., a significant portion of such company's 
investment  income  could  be  subject  to  U.S.  federal  income 
tax.

Non-U.S. corporations not engaged in a trade or business in 
the U.S. are nonetheless subject to U.S. income tax on certain 
“fixed  or  determinable  annual  or  periodic  gains,  profits  and 
income” derived from sources within the U.S. as enumerated 
in Section 881(a) of the Code (such as dividends and certain 
interest on investments), subject to exemption under the Code 
or reduction by applicable treaties.

The  U.S.  also  imposes  an  excise  tax  on  insurance  and 
reinsurance premiums paid to non-U.S. insurers or reinsurers 
with  respect  to  risks  located  in  the  U.S.  The  rates  of  tax, 
unless  reduced  by  an  applicable  U.S.  tax  treaty,  are  4%  for 
non-life  insurance  premiums  and  1%  for  life  insurance  and 
all reinsurance premiums.

The Tax Cuts and Jobs Act of 2017 (the “Tax Cuts Act”) was 
signed into law by the President of the United States in 2017. 
For  taxable  years  beginning  after  2017,  the  Tax  Cuts  Act 
imposes  a  10%  minimum  base  erosion  and  anti-abuse  tax 
(increased  to  12.5%  for  the  2026  taxable  year  and  the 
subsequent taxable years) on the “modified taxable income” 
of a U.S. corporation (or a non-U.S. corporation engaged in a 
U.S.  trade  or  business)  over  such  corporation’s  regular  U.S. 
federal  income  tax,  reduced  by  certain  tax  credits.  The 
“modified  taxable  income”  of  a  corporation  is  determined 
without  deduction  for  certain  payments  by  such  corporation 
to  its  non-U.S.  affiliates  (including  reinsurance  premiums). 
Final regulations interpreting the base erosion and anti-abuse 
tax were issued in December 2019. 

United  Kingdom.  Our  U.K.  subsidiaries  are  companies 
incorporated and have their central management and control 
in  the  U.K.,  and  are  therefore  resident  in  the  U.K.  for 
corporation tax purposes. As a result, they will be subject to 
U.K.  corporation  tax  on  their  respective  profits.  The  U.K. 
branches of Arch Re Europe and Arch Insurance (EU) will be 

subject  to  U.K.  corporation  tax  on  the  profits  (both  income 
profits and chargeable gains) attributable to each branch. The 
rate of U.K. corporation tax for the financial year is 19% on 
profits. 

Canada.  Arch  Insurance  Canada,  a  Canadian  federal 
insurance company, commenced underwriting in 2013. Arch 
Re  U.S., 
through  a  branch,  commenced  underwriting 
reinsurance  in  Canada  in  January  2015.  Arch  Insurance 
Canada  is  taxed  on  its  worldwide  income.  Arch  Re  U.S.  is 
taxed  on  its  net  business  income  earned  in  Canada.  The 
general  federal  corporate  income  tax  rate  in  Canada  is 
currently 15%. Provincial and territorial corporate income tax 
rates  are  added  to  the  general  federal  corporate  income  tax 
rate and generally vary between 8% and 16%.

Ireland.  Each  of  Arch  Re  Europe,  Arch  Insurance  (EU)  and 
Arch  Underwriters  Europe  is  incorporated  and  resident  in 
Ireland  for  corporation  tax  purposes  and  will  be  subject  to 
Irish  corporate  tax  on  its  worldwide  profits,  including  the 
profits  of  the  branches  of  Arch  Re  Europe,  Arch  Insurance 
(EU) and Arch Underwriters Europe. Any creditable foreign 
tax payable will be creditable against Arch Re Europe’s Irish 
corporate  tax  liability  on  the  results  of  Arch  Re  Europe’s 
branches  with  the  same  principle  applied  to  Arch  Insurance 
(EU)’s  branches  and  Arch  Underwriters  Europe’s  branches. 
The  current  rate  of  Irish  corporation  tax  applicable  to  such 
trading profits is 12.5%.

Switzerland.  Arch  Re  Europe  Swiss  Branch  and  Arch 
Underwriters  Europe  Swiss  Branch  are  subject  to  Swiss 
corporation tax on the profit which is allocated to the branch. 
The  effective  tax  rate  is  approximately  21.15%  for  Swiss 
federal,  cantonal  and  communal  corporation  taxes  on  the 
profit.  The  effective  tax  rate  of  the  annual  cantonal  and 
communal  capital  taxes  on  the  equity  which  is  allocated  to 
Arch  Re  Europe  Swiss  Branch  and  Arch  Underwriters 
Europe Swiss Branch is approximately 0.17%.

Denmark.  Arch  Re  Denmark,  established  as  a  subsidiary  of 
Arch Re Bermuda, is subject to Danish corporation taxes on 
its profits at a rate of 22% for 2016 and onwards.

Hong Kong. Arch MI Asia is subject to Hong Kong corporate 
tax  on  its  assessable  profits  at  a  rate  of  16.5%.  Assessable 
profits  are  the  net  profits  for  the  basis  period,  arising  in  or 
derived from Hong Kong.

Australia.  Arch  LMI,  an  Australian  incorporated  and  tax 
resident company, is subject to Australian corporate tax on its 
worldwide profits. The current rate of Australian corporation 
tax applicable to such profits is 30%.

Taxation of Shareholders

Bermuda. Currently, there is no Bermuda withholding tax on 
dividends paid by us.

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United  States—General.  The  following  summary  sets  forth 
certain  U.S.  federal  income  tax  considerations  related  to  the 
purchase,  ownership  and  disposition  of  our  common  shares 
and our non-cumulative preferred shares (“preferred shares”). 
Unless  otherwise  stated,  this  summary  deals  only  with 
shareholders  (“U.S.  holders”)  that  are  U.S.  Persons  (as 
defined below) who hold their common shares and preferred 
shares  as  capital  assets  and  as  beneficial  owners.  The 
following  discussion  is  only  a  general  summary  of  the  U.S. 
federal  income  tax  matters  described  herein  and  does  not 
purport  to  address  all  of  the  U.S.  federal  income  tax 
consequences that may be relevant to a particular shareholder 
in  light  of  such  shareholder’s  specific  circumstances.  In 
addition,  the  following  summary  does  not  describe  the  U.S. 
federal  income  tax  consequences  that  may  be  relevant  to 
certain  types  of  shareholders,  such  as  banks,  insurance 
companies,  regulated  investment  companies,  real  estate 
investment  trusts,  financial  asset  securitization  investment 
trusts,  dealers  in  securities  or  traders  that  adopt  a  mark-to-
market  method  of  tax  accounting,  tax  exempt  entities, 
expatriates,  U.S.  holders  that  hold  our  common  shares  or 
preferred shares through a non-U.S. broker or other non-U.S. 
intermediary,  persons  who  hold  the  common  shares  or 
preferred  shares  as  part  of  a  hedging  or  conversion 
transaction  or  as  part  of  a  straddle,  who  may  be  subject  to 
special rules or treatment under the Code or persons required 
for U.S. federal income tax purposed to recognize income no 
later  than  such  income  is  reported  on  such  persons’ 
applicable financial statements. This discussion is based upon 
the  Code,  the  Treasury  regulations  promulgated  there  under 
and any relevant administrative rulings or pronouncements or 
judicial  decisions,  all  as  in  effect  on  the  date  of  this  annual 
report  and  as  currently  interpreted,  and  does  not  take  into 
account  possible  changes  in  such  tax  laws  or  interpretations 
thereof, which may apply retroactively. This discussion does 
not  include  any  description  of  the  tax  laws  of  any  state  or 
local  governments  within  the  U.S.,  or  of  any  foreign 
government, that may be applicable to our common shares or 
preferred  shares  or  the  shareholders.  Persons  considering 
making  an  investment  in  the  common  shares  or  preferred 
shares  should  consult  their  own  tax  advisors  concerning  the 
application  of  the  U.S.  federal  tax  laws  to  their  particular 
situations  as  well  as  any  tax  consequences  arising  under  the 
laws of any state, local or foreign taxing jurisdiction prior to 
making such investment.

If an entity that is treated as a partnership holds our common 
shares or preferred shares, the tax treatment of a partner will 
generally  depend  upon  the  status  of  the  partner  and  the 
activities  of  the  partnership.  If  you  are  a  partner  of  a 
partnership  holding  our  common  shares  or  preferred  shares, 
you should consult your tax advisor.

For  purposes  of  this  discussion,  the  term  “U.S.  Person” 
means:

•

•

•

•

•

an individual who is a citizen or resident of the U.S.; 

a corporation or entity treated as a corporation created or 
organized  under  the  laws  of  the  U.S.,  any  state  thereof, 
or the District of Columbia; 

an estate the income of which is subject to U.S. federal 
income taxation regardless of its source; 

a  trust  if  either  (i)  a  court  within  the  U.S.  is  able  to 
exercise  primary  supervision  over  the  administration  of 
such  trust  and  one  or  more  U.S.  persons  have  the 
authority to control all substantial decisions of such trust 
or (ii) the trust has a valid election in effect to be treated 
as a U.S. person for U.S. federal income tax purposes; or 

any other person or entity that is treated for U.S. federal 
income tax purposes as if it were one of the foregoing. 

United  States—Taxation  of  Dividends.  The  preferred  shares 
should  be  properly  classified  as  equity  rather  than  debt  for 
U.S. federal income tax purposes. Subject to the discussions 
below  relating  to  the  potential  application  of  the  controlled 
foreign  corporation  (“CFC”),  “related  person  insurance 
income” (“RPII”) and passive foreign investment companies 
(“PFIC”)  rules,  as  defined  below,  cash  distributions,  if  any, 
made with respect to our common shares or preferred shares 
will  constitute  dividends  for  U.S.  federal  income  tax 
purposes to the extent paid out of our current or accumulated 
earnings and profits (as computed using U.S. tax principles). 
If a U.S. holder of our common shares or our preferred shares 
is  an  individual  or  other  non-corporate  holder,  dividends 
paid,  if  any,  to  that  holder  that  constitute  qualified  dividend 
income  generally  will  be  taxable  at  the  rate  applicable  for 
long-term capital gains (generally up to 20%), provided that 
such person meets a holding period requirement. Generally in 
order to meet the holding period requirement, the U.S. Person 
must hold the common shares for more than 60 days during 
the 121-day period beginning 60 days before the ex-dividend 
date  and  must  hold  preferred  shares  for  more  than  90  days 
during  the  181-day  period  beginning  90  days  before  the  ex-
dividend  date.  Dividends  paid,  if  any,  with  respect  to 
common shares or preferred shares generally will be qualified 
dividend  income,  provided  the  common  shares  or  preferred 
shares are readily tradable on an established securities market 
in the U.S. in the year in which the shareholder receives the 
dividend (which should be the case for shares that are listed 
on  the  NASDAQ  Stock  Market  or  the  New  York  Stock 
Exchange) and Arch Capital is not considered to be a passive 
foreign  investment  company  in  either  the  year  of  the 
distribution  or  the  preceding  taxable  year.  No  assurance  can 
be given that the preferred shares will be considered readily 
tradable  on  an  established  securities  market  in  the  U.S.  See 
“—Taxation of Our U.S. Shareholders” below.

A U.S. holder that is an individual, estate or a trust that does 
not fall into a special class of trusts that is exempt from such 

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2020  FORM 10-K

Table of Contents

tax, will be subject to a 3.8% tax on the lesser of (1) the U.S. 
holder’s  “net  investment  income”  for  the  relevant  taxable 
year and (2) the excess of the U.S. holder’s modified adjusted 
gross  income  for  the  taxable  year  over  a  certain  threshold 
(which  in  the  case  of  individual  will  be  between  $125,000 
and $250,000, depending on the individual’s circumstances). 
A U.S. holder’s net investment income will generally include 
its dividend income and its net gains from the disposition of 
our  common  shares  and  preferred  shares,  unless  such 
dividend  income  or  net  gains  are  derived  in  the  ordinary 
course  of  the  conduct  of  a  trade  or  business  (other  than  a 
trade  or  business  that  consists  of  certain  passive  or  trading 
activities).

Distributions  with  respect  to  the  common  shares  and  the 
preferred  shares  will  not  be  eligible  for  the  dividends 
received  deduction  allowed  to  U.S.  corporations  under  the 
Code. To the extent distributions on our common shares and 
preferred shares exceed our earnings and profits, they will be 
treated  first  as  a  return  of  the  U.S.  holder's  basis  in  our 
common shares and our preferred shares to the extent thereof, 
and then as gain from the sale of a capital asset.

United States—Sale, Exchange or Other Disposition. Subject 
to the discussions below relating to the potential application 
of the CFC, RPII and PFIC rules, holders of common shares 
and preferred shares generally will recognize capital gain or 
loss  for  U.S.  federal  income  tax  purposes  on  the  sale, 
exchange  or  disposition  of  common  shares  or  preferred 
shares, as applicable.

it 

is 

(1) 

United  States—Redemption  of  Preferred  Shares.  A 
redemption  of  the  preferred  shares  will  be  treated  under 
section  302  of  the  Code  as  a  dividend  if  we  have  sufficient 
earnings  and  profits,  unless  the  redemption  satisfies  one  of 
the tests set forth in section 302(b) of the Code enabling the 
redemption to be treated as a sale or exchange, subject to the 
discussion  herein  relating  to  the  potential  application  of  the 
CFC,  RPII  and  PFIC  rules.  Under  the  relevant  Code 
section  302(b)  tests,  the  redemption  should  be  treated  as  a 
sale  or  exchange  only 
substantially 
if 
disproportionate, (2) constitutes a complete termination of the 
holder's  stock  interest  in  us  or  (3)  is  “not  essentially 
equivalent  to  a  dividend.”  In  determining  whether  any  of 
these  tests  are  met,  shares  considered  to  be  owned  by  the 
holder  by  reason  of  certain  constructive  ownership  rules  set 
forth  in  the  Code,  as  well  as  shares  actually  owned,  must 
generally be taken into account. It may be more difficult for a 
U.S.  Person  who  owns,  actually  or  constructively  by 
operation  of  the  attribution  rules,  any  of  our  other  shares  to 
satisfy  any  of  the  above  requirements.  The  determination  as 
to whether any of the alternative tests of section 302(b) of the 
Code  is  satisfied  with  respect  to  a  particular  holder  of  the 
preference shares depends on the facts and circumstances as 
of the time the determination is made.

Taxation of Our U.S. Shareholders

Controlled  Foreign  Corporation  Rules.  We  or  any  of  our 
non-U.S. subsidiaries will be treated as a CFC with respect to 
any taxable year if at any time during such taxable year, one 
or more “10% Shareholders” (as defined below) collectively 
own  more  than  50%  of  us  or  such  non-U.S.  subsidiary  (as 
applicable)  by  vote  or  value  (taking  into  account  shares 
actually  owned  by  such  U.S.  holder  as  well  as  shares 
attributed  to  such  U.S.  holder  under  the  Code  or  the 
regulations  thereunder).  For  taxable  years  beginning  on  or 
before  December  31,  2017,  a  10%  Shareholder  means  any 
shareholder  who  was  considered 
to  own,  actually  or 
constructively,  10%  or  more  of  the  total  combined  voting 
power of our shares or those of our non-U.S. subsidiaries (as 
applicable).  Under  the  Tax  Cuts  Act,  for  taxable  years 
beginning after December 31, 2017, a 10% Shareholder also 
includes any shareholder who is considered to own, actually 
or constructively, 10% or more of the value of our shares or 
those of our non-U.S. subsidiaries (as applicable). As a result, 
for  taxable  years  beginning  after  December  31,  2017,  the 
voting  cut-back  limitation  contained  in  our  bye-laws  that 
limits  the  votes  conferred  by  the  Controlled  Shares  (as 
defined  in  our  bye-laws)  of  any  U.S.  Person  to  9.9%  of  the 
total  voting  power  of  all  our  shares  entitled  to  vote  will  not 
prevent  any  U.S.  holder  from  being  treated  as  a  10% 
Shareholder. Due to the repeal of section 958(b)(4) under the 
Tax Cuts Act, all non-U.S. subsidiaries directly or indirectly 
owned  by  Arch  Capital  are  treated  as  constructively  owned 
by its US subsidiaries, and therefore are treated as CFCs.

Status as a CFC would not cause us or any of our non-U.S. 
subsidiaries  to  be  subject  to  U.S.  federal  income  tax.  Such 
status  also  would  have  no  adverse  U.S.  federal  income  tax 
consequences  for  any  U.S.  holder  that  is  not  a  10% 
Shareholder  with  respect  to  us  or  any  of  such  non-U.S. 
subsidiaries  (as  applicable).  If  we  or  any  of  our  non-U.S. 
subsidiaries  are  or  were  a  CFC  with  respect  to  any  taxable 
year, a U.S. holder that is considered a 10% U.S. Shareholder 
would be subject to current U.S. federal income taxation (at 
ordinary income tax rates) to the extent of all or a portion of 
the undistributed earnings and profits of Arch Capital and our 
subsidiaries  attributable  to  “subpart  F  income”  (including 
certain  insurance  premium  income  and  investment  income) 
or global intangible low-taxed income and may be taxable at 
ordinary income tax rates on any gain recognized on a sale or 
other  disposition  (including  by  way  of  repurchase  or 
liquidation) of our common shares or preferred shares to the 
extent  of  the  current  and  accumulated  earnings  and  profits 
attributable  to  such  common  shares  or  preferred  shares.  For 
taxable  years  beginning  after  December  31,  2017,  a  helpful 
limitation, which provides that a U.S. shareholder would not 
be  subject  to  the  current  inclusion  rules  of  Subpart  F  for  a 
taxable  year  unless  the  non-U.S.  corporation  was  a  CFC  for 
an  uninterrupted  period  of  30  days  or  more  during  such 
taxable year, will no longer apply.

ARCH CAPITAL

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Table of Contents

Related  Person  Insurance  Income  Rules.  Generally,  we  do 
not expect the gross RPII of any of our non-U.S. subsidiaries 
to equal or exceed 20% of its gross insurance income in any 
taxable year for the foreseeable future (the “RPII 20% gross 
income  exception”).  Consequently,  we  do  not  expect  any 
U.S. person owning common shares or preferred shares to be 
required  to  include  in  gross  income  for  U.S.  federal  income 
tax purposes RPII income, but there can be no assurance that 
this will be the case.

Section 953(c)(7) of the Code generally provides that Section 
1248  of  the  Code  (which  generally  would  require  a  U.S. 
holder to treat certain gains attributable to the sale, exchange 
or  disposition  of  common  shares  or  preferred  shares  as  a 
dividend)  will  apply  to  the  sale  or  exchange  by  a  U.S. 
shareholder  of  shares  in  a  foreign  corporation  that  is 
characterized  as  a  CFC  under  the  RPII  rules  if  the  foreign 
corporation  would  be  taxed  as  an  insurance  company  if  it 
were a domestic corporation, regardless of whether the U.S. 
shareholder  is  a  10%  U.S.  Shareholder  or  whether  the 
corporation  qualifies  for  the  RPII  20%  gross  income 
exception.  Although  existing  U.S.  Treasury  Department 
the  question, 
(“Treasury”)  regulations  do  not  address 
proposed  Treasury  regulations  issued  in  April  1991  create 
some  ambiguity  as  to  whether  Section  1248  and  the 
requirement to file Form 5471 would apply when the foreign 
corporation has a foreign insurance subsidiary that is a CFC 
for  RPII  purposes  and  that  would  be  taxed  as  an  insurance 
company  if  it  were  a  domestic  corporation.  We  believe  that 
Section 1248 and the requirement to file Form 5471 will not 
apply  to  a  less  than  10%  U.S.  Shareholder  because  Arch 
Capital  is  not  directly  engaged  in  the  insurance  business. 
There  can  be  no  assurance,  however,  that  the  IRS  will 
interpret  the  proposed  regulations  in  this  manner  or  that  the 
Treasury will not take the position that Section 1248 and the 
requirement  to  file  Form  5471  will  apply  to  dispositions  of 
our common shares or our preferred shares.

If  the  IRS  or  Treasury  were  to  make  Section  1248  and  the 
Form  5471  filing  requirement  applicable  to  the  sale  of  our 
shares, we would notify shareholders that Section 1248 of the 
Code  and  the  requirement  to  file  Form  5471  will  apply  to 
dispositions of our shares. Thereafter, we would send a notice 
after  the  end  of  each  calendar  year  to  all  persons  who  were 
shareholders  during  the  year  notifying  them  that  Section 
1248  and  the  requirement  to  file  Form  5471  apply  to 
dispositions of our shares by U.S. holders. We would attach 
to  this  notice  a  copy  of  Form  5471  completed  with  all  our 
information  and  instructions  for  completing  the  shareholder 
information.

Tax-Exempt  Shareholders.  Tax-exempt  entities  may  be 
required  to  treat  certain  Subpart  F  insurance  income, 
including RPII, that is includible in income by the tax-exempt 
entity  as  unrelated  business  taxable  income.  Prospective 
investors  that  are  tax  exempt  entities  are  urged  to  consult 

their  own  tax  advisors  as  to  the  potential  impact  of  the 
unrelated business taxable income provisions of the Code.

Passive  Foreign  Investment  Companies.  Sections  1291 
through  1298  of  the  Code  contain  special  rules  applicable 
with  respect  to  foreign  corporations  that  are  PFICs.  In 
general, a foreign corporation will be a PFIC if 75% or more 
of its income constitutes “passive income” or 50% or more of 
its  assets  produce  passive  income.  If  we  were  to  be 
characterized  as  a  PFIC,  U.S.  holders  would  be  subject  to  a 
penalty  tax  at  the  time  of  their  sale  of  (or  receipt  of  an 
“excess distribution” with respect to) their common shares or 
preferred  shares.  In  general,  a  shareholder  receives  an 
“excess distribution” if the amount of the distribution is more 
than  125%  of  the  average  distribution  with  respect  to  the 
shares  during  the  three  preceding  taxable  years  (or  shorter 
period during which the taxpayer held the stock). In general, 
the  penalty  tax  is  equivalent  to  an  interest  charge  on  taxes 
that are deemed due during the period the shareholder owned 
the shares, computed by assuming that the excess distribution 
or gain (in the case of a sale) with respect to the shares was 
taxable  in  equal  portions  throughout  the  holder’s  period  of 
ownership. The interest charge is equal to the applicable rate 
imposed  on  underpayments  of  U.S.  federal  income  tax  for 
such  period.  A  U.S.  shareholder  may  avoid  some  of  the 
adverse  tax  consequences  of  owning  shares  in  a  PFIC  by 
making  a  qualified  electing  fund  (“QEF”)  election.  A  QEF 
election is revocable only with the consent of the IRS and has 
the following consequences to a shareholder:

•

•

For  any  year  in  which  Arch  Capital  is  not  a  PFIC,  no 
income tax consequences would result. 

For  any  year  in  which  Arch  Capital  is  a  PFIC,  the 
shareholder  would  include  in  its  taxable  income  a 
proportionate  share  of  the  net  ordinary  income  and  net 
capital gains of Arch Capital and certain of its non-U.S. 
subsidiaries.

For taxable years beginning on or before December 31, 2017, 
the  determination  of  whether  the  active  insurance  company 
exception  applies  to  an  insurance  company  was  made  on  a 
case-by-case basis and the analysis was inherently subjective. 
Under  the  Tax  Cuts  Act,  for  taxable  years  beginning  after 
December 31, 2017, the active insurance company exception 
applies  only  if  (i)  the  company  would  be  taxed  as  an 
insurance company were it a U.S. corporation and (ii) either 
(A)  loss  and  loss  adjustment  expense  and  certain  reserves 
constitute  more  than  25%  of  the  company’s  gross  assets  for 
the  relevant  year  or  (B)  loss  and  loss  adjustment  expenses 
and  certain  reserves  constitute  more  than  10%  of  the 
company’s  gross  assets  for  the  relevant  year  and,  based  on 
the  applicable  facts  and  circumstances,  the  company  is 
predominantly  engaged  in  an  insurance  business  and  the 
failure  of  the  company  to  satisfy  the  preceding  25%  test  is 
due solely to run-off related or other specified circumstances 

ARCH CAPITAL

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2020  FORM 10-K

FATCA  Withholding.  Sections  1471  through  1474  to  the 
Code,  known  as  the  Foreign  Account  Tax  Compliance  Act 
(“FATCA”),  impose  a  withholding  tax  of  30%  on  U.S.-
source interest, dividends and certain other types of income, 
which  is  received  by  a  foreign  financial  institution  (“FFI”), 
unless  such  FFI  enters  into  an  agreement  with  the  IRS  to 
obtain certain information as to the identity of the direct and 
indirect owners of accounts in such institution. In addition, a 
30% withholding tax may be imposed on the above payments 
to  certain  non-financial  foreign  entities  which  do  not  (i) 
certify to each respective withholding agent that they have no 
“substantial U.S. owners” (i.e., a U.S. 10% direct or indirect 
shareholder), or (ii) provide such withholding agent with the 
certain information as to the identity of such substantial U.S. 
intergovernmental 
owners.  The  U.S.  has  entered 
agreements to implement FATCA (“IGAs”) with a number of 
jurisdictions.  Bermuda  has  signed  an  IGA  with  the  U.S. 
Different  rules  than  those  described  above  may  apply  under 
such an IGA.

into 

Although  dividends  with  respect  to  our  common  shares  or 
preferred  shares  will  generally  be  treated  as  foreign  source 
for  U.S.  federal  withholding  tax  purposes,  it  is  unclear 
whether, for FATCA purposes, some or all of our dividends 
may  be  recharacterized  as  U.S.  source  dividends.  Treasury 
regulations addressing this topic have not yet been issued.

Prospective  investors  are  urged  to  consult  their  own  tax 
advisors  as  to  the  filing  and  information  requirements  that 
may be imposed on them in respect of their ownership of our 
common share or preferred shares.

Other  Tax  Laws.  Shareholders  should  consult  their  own  tax 
advisors  with  respect  to  the  applicability  to  them  of  the  tax 
laws of other jurisdictions.

Table of Contents

the 

involving 
insurance  business.  The  PFIC  statutory 
provisions  contain  a  look-through  rule  that  states  that,  for 
purposes  of  determining  whether  a  foreign  corporation  is  a 
PFIC,  such  foreign  corporation  shall  be  treated  as  if  it 
“received directly its proportionate share of the income” and 
as if it “held its proportionate share of the assets” of any other 
corporation  in  which  it  owns  at  least  25%  of  the  stock.  We 
believe  that  we  were  not  a  PFIC  for  any  taxable  year 
beginning  on  or  before  December  31,  2017,  or  any 
subsequent  taxable  year  ending  on  or  before  December  31, 
2020, and we currently are not expecting to become a PFIC 
for  any  subsequent  taxable  year.  However,  due  to  the 
complexity and uncertainty of the PFIC rules and the limited 
guidance interpreting them, there can be no assurance that we 
have  not  been  a  PFIC  to  date  or  that  we  will  not  become  a 
PFIC at some time in the future.

the  IRS 

On  December  4,  2020, 
issued  certain  final 
regulations (the “2020 final PFIC insurance regulations”) and 
revised  proposed  regulations  (the  “2020  proposed  PFIC 
insurance  regulations”)  regarding  the  application  of  the 
insurance  company  exception.  While  we  believe  that  the 
2020 final PFIC insurance regulations and the 2020 proposed 
PFIC  insurance  regulations  should  not  adversely  impact  the 
our  ability  to  satisfy  the  insurance  company  exception  and 
avoid being treated as a PFIC, there can be no assurance that 
such  exception  will  in  fact  apply  and/or  will  continue  to 
apply  at  all  times  in  the  future.  Each  U.S.  holder  should 
consult its own tax advisor as to the effects of these rules.

United States Taxation of Non-U.S. Shareholders

Taxation of Dividends. Cash distributions, if any, made with 
respect  to  common  shares  or  preferred  shares  held  by 
shareholders who are not U.S. Persons (“Non-U.S. holders”) 
generally will not be subject to U.S. withholding tax.

Sale,  Exchange  or  Other  Disposition.  Non-U.S.  holders  of 
common  shares  or  preferred  shares  generally  will  not  be 
subject  to  U.S.  federal  income  tax  with  respect  to  gain 
realized upon the sale, exchange or other disposition of such 
shares  unless  such  gain  is  effectively  connected  with  a  U.S. 
trade or business of the Non-U.S. holder in the U.S. or such 
person  is  present  in  the  U.S.  for  183  days  or  more  in  the 
taxable  year 
is  realized  and  certain  other 
the  gain 
requirements are satisfied.

Information  Reporting  and  Backup  Withholding.  Non-U.S. 
holders  of  common  shares  or  preferred  shares  will  not  be 
subject to U.S. information reporting or backup withholding 
with  respect  to  dispositions  of  common  shares  effected 
through a non-U.S. office of a broker, unless the broker has 
certain connections to the U.S. or is a U.S. person. No U.S. 
backup  withholding  will  apply  to  payments  of  dividends,  if 
any, on our common shares or our preferred shares.

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Table of Contents

ITEM 1A. RISK FACTORS

Set  forth  below  are  risk  factors  relating  to  our  business. 
These  risks  and  uncertainties  are  not  the  only  ones  we  face. 
There may be additional risks that we currently consider not 
to  be  material  or  of  which  we  are  not  currently  aware,  and 
any  of  these  risks  could  cause  our  actual  results  to  differ 
materially  from  historical  or  anticipated  results.  You  should 
the  other 
carefully  consider 
information  provided 
including  our 
“Management’s  Discussion  and  Analysis  of  Financial 
Condition and Results of Operations” and our accompanying 
consolidated financial statements, as well as the information 
under  the  heading  “Cautionary  Note  Regarding  Forward-
Looking  Statements”  before 
in  any  of  our 
securities.  We  may  amend,  supplement  or  add  to  the  risk 
factors  described  below  from  time  to  time  in  future  reports 
filed with the SEC.

risks  along  with 
report, 
this 

these 
in 

investing 

Risks Relating to Our Industry, Business and Operations

We operate in a highly competitive environment, and we may 
not be able to compete successfully in our industry.

The insurance and reinsurance industry is highly competitive. 
We  compete  on  an  international  and  regional  basis  with 
major  U.S.  and  non-U.S.  insurers  and  reinsurers,  many  of 
which  have  greater  financial,  marketing  and  management 
resources than we do. See “Competition” in Item 1 for details 
on our competitors in each of the major segments we operate 
in. There has been significant consolidation in the insurance 
and reinsurance sector in recent years and we may experience 
increased  competition  as  a  result  of  that  consolidation,  with 
consolidated  entities  having  enhanced  market  power.  These 
consolidated  entities  may  use  their  enhanced  market  power 
and  broader  capital  base  to  negotiate  price  reductions  for 
products  and  services  that  compete  with  ours,  and  we  may 
experience  rate  declines  and  possibly  write  less  business. 
Any  failure  by  us  to  effectively  compete  could  adversely 
affect our financial condition and results of operations.

The  insurance  and  reinsurance  industry  is  highly  cyclical, 
and  we  may  at  times  experience  periods  characterized  by 
excess  underwriting  capacity  and  unfavorable  premium 
rates.

fluctuations 

results  due 

in  operating 

insurers  and  reinsurers  have  experienced 
Historically, 
to 
significant 
competition, 
frequency  of  occurrence  or  severity  of 
catastrophic  events,  levels  of  capacity,  general  economic 
conditions,  changes  in  equity,  debt  and  other  investment 
markets,  changes  in  legislation,  case  law  and  prevailing 
concepts  of 
liability  and  other  factors.  Demand  for 
reinsurance  is  influenced  significantly  by  the  underwriting 

results  of  primary  insurers  and  prevailing  general  economic 
conditions. The supply of insurance and reinsurance is related 
to  prevailing  prices  and  levels  of  surplus  capacity  that,  in 
turn,  may  fluctuate  in  response  to  changes  in  rates  of  return 
being  realized  in  the  insurance  and  reinsurance  industry  on 
both  underwriting  and  investment  sides.  As  a  result,  the 
insurance  and  reinsurance  business  historically  has  been  a 
cyclical  industry  characterized  by  periods  of  intense  price 
competition due to excessive underwriting capacity as well as 
periods  when  shortages  of  capacity  permitted  favorable 
premium  levels  and  changes  in  terms  and  conditions.  Until 
recently,  the  supply  of  insurance  and  reinsurance  had 
increased  over  the  past  several  years,  and  may  again  in  the 
future, either as a result of capital provided by new entrants 
or  by  the  commitment  of  additional  capital  by  existing 
insurers  or  reinsurers.  Continued  increases  in  the  supply  of 
insurance  and  reinsurance  may  have  consequences  for  us, 
including  fewer  contracts  written,  lower  premium  rates, 
increased  expenses  for  customer  acquisition  and  retention, 
and less favorable policy terms and conditions.

Claims for natural and man-made catastrophic events could 
cause large losses and substantial volatility in our results of 
operations  and  could  have  a  material  adverse  effect  on  our 
financial position and results of operations.

activity, 

including  hurricanes, 

We have large aggregate exposures to natural and man-made 
catastrophic  events.  Natural  catastrophes  can  be  caused  by 
various  events, 
including  hurricanes,  floods,  wildfires, 
tsunamis,  windstorms,  earthquakes,  hailstorms,  tornadoes, 
explosions,  severe  winter  weather,  fires,  droughts  and  other 
natural  disasters.  The  frequency  and  severity  of  natural 
catastrophe 
tsunamis, 
tornadoes,  floods  and  droughts,  has  also  been  greater  in 
recent years. Man-made catastrophic events may include acts 
of war, acts of terrorism and political instability. Catastrophes 
can  also  cause  losses  in  non-property  business  such  as 
workers’ compensation or general liability. In addition to the 
nature of the property business, we believe that economic and 
geographic  trends  affecting  insured  property,  including 
inflation,  property  value  appreciation  and  geographic 
concentration  tend  to  generally  increase  the  size  of  losses 
from catastrophic events over time. Actual losses from future 
catastrophic  events  may  vary  materially  from  estimates  due 
to  the  inherent  uncertainties  in  making  such  determinations 
resulting  from  several  factors, 
the  potential 
inaccuracies and inadequacies in the data provided by clients, 
brokers and ceding companies, the modeling techniques and 
the  application  of  such  techniques,  the  contingent  nature  of 
business  interruption  exposures,  the  effects  of  any  resultant 
demand  surge  on  claims  activity  and  attendant  coverage 
issues.

including 

The  impact  of  the  COVID-19  pandemic  and  related  risks 
could  materially  affect  our  results  of  operations,  financial 
position and/or liquidity. 

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future 

results  of  operations  and 

The COVID-19 pandemic has resulted in a global slowdown 
of economic activity, and the magnitude of the impact of the 
pandemic  and  the  duration  of  the  disruption  and  resulting 
decline  in  business  activity  is  still  highly  uncertain.  A 
prolonged  COVID-19  pandemic  could  materially  and 
adversely impact our own employees and operations, as well 
as  the  business  operations  of  third  parties  with  whom  we 
interact.  The  COVID-19  pandemic  has  impacted  our  results 
of  operations  and  could  have  a  significant  effect  on  our 
financial 
business, 
performance.  We  may  experience  higher  levels  of  loss  and 
claims activity in certain lines of business, and our premiums 
written  and  earned  could  also  be  adversely  affected  by  a 
suppression  of  global  commercial  activity  that  results  in  a 
reduction  in  insurable  assets  and  other  exposure.  Conditions 
of  the  financial  markets  resulting  from  the  virus  may  also 
have a negative effect on the performance of our investment 
portfolio. Certain lines of our business may require additional 
forms of collateral in the event of a decline in the fair value 
of  securities  and  benchmarks  to  which  those  repayment 
mechanisms  are  linked.  The  impact  of  the  pandemic  on  the 
financial  markets  may  also  adversely  affect  our  ability  to 
fund  through  public  or  private  equity  offerings,  debt 
financings, and through other means at acceptable terms. 

Governmental,  regulatory  and  rating  actions  in  response  to 
the  COVID-19  pandemic  may  adversely  affect  our  financial 
performance and our ability to conduct our businesses as we 
have in the past.

that  seeks 

Actions of the federal, state and local government in the U.S. 
and  other  countries  where  we  do  business,  to  address  and 
mitigate  the  impact  of  COVID-19,  may  adversely  affect  us. 
For  example,  we  are  potentially  subject  to  legislative  and/or 
regulatory  action 
to  retroactively  mandate 
coverage  for  losses  which  our  insurance  policies  were  not 
designed or priced to cover. There is proposed legislation in 
some states to require insurers to cover business interruption 
claims retroactively irrespective of terms, exclusions or other 
conditions  included  in  the  policies  that  would  otherwise 
preclude  coverage.  Some  proposed  bills  would  require 
policies  providing  business  interruption  coverage  to  cover 
losses  prospectively  for  pandemic-related  losses.  Insurance 
regulators  in  some  states  will  not  approve  policy  exclusions 
for  losses  from  COVID-19,  viruses  or  pandemics.  In 
addition, a number of states have instituted, and other states 
are  considering  instituting,  changes  designed  to  effectively 
expand  workers'  compensation  coverage  by  creating 
presumptions of compensability of claims for certain types of 
workers.  Regulatory  restrictions  or  requirements  could  also 
impact  pricing,  risk  selection  and  our  rights  and  obligations 
with  respect  to  our  policies  and  insureds,  including  our 
ability  to  cancel  policies,  our  ability  to  increase  rates  or  our 
right to collect premiums. Some state regulators have issued 
orders  to  review  insurers’  rates  to  determine  whether 

premium  refunds  are  required,  and  regulators  in  other  states 
could take similar actions. Many insurers, including us, have 
also voluntarily provided, and may further provide, premium 
refunds to their customers. It is also possible that changes in 
economic  conditions  and  steps  taken  by  federal,  state  and 
local governments in response to COVID-19 could require an 
increase in taxes at the federal, state and local levels, which 
would adversely impact our results of operations. 

We  expect  that  certain  mortgage  loans  may  default  or  enter 
forbearance programs that allow borrowers to defer mortgage 
payments as borrowers face challenges related to COVID-19. 
Defaults  related  to  the  pandemic,  if  not  cured,  could  remain 
in our defaulted loan inventory for a protracted period of time 
including  due  to  foreclosure  moratoria,  potentially  resulting 
in higher frequency (claim rate) and severity (amount of the 
claim)  for  those  loans  that  ultimately  result  in  a  claim. 
Accordingly,  extended  or  extensive  forbearance  programs, 
foreclosure  moratoria  and  other  changes  in  regulations  or 
laws  may  adversely 
insurance 
operations.

impact  our  mortgage 

the 

the  applicability  of 

Under  the  GSEs’  PMIERs  financial  requirements,  eligible 
insurers  are  required  to  hold  additional  risk-based  required 
assets  for  delinquent  mortgages.  However,  this  amount  is 
reduced  for  mortgages  backed  by  a  property  located  in  a 
FEMA  Declared  Major  Disaster  Area,  among  other 
requirements.  On  June  30,  2020,  as  amended  on  September 
29,  2020,  and  December  4,  2020,  the  GSEs  published 
guidance  clarifying 
reduced 
delinquent  loan  charges  on  loans  with  their  first  missed 
payments  occurring  between  March  1,  2020  and  March  31, 
2021  in  response  to  a  hardship  related  to  COVID-19. 
Additionally,  through  June  30,  2021,  the  GSEs  have 
temporarily required eligible insurers to obtain prior approval 
of  dividends  or  entering  into  any  new  arrangements  or 
altering  any  existing  arrangements  under  tax  sharing  and 
intercompany  expense-sharing  agreements.  In  addition,  the 
rating  agencies  continually  review  the  financial  strength 
ratings assigned to the Company and its subsidiaries, and the 
ratings are subject to change. The COVID-19 pandemic and 
its impact on financial results and condition, could cause one 
or  more  of  the  rating  agencies  to  downgrade  the  ratings 
assigned to the Company and its subsidiaries. We expect the 
pandemic  to  result  in  a  material  increase  in  new  defaults  as 
borrowers fail to make timely payments on their mortgages, 
including  as  a  result  of  increases  in  unemployment  and 
that  allow 
entering  mortgage 
borrowers  to  defer  mortgage  payments,  which  may  have  an 
adverse  impact  on  our  results  or  operations.  In  addition, 
defaults related to the pandemic, if not cured, could remain in 
our  defaulted  loan  inventory  for  a  protracted  period  of  time 
including  due  to  foreclosure  moratoria,  potentially  resulting 
in higher frequency (claim rate) and severity (amount of the 
claim)  for  those  loans  that  ultimately  result  in  a  claim. 
Accordingly,  extended  or  extensive  forbearance  programs, 

forbearance  programs 

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foreclosure  moratoria  and  other  changes  in  regulations  or 
laws may adversely impact our mortgage insurance segment.

Climate change, as well as increasing regulation in the area 
of  climate  change,  may  adversely  affect  our  business, 
financial condition and results of operations.

Changing  weather  patterns  and  climatic  conditions,  such  as 
global  warming,  have  added  to  the  unpredictability  and 
frequency  of  natural  disasters  in  certain  parts  of  the  world 
and  created  additional  uncertainty  as  to  future  trends  and 
exposures.  Although  the  loss  experience  of  catastrophe 
insurers and reinsurers has historically been characterized as 
low  frequency,  there  is  a  growing  consensus  today  that 
climate  change  increases  the  frequency  and  severity  of 
extreme weather events and, in recent years, the frequency of 
major  catastrophes  appears  to  have  increased,  and  may 
continue to increase in the future. 

Claims  for  catastrophic  events,  or  an  unusual  frequency  of 
smaller losses in a particular period, could expose us to large 
losses, cause substantial volatility in our results of operations 
and  could  have  a  material  adverse  effect  on  our  ability  to 
write  new  business  if  we  are  not  able  to  adequately  assess 
and  reserve  for  the  increased  frequency  and  severity  of 
catastrophes  resulting  from  these  environmental  factors. 
Additionally,  catastrophic  events  could  result  in  increased 
credit  exposure  to  reinsurers  and  other  counterparties  we 
transact  business  with,  declines  in  the  value  of  investments 
we  hold  and  significant  disruptions 
to  our  physical 
infrastructure,  systems  and  operations.  Climate  change-
related risks may also specifically adversely impact the value 
of the securities that we hold. The effects of climate change 
could also lead to increased credit risk of other counterparties 
we transact business with, including reinsurers.

income, 

Changes in security asset prices may impact the value of our 
fixed 
real  estate  and  commercial  mortgage 
investments, resulting in realized or unrealized losses on our 
invested  assets.  These  risks  are  not  limited  to,  but  can 
include:  (i)  changes  in  supply/demand  characteristics  for 
fossil fuels (e.g., coal, oil, natural gas); (ii) advances in low-
carbon  technology  and  renewable  energy  development;  and 
(iii)  effects  of  extreme  weather  events  on  the  physical  and 
operational  exposure  of  industries  and  issuers,  and  the 
transition  that  these  companies  make  towards  addressing 
climate risk in their own businesses. 

However,  we  cannot  predict  how  legal,  regulatory  and/or 
social  responses  to  concerns  around  global  climate  change 
may  impact  our  business.  We  attempt  to  manage  our 
exposure  to  such  events  through  the  use  of  underwriting 
controls,  risk  models,  and  the  purchase  of  third-party 
reinsurance.  Underwriting  controls  can 
include  more 
restrictive underwriting criteria such as higher premiums and 
losses  retained,  and  more  specifically 
deductibles,  or 

excluded  policy  risks.  Our  deductible  in  connection  with  a 
catastrophic event is determined by market capacity, pricing 
conditions  and  surplus  preservation.  There  can  be  no 
assurance  that  our  reinsurance  coverage  and  other  measures 
taken will be sufficient to mitigate losses resulting from one 
or  more  catastrophic  events.  As  a  result,  the  occurrence  of 
one  or  more  catastrophic  events  and  the  continuation  and 
worsening  of  recent  trends  could  have  an  adverse  effect  on 
our results of operations and financial condition.

Environmental,  Social  and  Governance  and  sustainability 
have  become  major  topics  that  encompass  a  wide  range  of 
issues,  including  climate  change  and  other  environmental 
risks.  We  are  also  subject  to  complex  and  changing  laws, 
regulation  and  public  policy  debates  relating  to  climate 
change  which  are  difficult  to  predict  and  quantify  and  may 
have  an  adverse  impact  on  our  business.  Changes  in 
regulations relating to climate change or our own leadership 
decisions implemented as a result of assessing the impact of 
climate  change  on  our  business  may  result  in  an  increase  in 
the  cost  of  doing  business  or  a  decrease  in  premiums  in 
certain lines of business.

We  could  face  unanticipated  losses  from  war,  terrorism, 
cyber-attacks,  pandemics  and  political  instability,  and  these 
or other unanticipated losses could have a material adverse 
effect on our financial condition and results of operations.

We  have  substantial  exposure  to  unexpected,  large  losses 
resulting from future man-made catastrophic events, such as 
acts  of  war,  acts  of  terrorism,  pandemics  similar  to  the 
COVID-19 pandemic and political instability. These risks are 
inherently unpredictable. It is difficult to predict the timing of 
such  events  with  statistical  certainty  or  estimate  the  amount 
of  loss  any  given  occurrence  will  generate.  In  certain 
instances,  we  specifically  insure  and  reinsure  risks  resulting 
from  acts  of  terrorism.  We  may  also  insure  against  risk 
related  to  cybersecurity  and  cyber-attacks.  In  addition,  our 
exposure to cyber-attacks includes exposure to ‘silent cyber’ 
risks,  meaning  risks  and  potential  losses  associated  with 
policies  where  cyber  risk  is  not  specifically  included  nor 
excluded in the policies. Even in cases where we attempt to 
exclude losses from terrorism, cybersecurity and certain other 
similar risks from some coverages written by us, we may not 
be  successful  in  doing  so.  Moreover,  irrespective  of  the 
clarity and inclusiveness of policy language, there can be no 
assurance  that  a  court  or  arbitration  panel  will  not  limit 
enforceability of policy language or otherwise issue a ruling 
adverse to us. Accordingly, while we believe our reinsurance 
programs,  together  with  the  coverage  provided  under  the 
Terrorism Risk Insurance Act of 2002, as amended (“TRIP”) 
are  sufficient  to  reasonably  limit  our  net  losses  relating  to 
potential  future  terrorist  attacks,  we  can  offer  no  assurance 
that  our  available  capital  will  be  adequate  to  cover  losses 
when they materialize. To the extent that an act of terrorism 
is  certified  by  the  Secretary  of  the  Treasury  and  aggregate 

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industry  insured  losses  resulting  from  the  act  of  terrorism 
exceeds  the  prescribed  program  trigger,  our  U.S.  insurance 
operations may be covered under TRIP for up to 80% subject 
to  a  mandatory  deductible  of  20%  of  our  prior  year’s  direct 
earned premium for covered property and liability coverages. 
The program trigger for calendar year 2020 and any program 
year thereafter is $200 million. If an act (or acts) of terrorism 
result  in  covered  losses  exceeding  the  $100  billion  annual 
limit, insurers with losses exceeding their deductibles will not 
be  responsible  for  additional  losses.  It  is  not  possible  to 
completely  eliminate  our  exposure 
to  unforecasted  or 
unpredictable events, and to the extent that losses from such 
risks occur, our financial condition and results of operations 
could be materially adversely affected.

Underwriting  risks  and  reserving  for  losses  are  based  on 
probabilities  and  related  modeling,  which  are  subject  to 
inherent uncertainties.

Our  success  is  dependent  upon  our  ability  to  assess 
accurately  the  risks  associated  with  the  businesses  that  we 
insure and reinsure. We establish reserves for losses and loss 
adjustment  expenses  which  represent  estimates  based  on 
actuarial  and  statistical  projections,  at  a  given  point  in  time, 
of  our  expectations  of  the  ultimate  future  settlement  and 
administration  costs  of  losses  incurred.  We  utilize  actuarial 
models as well as available historical insurance industry loss 
ratio experience and loss development patterns to assist in the 
establishment of loss reserves. Most or all of these factors are 
not  directly  quantifiable,  particularly  on  a  prospective  basis, 
and  the  effects  of  these  and  unforeseen  factors  could 
negatively impact our ability to accurately assess the risks of 
the  policies  that  we  write.  Changes  in  the  assumptions  used 
by these models or by management could lead to an increase 
in  our  estimate  of  ultimate  losses  in  the  future.  In  addition, 
the 
there  may  be  significant  reporting 
occurrence of the insured event and the time it is reported to 
the insurer and additional lags between the time of reporting 
and final settlement of claims. In addition, the estimation of 
loss  reserves  is  more  difficult  during  times  of  adverse 
economic  and  market  conditions  due  to  unexpected  changes 
in  behavior  of  claimants  and  policyholders,  including  an 
increase  in  fraudulent  reporting  of  exposures  and/or  losses, 
reduced  maintenance  of  insured  properties  or  increased 
frequency  of  small  claims.  Changes  in  the  level  of  inflation 
also  result  in  an  increased  level  of  uncertainty  in  our 
estimation of loss reserves. As a result, actual losses and loss 
adjustment  expenses  paid  can  deviate,  perhaps  substantially, 
from 
in  our  financial 
statements.

the  reserve  estimates  reflected 

lags  between 

If our loss reserves are determined to be inadequate, we will 
be  required  to  increase  loss  reserves  at  the  time  of  such 
determination  with  a  corresponding  reduction  in  our  net 
income in the period when the deficiency becomes known. It 
is possible that claims in respect of events that have occurred 

could exceed our claim reserves and have a material adverse 
effect  on  our  results  of  operations,  in  a  particular  period,  or 
our financial condition in general. As a compounding factor, 
although  most  insurance  contracts  have  policy  limits,  the 
nature of property and casualty insurance and reinsurance is 
such  that  losses  and  the  associated  expenses  can  exceed 
policy limits for a variety of reasons and could significantly 
exceed  the  premiums  received  on  the  underlying  policies, 
thereby further adversely affecting our financial condition.

As  of  December  31,  2020,  our  consolidated  reserves  for 
unpaid  losses  and  loss  adjustment  expenses,  net  of  unpaid 
losses  and  loss  adjustment  expenses  recoverable,  were 
approximately  $12.2  billion.  Such  reserves  were  established 
in  accordance  with  applicable  insurance  laws  and  GAAP. 
Loss  reserves  are  inherently  subject  to  uncertainty.  In 
establishing  the  reserves  for  losses  and  loss  adjustment 
expenses, we have made various assumptions relating to the 
pricing  of  our  reinsurance  contracts  and  insurance  policies 
and  have  also  considered  available  historical 
industry 
experience  and  current  industry  conditions.  Any  estimates 
and assumptions made as part of the reserving process could 
prove  to  be  inaccurate  due  to  several  factors,  including  the 
fact  that  for  certain  lines  of  business  relatively  limited 
historical  information  has  been  reported  to  us  through 
December 31, 2020.

The  failure  of  any  of  the  loss  limitation  methods  we  employ 
could  have  a  material  adverse  effect  on  our  financial 
condition or results of operations.

the  maximum 

We  seek  to  limit  our  loss  exposure  by  writing  a  number  of 
our reinsurance contracts on an excess of loss basis, adhering 
to  maximum  limitations  on  reinsurance  written  in  defined 
geographical zones, limiting program size for each client and 
prudent underwriting of each program written. In the case of 
proportional treaties, we may seek per occurrence limitations 
or loss ratio caps to limit the impact of losses from any one or 
series of events. In our insurance operations, we seek to limit 
our  exposure  through  the  purchase  of  reinsurance.  For  our 
U.S.  mortgage  insurance  business,  in  addition  to  utilizing 
reinsurance, we have developed a proprietary risk model that 
simulates 
loss  resulting  from  a  severe 
economic event impacting the housing market. We also seek 
to  limit  our  loss  exposure  by  geographic  diversification. 
Geographic zone limitations involve significant underwriting 
judgments,  including  the  determination  of  the  area  of  the 
zones  and  the  inclusion  of  a  particular  policy  within  a 
particular  zone’s  limits.  Various  provisions  of  our  policies, 
negotiated to limit our risk, such as limitations or exclusions 
from coverage or choice of forum, may not be enforceable in 
the  manner  we  intend,  as  it  is  possible  that  a  court  or 
regulatory  authority  could  nullify  or  void  an  exclusion  or 
limitation,  or  legislation  could  be  enacted  modifying  or 
barring the use of these exclusions and limitations. Disputes 
relating to coverage and choice of legal forum may also arise. 

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Underwriting  is  inherently  a  matter  of  judgment,  involving 
important  assumptions  about  matters  that  are  inherently 
unpredictable  and  beyond  our  control,  and  for  which 
historical  experience  and  probability  analysis  may  not 
provide sufficient guidance. One or more catastrophic events 
or  severe  economic  events  could  result  in  claims  that 
substantially  exceed  our  expectations,  or  the  protections  set 
forth  in  our  policies  could  be  voided,  which,  in  either  case, 
could  have  a  material  adverse  effect  on  our  financial 
condition  or  our  results  of  operations,  possibly  to  the  extent 
of  eliminating  our  shareholders’  equity.  In  addition,  factors 
such  as  global  climate  change  limit  the  value  of  historical 
experience and therefore further limit the effectiveness of our 
loss limitation methods. See “Catastrophic Events and Severe 
Economic Events” in Item 7 for further details. Depending on 
business  opportunities  and  the  mix  of  business  that  may 
comprise our insurance, reinsurance and mortgage insurance 
portfolio, we may seek to adjust our self-imposed limitations 
on  probable  maximum  pre-tax  loss  for  catastrophe  exposed 
business and mortgage default exposed business.

The availability of reinsurance, retrocessional coverage and 
capital market transactions to limit our exposure to risks may 
be limited, and counterparty credit and other risks associated 
with  our  reinsurance  arrangements  may  result  in  losses 
which  could  adversely  affect  our  financial  condition  and 
results of operations.

In 

addition,  our 

We  manage  risk  using  reinsurance,  retrocessional  coverage 
and  capital  markets  transactions.  Our  insurance  subsidiaries 
typically  cede  a  portion  of  their  premiums  through  pro  rata, 
excess  of  loss  and  facultative  reinsurance  agreements.  Our 
reinsurance  subsidiaries  purchase  a  limited  amount  of 
retrocessional  coverage  as  part  of  their  aggregate  risk 
management  program. 
reinsurance 
subsidiaries  participate  in  “common  account”  retrocessional 
arrangements for certain pro rata treaties. Such arrangements 
reduce  the  effect  of  individual  or  aggregate  losses  to  all 
companies  participating  on  such  treaties,  including  the 
reinsurers,  such  as  our  reinsurance  subsidiaries,  and  the 
ceding  company.  Economic  conditions  could  also  have  a 
material 
to  manage  our  risk 
aggregations 
reinsurance  or  capital  markets 
transactions.  The  availability  and  cost  of  reinsurance  and 
retrocessional protection is subject to market conditions. As a 
result  of  these  factors,  we  may  not  be  able  to  successfully 
mitigate 
retrocessional 
risk 
arrangements.

impact  on  our  ability 

reinsurance  and 

through 

through 

Further,  we  are  subject  to  credit  risk  with  respect  to  our 
reinsurance  and  retrocessions  because  the  ceding  of  risk  to 
reinsurers  and  retrocessionaires  does  not  relieve  us  of  our 
liability to the clients or companies we insure or reinsure. We 
monitor the financial condition of our reinsurers and attempt 
to place coverages only with carriers we view as substantial 
and  financially  sound.  An  inability  of  our  reinsurers  or 

retrocessionaires to meet their obligations to us could have a 
material adverse effect on our financial condition and results 
of operations. Our losses for a given event or occurrence may 
increase  if  our  reinsurers  or  retrocessionaires  dispute  or  fail 
to  meet  their  obligations  to  us  or  the  reinsurance  or 
retrocessional  protections  purchased  by  us  are  exhausted  or 
are otherwise unavailable for any reason. In certain instances, 
we  also  require  collateral  to  mitigate  our  credit  risk  to  our 
reinsurers  or  retrocessionaires.  We  are  at  risk  that  losses 
could exceed the collateral we have obtained. Our failure to 
establish adequate reinsurance or retrocessional arrangements 
or  the  failure  of  our  existing  reinsurance  or  retrocessional 
arrangements  to  protect  us  from  overly  concentrated  risk 
exposure  could  adversely  affect  our  financial  condition  and 
results of operations.

We  could  be  materially  adversely  affected  to  the  extent  that 
important  third  parties  with  whom  we  do  business  do  not 
adequately  or  appropriately  manage  their  risks,  commit 
fraud or otherwise breach obligations owed to us. 

For  certain  lines  of  our  insurance  business,  we  authorize 
managing general agents, general agents and other producers 
to  write  business  on  our  behalf  within  underwriting 
authorities prescribed by us. In addition, our mortgage group 
delegates  the  underwriting  of  a  significant  percentage  of  its 
primary  new  insurance  written  to  certain  mortgage  lenders. 
Under  this  delegated  underwriting  program,  the  approved 
customer  may  determine  whether  mortgage  loans  meet  our 
mortgage  insurance  program  guidelines  and  commit  us  to 
issue  mortgage  insurance.  We  rely  on  the  underwriting 
controls  of  these  agents  to  write  business  within  the 
underwriting  authorities  provided  by  us.  Although  we  have 
contractual  protections  in  some  instances  and  we  monitor 
such  business  on  an  ongoing  basis,  our  monitoring  efforts 
may  not  be  adequate  or  our  agents  may  exceed  their 
underwriting  authorities  or  otherwise  breach  obligations 
owed  to  us.  In  addition,  our  agents,  our  insureds  or  other 
third  parties  may  commit  fraud  or  otherwise  breach  their 
obligations  to  us.  Our  financial  condition  and  results  of 
operations could be materially adversely affected by any one 
of these issues.

While  we  conduct  underwriting,  financial,  claims  and 
information  technology  due  diligence  reviews  and  apply 
rigorous  standards  in  the  selection  of  these  counterparties, 
there  is  no  assurance  they  have  provided  us  accurate  or 
complete  information  to  assess  their  risk  or  that  they  can 
manage effectively their own risks. Consequently, we assume 
a degree of credit and operational risk of those parties, and a 
material failure of their risks may result in material losses or 
damage to us. 

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Emerging  claim  and  coverage  issues,  including  issues 
relating  to  the  COVID-19  pandemic,  may  adversely  affect 
our business. 

legal, 

industry  practices  and 

As 
social  and  other 
environmental conditions change, unexpected and unintended 
issues related to claims and coverage may emerge, including 
new or expanded theories of liability. These or other changes 
could  impose  new  financial  obligations  on  us  by  extending 
coverage beyond our underwriting intent or otherwise require 
us  to  make  unplanned  modifications  to  the  products  and 
services that we provide, or cause the delay or cancellation of 
products  and  services  that  we  provide.  In  some  instances, 
these changes may not become apparent until sometime after 
we  have  issued  insurance  or  reinsurance  contracts  that  are 
affected by the changes. As a result, the full extent of liability 
under  our  insurance  or  reinsurance  contracts  may  not  be 
known for many years after a contract is issued. The effects 
of  unforeseen  developments  or  substantial  government 
intervention could adversely impact us.

We have exposure to a number of lines of business, such as 
trade  credit,  travel,  workers  compensation  and  property  that 
do  not  contain  a  specific  pandemic  exclusion  and/or 
explicitly  afford  business  interruption  coverage  under  a 
pandemic  such  as  COVID-19. 
In  May  2020,  FCA 
commenced court proceedings against a number of insurance 
companies,  including  Arch  Insurance  (U.K.),  to  test  how 
certain  business  interruption  insurance  policies  respond  to 
claims  arising  from  COVID-19.  The  High  Court 
in 
September  2020  handed  down  its  judgment  which,  found  in 
favor  of  policyholders  on  the  majority  of  the  key  coverage 
issues  in  the  representative  sample  of  policies  submitted  by 
the defendants. Appeals were filed by six insurers, including 
Arch  Insurance  (U.K.),  and  in  January  2021,  the  Supreme 
Court in the U.K. broadly confirmed the High Court’s rulings 
on  the  business  wordings.  The  impact  of  this  case  on  Arch 
Insurance (U.K.)’s results of operations has been modest, but 
the larger impact of this “test case” and other litigation which 
may flow from it in the U.K. or other jurisdictions where we 
offer  business  interruption  cover,  cannot  be  quantified  or 
predicted with certainty at this time. A prolonged COVID-19 
pandemic  could  trigger  further  litigation  on  coverage  and 
claims  issues  and  potentially  result  in  material  and  adverse 
outcomes  and  impact  our  business  results.  See  “Risks 
Relating  to  Our  Mortgage  Operations”  for  further  details  on 
our mortgage operations.

Acquisitions,  the  addition  of  new  lines  of  insurance  or 
reinsurance business, expansion into new geographic regions 
and/or entering into joint ventures or partnerships expose us 
to risks.

We may seek, from time to time, to acquire other companies, 
acquire  selected  blocks  of  business,  expand  our  business 
lines,  expand  into  new  geographic  regions  and/or  enter  into 

joint  ventures  or  partnerships.  Such  activities  expose  us  to 
challenges  and  risks,  including:  integrating  financial  and 
operational 
reporting  systems;  establishing  satisfactory 
budgetary  and  other  financial  controls;  funding  increased 
capital needs, overhead expenses or cash flow shortages that 
may  occur  if  anticipated  sales  and  revenues  are  not  realized 
or  are  delayed,  whether  by  general  economic  or  market 
conditions  or  unforeseen  internal  difficulties;  obtaining 
management  personnel  required  for  expanded  operations; 
obtaining necessary regulatory permissions; and establishing 
adequate  reserves  for  any  acquired  book  of  business.  In 
addition,  the  value  of  assets  acquired  may  be  lower  than 
expected or may diminish due to credit defaults or changes in 
interest  rates;  the  liabilities  assumed  may  be  greater  than 
expected; and assets and liabilities acquired may be subject to 
foreign  currency  exchange  rate  fluctuation.  We  may  also  be 
subject to financial exposures in the event that the sellers of 
the entities or business we acquire are unable or unwilling to 
meet their indemnification, reinsurance and other contractual 
obligations  to  us.  Our  failure  to  manage  successfully  any  of 
the foregoing challenges and risks may adversely impact our 
results of operations.

The  U.K.’s  Withdrawal  from  the  EU  could  adversely  affect 
us.

The U.K. ceased to be a member state of the European Union 
in January 2020. Although the EU and U.K. reached a limited 
agreement  in  relation  to  certain  matters,  U.K.  insurers  and 
reinsurers  no  longer  have  automatic  access  to  EU  markets 
and vice versa. Our U.K. domiciled entities and our Lloyd’s 
syndicates, may no longer “passport” within the EU and. are 
now  part  of  the  U.K.  temporary  permissions  regime  which 
allows firms to operate in the U.K. for a limited period while 
they  seek  authorization  from  the  U.K.  regulators.  While  we 
have implemented changes in our operations to accommodate 
Brexit,  the  full  extent  to  which  our  business,  operations  and 
financial  condition  could  be  adversely  affected  by  Brexit  is 
uncertain. The impact of the U.K.’s withdrawal on the U.K. 
and  European  economies  and  the  broader  global  economy 
could  be  significant,  resulting  in  increased  volatility  and 
potentially  lower  economic  growth  and  instability  in  the 
financial and foreign exchange markets.

Our  information  technology  systems  may  be  unable  to  meet 
the demands of customers and our workforce.

Our  information  technology  systems  service  our  insurance 
portfolios.  Accordingly,  we  are  highly  dependent  on  the 
effective  operation  of  these  systems.  While  we  believe  that 
the systems are adequate to service our insurance portfolios, 
there  can  be  no  assurance  that  they  will  operate  in  all 
the 
manners 
functionality required by customers currently or in the future. 

intend  or  possess  all  of 

in  which  we 

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to 

In  order 

Our customers, especially our mortgage insurance customers, 
require  that  we  conduct  our  business  in  a  secure  manner, 
the  Internet  or  via  electronic  data 
electronically  via 
transmission.  We  must  continually 
invest  significant 
in  establishing  and  maintaining  electronic 
resources 
integrate 
connectivity  with  customers. 
electronically  with  customers  in  the  mortgage  insurance 
industry,  we  require  electronic  connections  between  our 
systems and those of the industry's largest mortgage servicing 
systems and leading loan origination systems. Our mortgage 
group  currently  possesses  connectivity  with  certain  of  these 
external  systems,  but  there  is  no  assurance  that  such 
connectivity is sufficient and we are continually undertaking 
new  electronic  integration  efforts  with  third-party  loan 
servicing and origination systems. We also rely on electronic 
integrations in our insurance operations with third parties and 
customers.  Our  business,  financial  condition  and  operating 
results  may  be  adversely  affected  if  we  do  not  possess  or 
timely  acquire  the  requisite  set  of  electronic  integrations 
necessary  to  keep  pace  with  the  technological  demands  of 
customers. 

increased  and 
The  COVID-19  pandemic  has  placed 
unanticipated  demands  on  our  IT  systems  in  use  by  our 
customers  and  our  workforce  as  much  of  the  general 
workforce continues to work remotely. Remote working may 
increase  the  risk  of  cyber  security  attacks  or  other  data 
security incidents. There is no assurance that we will be able 
to  respond  effectively  to  all  of  the  increased  and  varied 
demands on our IT systems during a prolonged pandemic.

Technology  breaches  or  failures,  including,  but  not  limited 
to, those resulting from a malicious cyber attack on us or our 
business  partners  and  service  providers,  could  disrupt  or 
otherwise negatively impact our business and/or expose us to 
litigation. 

information 

the  electronic 

significant  portion  of 

We  rely  on  information  technology  systems  to  process, 
information, 
transmit,  store  and  protect 
financial  data  and  proprietary  models  that  are  critical  to  our 
business.  Furthermore,  a 
the 
communications  between  our  employees  and  our  business 
partners  and  service  providers  depends  on  information 
technology  and  electronic  information  exchange.  Like  all 
companies,  our 
systems  are 
vulnerable  to  data  breaches,  interruptions  or  failures  due  to 
events  that  may  be  beyond  our  control,  including,  but  not 
limited  to,  natural  disasters,  power  outages,  theft,  terrorist 
attacks, computer viruses, hackers, errors in usage or through 
social  engineering  or  phishing  and  general  technology 
failures. Security breaches by third parties could expose us to 
the  loss  or  misuse  of  our  information,  litigation,  financial 
losses and potential liability. In addition, cyber incidents that 
impact  the  availability,  reliability,  speed,  accuracy  or  other 
proper functioning of these systems could have a significant 

technology 

negative impact on our operations and possibly our results. A 
cyber  incident  could  also  result  in  a  violation  of  applicable 
privacy, data protection or other laws, damage our reputation, 
cause  a  loss  of  customers,  adversely  affect  our  stock  price, 
cause  us  to  incur  remediation  costs,  increased  insurance 
premiums,  and/or  give  rise  to  monetary  fines  and  penalties, 
any of which could adversely affect our business.

We  outsource  certain  technology  and  business  process 
functions  to  third  parties  and  may  continue  do  so  in  the 
future.  This  practice  exposes  us  to  increased  risks  related  to 
data  security,  service  disruptions  or  the  effectiveness  of  our 
control  system,  which  could  result 
in  monetary  and 
reputational damage or harm to our competitive position. 

A downgrade in our ratings or our inability to obtain a rating 
for  our  operating  insurance  and  reinsurance  subsidiaries 
may  adversely  affect  our  relationships  with  clients  and 
brokers and negatively impact sales of our products.

Similar  to  our  competitors,  a  ratings  downgrade  or  the 
potential  for  such  a  downgrade,  or  failure  to  obtain  a 
necessary rating, could adversely affect our relationships with 
agents, brokers, wholesalers, intermediaries, clients and other 
distributors  of  our  existing  and  new  products  and  services. 
Some  of  the  reinsurance  agreements  assumed  by  our 
reinsurance  operations  include  provisions  that  a  ratings 
downgrade or other specified triggering event with respect to 
our reinsurance operations, such as a reduction in surplus by 
specified  amounts  during  specified  periods,  provide  our 
ceding company clients certain rights, including, the right to 
terminate the subject reinsurance agreement and/or to require 
us  to  post  additional  collateral.  Any  ratings  downgrade  or 
failure to obtain a necessary rating could adversely affect our 
ability to compete in our markets, could cause our premiums 
and  earnings  to  decrease  and  could  have  a  material  adverse 
impact on our financial condition and results of operations. In 
some  cases,  a  downgrade  in  ratings  of  certain  of  our 
operating  subsidiaries  may  constitute  an  event  of  default 
under our credit facilities.

We  can  offer  no  assurances  that  our  ratings  will  remain  at 
their current levels or that any of our ratings which are under 
review or watch by ratings agencies will remain unchanged. 
It  is  possible  that  rating  agencies  may  heighten  the  level  of 
scrutiny  they  apply  when  analyzing  companies  in  our 
industry  and  may  adjust  upward  the  capital  and  other 
requirements  employed  in  their  models  for  maintenance  of 
certain  rating  levels.  We  may  need  to  raise  additional  funds 
through  equity  or  debt  financings.  Any  equity  or  debt 
financing,  if  available  at  all,  may  be  on  terms  that  are 
unfavorable to us. Equity financings could be dilutive to our 
existing  shareholders  and  could  result  in  the  issuance  of 
securities that have rights, preferences and privileges that are 
senior  to  those  of  our  outstanding  securities.  If  we  are  not 
able  to  obtain  adequate  capital,  our  business,  results  of 

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operations  and  financial  condition  could  be  adversely 
affected.  See  “Capital  Resources”  in  Item  7  for  further 
details.

For  further  information  on  our  financial  strength  and/or 
in  Item  1.  For  further 
issuer  ratings,  see  “Ratings” 
information on our letter of credit facilities, see the Letter of 
Credit 
section  of 
“Contractual Obligations and Commercial Commitments” in 
Item 7.

and  Revolving  Credit  Facilities 

Our  success  will  depend  on  our  ability  to  maintain  and 
enhance effective operating procedures and internal controls 
and our enterprise risk management (“ERM”) program.

to  obtain  proper 

We  operate  within  an  ERM  framework  designed  to  assess 
and monitor our risks. Operational risk and losses can result 
from,  among  other  things,  fraud,  errors,  failure  to  document 
internal 
transactions  properly  or 
authorization, failure to comply with regulatory requirements, 
information  technology  or  information  security  failures  and 
failure  to  train  employees  appropriately  or  adequately.  We 
continuously  enhance  our  operating  procedures  and  internal 
controls 
to  effectively  support  our  business  and  our 
regulatory  and  reporting  requirements.  As  a  result  of  the 
inherent  limitations  in  all  control  systems,  no  evaluation  of 
controls can provide absolute assurance that all control issues 
and instances of fraud, if any, within the company have been 
detected. These inherent limitations include the realities that 
judgments  in  decision  making  can  be  faulty,  and  that 
breakdowns can occur because of simple error or mistake or 
circumvention  of  controls.  There  can  be  no  assurance  that 
any control system will succeed in achieving its stated goals 
under  all  potential  future  conditions.  Any  ineffectiveness  in 
our  controls  or  procedures  could  have  a  material  adverse 
effect  on  our  business.  For  further  information  on  our  ERM 
framework, see “Enterprise Risk Management” in Item 1.

We  are  exposed  to  credit  risk  in  certain  of  our  business 
operations.

In  addition  to  exposure  to  credit  risk  related  to  our 
investment  portfolio,  reinsurance  recoverables  and  reliance 
on brokers and other agents, we are exposed to credit risk in 
other  areas  of  our  business  related  to  policyholders.  We  are 
exposed  to  credit  risk  in  our  insurance  group’s  surety  unit 
where we guarantee to a third party that our policyholder will 
satisfy  certain  performance  or  financial  obligations.  If  our 
policyholder defaults, we may suffer losses and be unable to 
be  reimbursed  by  our  policyholder.  We  are  also  exposed  to 
credit risk from policyholders on smaller deductibles in other 
insurance  group  lines,  such  as  healthcare  and  excess  and 
surplus  casualty.  Although  we  have  not  experienced  any 
material  credit  losses  to  date,  an  increased  inability  of  our 
policyholders  to  meet  their  obligations  to  us  could  have  a 

material adverse effect on our financial condition and results 
of operations. See note 3, “Significant Accounting Policy.”

Our  business  is  subject  to  applicable  laws  and  regulations 
relating  to  economic  trade  sanctions  and  foreign  bribery 
laws,  the  violation  of  which  could  adversely  affect  our 
operations.

We must comply with all applicable economic sanctions and 
anti-bribery  laws  and  regulations  of  the  U.S.  and  other 
foreign  jurisdictions  where  we  operate.  U.S.  laws  and 
regulations applicable to us and others who provide insurance 
and  reinsurance  include  the  economic  trade  sanctions  laws 
and  regulations  administered  by  the  Treasury’s  Office  of 
Foreign  Assets  Control  as  well  as  certain  laws  administered 
by the U.S. Department of State. New sanction regimes may 
be  initiated,  or  existing  sanctions  expanded,  at  any  time, 
which can immediately impact our business activities. We are 
also  subject  to  the  U.S.  Foreign  Corrupt  Practices  Act  and 
other  anti-bribery  laws  such  as  the  U.K.  Bribery  Act  that 
generally  bar  corrupt  payments  or  unreasonable  gifts  to 
foreign governments or officials. Although we have policies 
and  controls  in  place  designed  to  ensure  compliance  with 
these laws and regulations, it is possible that an employee or 
intermediary  could  fail  to  comply  with  applicable  laws  and 
regulations.  In  such  event,  we  could  be  exposed  to  fines, 
criminal penalties and other sanctions. Such violations could 
limit  our  ability  to  conduct  business  and/or  damage  our 
reputation,  resulting  in  a  material  adverse  effect  on  our 
financial condition and results of operations.

Risks Relating to Financial Markets and Investments

Adverse developments in the financial markets could have a 
material adverse effect on our results of operations, financial 
position and our businesses, and may also limit our access to 
capital;  our  policyholders,  reinsurers  and  retrocessionaires 
may  also  be  affected  by  such  developments,  which  could 
adversely affect their ability to meet their obligations to us.

Adverse  developments  in  the  financial  markets,  such  as 
disruptions, uncertainty or volatility in the capital and credit 
markets,  may  result  in  realized  and  unrealized  capital  losses 
that  could  have  a  material  adverse  effect  on  our  results  of 
operations,  financial  position  and  our  businesses,  and  may 
also  limit  our  access  to  capital  required  to  operate  our 
business.  Depending  on  market  conditions,  we  could  incur 
additional  realized  and  unrealized  losses  on  our  investment 
portfolio  in  future  periods,  which  could  have  a  material 
adverse  effect  on  our  results  of  operations,  financial 
condition and business. Economic conditions could also have 
a material impact on the frequency and severity of claims and 
therefore  could  negatively  impact  our  underwriting  returns. 
In 
and 
retrocessionaires  may  be  affected  by  developments  in  the 
financial  markets,  which  could  adversely  affect  their  ability 

policyholders, 

reinsurers 

addition, 

our 

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to meet their obligations to us. The volatility in the financial 
markets could continue to significantly affect our investment 
returns, reported results and shareholders’ equity.

The  capital  requirements  of  our  businesses  depend  on  many 
factors, including regulatory and rating agency requirements, 
the  performance  of  our  investment  portfolio,  our  ability  to 
write  new  business  successfully,  the  frequency  and  severity 
of  catastrophe  events  and  our  ability  to  establish  premium 
rates and reserves at levels sufficient to cover losses. 

Disruption to the financial markets and the general economic 
downturn  resulting  from  COVID-19  may  adversely  and 
materially  impact  our  investments,  financial  condition  and 
results of operation.

increases 

Disruption  in  the  financial  markets  and  the  downturn  in 
global  economic  activity  resulting  from  the  COVID-19 
the 
pandemic  could  adversely  and  materially  affect 
performance  of  our 
investment  portfolio.  Significant, 
continued  volatility  in  financial  markets,  changes  in  interest 
rates, 
lack  of  pricing 
in  credit  spreads,  a 
transparency,  decreased  market  liquidity,  declines  in  equity 
prices  and  the  strengthening  or  weakening  of  foreign 
currencies against the U.S. Dollar, individually or in tandem, 
could  have  a  material  adverse  effect  on  our  results  through 
realized  losses,  impairments  and  changes  in  unrealized 
positions in our investment portfolio. Furthermore, issuers of 
the  investments  we  hold  under  the  equity  method  of 
accounting report their financial information to us one month 
to  three  months  following  the  end  of  the  reporting  period. 
Accordingly, the adverse impact of any disruptions in global 
financial  markets  on  equity  method  income  from  these 
investments  would  likely  not  be  reflected  in  our  current 
quarter  results  and  would  instead  be  reported  in  the 
subsequent quarter. 

Our  operating  results  depend  in  part  on  the  performance  of 
our  investment  portfolio.  A  significant  portion  of  cash  and 
invested  assets  held  by  Arch  consists  of  fixed  maturities 
(69.9%  as  of  December  31,  2020).  Although  our  current 
investment  guidelines  and  approach  stress  preservation  of 
capital,  market  liquidity  and  diversification  of  risk,  our 
investments are subject to market-wide risks and fluctuations. 
In  addition,  we  are  subject  to  risks  inherent  in  particular 
securities  or 
types  of  securities,  as  well  as  sector 
concentrations. We may not be able to realize our investment 
objectives, which could have a material adverse effect on our 
financial  results.  In  the  event  that  we  are  unsuccessful  in 
correlating  our  investment  portfolio  with  our  expected 
insurance  and  reinsurance  liabilities,  we  may  be  forced  to 
liquidate  our  investments  at  times  and  prices  that  are  not 
optimal,  which  could  have  a  material  adverse  effect  on  our 
financial results and ability to conduct our business.

Foreign  currency  exchange  rate  fluctuation  may  adversely 
affect our financial results.

We  write  business  on  a  worldwide  basis,  and  our  results  of 
operations  may  be  affected  by  fluctuations  in  the  value  of 
currencies  other  than  the  U.S.  Dollar.  The  primary  foreign 
currencies  in  which  we  operate  are  the  Euro,  the  British 
Pound  Sterling,  the  Australian  Dollar  and  the  Canadian 
Dollar. In order to minimize the possibility of losses we may 
suffer  as  a  result  of  our  exposure  to  foreign  currency 
fluctuations  in  our  net  insurance  liabilities,  we  invest  in 
securities  denominated  in  currencies  other  than  the  U.S. 
Dollar. In addition, we may replicate investment positions in 
foreign  currencies  using  derivative  financial  instruments. 
Changes in the value of investments due to foreign currency 
rate movements are reflected as a direct increase or decrease 
to shareholders' equity and are not included in the statement 
of income.

Uncertainty  relating  to  the  determination  of  LIBOR  and  the 
potential  phasing  out  and  replacement  of  LIBOR  after  2021 
may  adversely  affect  our  cost  of  capital,  net  investment 
income and mortgage reinsurance costs.

On  July  27,  2017,  the  U.K.  Financial  Conduct  Authority 
announced that it intends to end the use of LIBOR after 2021 
as the benchmark rate that many banks and issuers use to set 
interests in loan documents. Recognizing the need to replace 
LIBOR,  authorities  in  the  United  States  convened  the 
Alternative  Reference  Rates  Committee  (“ARRC”)  in  2014 
to  identify  a  replacement  for  LIBOR.  In  2017,  the  ARRC 
identified the Secured Overnight Financing Rate (“SOFR”) - 
a combination of certain overnight repo rates, as its preferred 
alternative to LIBOR, and in April 2018, the Federal Reserve 
Bank of New York began publishing the SOFR rate. Because 
SOFR is an overnight risk-free rate, versus LIBOR which has 
various  terms  and  an  embedded  credit  charge,  the  transition 
from  LIBOR  to  SOFR  will  require  adjustments.  The 
uncertainty of these adjustments, and the timing of when the 
transition  will  occur  may  adversely  affect  the  value  of  and 
trading  market  for  LIBOR-based  securities.  Moreover,  the 
transition  to  SOFR  from  LIBOR  may  adversely  affect  the 
performance  of  our  investment  portfolio,  our  cost  of  capital 
and  our  cost  of  issuing  Bellemeade  mortgage  risk  transfer 
securities.  While  we  have  an  internal  committee  focused  on 
managing the replacement of LIBOR for our investments and 
operations,  we  do  not  believe  that  it  is  possible  to  predict 
how  markets  will  respond  to  the  transition  to  SOFR,  or  any 
other  rate,  from  LIBOR  on  new  or  existing  financial 
instruments or quantify the potential effect of any such event 
on us at this time. 

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Table of Contents

Our  reinsurance  subsidiaries  may  be  required  to  provide 
collateral  to  ceding  companies,  by  applicable  regulators, 
their  contracts  or  other  commercial  considerations.  Their 
ability  to  conduct  business  could  be  significantly  and 
negatively affected if they are unable to do so.

Arch  Re  Bermuda  is  a  registered  Bermuda  insurance 
company and is not licensed or admitted as an insurer in any 
jurisdiction in the U.S., although Arch Re Bermuda has been 
approved as a “certified reinsurer” in certain U.S. states that 
allow  reduced  collateral  for  reinsurance  ceded  to  such 
reinsurers.  Arch  Re  Bermuda's  contracts  generally  require  it 
to  post  a  letter  of  credit  or  provide  other  security,  even  in 
U.S. states where it has been approved for reduced collateral. 
State  credit  for  reinsurance  rules  also  generally  provide  that 
certified  reinsurers  such  as  Arch  Re  Bermuda  must  provide 
100%  collateral  in  the  event  their  certified  status  is 
“terminated”  or  upon  the  entry  of  an  order  of  rehabilitation, 
liquidation or conservation against a ceding insurer. 

Although, to date, Arch Re Bermuda has not experienced any 
difficulties  in  providing  collateral  when  required,  if  we  are 
unable to post security in the form of letters of credit or trust 
funds  when  required,  the  operations  of  Arch  Re  Bermuda 
could be significantly and negatively affected.

Risks Relating to Our Mortgage Operations

The  ultimate  performance  of  the  Arch  MI  U.S.  mortgage 
insurance portfolio remains uncertain.

The mix of business in our insured loan portfolio may affect 
losses. The presence of multiple higher-risk characteristics in 
a loan materially increases the likelihood of a claim on such a 
loan unless there are other characteristics to mitigate the risk. 
The  geographic  mix  of  Arch  MI  U.S.’s  business  could 
increase losses and harm our financial performance.

Generally, we cannot cancel mortgage insurance coverage or 
adjust  renewal  premiums  during  the  life  of  a  mortgage 
insurance  policy.  As  a  result,  higher  than  anticipated  claims 
generally cannot be offset by premium increases on policies 
in  force  or  mitigated  by  our  non-renewal  or  cancellation  of 
insurance  coverage.  The  premiums  charged,  and 
the 
associated  investment  income,  may  not  be  adequate  to 
compensate  us  for  the  risks  and  costs  associated  with  the 
insurance coverage provided to customers. An increase in the 
number  or  size  of  claims,  compared  to  what  we  anticipate, 
could  adversely  affect  Arch  MI  U.S.’s  results  of  operations 
and financial condition. 

The  frequency  and  severity  of  claims  we  incur  is  uncertain 
and will depend largely on general economic factors outside 
of  our  control, 
in 
unemployment,  home  prices  and  interest  rates  in  the  U.S. 
Deteriorating  economic  conditions  in  the  U.S.,  potentially 

including,  among  others,  changes 

to  prolonged 

recessionary  conditions 

due 
to 
COVID-19,  could  adversely  affect  the  performance  of  our 
U.S. mortgage insurance portfolio and could adversely affect 
our results of operations and financial condition.

related 

If  the  volume  of  low  down  payment  mortgage  originations 
declines,  or  if  other  government  housing  policies,  practices 
or regulations change, the amount of mortgage insurance we 
write  in  the  U.S.  could  decline,  which  would  reduce  our 
mortgage insurance revenues.

The  size  of  the  U.S.  mortgage  insurance  market  depends  in 
large  part  upon  the  volume  of  low  down  payment  home 
mortgage  originations.  Factors  affecting  the  volume  of  low 
down payment mortgage originations include, among others: 
restrictions on mortgage credit due to stringent underwriting 
standards  and  liquidity  issues  affecting  lenders;  changes  in 
mortgage interest rates and home prices, and other economic 
conditions  in  the  U.S.  and  regional  economies;  population 
trends,  including  the  rate  of  household  formation;  and  U.S. 
government housing policy. 

Most  recently,  on  December  10,  2020,  the  Consumer 
Financial  Protection  Bureau  (“CFPB”)  issued  its  final  rule 
amending  the  general  qualified  mortgage  (“QM”)  definition 
and  eliminated  the  exception  that  all  GSEs  loans  were 
deemed  QM.  The  General  QM  definition  in  the  final  rule 
differs from the definition of QM applicable to loans sold to 
FHA,  creating  incentives  for  originators  to  originate  loans 
under  the  FHA  program  rather  than  sell  loans  to  the  GSEs. 
On January 14, 2021, the FHFA as conservator of the GSEs 
and  the  Department  of  Treasury  entered  into  a  letter 
agreement  that  further  amended  the  senior  preferred  stock 
purchase  arrangement  (“PSPA”).  This  letter  agreement, 
among  other  provisions,  imposed  restrictions  on  the  amount 
of  high  risk  loans  that  can  be  purchased  by  the  GSEs.  A 
decline in the volume of low-down payment home mortgage 
originations  or  purchases  by  the  GSEs  could  decrease 
demand  for  mortgage  insurance,  decrease  our  U.S.  new 
insurance written and reduce mortgage insurance revenues.

Changes to the role of the GSEs in the U.S. housing market 
or  to  GSE  eligibility  requirements  for  mortgage  insurers 
could  negatively  impact  our  results  of  operations  and 
financial condition, or reduce our operating flexibility.

Substantially  all  of  Arch  MI  U.S.’s  insurance  written  has 
been  for  loans  sold  to  the  GSEs.  The  charters  of  the  GSEs 
require credit enhancement for low down payment mortgages 
in  order  for  such  loans  to  be  eligible  for  purchase  or 
guarantee  by  the  GSEs.  If  the  charters  of  the  GSEs  were 
amended  to  change  or  eliminate  the  acceptability  of  private 
mortgage  insurance,  our  mortgage  insurance  business  could 
decline significantly. 

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Table of Contents

The  PMIERs  apply  to  Arch  Mortgage  Insurance  Company 
and United Guaranty Residential Insurance Company, which 
are  GSE-approved  mortgage  insurers  (“eligible  mortgage 
insurers”).  The  PMIERs  impose  limitations  on  the  type  of 
risk  insured,  the  forms  and  insurance  policies  issued, 
standards for the geographic and customer diversification of 
risk, procedures for claims handling, acceptable underwriting 
practices, quality assurance, loss mitigation, claims handling, 
standards  for  certain  reinsurance  cessions  and  financial 
requirements, among other things. The financial requirements 
require a mortgage insurer’s available assets, which generally 
include only the most liquid assets of an insurer, to meet or 
exceed  “minimum  required  assets”  as  of  each  quarter  end. 
Arch MI U.S.’s minimum required assets under the PMIERs 
will be determined, in part, by the particular risk profiles of 
the loans it insures. If, absent other changes, Arch MI U.S.’s 
mix  of  business  changes  to  include  more  loans  with  higher 
loan-to-value  ratios  or  lower  credit  scores,  it  will  have  a 
higher  minimum  required  asset  amount  under  the  PMIERs 
and, accordingly, be required to hold more capital in order to 
maintain GSE eligibility. Our eligible mortgage insurers each 
satisfied the PMIERs’ financial requirements as of December 
31, 2020. While we intend to continue to comply with these 
requirements,  there  can  be  no  assurance  that  the  GSEs  will 
not  change  the  PMIERs  or  that  Arch  Mortgage  Insurance 
Company  or  United  Guaranty  Residential 
Insurance 
Company  will  continue  as  eligible  mortgage  insurers.  If 
either  or  both  of  the  GSEs  were  to  cease  to  consider  Arch 
Mortgage 
Insurance  Company  or  United  Guaranty 
Residential Insurance Company as eligible mortgage insurers 
and,  therefore,  cease  accepting  our  mortgage  insurance 
products,  our  results  of  operations  and  financial  condition 
would be adversely affected.

The  implementation  of  the  Basel  III  Capital  Accord  and 
FHFA’s Enterprise Capital Rule may adversely affect the use 
of mortgage insurance and CRT opportunities.

loan-to-value 

With certain exceptions, the Basel III Rules became effective 
on January 1, 2014. In December 2017, the Basel Committee 
published final revisions to the Basel Capital Accord which is 
informally denominated in the U.S. as “Basel IV.” The Basel 
Committee expects the new rules to be fully implemented by 
January 2027. Under the revised Basel rules, banks using the 
standardized  approach  for  credit  risk  management  will 
determine the risk-weight for residential mortgages based on 
the 
loan  origination,  without 
consideration  of  mortgage  insurance.  The  U.S.  regulatory 
agencies  have  not  proposed  adopting  the  Basel  IV  rules  on 
mortgage  capital  requirements  and  could  determine  that 
current  U.S.  rules  are  “at  least  as  stringent”  as  the  Basel  IV 
provisions,  and  therefore  do  not  need  to  be  modified. 
However, if the U.S. regulators decide to adopt the Basel IV 
approach,  the  capital  relief  benefits  of  MI  would  be 
diminished,  which  could  adversely  affect  the  demand  for 
mortgage insurance. 

ratio  at 

Further,  a  new  “Basel-like”  risk-based  capital  rule  for  the 
GSEs  was  adopted  by  the  FHFA  in  2020.  The  rule  requires 
the GSEs to hold the greater of the risk-based capital amount 
or the leverage ratio. The rule limits the reduction in capital 
for  CRTs  to  third  parties  under  the  risk-based  capital 
calculation  and  disallows  any  reduction  for  CRT  to  the 
leverage  ratio.  By  its  terms,  this  rule  will  become  fully 
effective only if the GSEs are released from conservatorship, 
though  the  PSPA  letter  agreement  contractually  requires 
compliance sooner. 

If  the  Enterprise  Capital  Rule  becomes  fully  implemented 
without revision, significantly higher capital requirements for 
the  GSEs  would  be  mandated  and  the  opportunity  for 
participating  in  CRT  transactions  could  be  reduced.  This, 
along  with  the  cap  on  certain  high-risk  loans  in  the  PSPA 
letter  agreement  with  Treasury,  could  result  in  higher  GSE 
fees and potentially smaller market share for the Enterprises 
and  could  adversely  impact  the  demand  for  MI  policies. 
Additionally,  the  GSEs  may  amend  PMIERs  to  align  the 
capital  requirements  and  reduce  the  recognition  of  CRT  for 
eligible insurers. Such changes could require us to contribute 
additional  capital  to  Arch  MI  U.S.  in  the  future  and  could 
negatively  impact  our  results  of  operations  and  financial 
condition.

Risk Relating to Our Company and Our Shares

Some of the provisions of our bye-laws and our shareholders 
agreement  may  have  the  effect  of  hindering,  delaying  or 
preventing  third  party  takeovers  or  changes  in  management 
initiated by shareholders. These provisions may also prevent 
our  shareholders  from  receiving  premium  prices  for  their 
shares in an unsolicited takeover.

Some  provisions  of  our  bye-laws  could  have  the  effect  of 
discouraging  unsolicited  takeover  bids  from  third  parties  or 
changes  in  management  initiated  by  shareholders.  These 
provisions may encourage companies interested in acquiring 
us to negotiate in advance with our board of directors, since 
the  board  has  the  authority  to  overrule  the  operation  of 
several of the limitations.

Among  other  things,  our  bye-laws  provide:  for  a  classified 
board of directors, in which the directors of the class elected 
at  each  annual  general  meeting  holds  office  for  a  term  of 
three years, with the term of each class expiring at successive 
annual general meetings of shareholders; that the number of 
directors  is  determined  by  the  board  from  time  to  time  by  a 
vote of the majority of our board; that directors may only be 
removed  for  cause,  and  cause  removal  shall  be  deemed  to 
exist only if the director whose removal is proposed has been 
convicted of a felony or been found by a court to be liable for 
gross negligence or misconduct in the performance of his or 
her  duties;  that  our  board  has  the  right  to  fill  vacancies, 
including  vacancies  created  by  an  expansion  of  the  board; 

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Table of Contents

and for limitations on a shareholder’s right to raise proposals 
or  nominate  directors  at  general  meetings.  Our  bye-laws 
provide that certain provisions which may have anti-takeover 
effects  may  be  repealed  or  altered  only  with  prior  board 
approval  and  upon  the  affirmative  vote  of  holders  of  shares 
representing  at  least  65%  of  the  total  voting  power  of  our 
shares entitled generally to vote at an election of directors.

The  bye-laws  also  contain  a  provision  limiting  the  rights  of 
any  U.S.  person  (as  defined  in  section  7701(a)(30)  of  the 
Internal  Revenue  Code  of  1986,  as  amended  (the  “Code”)) 
that  owns  shares  of  Arch  Capital,  directly,  indirectly  or 
constructively  (within  the  meaning  of  section  958  of  the 
Code),  representing  more  than  9.9%  of  the  voting  power  of 
all shares entitled to vote generally at an election of directors. 
The votes conferred by such shares of such U.S. person will 
be reduced by whatever amount is necessary so that after any 
such  reduction  the  votes  conferred  by  the  shares  of  such 
person  will  constitute  9.9%  of  the  total  voting  power  of  all 
shares  entitled  to  vote  generally  at  an  election  of  directors. 
Notwithstanding  this  provision,  the  board  may  make  such 
final adjustments to the aggregate number of votes conferred 
by the shares of any U.S. person that the board considers fair 
and reasonable in all circumstances to ensure that such votes 
represent  9.9%  of  the  aggregate  voting  power  of  the  votes 
conferred  by  all  shares  of  Arch  Capital  entitled  to  vote 
generally at an election of directors. Arch Capital will assume 
that  all  shareholders  (other  than  specified  persons)  are  U.S. 
persons  unless  we  receive  assurance  satisfactory  to  us  that 
they are not U.S. persons.

The bye-laws also provide that the affirmative vote of at least 
66  2/3%  of  the  outstanding  voting  power  of  our  shares 
(excluding  shares  owned  by  any  person  (and  such  person’s 
affiliates and associates) that is the owner of 15% or more (a 
“15%  Holder”)  of  our  outstanding  voting  shares)  shall  be 
required  for  various  corporate  actions,  including:  merger  or 
consolidation of the company into a 15% Holder; sale of any 
or  all  of  our  assets  to  a  15%  Holder;  the  issuance  of  voting 
these 
securities 
provisions;  provided,  however,  the  super  majority  vote  will 
not apply to any transaction approved by the board.

to  a  15%  Holder;  or  amendment  of 

The  provisions  described  above  may  have  the  effect  of 
making  more  difficult  or  discouraging  unsolicited  takeover 
bids from third parties. To the extent that these effects occur, 
shareholders  could  be  deprived  of  opportunities  to  realize 
takeover  premiums  for  their  shares  and  the  market  price  of 
their shares could be depressed. In addition, these provisions 
could  also  result 
incumbent 
management. 

the  entrenchment  of 

in 

There  are  regulatory  limitations  on  the  ownership  and 
transfer of our common shares.

The jurisdictions where we operate have laws and regulations 

that require regulatory approval of a change in control of an 
insurer  or  an  insurer's  holding  company.  Where  such  laws 
apply  to  us,  there  can  be  no  effective  change  in  our  control 
unless  the  person  seeking  to  acquire  control  has  filed  a 
statement with the regulators and obtained prior approval for 
the proposed change. Certain regulators may at any time, by 
written notice, object to a person holding shares in an insurer 
or an insurer's holding company if it appears to the regulator 
that the person is not or is no longer fit and proper to be such 
a holder. The regulator may require the shareholder to reduce 
its holding in the insurer or an insurer's holding company and 
direct,  among  other  things,  that  such  shareholder’s  voting 
rights  attaching  to  the  shares  in  an  insurer  or  an  insurer's 
holding company shall not be exercisable.

Arch  Capital  is  a  holding  company  and  is  dependent  on 
dividends  and  other  distributions 
its  operating 
subsidiaries.

from 

Arch  Capital  is  a  holding  company  whose  assets  primarily 
consist  of  the  shares  in  our  subsidiaries.  Generally,  Arch 
Capital  depends  on  its  available  cash  resources,  liquid 
investments  and  dividends  or  other  distributions  from 
subsidiaries to make payments, including the payment of debt 
service  obligations  and  operating  expenses  it  may  incur  and 
any  payments  of  dividends, 
redemption  amounts  or 
liquidation amounts with respect to our preferred shares and 
common  shares,  and  to  fund  the  share  repurchase  program. 
The  ability  of  our  regulated  insurance  and  reinsurance 
subsidiaries to pay dividends or make distributions is subject 
to  legislative  constraints  and  dependent  on  their  ability  to 
meet applicable regulatory standards. In addition, the ability 
of  our 
to  pay 
insurance  and  reinsurance  subsidiaries 
dividends  to  Arch  Capital  and  to  intermediate  parent 
companies  owned  by  Arch  Capital  could  be  constrained  by 
from 
financial 
our  dependence  on 
independent rating agencies. Our ratings from these agencies 
depend  to  a  large  extent  on  the  capitalization  levels  of  our 
insurance and reinsurance subsidiaries. 

strength 

ratings 

General  market  conditions  and  unpredictable  factors  could 
adversely affect market prices for our outstanding preferred 
shares.

There  can  be  no  assurance  about  the  market  prices  for  our 
series  of  preferred  shares  that  are  traded  publicly.  Several 
factors, many of which are beyond our control, will influence 
the  fair  value  of  our  preferred  shares,  including,  but  not 
limited to:

•

•

whether  dividends  have  been  declared  and  are  likely  to 
be  declared  on  any  series  of  our  preferred  shares  from 
time to time;

our  creditworthiness,  financial  condition,  performance 
and prospects;

ARCH CAPITAL

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2020  FORM 10-K

whether the ratings on any series of our preferred shares 
provided by any ratings agency have changed;

holders  of  such  series  in  the  event  of  a  liquidation, 
dissolution or winding-up of Arch Capital.

Table of Contents

•

•

•

the market for similar securities; and

economic,  financial,  geopolitical,  regulatory  or  judicial 
events  that  affect  us  and/or  the  insurance  or  financial 
markets generally.

Dividends on our preferred shares are non-cumulative.

Dividends  on  our  preferred  shares  are  non-cumulative  and 
payable only out of lawfully available funds of Arch Capital 
under Bermuda law. Consequently, if Arch Capital's board of 
directors (or a duly authorized committee of the board) does 
not authorize and declare a dividend for any dividend period 
with respect to any series of our preferred shares, holders of 
such  preferred  shares  would  not  be  entitled  to  receive  any 
such dividend, and such unpaid dividend will not accrue and 
will never be payable. Arch Capital will have no obligation to 
pay dividends for a dividend period on or after the dividend 
payment  date  for  such  period  if  its  board  of  directors  (or  a 
duly  authorized  committee  of  the  board)  has  not  declared 
such  dividend  before  the  related  dividend  payment  date;  if 
dividends  on  our  series  E  or  series  F  preferred  shares  are 
authorized  and  declared  with  respect  to  any  subsequent 
dividend  period,  Arch  Capital  will  be  free  to  pay  dividends 
on  any  other  series  of  preferred  shares  and/or  our  common 
shares.  In  the  past,  we  have  not  paid  dividends  on  our 
common shares.

Our  preferred  shares  are  equity  and  are  subordinate  to  our 
existing and future indebtedness.

Our preferred shares are equity interests and do not constitute 
indebtedness. As such, these preferred shares will rank junior 
to  all  of  our  indebtedness  and  other  non-equity  claims  with 
respect to assets available to satisfy our claims, including in 
our  liquidation.  Our  existing  and  future  indebtedness  may 
restrict  payments  of  dividends  on  our  preferred  shares. 
Additionally,  unlike 
indebtedness,  where  principal  and 
interest would customarily be payable on specified due dates, 
in the case of preferred shares, (1) dividends are payable only 
if  declared  by  the  board  of  directors  of  Arch  Capital  (or  a 
duly authorized committee of the board) and (2) as described 
under  “Risks  Relating  to  Our  Company—Arch  Capital  is  a 
holding  company  and  is  dependent  on  dividends  and  other 
distributions  from  its  operating  subsidiaries,”  we  are  subject 
to  certain  regulatory  and  other  constraints  affecting  our 
ability to pay dividends and make other payments.

We may issue additional securities that rank equally with or 
senior  to  our  series  E  and  series  F  preferred  shares  without 
limitation. The issuance of securities ranking equally with or 
senior  to  our  preferred  shares  may  reduce  the  amount 
available  for  dividends  and  the  amount  recoverable  by 

The  voting  rights  of  holders  of  our  preferred  shares  are 
limited.

Holders  of  our  preferred  shares  have  no  voting  rights  with 
respect  to  matters  that  generally  require  the  approval  of 
voting  shareholders.  The  limited  voting  rights  of  holders  of 
our  preferred  shares  include  the  right  to  vote  as  a  class  on 
certain  fundamental  matters  that  affect  the  preference  or 
special  rights  of  our  preferred  shares  as  set  forth  in  the 
certificate of designations relating to each series of preferred 
shares.  In  addition,  if  dividends  on  our  series  E  or  series  F 
preferred  shares  have  not  been  declared  or  paid  for  the 
equivalent  of  six  dividend  payments,  whether  or  not  for 
consecutive  dividend  periods,  holders  of  the  outstanding 
series  E  or  series  F  preferred  shares  will  be  entitled  to  vote 
for  the  election  of  two  additional  directors  to  our  board  of 
directors subject to the terms and to the limited extent as set 
forth in the certificate of designations relating to such series 
of preferred shares.

Risks Relating to Taxation

We  and  our  non-U.S.  subsidiaries  may  become  subject  to 
U.S. federal income taxation and/or the U.S. federal income 
increase, 
tax 
including as a result of changes in tax law.

liabilities  of  our  U.S.  subsidiaries  may 

taxes  on 

Arch  Capital  and  its  non-U.S.  subsidiaries  intend  to  operate 
their  business  in  a  manner  that  will  not  cause  them  to  be 
treated as engaged in a trade or business in the U.S. and, thus, 
will not be required to pay U.S. federal income taxes (other 
than  U.S.  excise 
insurance  and  reinsurance 
premiums  and  withholding  taxes  on  certain  U.S.  source 
investment income) on their income. However, because there 
is  uncertainty  as  to  the  activities  which  constitute  being 
engaged  in  a  trade  or  business  in  the  U.S.,  there  can  be  no 
assurances  that  the  IRS  will  not  contend  successfully  that 
Arch  Capital  or  its  non-U.S.  subsidiaries  are  engaged  in  a 
trade or business in the U.S., in which case our shareholders' 
equity and earnings could be adversely affected.

Congress  has  been  considering  several  legislative  proposals 
intended  to  eliminate  certain  perceived  tax  advantages  of 
Bermuda  and  other  non-U.S.  insurance  companies.  There  is 
no  assurance  that  any  such  legislative  proposal  will  not  be 
enacted  into  law  and  any  such  enacted  law  which  could 
materially increase our income tax liabilities or those of our 
subsidiaries.

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The enactment and implementation of the Tax Cuts Act may 
have  a  material  and  adverse  impact  on  our  operations  and 
financial condition. 

Certain provisions in the Tax Cuts Act could have a material 
and  adverse  impact  on  our  financial  condition  and  business 
operation. One such provision imposes a 10% minimum base 
erosion  and  anti-abuse  tax  (increased  to  12.5%  for  the  2026 
taxable  year  and  the  subsequent  taxable  years)  on  the 
“modified  taxable  income”  of  a  U.S.  corporation  (or  a  non-
U.S.  corporation  engaged  in  a  U.S.  trade  or  business)  over 
such  corporation’s  regular  U.S.  federal  income  tax,  reduced 
by  certain  tax  credits.  The  “modified  taxable  income”  of  a 
corporation  is  determined  without  deduction  for  certain 
payments  by  such  corporation  to  its  non-U.S.  affiliates 
(including  reinsurance  premiums).  Other  provisions  of  the 
Tax Cuts Act that could have a material and adverse impact 
on  us  include  a  provision  that  defers  or  disallows  a  U.S. 
corporation’s deduction of interest expense to the extent such 
interest expense exceeds a specified percentage of such U.S. 
corporation’s “adjusted taxable income” and a provision that 
adjusts  the  manner  in  which  a  U.S.  property  and  casualty 
insurance company computes its loss reserve. 

In addition, there is no assurance that subsequent changes in 
tax  laws  or  regulations  will  not  materially  and  adversely 
affect our operations and financial condition.

We may become subject to taxes in Bermuda after March 31, 
2035,  which  may  have  a  material  adverse  effect  on  our 
results of operations.

Under  current  Bermuda  law,  we  are  not  subject  to  tax  on 
income,  profits,  withholding,  capital  gains  or  capital 
transfers.  Furthermore,  we  have  obtained  from  the  Minister 
of  Finance  of  Bermuda  under  the  Exempted  Undertakings 
Tax  Protection  Act  1966  of  Bermuda,  an  assurance  that,  in 
the  event  that  Bermuda  enacts  legislation  imposing  tax 
computed  on  profits,  income,  any  capital  asset,  gain  or 
appreciation,  or  any  tax  in  the  nature  of  estate  duty  or 
inheritance  tax,  then  the  imposition  of  the  tax  will  not  be 
applicable  to  us  or  our  operations  until  March  31,  2035. 
Given  the  limited  duration  of  the  Minister  of  Finance's 
assurance we cannot be certain that we will not be subject to 
any Bermuda tax after that date, which may have a material 
adverse  effect  on  our  results  of  operations.  This  assurance 
does  not,  however,  prevent  the  imposition  of  taxes  on  any 
person  ordinarily  resident  in  Bermuda  or  any  company  in 
respect of its ownership of real property or leasehold interests 
in Bermuda.

The impact of Bermuda's letter of commitment to the OECD 
to  eliminate  harmful  tax  practices  is  uncertain  and  could 
adversely affect our tax status in Bermuda

for  Economic  Cooperation 

The  Organization 
and 
Development (“OECD”) has published reports and launched 
a global initiative among member and non-member countries 
on  measures  to  limit  harmful  tax  competition.  These 
measures  are  largely  directed  at  counteracting  the  effects  of 
tax  havens  and  preferential  tax  regimes  in  countries  around 
the  world.  Bermuda  was  not  listed  in  the  most  recent  report 
as  an  uncooperative  tax  haven  jurisdiction  because  it  had 
previously  committed  to  eliminate  harmful  tax  practices,  to 
embrace  international  tax  standards  for  transparency,  to 
exchange  information  and  to  eliminate  an  environment  that 
attracts  business  with  no  substantial  domestic  activity.  We 
are  not  able  to  predict  what  changes  will  arise  from  the 
commitment  or  whether  such  changes  will  subject  us  to 
additional taxes.

The  impact  of  commitments  made  by  the  government  of 
Bermuda  in  order  to  avoid  being  named  on  the  EU’s  list  of 
non-cooperative tax jurisdictions is uncertain and could have 
an adverse effect on our results of operations.

to  commitments  made  by 

On  December  5,  2017  the  Council  of  the  European  Union 
published  its  list  of  non-cooperative  jurisdictions  for  tax 
purposes  (the  “EU  Blacklist”).  Bermuda  was  not  named  on 
the  EU  Blacklist  due 
its 
government  to  improve  certain  “substance  requirement” 
deficiencies  that  were  identified  by  the  EU  during  the 
screening process. This commitment led to the passing of the 
Economic Substance Act 2018 (as amended) of Bermuda (the 
“ES  Act”)  in  December  2018,  which  came  into  force  on  1 
January  2019.  While  the  the  legislation  remains  subject  to 
further  clarification  and  interpretation,  it  is  not  currently 
possible  to  ascertain  the  steps  required  to  ensure  our 
continued compliance with the ES Act and makes it difficult 
to  predict  its  future  impact.  Any  entity  found  to  be  lacking 
adequate  economic  substance  may  be  fined  or  ordered  by  a 
court  to  take  action  to  remedy  such  failure  (or  face  being 
struck off the companies register). As a result, there is a risk 
that 
substance 
requirements under the ES Act could require Arch to enhance 
its  infrastructure  in  Bermuda,  and  this  may  result  in  some 
additional  operational  expenditures,  increased  tax  liabilities 
and/or compliance costs for Arch.

non-compliance  with 

economic 

its 

We  may  become  subject  to  increased  taxation  in  Bermuda 
and other countries as a result of the OECD's plan on “Base 
erosion and profit shifting.”

The OECD, with the support of the G20, initiated the “base 
erosion  and  profit  shifting”  (“BEPS”)  project  in  2013  in 
response to concerns that changes are needed to international 
tax laws to address situations where multinationals may pay 
little or no tax in certain jurisdictions by shifting profits away 
from  jurisdictions  where  the  activities  creating  those  profits 
may  take  place.  In  November  2015,  “final  reports”  were 
approved  for  adoption  by  the  G20  finance  ministers.  The 
final reports provide the basis for international standards for 

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corporate taxation that are designed to prevent, among other 
things, the artificial shifting of income to tax havens and low-
tax jurisdictions, the erosion of the tax base through interest 
deductions on intercompany debt and the artificial avoidance 
of  permanent  establishments  (i.e., 
tax  nexus  with  a 
jurisdiction). 

implement 

to  adopt  and 

Legislation 
these  standards, 
including  country  by  country  reporting,  has  been  enacted  or 
is currently under consideration in a number of jurisdictions. 
As a result, our income may be taxed in jurisdictions where it 
is not currently taxed and at higher rates of tax than currently 
taxed, which may substantially increase our effective tax rate. 
Also, the continued adoption of these standards may increase 
the complexity and costs associated with tax compliance and 
adversely  affect  our  financial  position  and  results  of 
operations.

In May 2019, the OECD published a “Programme of Work,” 
divided into two pillars, which is designed to address the tax 
challenges  created  by  an  increasing  digitalized  economy. 
Pillar  One  addresses  the  broader  challenge  of  a  digitalized 
economy  and  focuses  on  the  allocation  of  group  profits 
among taxing jurisdictions based on a market-based concept 
rather  than  historical  “permanent  establishment”  concepts. 
Pillar  Two  addresses  the  remaining  BEPS  risk  of  profit 
shifting  to  entities  in  low  tax  jurisdictions  by  introducing  a 
global  minimum  tax  and  a  proposed  tax  on  base  eroding 
payments,  which  would  operate  through  a  denial  of  a 
deduction  or  imposition  of  source-based  taxation  (including 
withholding  tax)  on  certain  payments.  In  January  2020,  the 
OECD released a statement excluding most financial services 
activities,  including  insurance  activities,  from  the  scope  of 
the  profit  reallocation  mechanism  in  Pillar  I.  The  OECD 
statement  cited  the  presence  of  commercial  (rather  than 
consumer)  customers  as  grounds  for  the  carve-out,  but  also 
acknowledged  that  a  “compelling  case”  could  be  made  that 
the  consumer-facing  business  lines  of  insurance  companies 
should  be  excluded  from  the  scope  of  Pillar  I  given  the 
that 
impact  of  regulations  and 
typically  ensure  that  residual  profits  are  largely  realized  in 
local  customer  markets.  However,  the  OECD  noted  that  the 
proper scope for Pillar I as applied to “unregulated elements 
the  financial  services  sector”  may  require  further 
of 
consideration. To date, the proposal has been written broadly 
enough  to  potentially  apply  to  our  activities,  and  we  are 
unable  to  determine  at  this  time  when  such  measures  would 
be implemented and if so, whether they will be in a form that 
whether  it  would  have  a  material  adverse  impact  on  our 
operations and results.

licensing  requirements 

The EU’s review of harmful tax competition could adversely 
affect  our  business,  financial  condition  and  results  of 
operations

to  address  concerns  relating 

During  2017,  the  EU  Economic  and  Financial  Affairs 
Council  (“ECOFIN”)  released  a  list  of  noncooperative 
jurisdictions for tax purposes. The stated aim of this list, and 
accompanying  report,  was  to  promote  good  governance 
worldwide  in  order  to  maximize  efforts  to  prevent  tax  fraud 
and  tax  evasion.  Bermuda  was  not  on  the  list  of  non-
cooperative jurisdictions, but did feature in the report (along 
jurisdictions)  as  having 
with  approximately  40  other 
committed 
to  economic 
substance  by  December  31,  2018.  In  accordance  with  that 
commitment, Bermuda has enacted the ES Act that came into 
force  on  1  January  2019,  that  requires  a  registered  entity 
other  than  an  entity  which  is  resident  for  tax  purposes  in 
certain jurisdictions outside Bermuda (“non-resident entity”) 
that carries on as a business any one or more of the “relevant 
activities” referred to in the ES Act, , which includes carrying 
on an insurance business, to maintain a substantial economic 
presence  in  Bermuda  and  to  satisfy  economic  substance 
that  must  satisfy  economic 
requirements.  Any  entity 
substance  requirements  but  fails  to  do  so  could  face 
automatic  disclosure  to  competent  authorities  in  the  EU  of 
the  information  filed  by  the  entity  with  the  Bermuda 
Registrar  of  Companies  in  connection  with  the  economic 
substance requirements and may also face financial penalties, 
restriction or regulation of its business activities and/or may 
be struck off as a registered entity in Bermuda.

At  present,  the  impact  of  these  new  economic  substance 
requirements  is  unclear,  and  it  is  impossible  to  predict  the 
nature  and  effect  of  these  requirements  on  us.  As  the 
legislation is new and remains subject to further clarification 
and interpretation, it is not currently possible to ascertain the 
precise  impact  of  the  ES  Act.  Compliance  with  economic 
substance  requirements  may  increase  the  complexity  and 
costs  of  carrying  on  our  business  and  adversely  affect  our 
financial condition and results of operations.

Application of the EU Anti-Tax Avoidance Directives

As part of the BEPS project, the EU Council adopted on 12 
July 2016 Council Directive (EU) 2016/1164 (“ATAD I”), as 
amended  by  Council  Directive  (EU)  2017/952  (“ATAD  II”, 
together  with  ATAD  I,  “ATAD”),  to  provide  for  minimum 
standard  across  EU  Member  States  for  tackling  aggressive 
tax  planning  involving  hybrid  tax  mismatches  and  interest 
deductibility.  ATAD  I  was  required  to  be  transposed  into 
domestic  Member  State  law  with  effect  from  January  1, 
2019,  whilst  ATAD  II  was  required  to  be  transposed  into 
domestic Member State law with effect from January 1, 2020 
(with  an  exception  in  respect  of  reverse  hybrid  mismatch 
provisions,  which  will  take  effect  on  January  1,  2022).  The 
full  impact  of  the  application  of  ATAD  is  not  yet  clear. 
However, ATAD could result in increased tax liabilities and/
or compliance costs and administrative burden for us.

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ITEM 1B. UNRESOLVED STAFF COMMENTS 

None.

ITEM 2. PROPERTIES

We lease office space in Bermuda where our principal offices are located. Our insurance group leases space for offices in the 
U.S., Canada, Bermuda, U.K., Europe and Australia. Our reinsurance group leases space for offices in the U.S., Bermuda, U.K., 
Europe, Canada and Dubai. Our mortgage group leases space for offices in the U.S., Hong Kong and Australia. We believe that 
the above described office space is adequate for our needs. However, as we continue to develop our business, we may open 
additional office locations in 2021.

ITEM 3. LEGAL PROCEEDINGS

We,  in  common  with  the  insurance  industry  in  general,  are  subject  to  litigation  and  arbitration  in  the  normal  course  of  our 
business. As of December 31, 2020, we were not a party to any litigation or arbitration which is expected by management to 
have a material adverse effect on our results of operations and financial condition and liquidity.

ITEM 4. MINE SAFETY DISCLOSURES

Not applicable.

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PART II

ITEM 5. MARKET FOR REGISTRANT’S COMMON EQUITY, RELATED STOCKHOLDER MATTERS 
AND ISSUER PURCHASES OF EQUITY SECURITIES

HOLDERS

As of February 19, 2021, and based on information provided to us by our transfer agent and proxy solicitor, there were 893 
holders  of  record  of  our  common  shares  (NASDAQ:  ACGL)  and  approximately  86,000  beneficial  holders  of  our  common 
shares. 

 The following table summarizes our purchases of common shares for the 2020 fourth quarter:

ISSUER PURCHASES OF EQUITY SECURITIES

Period

10/1/2020-10/31/2020
11/1/2020-11/30/2020
12/1/2020-12/31/2020

Total

Issuer Purchases of Common Shares

Average Price Paid 
per Share

Total Number of 
Shares Purchased as 
Part of Publicly 
Announced Plans or 
Programs

Approximate Dollar 
Value of Shares that 
May Yet be 
Purchased Under the 
Plan or Programs (2)

31.01 
31.28 
32.93 
32.07 

— 
— 
— 
— 

$ 
$ 
$ 
$ 

924,514 
920,548 
916,528 
916,528 

Total Number of 
Shares Purchased (1)
451
142,559
131,476
274,486

$ 
$ 
$ 
$ 

(1)  Includes  repurchases  by  Arch  Capital  of  shares,  from  time  to  time,  from  employees  in  order  to  facilitate  the  payment  of  withholding 
taxes on restricted shares granted and the exercise of stock appreciation rights. We purchased these shares at their fair market value, as 
determined by reference to the closing price of our common shares on the day the restricted shares vested or the stock appreciation rights 
were exercised.

(2)  Remaining amount available at December 31, 2020 under Arch Capital’s share repurchase authorization, under which repurchases may 

be effected from time to time in open market or privately negotiated transactions through December 31, 2021.

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Table of Contents

PERFORMANCE GRAPH

The  following  graph  compares  the  cumulative  total  shareholder  return  on  our  common  shares  for  each  of  the  last  five  years 
through  December  31,  2020  to  the  cumulative  total  return,  assuming  reinvestment  of  dividends,  of  (1)  S&P  500  Composite 
Stock  Index  (“S&P  500  Index”)  and  (2)  the  S&P  500  Property  &  Casualty  Insurance  Index.  The  share  price  performance 
presented below is not necessarily indicative of future results.

CUMULATIVE TOTAL SHAREHOLDER RETURN (1)(2)(3)

Base Period

Company Name/Index
l Arch Capital Group Ltd.
n S&P 500 Index
p S&P 500 Property & Casualty Insurance Index

12/31/15

12/31/16

12/31/17

12/31/18

12/31/19

12/31/20

$100.00   

$123.71   

$130.14   

$114.92   

$184.47   

$155.14 

$100.00   

$111.96   

$136.40   

$130.42   

$171.49   

$203.04 

$100.00   

$115.71   

$141.61   

$134.97   

$169.88   

$181.70 

(1) 
(2) 
(3) 

Stock price appreciation plus dividends.
The above graph assumes that the value of the investment was $100 on December 31, 2015.
This  graph  is  not  “soliciting  material,”  is  not  deemed  filed  with  the  SEC  and  is  not  to  be  incorporated  by  reference  in  any  filing  by  us  under  the 
Securities  Act  of  1933  or  the  Securities  and  Exchange  Act  of  1934,  whether  made  before  or  after  the  date  hereof  and  irrespective  of  any  general 
incorporation language in any such filing.

ITEM 6. SELECTED FINANCIAL DATA

Part II, Item 6 is no longer required as the Company has adopted certain provisions within the amendments to Regulation S-K 
that eliminate Item 301.

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2020  FORM 10-K

Arch Capital Group Ltd.S&P 500 IndexS&P 500 Property & Casualty Insurance Index12/31/1512/31/1612/31/1712/31/1812/31/1912/31/20$50.00$100.00$150.00$200.00$250.00 
 
 
Table of Contents

ITEM 7. MANAGEMENT’S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND 
RESULTS OF OPERATIONS

The  following  is  a  discussion  and  analysis  of  the  financial 
condition  and  results  of  operations  for  the  year  ended 
December  31,  2020  and  2019.  Comparisons  between  2019 
and  2018  have  been  omitted  from  this  Form  10-K,  but  may 
be  found  in  "Management's  Discussion  and  Analysis  of 
Financial  Condition  and  Results  of  Operations"  in  Part  II, 
Item 7 of the Company's Annual Report on Form 10-K year 
ended  December  31,  2019  filed  with  the  SEC.  This 
discussion  and  analysis  contains  forward-looking  statements 
which involve inherent risks and uncertainties. All statements 
other  than  statements  of  historical  fact  are  forward-looking 
statements.  These  statements  are  based  on  our  current 
assessment  of  risks  and  uncertainties.  Actual  results  may 
differ  materially  from  those  expressed  or  implied  in  these 
statements  and,  therefore,  undue  reliance  should  not  be 
placed  on  them.  Important  factors  that  could  cause  actual 
events  or  results  to  differ  materially  from  those  indicated  in 
such  statements  are  discussed  in  this  report,  including  the 
sections  entitled  “Cautionary  Note  Regarding  Forward-
Looking Statements,” and “Risk Factors.”

This  discussion  and  analysis  should  be  read  in  conjunction 
with our audited consolidated financial statements and notes 
thereto presented under Item 8. Tabular amounts are in U.S. 
Dollars in thousands, except share amounts, unless otherwise 
noted.

GENERAL

Overview

Arch  Capital  Group  Ltd.  (“Arch  Capital”  and,  together  with 
its  subsidiaries,  “we”  or  “us”)  is  a  publicly  listed  Bermuda 
exempted  company  with  approximately  $15.8  billion  in 
capital  at  December  31,  2020  and,  through  operations  in 
Bermuda,  the  United  States,  United  Kingdom,  Europe, 
Canada,  Australia  and  Hong  Kong,  writes  specialty  lines  of 
property  and  casualty  insurance  and  reinsurance,  as  well  as 
mortgage insurance and reinsurance, on a worldwide basis. It 
is our belief that our underwriting platform, our experienced 
management  team  and  our  strong  capital  base  have  enabled 
us  to  establish  a  strong  presence  in  the  insurance  and 
reinsurance markets.

The  worldwide  property  casualty  insurance  and  reinsurance 
industry  is  highly  competitive  and  has  traditionally  been 
subject to an underwriting cycle in which a hard market (high 
premium rates, restrictive underwriting standards, as well as 
terms  and  conditions,  and  underwriting  gains)  is  eventually 
followed  by  a  soft  market  (low  premium  rates,  relaxed 

underwriting  standards,  as  well  as  broader  terms  and 
conditions,  and  underwriting 
losses).  Property  casualty 
market  conditions  may  affect,  among  other  things,  the 
demand  for  our  products,  our  ability  to  increase  premium 
rates,  the  terms  and  conditions  of  the  insurance  policies  we 
write, changes in the products offered by us or changes in our 
business strategy.

The  financial  results  of  the  property  casualty  insurance  and 
reinsurance  industry  are  influenced  by  factors  such  as  the 
frequency  and/or  severity  of  claims  and  losses,  including 
natural  disasters  or  other  catastrophic  events,  variations  in 
interest  rates  and  financial  markets,  changes  in  the  legal, 
regulatory  and  judicial  environments,  inflationary  pressures 
and  general  economic  conditions.  These  factors  influence, 
among other things, the demand for insurance or reinsurance, 
the supply of which is generally related to the total capital of 
competitors in the market.

Mortgage  insurance  and  reinsurance  is  subject  to  similar 
cycles to property casualty except that they have historically 
been more dependent on macroeconomic conditions.

Current Outlook

In keeping with our longstanding underwriting approach, we 
look  for  acceptable  books  of  business  to  underwrite  without 
sacrificing  discipline.  We  continue  to  write  a  portion  of  our 
overall book in catastrophe-exposed business, which has the 
potential  to  increase  the  volatility  of  our  operating  results. 
From an operating perspective, our 2020 results reflected the 
benefits of rate improvements as all three of our underwriting 
segments  are  seeing  attractive  opportunities  to  grow  at 
acceptable rates of return. We know from experience that this 
is an opportune time to significantly expand our participation 
into this hardening market. As such, we raised an additional 
$1.0 billion of capital in the form of long-term senior notes at 
the end of June 2020 and continue to deploy capital to those 
lines that provide the best expected returns.

Rate  improvements  in  2020  have  enabled  us  to  continue  to 
expand  writings  in  our  property  casualty  segments  as  risk 
adjusted  returns  are  increasingly  achieved.  In  the  insurance 
segment,  our  renewal  rate  changes  increased  approximately 
12% in the 2020 fourth quarter and we believe that this trend 
of increasing rates will continue through 2021. 

COVID-19  has  continued  to  significantly  impact  social  and 
economic  activity  in  the  U.S.  and  global  markets.  We  are 
committed  to  the  safety  of  our  employees,  including 

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restricting travel and instituting an extensive work from home 
policy. These actions have helped prevent a major disruption 
to  our  clients  and  operations.  The  impact  of  the  spread  of 
COVID-19  has  changed  some  of  our  outlook  for  2021,  but 
we are navigating this period with a strong capital base. The 
extent  to  which  COVID-19  impacts  our  business,  results  of 
operations  and  financial  results  depends  on  numerous 
evolving factors including, but not limited to, the magnitude 
and duration of COVID-19, the extent to which it will impact 
macroeconomic  conditions,  the  speed  of  the  anticipated 
recovery and governmental, business and individual reactions 
to  the  pandemic.  Given  the  continuing  evolution  of  the 
COVID-19  outbreak  and  the  response  to  curb  its  spread 
including the release of vaccines, we continue to not be able 
to  estimate  the  future  effects  of  the  COVID-19  outbreak  to 
our results of operations, financial condition, or liquidity.

For 
the  2020  period,  we  recorded  $272  million  for 
COVID-19 losses across our property casualty segments. We 
continue  to  have  limited  information  to  accurately  quantify 
our  potential  exposure  to  the  pandemic  in  certain  areas  but 
have  established  IBNR  reserves  for  occurrences  based  on 
policy terms and conditions including limits, sub-limits, and 
deductibles. These reserves were recorded across a number of 
lines  of  business,  such  as  trade  credit,  travel,  workers 
compensation and property where we have limited exposure 
to policies that do not contain a specific pandemic exclusion 
and/or explicitly afford business interruption coverage under 
a pandemic. Given the unusual circumstances and breadth of 
the  pandemic,  we  have  classified  COVID-19  losses  as  a 
catastrophe.

For  our  U.S.  primary  mortgage  operations, 
reported 
delinquencies  were  4.19%  at  December  31,  2020,  compared 
to  4.69%  at  September  30,  2020.  Delinquencies  continue  to 
be  better  than  our  expectations  at  the  beginning  of  the 
COVID-19 pandemic. However, delinquency rates remain at 
elevated  levels,  reflecting  the  impact  of  the  recession  and 
forbearance  programs  under  the  CARES  Act  (including  any 
extensions)  to  borrowers  experiencing  a  hardship  during 
COVID-19. Forbearance allows for mortgage payments to be 
suspended  for  up  to  18  months  along  with  a  suspension  of 
foreclosures  and  evictions.  See  “Results  of  Operations—
Mortgage  Segment”  for  further  details  on  our  mortgage 
operations.

Record  mortgage  originations  fueled  by  low  mortgage  rates 
are  continuing  to  create  surges  in  both  purchase  and 
refinancing activity. There remains significant uncertainty on 
the economy’s health and the lack of a full understanding on 
how  COVID-19  may  impact  individual  borrowers  and,  as 
such,  caution  is  warranted  on  predicting  how  this  will 
ultimately affect our results of operations. 

We believe that delinquency rates could increase in the future 
from  the  current  level,  as  additional  borrowers  may  request 

forbearance  on  their  mortgage  loans  under  the  CARES  Act. 
We would record loss reserves on these delinquencies which 
would  result  in  elevated  levels  of  incurred  losses  over  the 
coming quarters. Over time, we would expect many of these 
delinquencies to cure and revert back to performing loans as 
the economy returns to a less-stressed state. At this time, we 
do not have enough visibility to predictably forecast the rate 
at  which  forbearance  delinquencies  will  be  reported  to  us, 
cure  or  ultimately  turn  into  claims  on  an  annual,  let  alone  a 
that 
quarterly  basis.  We  are  cautiously  optimistic 
delinquencies  will  continue  to  cure  as  vaccines  enable 
economies to reopen. Record home purchases in the U.S. in 
2020  supported  a  5%  price  appreciation  nationwide  while 
historically 
interest  rates  accelerated  housing  and 
refinancing  demand.  Our  outlook  for  continued  growth  in 
2021 remains positive. For further discussion of the potential 
impacts of COVID-19, see “ITEM 1A—Risk Factors”.

low 

transfer  programs 

We  remain  committed  to  providing  solutions  across  many 
offerings as the marketplace evolves, including the mortgage 
credit  risk 
initiated  by  government 
sponsored enterprises, or “GSEs.” In addition, we enter into  
aggregate  excess  of  loss  mortgage  reinsurance  agreements 
with  various 
reinsurance  companies 
domiciled  in  Bermuda  (the  Bellemeade  Agreements)  and 
issue  mortgage 
increasing  our 
protection  for  mortgage  tail  risk.  The  Bellemeade  structures 
provide  approximately  $4.0  billion  of  aggregate  reinsurance 
coverage.

special  purpose 

linked  notes, 

insurance 

FINANCIAL MEASURES

Management uses the following three key financial indicators 
in  evaluating  our  performance  and  measuring  the  overall 
growth  in  value  generated  for  Arch  Capital’s  common 
shareholders:

Book Value per Share

and 

common 

Book value per share represents total common shareholders’ 
equity  available  to  Arch  divided  by  the  number  of  common 
shares 
equivalents  outstanding. 
share 
Management  uses  growth  in  book  value  per  share  as  a  key 
measure of the value generated for our common shareholders 
each period and believes that book value per share is the key 
driver  of  Arch  Capital’s  share  price  over  time.  Book  value 
per  share 
impacted  by,  among  other  factors,  our 
underwriting results, investment returns and share repurchase 
activity,  which  has  an  accretive  or  dilutive  impact  on  book 
value per share depending on the purchase price. Book value 
per  share  was  $30.31  at  December  31,  2020,  a  14.7% 
increase  from  $26.42  at  December  31,  2019.  The  growth  in 
2020  reflected  strong  underwriting  results  and  investment 
returns.

is 

ARCH CAPITAL

51

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Table of Contents

Operating Return on Average Common Equity

income  available 

Operating  return  on  average  common  equity  (“Operating 
ROAE”)  represents  annualized  after-tax  operating  income 
available  to  Arch  common  shareholders  divided  by  average 
common  shareholders’  equity  available  to  Arch  during  the 
to  Arch 
period.  After-tax  operating 
common shareholders, a “non-GAAP measure” as defined in 
the  SEC  rules,  represents  net  income  available  to  Arch 
common shareholders, excluding net realized gains or losses, 
equity  in  net  income  or  loss  of  investments  accounted  for 
using the equity method, net foreign exchange gains or losses 
and  transaction  costs  and  other,  net  of  income  taxes. 
Management uses Operating ROAE as a key measure of the 
to  Arch  common  shareholders.  See 
return  generated 
“Comment  on  Non-GAAP  Financial  Measures.”  Our 
Operating ROAE was 4.8% for 2020, compared to 12.0% for 
2019. The lower Operating ROAE for 2020 reflected impact 
of  elevated  catastrophic  activity  including  COVID-19  on 
underwriting results and lower investment income than in the 
2019 periods.

Total Return on Investments

Total  return  on  investments  includes  investment  income, 
equity  in  net  income  or  loss  of  investments  accounted  for 
using the equity method, net realized gains and losses and the 
change  in  unrealized  gains  and  losses  generated  by  Arch’s 
investment  portfolio.  Total  return  is  calculated  on  a  pre-tax 
basis  and  before  investment  expenses  excluding  amounts 
reflected  in  the  ‘other’  segment,  and  reflects  the  effect  of 
financial  market  conditions  along  with  foreign  currency 
fluctuations. Management uses total return on investments as 
a  key  measure  of  the  return  generated  to  Arch  common 
shareholders  on  the  capital  held  in  the  business,  and 
compares  the  return  generated  by  our  investment  portfolio 
against benchmark returns which we measured our portfolio 
against during the periods.

The  following  table  summarizes  the  pre-tax  total  return 
(before  investment  expenses)  of  investment  held  by  Arch 
compared  to  the  benchmark  return  (both  based  in  U.S. 
Dollars) against which we measured our portfolio during the 
periods:

Pre-tax total return (before investment 
expenses):

Year Ended December 31, 2020

Year Ended December 31, 2019

Arch
Portfolio (1)

Benchmark
 Return

 7.77 %

 7.30 %

 7.16 %

 7.39 %

(1) Our investment expenses were approximately 0.31% and 0.33%, 
respectively, of average invested assets in 2020 and 2019.

Total  return  for  our  investment  portfolio  outperformed  the 
benchmark  return  index  in  2020  and  reflected  the  impact  of 

lower  interest  rates  on  our  fixed  income  portfolio.  The 
duration of our investment portfolio decreased to 3.01 years 
at  year-end,  reflecting  our  ongoing  positioning  of  the 
portfolio  towards  shorter-term  and  high  credit  opportunities, 
as  we  expect  the  yield  curve  may  steepen  over  the  coming 
quarters.

The benchmark return index is a customized combination of 
indices  intended  to  approximate  a  target  portfolio  by  asset 
mix  and  average  credit  quality  while  also  matching  the 
approximate  estimated  duration  and  currency  mix  of  our 
insurance and reinsurance liabilities. Although the estimated 
duration and average credit quality of this index will move as 
the  duration  and  rating  of  its  constituent  securities  change, 
generally we do not adjust the composition of the benchmark 
return  index  except  to  incorporate  changes  to  the  mix  of 
liability  currencies  and  durations  noted  above.  The 
benchmark  return 
interpreted  as 
expressing  a  preference  for  or  aversion  to  any  particular 
sector  or  sector  weight.  The  index  is  intended  solely  to 
provide, unlike many master indices that change based on the 
size of their constituent indices, a relatively stable basket of 
investable  indices.  At  December  31,  2020,  the  benchmark 
return  index  had  an  average  credit  quality  of  “Aa3”  by 
Moody’s, an estimated duration of 3.02 years.

index  should  not  be 

The  benchmark  return  index  included  weightings  to  the 
following indices:

ICE BoAML 1-10 Year A - AAA U.S. Corporate Index

ICE BoAML 1-5 Year U.S. Treasury Index

MSCI ACWI Net Total Return USD Index

ICE BoAML 3-5 Year Fixed Rate Asset Backed Securities Index

S&P Leveraged Loan Total Return Index

Bloomberg Barclays CMBS Invest Grade Aaa Total Return 
Index

ICE BoAML 1-10 Year BBB U.S. Corporate Index

ICE BoAML U.S. Mortgage Backed Securities Index

ICE BoAML 1-5 Year U.K. Gilt Index

ICE BoAML German Government 1-10 Year Index
ICE BoAML 0-3 Month U.S. Treasury Bill Index

ICE BoAML 1-10 Year U.S. Municipal Securities Index

ICE BoAML 5-10 Year U.S. Treasury Index

ICE BoAML 1-5 Year Australia Government Index

ICE BoAML U.S. High Yield Constrained Index

ICE BoAML 1-5 Year Canada Government Index

Bloomberg Barclays Global High Yield Total Return Index

Hedge Fund Research HFRX ED Distressed Restructuring Index 
(Flagship Funds)

Dow Jones Global ex-US Select Real Estate Securities Total 
Return Net Index

FTSE Nareit All Mortgage Capped Index Total Return USD

Bloomberg Barclays CMBS: Erisa Eligible Unhedged USD

ICE BoAML 20+ Year Canada Government Index

%

 21.00 %

 15.00 

 8.60 

 7.00 

 5.20 

 5.00 

 4.00 

 4.00 

 4.00 

 3.50 
 3.25 

 3.00 

 3.00 

 2.75 

 2.50 

 2.00 

 1.50 

 1.50 

 0.90 

 0.90 

 0.90 

 0.50 

Total

 100.00 %

ARCH CAPITAL

52

2020  FORM 10-K

Table of Contents

COMMENT ON NON-GAAP FINANCIAL MEASURES

Throughout this filing, we present our operations in the way 
we  believe  will  be  the  most  meaningful  and  useful  to 
investors,  analysts,  rating  agencies  and  others  who  use  our 
financial  information  in  evaluating  the  performance  of  our 
company.  This  presentation  includes  the  use  of  after-tax 
operating  income  available  to  Arch  common  shareholders, 
which  is  defined  as  net  income  available  to  Arch  common 
shareholders, excluding net realized gains or losses, equity in 
net  income  or  loss  of  investments  accounted  for  using  the 
equity  method,  net  foreign  exchange  gains  or  losses, 
transaction costs and other and income taxes, and the use of 
annualized operating return on average common equity. The 
presentation  of  after-tax  operating  income  available  to  Arch 
common  shareholders  and  annualized  operating  return  on 
average common equity are non-GAAP financial measures as 
defined in Regulation G. The reconciliation of such measures 
to  net  income  available  to  Arch  common  shareholders  and 
annualized  return  on  average  common  equity  (the  most 
directly comparable GAAP financial measures) in accordance 
with Regulation G is included under “Results of Operations” 
below. 

We  believe  that  net  realized  gains  or  losses,  equity  in  net 
income or loss of investments accounted for using the equity 
method, net foreign exchange gains or losses and transaction 
costs and other in any particular period are not indicative of 
the performance of, or trends in, our business. Although net 
realized  gains  or  losses,  equity  in  net  income  or  loss  of 
investments  accounted  for  using  the  equity  method  and  net 
foreign  exchange  gains  or  losses  are  an  integral  part  of  our 
operations, the decision to realize investment gains or losses, 
the  recognition  of  the  change  in  the  carrying  value  of 
investments  accounted  for  using  the  fair  value  option  in  net 
realized  gains  or  losses,  the  recognition  of  net  impairment 
losses,  the  recognition  of  equity  in  net  income  or  loss  of 
investments  accounted  for  using  the  equity  method  and  the 
losses  are 
recognition  of  foreign  exchange  gains  or 
independent of the insurance underwriting process and result, 
in  large  part,  from  general  economic  and  financial  market 
conditions.  Furthermore,  certain  users  of  our  financial 
information  believe  that,  for  many  companies,  the  timing  of 
the  realization  of  investment  gains  or  losses  is  largely 
opportunistic.  In  addition,  changes  in  allowance  for  credit 
losses  and  net  impairment  losses  recognized  in  earnings  on 
the  Company’s  investments  represent  other-than-temporary 
declines  in  expected  recovery  values  on  securities  without 
actual realization. The use of the equity method on certain of 
our investments in certain funds that invest in fixed maturity 
securities is driven by the ownership structure of such funds 
(either limited partnerships or limited liability companies). In 
applying  the  equity  method,  these  investments  are  initially 
recorded at cost and are subsequently adjusted based on our 
proportionate  share  of  the  net  income  or  loss  of  the  funds 

(which include changes in the market value of the underlying 
securities  in  the  funds).  This  method  of  accounting  is 
different  from  the  way  we  account  for  our  other  fixed 
maturity securities and the timing of the recognition of equity 
in net income or loss of investments accounted for using the 
equity  method  may  differ  from  gains  or  losses  in  the  future 
upon sale or maturity of such investments. Transaction costs 
and  other  include  advisory,  financing,  legal,  severance, 
incentive compensation and other transaction costs related to 
acquisitions. We believe that transaction costs and other, due 
to  their  non-recurring  nature,  are  not  indicative  of  the 
performance of, or trends in, our business performance. Due 
to  these  reasons,  we  exclude  net  realized  gains  or  losses, 
equity  in  net  income  or  loss  of  investments  accounted  for 
using the equity method, net foreign exchange gains or losses 
and transaction costs and other from the calculation of after-
tax  operating 
common 
shareholders.

to  Arch 

available 

income 

income  available 

We  believe  that  showing  net  income  available  to  Arch 
common  shareholders  exclusive  of  the  items  referred  to 
above  reflects  the  underlying  fundamentals  of  our  business 
since  we  evaluate  the  performance  of  and  manage  our 
business  to  produce  an  underwriting  profit.  In  addition  to 
presenting  net 
to  Arch  common 
shareholders,  we  believe  that  this  presentation  enables 
investors  and  other  users  of  our  financial  information  to 
analyze  our  performance  in  a  manner  similar  to  how 
management analyzes performance. We also believe that this 
measure  follows  industry  practice  and,  therefore,  allows  the 
users  of  financial  information  to  compare  our  performance 
with  our  industry  peer  group.  We  believe  that  the  equity 
analysts and certain rating agencies which follow us and the 
insurance  industry  as  a  whole  generally  exclude  these  items 
from their analyses for the same reasons.

includes 

information 

Our  segment 
the  presentation  of 
consolidated  underwriting  income  or  loss  and  a  subtotal  of 
underwriting income or loss before the contribution from the 
the  pre-tax 
‘other’  segment.  Such  measures  represent 
profitability  of  our  underwriting  operations  and  include  net 
premiums earned plus other underwriting income, less losses 
and loss adjustment expenses, acquisition expenses and other 
operating  expenses.  Other  operating  expenses  include  those 
operating  expenses  that  are  incremental  and/or  directly 
attributable 
individual  underwriting  operations. 
Underwriting  income  or  loss  does  not  incorporate  items 
included in our corporate (non-underwriting) segment. While 
these  measures  are  presented 
in  note  4,  “Segment 
Information,” to our consolidated financial statements in Item 
8,  they  are  considered  non-GAAP  financial  measures  when 
presented  elsewhere  on  a  consolidated  basis.  The 
reconciliations  of  underwriting  income  or  loss  to  income 
before  income  taxes  (the  most  directly  comparable  GAAP 
financial  measure)  on  a  consolidated  basis  and  a  subtotal 
in 
before 

the  contribution  from 

the  ‘other’  segment, 

to  our 

ARCH CAPITAL

53

2020  FORM 10-K

Table of Contents

accordance with Regulation G, is shown in note 4, “Segment 
Information,” to our consolidated financial statements in Item 
8.

We measure segment performance for our three underwriting 
segments  based  on  underwriting  income  or  loss.  We  do  not 
manage  our  assets  by  underwriting  segment,  with  the 
exception of goodwill and intangible assets, and, accordingly, 
investment income and other non-underwriting related items 
are  not  allocated  to  each  underwriting  segment.  For  the 
‘other’  segment,  performance  is  measured  based  on  net 
income or loss.

fluctuations.  In  addition,  total  return  incorporates  the  timing 
of investment returns during the periods. There is no directly 
comparable  GAAP  financial  measure  for 
total  return. 
Management  uses  total  return  on  investments  as  a  key 
measure  of 
to  Arch  common 
return  generated 
shareholders  on  the  capital  held  in  the  business,  and 
compares  the  return  generated  by  our  investment  portfolio 
against benchmark returns which we measured our portfolio 
against during the periods.

the 

RESULTS OF OPERATIONS

income  or 

loss  before 

Along with consolidated underwriting income, we provide a 
the 
subtotal  of  underwriting 
contribution from the ‘other’ segment. Pursuant to generally 
accepted  accounting  principles,  Watford  is  considered  a 
variable  interest  entity  and  we  concluded  that  we  are  the 
primary beneficiary of Watford. As such, we consolidate the 
results  of  Watford  in  our  consolidated  financial  statements, 
although  we  only  own  approximately  13%  of  Watford’s 
common  equity  as  of  December  31,  2020.  Watford  has  its 
own  management  and  board  of  directors  that  is  responsible 
for  its  results  and  profitability.  In  addition,  we  do  not 
guarantee  or  provide  credit  support  for  Watford.  Since 
Watford  is  an  independent  company,  the  assets  of  Watford 
can be used only to settle obligations of Watford and Watford 
is solely responsible for its own liabilities and commitments. 
Our  financial  exposure  to  Watford  is  limited  to  our 
investment in Watford’s senior notes, common and preferred 
shares  and  counterparty  credit  risk  (mitigated  by  collateral) 
arising  from  reinsurance  transactions.  We  believe  that 
presenting certain information excluding the ‘other’ segment 
enables investors and other users of our financial information 
to  analyze  our  performance  in  a  manner  similar  to  how  our 
management analyzes performance.

Our presentation of segment information includes the use of a 
current  year  loss  ratio  which  excludes  favorable  or  adverse 
development  in  prior  year  loss  reserves.  This  ratio  is  a  non-
GAAP  financial  measure  as  defined  in  Regulation  G.  The 
reconciliation  of  such  measure  to  the  loss  ratio  (the  most 
directly comparable GAAP financial measure) in accordance 
with Regulation G is shown on the individual segment pages. 
Management utilizes the current year loss ratio in its analysis 
of the underwriting performance of each of our underwriting 
segments.

Total  return  on  investments  includes  investment  income, 
equity  in  net  income  or  loss  of  investments  accounted  for 
using the equity method, net realized gains and losses and the 
change  in  unrealized  gains  and  losses  generated  by  Arch’s 
investment  portfolio.  Total  return  is  calculated  on  a  pre-tax 
basis  and  before  investment  expenses,  excludes  amounts 
reflected  in  the  ‘other’  segment,  and  reflects  the  effect  of 
financial  market  conditions  along  with  foreign  currency 

The  following  table  summarizes  our  consolidated  financial 
data,  including  a  reconciliation  of  net  income  available  to 
Arch  common  shareholders  to  after-tax  operating  income 
available  to  Arch  common  shareholders.  Each  line  item 
reflects the impact of our percentage ownership of Watford’s 
common equity during such period.

Net income available to Arch common 
shareholders

Net realized (gains) losses

Equity in net (income) loss of investments 
accounted for using the equity method

Net foreign exchange (gains) losses

Transaction costs and other

Income tax expense (benefit) (1)

Year Ended December 31,

2020

2019

$  1,363,909  $  1,594,707 

(814,808) 

(349,848) 

(146,693) 

(123,672) 

80,591 

9,964 

64,145 

10,732 

14,444 

16,276 

After-tax operating income available to Arch 
common shareholders

$  557,108  $  1,162,639 

Beginning common shareholders’ equity

$ 10,717,371  $  8,659,827 

Ending common shareholders’ equity

  12,325,886 

  10,717,371 

Average common shareholders’ equity 

$ 11,521,629  $  9,688,599 

Annualized return on average common equity 
% 

Annualized operating return on average 
common equity %

11.8 

4.8 

16.5 

12.0 

(1)

Income tax on net realized gains or losses, equity in net income or loss 
of  investments  accounted  for  using  the  equity  method,  net  foreign 
exchange  gains  or  losses  and  transaction  costs  and  other  reflects  the 
relative mix reported by jurisdiction and the varying tax rates in each 
jurisdiction.

Results  in  all  periods  presented  reflected  the  impact  of 
current insurance and reinsurance market conditions and the 
impact of low interest yields on our investment portfolio.

Segment Information

We classify our businesses into three underwriting segments 
—  insurance,  reinsurance  and  mortgage  —  and  two  other 
operating  segments  —  corporate  (non-underwriting)  and 
‘other.’  Our  insurance,  reinsurance  and  mortgage  segments 
each  have  managers  who  are  responsible  for  the  overall 

ARCH CAPITAL

54

2020  FORM 10-K

 
 
 
 
 
 
 
 
 
 
 
 
 
 
Table of Contents

profitability of their respective segments and who are directly 
accountable to our chief operating decision makers, the Chief 
Executive  Officer  of  Arch  Capital,  Chief  Financial  Officer 
and  Treasurer  of  Arch  Capital  and  the  President  and  Chief 
Underwriting  Officer  of  Arch  Capital.  The  chief  operating 
decision  makers  do  not  assess  performance,  measure  return 
on equity or make resource allocation decisions on a line of 
business  basis.  Management  measures  segment  performance 
for  our  three  underwriting  segments  based  on  underwriting 
income or loss. We do not manage our assets by underwriting 
segment,  with  the  exception  of  goodwill  and  intangible 
assets,  and,  accordingly,  investment  income  is  not  allocated 
to each underwriting segment.

segments  using 

the 
reportable 
We  determined  our 
management  approach  described  in  accounting  guidance 
regarding  disclosures  about  segments  of  an  enterprise  and 
related information. The accounting policies of the segments 
are  the  same  as  those  used  for  the  preparation  of  our 
consolidated  financial  statements.  Intersegment  business  is 
allocated  to  the  segment  accountable  for  the  underwriting 
results.

Insurance Segment

The  following  tables  set  forth  our  insurance  segment’s 
underwriting results:

2020
$ 4,688,562 
Gross premiums written
 (1,525,655) 
Premiums ceded
Net premiums written
 3,162,907 
Change in unearned premiums   (291,487) 
 2,871,420 
Net premiums earned
(31) 
Other underwriting income

Year Ended December 31,
2019
$ 3,907,993 
 (1,266,267) 
 2,641,726 
  (244,646) 
 2,397,080 
— 

% Change
20.0 

19.7 

19.8 

Losses and loss adjustment 
expenses
Acquisition expenses
Other operating expenses
Underwriting income (loss)

 (2,092,453) 
  (418,483) 
  (489,153) 
$ (128,700) 

 (1,615,475) 
  (361,614) 
  (454,770) 
$  (34,779) 

Premiums Written.

The  following  tables  set  forth  our  insurance  segment’s  net 
premiums written by major line of business:

Year Ended December 31,

2020

2019

Amount

%

Amount

%

$ 

619,034 
743,486 

437,973 

19.6
23.5

13.8

$ 

368,120 
534,323 

426,535 

13.9
20.2

16.1

364,104 

11.5

369,202 

14.0

297,330 

9.4

228,023 

8.6

212,974 
156,119 
331,887 

6.7
4.9
10.5

305,170 
111,708 
298,645 

11.6
4.2
11.3

Property, energy, 
marine and aviation
Professional Lines

Programs

Construction and 
national accounts

Excess and surplus 
casualty

Travel, accident and 
health
Lenders products
Other

Total

$  3,162,907 

100.0

$  2,641,726 

100.0

Net premiums written by the insurance segment were 19.7% 
higher  in  2020  than  in  2019.  The  higher  level  of  net 
premiums  written  reflected  increases  across  most  lines  of 
business,  due  in  part  to  new  business  opportunities,  rate 
increases and growth in existing accounts, partially offset by 
a decrease in travel business, reflecting the ongoing impact of 
the COVID-19 global pandemic.

Net Premiums Earned. 

The  following  tables  set  forth  our  insurance  segment’s  net 
premiums earned by major line of business:

Year Ended December 31,

2020

2019

Amount

%

Amount

%

Property, energy, 
marine and aviation
Professional Lines

$ 

517,247 
655,872

18.0
22.8

$ 

298,966 
499,224

12.5
20.8

(270.1) 

Programs

432,854

15.1

414,103

17.3

Underwriting Ratios
Loss ratio
Acquisition expense ratio
Other operating expense ratio
Combined ratio

 72.9 %
 14.6 %
 17.0 %
 104.5 %

% Point 
Change

 67.4 %  
 15.1 %  
 19.0 %  
 101.5 %  

5.5 
(0.5) 
(2.0) 
3.0 

segment 

insurance 

consists  of  our 

insurance 
The 
underwriting  units  which  offer  specialty  product  lines  on  a 
worldwide  basis,  as  described 
in  note  4,  “Segment 
Information,” to our consolidated financial statements in Item 
8.

Construction and 
national accounts

Excess and surplus 
casualty

Travel, accident and 
health

Lenders products

Other

Total

387,934

13.5

325,687

13.6

270,620

190,944

114,687

301,262

9.4

6.6

4.0

10.5

200,615

8.4

305,085

66,079

287,321

12.7

2.8

12.0

$  2,871,420 

100.0

$  2,397,080 

100.0

ARCH CAPITAL

55

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Table of Contents

Losses and Loss Adjustment Expenses. 

Reinsurance Segment 

The table below shows the components of the insurance 
segment’s loss ratio:

The following tables set forth our reinsurance segment’s 
underwriting results:

Current year

Prior period reserve development

Loss ratio

Current Year Loss Ratio. 

Year Ended December 31,

2020

2019

 73.2 %

 (0.3) %

 72.9 %

 68.1 %

 (0.7) %

 67.4 %

The  insurance  segment’s  current  year  loss  ratio  was  5.1 
points  higher  in  2020  than  in  2019.  The  2020  loss  ratio 
included 9.5 points of current year catastrophic event activity, 
including  4.1  points  for  exposure  related  to  COVID-19, 
compared to 1.4 points in 2019. The balance of the change in 
the  2020  loss  ratio  resulted,  in  part,  from  the  effect  of  rate 
increases,  changes  in  mix  of  business  and  the  level  of 
attritional losses.

Prior Period Reserve Development.

The insurance segment’s net favorable development was $7.8 
million,  or  0.3  points,  for  2020,  compared  to  $15.8  million, 
or 0.7 points, for 2019. See note 5, “Reserve for Losses and 
Loss  Adjustment  Expenses,”  to  our  consolidated  financial 
statements  in  Item  8  for  information  about  the  insurance 
segment’s prior year reserve development.

2020
$ 3,472,086 
Gross premiums written
 (1,014,716) 
Premiums ceded
Net premiums written
 2,457,370 
Change in unearned premiums   (295,141) 
 2,162,229 
Net premiums earned

Year Ended December 31,
2019
$ 2,323,223 
  (720,500) 
 1,602,723 
  (136,334) 
 1,466,389 

% Change
49.5 

53.3 

47.5 

Other underwriting income 
(loss)

Losses and loss adjustment 
expenses
Acquisition expenses
Other operating expenses
Underwriting income

4,454 

6,444 

 (1,628,320) 
  (354,048) 
  (168,011) 
$  16,304 

 (1,011,329) 
  (239,032) 
  (141,484) 
$  80,988 

Underwriting Ratios
Loss ratio
Acquisition expense ratio
Other operating expense ratio
Combined ratio

 75.3 %
 16.4 %
 7.8 %
 99.5 %

 69.0 %  
 16.3 %  
 9.6 %  
 94.9 %  

(79.9) 

% Point 
Change
6.3 
0.1 
(1.8) 
4.6 

The  reinsurance  segment  consists  of  our  reinsurance 
underwriting  units  which  offer  specialty  product  lines  on  a 
in  note  4,  “Segment 
worldwide  basis,  as  described 
Information,” to our consolidated financial statements in Item 
8.

Underwriting Expenses. 

Premiums Written. 

The  insurance  segment’s  underwriting  expense  ratio  was 
31.6%  in  2020,  compared  to  34.1%  in  2019,  with  the 
decrease  primarily  primarily  due  to  growth  in  net  premiums 
earned.

The following tables set forth our reinsurance segment’s net 
premiums written by major line of business:

Year Ended December 31,

2020

2019

Amount

%

Amount

%

Property excluding 
property catastrophe
Property catastrophe

Other Specialty
Casualty
Marine and aviation
Other
Total

$ 

697,086 
286,210 

709,308 
542,319 
141,414 
81,033
$  2,457,370 

28.4
11.6

28.9
22.1
5.8
3.3
100.0

$ 

403,320 
110,643 

466,977 
510,374 
53,679 
57,730
$  1,602,723 

25.2
6.9

29.1
31.8
3.3
3.6
100.0

Gross premiums written by the reinsurance segment in 2020 
were 49.5% higher than in 2019, while net premiums written 
were 53.3% higher than in 2019. The growth in net premiums 
written  reflected 
lines  of  business, 
primarily  due  to  growth  in  existing  accounts,  new  business, 
and rate increases. 

increases 

in  most 

ARCH CAPITAL

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2020  FORM 10-K

 
 
 
 
 
 
 
 
 
 
 
 
 
 
Table of Contents

Net Premiums Earned. 

Underwriting Expenses.

The following tables set forth our reinsurance segment’s net 
premiums earned by major line of business:

The  underwriting  expense  ratio  for  the  reinsurance  segment 
was  24.2%  in  2020,  compared  to  25.9%  in  2019,  reflecting 
growth in net premiums earned.

Year Ended December 31,

2020

2019

Amount

%

Amount

%

Mortgage Segment

Property excluding 
property catastrophe
Property catastrophe

Other Specialty
Casualty
Marine and aviation
Other
Total

$ 

562,208 
237,736 

626,409 
549,056 
109,624 
77,196 
$  2,162,229 

26.0
11.0

29.0
25.4
5.1
3.6
100.0

$ 

362,841 
90,934 

478,517 
429,288 
48,274 
56,535 
$  1,466,389 

24.7
6.2

32.6
29.3
3.3
3.9
100.0

Net  premiums  earned  in  2020  were  47.5%  higher  than  in 
2019,  reflecting  changes  in  net  premiums  written  over  the 
previous five quarters, including the mix and type of business 
written.

Other Underwriting Income (Loss).

Our  mortgage  operations  include  U.S.  and  international 
mortgage  insurance  and  reinsurance  operations  as  well  as 
participation  in  GSE  credit  risk-sharing  transactions.  Our 
mortgage  group  includes  direct  mortgage  insurance  in  the 
U.S.  primarily  through  Arch  Mortgage  Insurance  Company, 
United  Guaranty  Residential  Insurance  Company  and    Arch 
Mortgage  Guaranty  Company  (together,  “Arch  MI  U.S.”); 
mortgage reinsurance through Arch Re Bermuda to mortgage 
insurers  on  both  a  proportional  and  non-proportional  basis 
globally;  direct  mortgage  insurance  in  Europe  through  Arch 
Insurance (EU) and in Hong Kong through Arch MI Asia; in 
Australia  through  Arch  LMI;  and  participation  in  various 
GSE credit risk-sharing products primarily through Arch Re 
Bermuda.

Other  underwriting  income  in  2020  was  $4.5  million, 
compared to $6.4 million in 2019.

The  following  tables  set  forth  our  mortgage  segment’s 
underwriting results.

Year Ended December 31,
2019
$ 1,466,265 
  (204,509) 
 1,261,756 

2020
$ 1,473,999 
  (194,149) 
 1,279,850 

% Change
0.5 

Gross premiums written
Premiums ceded
Net premiums written

Change in unearned 
premiums
Net premiums earned
Other underwriting income

Losses and loss adjustment 
expenses
Acquisition expenses
Other operating expenses
Underwriting income

  118,085 
 1,397,935 
20,316 

  104,584 
 1,366,340 
16,005 

  (528,344) 
  (134,240) 
  (162,202) 
$  593,465 

(53,513) 
  (134,319) 
  (153,092) 
$ 1,041,421 

Underwriting Ratios
Loss ratio
Acquisition expense ratio
Other operating expense ratio
Combined ratio

 37.8 %
 9.6 %
 11.6 %
 59.0 %

 3.9 %  
 9.8 %  
 11.2 %  
 24.9 %  

1.4 

2.3 

(43.0) 

% Point 
Change
33.9 
(0.2) 
0.4 
34.1 

Losses and Loss Adjustment Expenses. 

The table below shows the components of the reinsurance 
segment’s loss ratio:

Current year

Prior period reserve development

Loss ratio

Current Year Loss Ratio.

Year Ended December 31,

2020

2019

 81.5 %

 (6.2) %

 75.3 %

 72.2 %

 (3.2) %

 69.0 %

including  7.2  points  for  exposure  related 

The  reinsurance  segment’s  current  year  loss  ratio  was  9.3 
points  higher  in  2020  than  in  2019.  The  2020  loss  ratio 
included  20.1  points  for  current  year  catastrophic  event 
activity, 
to 
COVID-19, compared to 5.7 points in 2019, primarily related 
to  Hurricane  Dorian  and  Typhoons  Hagibis  and  Faxai.  The 
balance  of  the  change  in  the  2020  current  year  loss  ratio 
resulted, in part, from the effect of rate increases, changes in 
mix of business and the level of attritional losses.

Prior Period Reserve Development.

The  reinsurance  segment’s  net  favorable  development  was 
$134.0  million,  or  6.2  points,  for  2020,  compared  to  $46.4 
million,  or  3.2  points,  for  2019,  See  note  5,  “Reserve  for 
Losses and Loss Adjustment Expenses,” to our consolidated 
financial  statements  in  Item  8  for  information  about  the 
reinsurance segment’s prior year reserve development.

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Premiums Written.

Losses and Loss Adjustment Expenses.

The  following  table  sets  forth  our  mortgage  segment’s  net 
premiums  written  by  underwriting  location  (i.e.,  where  the 
business is underwritten):

The  table  below  shows  the  components  of  the  mortgage 
segment’s loss ratio:

Year Ended December 31,

2020

2019

Current year

Prior period reserve development

Loss ratio

Year Ended December 31,

2020

2019

 39.2 %

 (1.4) %

 37.8 %

 13.1 %

 (9.2) %

 3.9 %

Net premiums written by underwriting 
location
United States
Other
Total

$  1,021,950  $  1,032,868 
228,888
$  1,279,850  $  1,261,756 

257,900

Gross  premiums  written  by  the  mortgage  segment  in  2020 
were  0.5%  higher  than  in  2019.  Net  premiums  written  for 
2020  were  1.4%  higher  than  in  the  2019  period  primarily 
reflecting  growth  in  Australian  single  premium  mortgage 
insurance,  partially  offset  by  a  lower  level  of  U.S.  primary 
mortgage insurance in force on monthly premium policies.

The  persistency  rate  of  the  primary  portfolio  of  mortgage 
loans  of  Arch  MI  U.S.  was  58.7%  at  December  31,  2020 
compared to 75.7% at December 31, 2019, with the decrease 
primarily reflecting a higher level of refinancing activity. The 
persistency  rate  represents  the  percentage  of  mortgage 
insurance in force at the beginning of a 12-month period that 
remains in force at the end of such period.

Net Premiums Earned.

The  following  table  sets  forth  our  mortgage  segment’s  net 
premiums  earned  by  underwriting  location  (i.e.,  where  the 
business is underwritten):

Net premiums earned by underwriting 
location
United States
Other
Total

Year Ended December 31,

2020

2019

$  1,158,563  $  1,134,849 
231,491
$  1,397,935  $  1,366,340 

239,372

Net  premiums  earned  for  2020  were  2.3%  higher  than  in 
2019, primarily reflecting a higher level of single premiums 
earned  as  a  result  of  policy  terminations  due  to  mortgage 
refinance activity.

Other Underwriting Income.

Other underwriting income, which is due in part to GSE risk-
sharing 
accounting 
treatment  was  $20.3  million  for  2020,  compared  to  $16.0 
million for 2019.

receiving  derivative 

transactions 

Unlike property and casualty business for which we estimate 
ultimate  losses  on  premiums  earned,  losses  on  mortgage 
insurance business are only recorded at the time a borrower is 
delinquent  on  their  mortgage,  in  accordance  with  primary 
mortgage  insurance  industry  practice.  Because  our  primary 
mortgage  insurance  reserving  process  does  not  take  into 
account  the  impact  of  future  losses  from  loans  that  are  not 
delinquent,  mortgage  insurance  loss  reserves  are  not  an 
estimate  of  ultimate  losses.  In  addition  to  establishing  loss 
reserves for delinquent loans, under GAAP, we are required 
to  establish  a  premium  deficiency  reserve  for  our  mortgage 
insurance  products  if  the  amount  of  expected  future  losses 
and  maintenance  costs  exceeds  expected  future  premiums, 
existing  reserves  and  the  anticipated  investment  income  for 
such  product.  We  assess  the  need  for  a  premium  deficiency 
reserve  on  a  quarterly  basis  and  perform  a  full  analysis 
annually.  No  such  reserve  was  established  during  2020  and 
2019.

Current Year Loss Ratio.

The  mortgage  segment’s  current  year  loss  ratio  was  26.1 
points  higher  in  2020  compared  to  2019.  The  percentage  of 
loans  in  default  on  U.S.  primary  mortgage  insurance 
increased  from  1.54%  at  December  31,  2019  to  4.19%  at 
December 31, 2020.

Incurred  losses  for  the  2020  periods  reflected  elevated 
delinquency  rates  due,  in  part,  to  financial  stress  from  the 
COVID-19  pandemic.  Segregating  estimated  losses  due  to 
COVID-19  from  the  overall  mortgage  segment  estimated 
losses  would 
the  number  of 
delinquencies specifically attributable to COVID-19. As this 
exercise cannot be performed accurately, the Company is not 
reporting  COVID-19  provisions  separately  from  its  overall 
loss provisions. 

require  knowledge  of 

We  insure  mortgages  for  homes  in  areas  that  have  been 
impacted  by  catastrophic  events.  Generally,  mortgage 
insurance  losses  occur  only  when  a  credit  event  occurs  and, 
following  a  physical  damage  event,  when  the  home  is 
restored to pre-storm condition. Our ultimate claims exposure 
will  depend  on  the  number  of  delinquency  notices  received 
and  the  ultimate  claim  rate  related  to  such  notices.  In  the 
event  of  natural  disasters,  cure  rates  are  influenced  by  the 

ARCH CAPITAL

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2020  FORM 10-K

Table of Contents

adequacy  of  homeowners  and  flood  insurance  carried  on  a 
related  property,  and  a  borrower's  access  to  aid  from 
government entities and private organizations, in addition to 
other factors which generally impact cure rates in unaffected 
areas.

investment income yields were calculated based on amortized 
cost. Yields on future investment income may vary based on 
financial  market  conditions,  investment  allocation  decisions 
and other factors.

Corporate Expenses. 

Prior Period Reserve Development.

The  mortgage  segment’s  net  favorable  development  was 
$19.0  million,  or  1.4  points,  for  2020,  compared  to  $125.2 
million,  or  9.2  points,  for  2019.  See  note  5,  “Reserve  for 
Losses and Loss Adjustment Expenses,” to our consolidated 
financial  statements  in  Item  8  for  information  about  the 
mortgage segment’s prior year reserve development.

Underwriting Expenses.

The  underwriting  expense  ratio  for  the  mortgage  segment 
was 21.2% for 2020, in line with 21.0% for 2019. 

Corporate (Non-Underwriting) Segment

The corporate (non-underwriting) segment results include net 
investment income, other income (loss), corporate expenses, 
transaction costs and other, amortization of intangible assets, 
interest  expense, 
to  our  non-cumulative 
preferred  shares,  net  realized  gains  or  losses,  equity  in  net 
income or loss of investments accounted for using the equity 
method,  net  foreign  exchange  gains  or  losses  and  income 
taxes.  Such  amounts  exclude  the  results  of  the  ‘other’ 
segment.

items  related 

Net Investment Income. 

Corporate  expenses  were  $68.5  million  for  2020,  compared 
to $65.7 million for 2019. Such amounts primarily represent 
certain  holding  company  costs  necessary  to  support  our 
worldwide operations and costs associated with operating as 
a publicly traded company. 

Transaction Costs and Other.

Transaction  costs  and  other  were  $9.5  million  for  2020, 
compared to $14.4 million for 2019. Amounts in both periods 
are primarily related to acquisition activity.

Amortization of Intangible Assets.

Amortization of intangible assets for 2020 was $69.0 million, 
compared  to  $82.1  million  for  2019  .  Amounts  in  2020  and 
to  amortization  of  finite-lived 
2019  primarily  related 
intangible  assets  related  to  our  2016  acquisition  of  United 
Guaranty Corporation.

Interest Expense. 

Interest  expense  was  $120.2  million  for  2020,  compared  to 
$93.7  million  for  2019.  Interest  expense  primarily  reflects 
amounts  related  to  our  outstanding  senior  notes.  The  higher 
level of interest expense mainly resulted from the issuance of 
$1.0 billion of 3.635% senior notes in June 2020.

The components of net investment income were derived from 
the following sources:

Net Realized Gains (Losses). 

Fixed maturities

Equity securities
Short-term investments

Other (1)

Gross investment income

Investment expenses (2)

Year Ended December 31,

2020

2019

$ 

358,804  $ 

440,824 

28,007 
6,573 

77,951 

471,335 

(69,427) 

13,455 
14,642 

86,440 

555,361 

(64,294) 

Net investment income

$ 

401,908  $ 

491,067 

(1)  Amounts  include  dividends  and  other  distributions  on  investment 
funds,  term  loan  investments,  funds  held  balances,  cash  balances  and 
other.
Investment  expenses  were  approximately  0.31%  of  average  invested 
assets for 2020, compared to 0.33% for 2019.

(2) 

The  pre-tax  investment  income  yield  was  1.78%  for  2020, 
compared  to  2.52%  for  2019.  The  lower  level  of  net 
investment  income  for  2020  compared  to  2019  reflected 
lower  yields  available  in  the  financial  markets.  The  pre-tax 

We  recorded  net  realized  gains  of  $813.8  million  for  2020, 
compared  to  net  realized  gains  of  $348.0  million  for  2019. 
Currently,  our  portfolio  is  actively  managed  to  maximize 
total  return  within  certain  guidelines.  The  effect  of  financial 
market  movements  on  the  investment  portfolio  will  directly 
impact  net  realized  gains  and  losses  as  the  portfolio  is 
adjusted and rebalanced. Net realized gains or losses from the 
sale  of  fixed  maturities  primarily  results  from  our  decisions 
to  reduce  credit  exposure,  to  change  duration  targets,  to 
rebalance  our  portfolios  or  due 
relative  value 
determinations.

to 

Net  realized  gains  or  losses  also  include  realized  and 
unrealized  contract  gains  and  losses  on  our  derivative 
instruments, changes in the fair value of assets accounted for 
using  the  fair  value  option  and  in  the  fair  value  of  equities, 
along  with  changes  in  the  allowance  for  credit  losses  on 
financial  assets  and  net  impairment  losses  recognized  in 
earnings. See note 9, “Investment Information—Net Realized 
Gains (Losses),” to our consolidated financial statements for 

ARCH CAPITAL

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2020  FORM 10-K

 
 
 
 
 
 
 
 
 
 
CRITICAL  ACCOUNTING  POLICIES,  ESTIMATES 
AND  RECENT  ACCOUNTING  PRONOUNCEMENTS

and  other 

recognition, 

The  preparation  of  consolidated  financial  statements  in 
accordance with GAAP requires us to make many estimates 
and  judgments  that  affect  the  reported  amounts  of  assets, 
liabilities  (including  reserves),  revenues  and  expenses,  and 
related  disclosures  of  contingent  liabilities.  On  an  ongoing 
basis,  we  evaluate  our  estimates,  including  those  related  to 
reserves, 
insurance 
revenue 
reinsurance  recoverables,  allowance  for  current  expected 
credit  losses,  investment  valuations,  goodwill  and  intangible 
assets, bad debts, income taxes, contingencies and litigation. 
We  base  our  estimates  on  historical  experience,  where 
possible, and on various other assumptions that we believe to 
be reasonable under the circumstances, which form the basis 
for  our  judgments  about  the  carrying  values  of  assets  and 
liabilities  that  are  not  readily  apparent  from  other  sources. 
Actual  results  will  differ  from  these  estimates  and  such 
differences  may  be  material.  We  believe  that  the  following 
critical  accounting  policies  affect  significant  estimates  used 
in the preparation of our consolidated financial statements.

Loss Reserves

losses  and 

to  establish  reserves  for 

We are required by applicable insurance laws and regulations 
loss 
and  GAAP 
adjustment  expenses,  or  Loss  Reserves,  that  arise  from  the 
business  we  underwrite.  Loss  Reserves  for  our  insurance, 
reinsurance  and  mortgage  operations  are  balance  sheet 
liabilities  representing  estimates  of  future  amounts  required 
to  pay  losses  and  loss  adjustment  expenses  for  insured  or 
reinsured events which have occurred at or before the balance 
sheet date. Loss Reserves do not reflect contingency reserve 
allowances  to  account  for  future  loss  occurrences.  Losses 
arising from future events will be estimated and recognized at 
the time the losses are incurred and could be substantial. See 
note  6,  “Short  Duration  Contracts,”  to  our  consolidated 
financial  statements  in  Item  8  for  additional  information  on 
our reserving process.

Table of Contents

additional  information.  See  note  9,  “Investment  Information
to  our  consolidated 
—Allowance  for  Credit  Losses,” 
financial statements for additional information.

Equity  in  Net  Income  (Loss)  of  Investments  Accounted  for 
Using the Equity Method. 

We  recorded  $146.7  million  of  equity  in  net  income  related 
to  investments  accounted  for  using  the  equity  method  for 
2020,  compared  to  $123.7  million  for  2019.  Investments 
accounted for using the equity method totaled $2.0 billion at 
December  31,  2020,  compared 
to  $1.7  billion  at 
December  31,  2019.  See  note  9,  “Investment  Information—
Equity  in  Net  Income  (Loss)  of  Investments  Accounted  For 
Using  the  Equity  Method,”  to  our  consolidated  financial 
statements in Item 8 for additional information.

Net Foreign Exchange Gains or Losses. 

Net  foreign  exchange  losses  for  2020  were  $80.2  million, 
compared  to  net  foreign  exchange  losses  for  2019  of  $9.3 
million.  Amounts  in  such  periods  were  primarily  unrealized 
and  resulted  from  the  effects  of  revaluing  our  net  insurance 
liabilities required to be settled in foreign currencies at each 
balance sheet date.

Income Tax Expense. 

Our  income  tax  provision  on  income  before  income  taxes 
resulted  in  an  expense  of  7.4%  for  2020,  compared  to  an 
expense  of  8.7%  for  2019.  Our  effective  tax  rate  fluctuates 
from year to year consistent with the relative mix of income 
or  loss  reported  by  jurisdiction  and  the  varying  tax  rates  in 
each jurisdiction. 

See  note  15,  “Income  Taxes,”  to  our  consolidated  financial 
statements  in  Item  8  for  a  reconciliation  of  the  difference 
between the provision for income taxes and the expected tax 
provision at the weighted average statutory tax rate for 2020 
and 2019.

Other Segment 

The ‘other’ segment includes the results of Watford. Pursuant 
to  generally  accepted  accounting  principles  (“GAAP”), 
Watford  is  considered  a  variable  interest  entity  and  we 
concluded that we are the primary beneficiary of Watford. As 
such,  we  consolidate 
in  our 
consolidated  financial  statements,  although  we  only  own 
approximately  13%  of  Watford’s  common  equity  as  of 
December  31,  2020.  See  note  12,  “Variable  Interest  Entity 
and  Noncontrolling  Interests,”  and  note  4,  “Segment 
Information,” to our consolidated financial statements in Item 
8 for additional information.

the  results  of  Watford 

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At  December  31,  2020  and  2019,  our  Loss  Reserves,  net  of 
unpaid  losses  and  loss  adjustment  expenses  recoverable,  by 
type and by operating segment were as follows:

At  December  31,  2020  and  2019,  the  reinsurance  segment’s 
Loss Reserves by major line of business, net of unpaid losses 
and loss adjustment expenses recoverable, were as follows:

Insurance segment:
Case reserves
IBNR reserves

Total net reserves
Reinsurance segment:
Case reserves
Additional case reserves
IBNR reserves

Total net reserves
Mortgage segment:
Case reserves
IBNR reserves

Total net reserves

Other segment:
Case reserves
Additional case reserves
IBNR reserves

Total net reserves

Total:
Case reserves
Additional case reserves
IBNR reserves

Total net reserves

December 31,

2020

2019

$  2,051,640  $  1,601,627 
3,403,051
5,004,678 

3,889,823
5,941,463 

1,560,523 
280,472
2,253,953
4,094,948 

631,921 
271,702
903,623 

566,587 
32,321 
660,132 
1,259,040 

1,273,523 
166,251
1,835,993
3,275,767 

266,030 
157,712
423,742 

478,036 
29,059 
597,910 
1,105,005 

Casualty (1)
Other specialty (2)
Property excluding property catastrophe (3)
Marine and aviation
Property catastrophe
Other (4)

Total net reserves

December 31,

2020

2019

$  1,995,849  $  1,796,073 
649,309
471,775
160,930
113,565
84,115
$  4,094,948  $  3,275,767 

917,178
594,033
204,205
268,858
114,825

(1) 

(2) 

(3) 
(4) 

Includes  executive  assurance,  professional 
compensation, excess motor, healthcare and other.
Includes  non-excess  motor,  surety,  accident  and  health,  workers’ 
compensation catastrophe, agriculture, trade credit and other.
Includes property facultative business.
Includes life, casualty clash and other.

liability,  workers’ 

At  December  31,  2020  and  2019,  the  mortgage  segment’s 
Loss Reserves by major line of business, net of unpaid losses 
and loss adjustment expenses recoverable, were as follows:

4,810,671 
312,793
7,075,610

3,619,216 
195,310
5,994,666
$  12,199,074  $  9,809,192 

U.S. primary mortgage insurance (1)
Other

Total net reserves

December 31,

2020
649,748  $ 
253,875 
903,623  $ 

2019
278,689 
145,053 
423,742 

$ 

$ 

At  December  31,  2020  and  2019,  the  insurance  segment’s 
Loss Reserves by major line of business, net of unpaid losses 
and loss adjustment expenses recoverable, were as follows:

(1)  At  December  31,  2020,  27.7%  of  total  net  reserves  represent  policy 
years  2010  and  prior  and  the  remainder  from  later  policy  years.  At 
December 31, 2019, 58.2% of total net reserves represent policy years 
2010 and prior and the remainder from later policy years. 

Professional lines (1)
Construction and national accounts
Excess and surplus casualty (2)
Programs
Property, energy, marine and aviation
Travel, accident and health
Lenders products
Other (3)

Total net reserves

December 31,

2020

2019

$  1,482,820  $  1,322,969 
1,248,750
564,254
571,926
371,822
109,613
28,233
787,111
$  5,941,463  $  5,004,678 

1,395,067
816,495
699,354
517,692
98,910
48,946
882,179

(1) 

(2) 
(3) 

Includes  professional  liability,  executive  assurance  and  healthcare 
business.
Includes casualty and contract binding business.
Includes alternative markets, excess workers’ compensation and surety 
business.

Potential Variability in Loss Reserves

The  tables  below  summarize  the  effect  of  reasonably  likely 
scenarios  on  the  key  actuarial  assumptions  used  to  estimate 
our Loss Reserves, net of unpaid losses and loss adjustment 
expenses recoverable, at December 31, 2020 by underwriting 
segment  (excluding  the  ‘other’  segment).  The  scenarios 
shown in the tables summarize the effect of (i) changes to the 
expected  loss  ratio  selections  used  at  December  31,  2020, 
which represent loss ratio point increases or decreases to the 
expected  loss  ratios  used,  and  (ii)  changes  to  the  loss 
development  patterns  used  in  our  reserving  process  at 
December 31, 2020, which represent claims reporting that is 
either  slower  or  faster  than  the  reporting  patterns  used.  We 
believe  that  the  illustrated  sensitivities  are  indicative  of  the 
potential  variability  inherent  in  the  estimation  process  of 
those  parameters.  The  results  show  the  impact  of  varying 
each key actuarial assumption using the chosen sensitivity on 
our  IBNR  reserves,  on  a  net  basis  and  across  all  accident 
years.

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Table of Contents

INSURANCE SEGMENT

Reserving lines selected assumptions:
Property, energy, marine and aviation
Third party occurrence business
Third party claims-made business
Multi-line and other specialty

Higher 
Expected Loss 
Ratios

Slower Loss 
Development 
Patterns

5 points

3 months

10
10
10

6
6
6

Increase (decrease) in Loss Reserves:
Property, energy, marine and aviation
Third party occurrence business
Third party claims-made business
Multi-line and other specialty

$ 

36,369  $ 
283,179 
120,367 
134,517 

51,268 
148,656 
135,996 
157,928 

INSURANCE SEGMENT

Reserving lines selected assumptions:
Property, energy, marine and aviation
Third party occurrence business
Third party claims-made business
Multi-line and other specialty

Lower 
Expected Loss 
Ratios

Faster Loss 
Development 
Patterns

(5) points

(3) months

(10)
(10)
(10)

(6)
(6)
(6)

Increase (decrease) in Loss Reserves:
Property, energy, marine and aviation
Third party occurrence business
Third party claims-made business
Multi-line and other specialty

$ 

(36,369)  $ 
(282,830) 
(119,319) 
(131,395) 

(31,443) 
(130,607) 
(103,301) 
(114,712) 

REINSURANCE SEGMENT
Reserving lines selected assumptions:
Casualty
Other specialty

Property excluding property catastrophe
Property catastrophe
Marine and aviation
Other

Higher 
Expected Loss 
Ratios

Slower Loss 
Development 
Patterns

10 points

6 months

5

5
5
5
5

3

3
3
3
3

Increase (decrease) in Loss Reserves:
Casualty
Other specialty

$ 

Property excluding property catastrophe  
Property catastrophe
Marine and aviation
Other

141,847  $ 
72,488 

21,611 
16,492 
10,005 
6,844 

170,356 
46,210 

52,793 
26,950 
15,780 
5,357 

REINSURANCE SEGMENT
Reserving lines selected assumptions:
Casualty
Other specialty

Property excluding property catastrophe
Property catastrophe
Marine and aviation
Other

Increase (decrease) in Loss Reserves:
Casualty
Other specialty

Lower 
Expected Loss 
Ratios

Faster Loss 
Development 
Patterns

(10) points

(6) months

(5)

(5)
(5)
(5)
(5)

(3)

(3)
(3)
(3)
(3)

$ 

(141,847)  $ 
(72,488) 

(133,152) 
(72,373) 

Property excluding property catastrophe  
Property catastrophe
Marine and aviation
Other

(21,611) 
(16,492) 
(10,043) 
(6,844) 

(48,999) 
(17,277) 
(15,519) 
(5,005) 

It is not necessarily appropriate to sum the total impact for a 
specific  factor  or  the  total  impact  for  a  specific  business 
category  as 
the  business  categories  are  not  perfectly 
correlated. In addition, the potential variability shown in the 
tables above are reasonably likely scenarios of changes in our 
key assumptions at December 31, 2020 and are not meant to 
be  a  “best  case”  or  “worst  case”  series  of  outcomes  and, 
therefore, it is possible that future variations may be more or 
less than the amounts set forth above.

For  our  mortgage  segment,  we  considered  the  sensitivity  of 
loss reserve estimates at December 31, 2020 by assessing the 
potential  changes  resulting  from  a  parallel  shift  in  severity 
and  default  to  claim  rate.  For  example,  assuming  all  other 
factors  remain  constant,  for  every  one  percentage  point 
change  in  primary  claim  severity  (which  we  estimate  to  be 
29% of the unpaid principal balance at December 31, 2020), 
we  estimated  that  our  loss  reserves  would  change  by 
approximately  $30.0  million  at  December  31,  2020.  For 
every one percentage point change in our primary net default 
to claim rate (which we estimate to be approximately 20% at 
December 31, 2020), we estimated a $45.0 million change in 
our loss reserves at December 31, 2020.

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  $5,941,463 

  $4,094,948 

$903,623 

  $10,940,034 

Risk In Force (RIF) (3):

Table of Contents

Simulation Results

In  order  to  illustrate  the  potential  volatility  in  our  Loss 
Reserves,  we  used  a  Monte  Carlo  simulation  approach  to 
simulate  a  range  of  results  based  on  various  probabilities. 
Both  the  probabilities  and  related  modeling  are  subject  to 
inherent  uncertainties.  The  simulation  relies  on  a  significant 
number  of  assumptions,  such  as  the  potential  for  multiple 
entities  to  react  similarly  to  external  events,  and  includes 
other  statistical  assumptions.  The  simulation  results  shown 
for each segment do not add to the total simulation results, as 
the  individual  segment  simulation  results  do  not  reflect  the 
diversification effects across our segments. 

At  December  31,  2020,  our  recorded  Loss  Reserves  by 
underwriting  segment,  net  of  unpaid 
loss 
adjustment  expenses  recoverable,  and  the  results  of  the 
simulation were as follows:

losses  and 

Insurance 
Segment

Reinsurance 
Segment

Mortgage 
Segment

Total

Loss 
Reserves (1)

Simulation 
results:

90th 
percentile (2)

10th 
percentile (3)

  $7,181,065 

  $5,038,203 

  $1,081,713 

  $12,683,107 

  $4,734,118 

  $3,251,451 

$738,596 

  $9,246,934 

(1)  Net  of  reinsurance  recoverables.  Excludes  amounts  reflected  in  the 

‘other’ segment.

(2)  Simulation  results  indicate  that  a  90%  probability  exists  that  the  net 
reserves  for  losses  and  loss  adjustment  expenses  will  not  exceed  the 
indicated amount.

(3)  Simulation  results  indicate  that  a  10%  probability  exists  that  the  net 
reserves for losses and loss adjustment expenses will be at or below the 
indicated amount.

For  informational  purposes,  based  on  the  total  simulation 
results,  a  change  in  our  Loss  Reserves  to  the  amount 
indicated at the 90th percentile would result in a decrease in 
income before income taxes of approximately $1.7 billion, or 
$4.25 per diluted share, while a change in our Loss Reserves 
to the amount indicated at the 10th percentile would result in 
an increase in income before income taxes of approximately 
$1.7 billion, or $4.13 per diluted share. The simulation results 
noted above are informational only, and no assurance can be 
given  that  our  ultimate  losses  will  not  be  significantly 
different  than  the  simulation  results  shown  above,  and  such 
differences  could  directly  and  significantly  impact  earnings 
favorably  or  unfavorably  in  the  period  they  are  determined. 
We  do  not  have  significant  exposure  to  pre-2002  liabilities, 
long-tail 
such  as  asbestos-related 
trend 
is  difficult 
liabilities.  It 
information for certain liability/casualty coverages for which 
the  claim-tail  may  be  especially  long,  as  claims  are  often 
reported and ultimately paid or settled years, or even decades, 

illnesses  and  other 
to  provide  meaningful 

after  the  related  loss  events  occur.  Any  estimates  and 
assumptions  made  as  part  of  the  reserving  process  could 
prove  to  be  inaccurate  due  to  several  factors,  including  the 
fact  that  for  certain  lines  of  business  relatively  limited 
historical  information  has  been  reported  to  us  through 
December 31, 2020.

Mortgage Operations Supplemental Information

The  mortgage  segment’s  insurance  in  force  (“IIF”)  and  risk 
in  force  (“RIF”)  were  as  follows  at  December  31,  2020  and 
2019: 

(U.S. Dollars in millions)

December 31,

2020

2019

Amount

%

Amount

%

Insurance In Force (IIF) (1):

U.S. primary mortgage 
insurance
Mortgage reinsurance
Other (2)
Total

$  280,579 
31,220 
111,740 
$  423,539 

  66.2  $  287,150 
26,768 
  7.4 
  26.4 
104,346 
 100.0  $  418,264 

  68.7 
  6.4 
  24.9 
 100.0 

U.S. primary mortgage 
insurance
Mortgage reinsurance
Other (2)
Total

$ 

$ 

70,522 
2,226 
5,146 
77,894 

  90.5  $ 
  2.9 
  6.6 
 100.0  $ 

73,388 
2,129 
4,380 
79,897 

  91.9 
  2.7 
  5.5 
 100.0 

(1)  Represents  the  aggregate  dollar  amount  of  each  insured  mortgage 

(2) 

loan’s current principal balance.
Includes  participation  in  GSE  credit  risk-sharing  transactions  and 
international insurance business.

(3)  Represents  the  aggregate  amount  of  each  insured  mortgage  loan’s 
current  principal  balance  multiplied  by  the  insurance  coverage 
percentage  specified  in  the  policy  for  insurance  policies  issued  and 
after  contract  limits  and/or  loss  ratio  caps  for  credit  risk-sharing  or 
reinsurance transactions.

The insurance in force and risk in force for our U.S. primary 
mortgage insurance business by policy year were as follows 
at December 31, 2020:

(U.S. Dollars in 
millions)

IIF

RIF

Delinquency

Amount

%

Amount

%

Rate (1)

Policy year:
2010 and prior $  13,684 
904 
2011
3,651 
2012
7,546 
2013
8,261 
2014
15,032 
2015
24,958 
2016
24,748 
2017
27,304 
2018
48,304 
2019
  106,187 
2020
$  280,579 

Total

3,088 
  4.9  $ 
239 
  0.3 
992 
  1.3 
2,107 
  2.7 
2,273 
  2.9 
4,048 
  5.4 
6,648 
  8.9 
6,413 
  8.8 
6,918 
  9.7 
12,001 
  17.2 
  37.8 
25,795 
 100.0  $  70,522 

  4.4 
  0.3 
  1.4 
  3.0 
  3.2 
  5.7 
  9.4 
  9.1 
  9.8 
  17.0 
  36.6 
 100.0 

 11.78 %
 3.97 %
 2.98 %
 3.30 %
 4.06 %
 3.72 %
 4.77 %
 5.52 %
 6.76 %
 4.61 %
 0.76 %
 4.19 %

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2020  FORM 10-K

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Table of Contents

(1) Represents the ending percentage of loans in default.

(U.S. Dollars in millions)

The insurance in force and risk in force for our U.S. primary 
mortgage insurance business by policy year were as follows 
at December 31, 2019:

(U.S. Dollars in 
millions)

IIF

RIF

Delinquency

Amount

%

Amount

%

Rate (1)

Policy year:
2010 and prior $  17,251 
1,678 
2011
6,293 
2012
12,276 
2013
13,714 
2014
25,788 
2015
40,898 
2016
43,896 
2017
51,776 
2018

  6.0  $ 
  0.6 
  2.2 
  4.3 
  4.8 
  9.0 
  14.2 
  15.3 
  18.0 

3,990 
464 
1,753 
3,433 
3,778 
6,880 
10,670 
11,262 
13,086 

2019

Total

73,580 
$  287,150 

  25.6 
18,072 
 100.0  $  73,388 

  5.4 
  0.6 
  2.4 
  4.7 
  5.1 
  9.4 
  14.5 
  15.3 
  17.8 

  24.6 
 100.0 

 8.79 %
 1.59 %
 0.89 %
 0.99 %
 1.16 %
 0.87 %
 1.03 %
 1.00 %
 0.86 %

 0.14 %
 1.54 %

December 31,

2020

2019

Amount

%

Amount

%

$ 

$ 

5,636 
5,261 
3,632 
2,959 
2,762 
2,622 
2,526 
2,520 
2,464 
2,220 
37,920 
70,522 

8.0  $ 
7.5 
5.2 
4.2 
3.9 
3.7 
3.6 
3.6 
3.5 
3.1 
  53.8 
  100.0  $ 

5,678 
5,187 
3,887 
2,753 
2,616 
2,470 
2,881 
2,514 
2,432 
2,474 
40,496 
73,388 

7.7 
7.1 
5.3 
3.8 
3.6 
3.4 
3.9 
3.4 
3.3 
3.4 
55.2 
  100.0 

Total RIF by State:
Texas
California
Florida
Georgia
Illinois
North Carolina
Virginia
Minnesota
Massachusetts
Washington
Others
Total

The  following  table  provides  supplemental  disclosures  for 
our  U.S.  primary  mortgage  insurance  business  related  to 
the  years  ended 
loss  metrics  for 
loans  and 
insured 
December 31, 2020 and 2019:

(1) Represents the ending percentage of loans in default.

The  following  tables  provide  supplemental  disclosures  on 
risk  in  force  for  our  U.S.  primary  mortgage  insurance 
business at December 31, 2020 and 2019:

(U.S. Dollars in millions)

December 31,

2020

2019

(U.S. Dollars in thousands, except loan 
and claim count)
Rollforward of insured loans in default:
Beginning delinquent number of loans

New notices
Cures
Paid claims

Amount

%

Amount

%

Ending delinquent number of loans (1)

Year Ended December 31,

2020

2019

20,163 
102,324 
(68,691) 
(1,562) 
52,234 

20,665 
39,017 
(36,601) 
(2,918) 
20,163 

Credit quality (FICO):
>=740
680-739
620-679
<620

Total

$  40,774 
24,498 
4,837 
413 
$  70,522 

  57.8  $  42,301 
25,240 
  34.7 
5,444 
6.9 
403 
0.6 
  100.0  $  73,388 

57.6 
34.4 
7.4 
0.5 
  100.0 

Weighted average FICO 
score

743 

743 

Loan-to-Value (LTV):
95.01% and above
90.01% to 95.00%
85.01% to 90.00%
85.00% and below

Total

$ 

8,643 
37,877 
20,013 
3,989 
$  70,522 

  12.3  $ 
  53.7 
  28.4 
5.7 

9,064 
40,136 
20,890 
3,298 
  100.0  $  73,388 

12.4 
54.7 
28.5 
4.5 
  100.0 

Weighted average LTV

 92.8 %

 93.0 %

Total RIF, net of 
external reinsurance

$  56,658 

$  58,512 

Ending number of policies in force (1)

  1,245,771 

  1,307,884 

Delinquency rate (1)

 4.19 %

 1.54 %

Losses:
Number of claims paid
Total paid claims
Average per claim 
Severity (2)

Average reserve per default (in 
thousands) (1)

1,562 
64,903 
41.6 
 92.4 %

2,918 
$  116,854 
40.0 
$ 
 96.0 %

12.6 

$ 

13.3 

$ 
$ 

$ 

(1) 
(2) 

Includes first lien primary and pool policies.
Represents total paid claims divided by RIF of loans for which claims 
were paid.

The risk-to-capital ratio, which represents total current (non-
delinquent) risk in force, net of reinsurance, divided by total 
statutory capital, for Arch MI U.S. was approximately 9.3 to 
1  at  December  31,  2020,  compared  to  12.0  to  1  at 
December 31, 2019.

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Table of Contents

Ceded Reinsurance

reinsurance 

agreements.  Our 

In the normal course of business, our insurance and mortgage 
insurance  operations  cede  a  portion  of  their  premium  on  a 
quota  share  or  excess  of  loss  basis  through  treaty  or 
reinsurance 
facultative 
operations also obtain reinsurance whereby another reinsurer 
contractually agrees to indemnify it for all or a portion of the 
reinsurance risks underwritten by our reinsurance operations. 
Such arrangements, where one reinsurer provides reinsurance 
to another reinsurer, are usually referred to as “retrocessional 
reinsurance”  arrangements.  In  addition,  our  reinsurance 
subsidiaries  participate  in  “common  account”  retrocessional 
arrangements for certain pro rata treaties. Such arrangements 
reduce  the  effect  of  individual  or  aggregate  losses  to  all 
companies  participating  on  such  treaties,  including  the 
reinsurers, such as our reinsurance operations, and the ceding 
company.  Reinsurance  recoverables  are  recorded  as  assets, 
predicated on the reinsurers’ ability to meet their obligations 
under the reinsurance agreements. If the reinsurers are unable 
to  satisfy  their  obligations  under  the  agreements,  our 
insurance or reinsurance operations would be liable for such 
defaulted amounts.

The  availability  and  cost  of  reinsurance  and  retrocessional 
protection is subject to market conditions, which are beyond 
our  control.  Although  we  believe  that  our  insurance  and 
reinsurance  operations  have  been  successful  in  obtaining 
adequate  reinsurance  and  retrocessional  protection,  it  is  not 
certain  that  they  will  be  able  to  continue  to  obtain  adequate 
protection at cost effective levels. As a result of such market 
conditions  and  other  factors,  our  insurance,  reinsurance  and 
mortgage operations may not be able to successfully mitigate 
risk through reinsurance and retrocessional arrangements and 
may lead to increased volatility in our results of operations in 
future  periods.  See  “Risk  Factors—Risks  Relating  to  Our 
Industry, Business and Operations—The failure of any of the 
loss  limitation  methods  we  employ  could  have  a  material 
adverse  effect  on  our  financial  condition  or  results  of 
operations.”

Effective  January  1,  2021,  our  insurance  operations  had  in 
effect  a  reinsurance  program  which  provided  coverage  for 
certain  property-catastrophe  related  losses  equal  to  $276 
million in excess of various retentions per occurrence.

For purposes of managing risk, we reinsure a portion of our 
exposures,  paying  to  reinsurers  a  part  of  the  premiums 
received  on  the  policies  we  write,  and  we  may  also  use 
retrocessional  protection.  On  a  consolidated  basis,  ceded 
premiums  written  represented  26.3%  of  gross  premiums 
written  for  2020,  compared  to  25.8%  for  2019.  We  monitor 
the financial condition of our reinsurers and attempt to place 
coverages only with substantial, financially sound carriers. If 
the  financial  condition  of  our  reinsurers  or  retrocessionaires 
deteriorates,  resulting  in  an  impairment  of  their  ability  to 

make payments, we will provide for probable losses resulting 
from  our  inability  to  collect  amounts  due  from  such  parties, 
as  appropriate.  We  evaluate  the  credit  worthiness  of  all  the 
reinsurers to which we cede business. We report reinsurance 
recoverables net of an allowance for expected credit loss. The 
allowance  is  based  upon  our  ongoing  review  of  amounts 
outstanding, 
the  financial  condition  of  our  reinsurers, 
amounts  and  form  of  collateral  obtained  and  other  relevant 
factors. A ratings based probability-of-default and loss-given-
default  methodology  is  used  to  estimate  the  allowance  for 
expected  credit  loss.  See  “Risk  Factors—Risks  Relating  to 
Our  Industry,  Business  and  Operations—We  are  exposed  to 
credit  risk  in  certain  of  our  business  operations”  and 
“Financial  Condition,  Liquidity  and  Capital  Resources”  for 
further details.

Premium Revenues and Related Expenses

Insurance  premiums  written  are  generally  recorded  at  the 
policy inception and are primarily earned on a pro rata basis 
over  the  terms  of  the  policies  for  all  products,  usually  12 
months. Premiums written include estimates in our insurance 
operations’  programs,  specialty  lines,  collateral  protection 
business  and  for  participation  in  involuntary  pools.  Such 
premium  estimates  are  derived  from  multiple  sources  which 
include  the  historical  experience  of  the  underlying  business, 
information. 
similar  business  and  available 
Unearned  premium  reserves  represent 
the  portion  of 
premiums  written  that  relates  to  the  unexpired  terms  of  in-
force insurance policies.

industry 

Reinsurance  premiums  written  include  amounts  reported  by 
brokers  and  ceding  companies,  supplemented  by  our  own 
estimates of premiums where reports have not been received. 
The determination of premium estimates requires a review of 
our  experience  with  the  ceding  companies,  familiarity  with 
each  market,  the  timing  of  the  reported  information,  an 
analysis and understanding of the characteristics of each line 
of  business,  and  management’s  judgment  of  the  impact  of 
various  factors,  including  premium  or  loss  trends,  on  the 
volume  of  business  written  and  ceded  to  us.  On  an  ongoing 
basis, our underwriters review the amounts reported by these 
third parties for reasonableness based on their experience and 
knowledge  of  the  subject  class  of  business,  taking  into 
account our historical experience with the brokers or ceding 
companies. In addition, reinsurance contracts under which we 
assume business generally contain specific provisions which 
allow us to perform audits of the ceding company to ensure 
compliance  with  the  terms  and  conditions  of  the  contract, 
including accurate and timely reporting of information. Based 
on  a  review  of  all  available  information,  management 
establishes  premium  estimates  where  reports  have  not  been 
received.  Premium  estimates  are  updated  when  new 
information 
is  received  and  differences  between  such 
estimates  and  actual  amounts  are  recorded  in  the  period  in 
which  estimates  are  changed  or  the  actual  amounts  are 

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Table of Contents

determined. Premiums written are recorded based on the type 
of  contracts  we  write.  Premiums  on  our  excess  of  loss  and 
pro  rata  reinsurance  contracts  are  estimated  when  the 
business  is  underwritten.  For  excess  of  loss  contracts, 
premiums  are  recorded  as  written  based  on  the  terms  of  the 
contract.  Estimates  of  premiums  written  under  pro  rata 
contracts are recorded in the period in which the underlying 
risks  incept  and  are  based  on  information  provided  by  the 
brokers and the ceding companies. For multi-year reinsurance 
treaties  which  are  payable  in  annual  installments,  generally, 
only  the  initial  annual  installment  is  included  as  premiums 
written at policy inception due to the ability of the reinsured 
to commute or cancel coverage during the term of the policy. 
The remaining annual installments are included as premiums 
written at each successive anniversary date within the multi-
year term.

reinstated 

Reinstatement  premiums  for  our  insurance  and  reinsurance 
operations  are  recognized  at  the  time  a  loss  event  occurs, 
where  coverage  limits  for  the  remaining  life  of  the  contract 
are 
terms. 
Reinstatement premiums, if obligatory, are fully earned when 
recognized.  The  accrual  of  reinstatement  premiums  is  based 
on an estimate of losses and loss adjustment expenses, which 
reflects  management’s  judgment,  as  described  above  in  “—
Loss Reserves.”

pre-defined 

contract 

under 

The  amount  of  reinsurance  premium  estimates  included  in 
premiums  receivable  and  the  amount  of  related  acquisition 
expenses  by 
follows  at 
type  of  business  were  as 
December 31, 2020:

Other specialty
Casualty
Property excluding 
property catastrophe
Marine and aviation
Property catastrophe
Other

Total 

Gross 
Amount

December 31, 2020
Acquisition 
Expenses

Net
Amount

$  285,738  $ 
125,675 

(82,226)  $  203,512 
91,518 
(34,157) 

132,553 
84,648 
20,053 
62,473 

90,281 
62,351 
16,767 
56,615 
$  711,140  $  (190,096)  $  521,044 

(42,272) 
(22,297) 
(3,286) 
(5,858) 

Premium  estimates  are  reviewed  by  management  at  least 
quarterly.  Such  review  includes  a  comparison  of  actual 
reported premiums to expected ultimate premiums along with 
a  review  of  the  aging  and  collection  of  premium  estimates. 
Based  on  management’s  review,  the  appropriateness  of  the 
premium estimates is evaluated, and any adjustment to these 
estimates  is  recorded  in  the  period  in  which  it  becomes 
known. Adjustments to premium estimates could be material 
and such adjustments could directly and significantly impact 
earnings  favorably  or  unfavorably  in  the  period  they  are 
determined  because  the  estimated  premium  may  be  fully  or 
substantially earned.

A  significant  portion  of  amounts  included  as  premiums 
receivable,  which  represent  estimated  premiums  written,  net 
of commissions, are not currently due based on the terms of 
the  underlying  contracts.  Based  on  currently  available 
information,  we  report  premiums  receivable  net  of  an 
allowance  for  expected  credit  loss.  We  monitor  credit  risk 
associated  with  premiums  receivable  through  our  ongoing 
review  of  amounts  outstanding,  aging  of  the  receivable, 
historical data and counterparty financial strength measures.

Reinsurance  premiums  assumed,  irrespective  of  the  class  of 
business,  are  generally  earned  on  a  pro  rata  basis  over  the 
terms  of  the  underlying  policies  or  reinsurance  contracts. 
Contracts  and  policies  written  on  a  “losses  occurring”  basis 
cover  claims  that  may  occur  during  the  term  of  the  contract 
or  policy,  which  is  typically  12  months.  Accordingly,  the 
premium is earned evenly over the term. Contracts which are 
written on a “risks attaching” basis cover claims which attach 
to the underlying insurance policies written during the terms 
of such contracts. Premiums earned on such contracts usually 
extend  beyond  the  original  term  of  the  reinsurance  contract, 
typically resulting in recognition of premiums earned over a 
24-month period.

Certain  of  our  reinsurance  contracts  include  provisions  that 
adjust  premiums  or  acquisition  expenses  based  upon  the 
experience under the contracts. Premiums written and earned, 
as  well  as  related  acquisition  expenses,  are  recorded  based 
upon the projected experience under such contracts.

Retroactive  reinsurance  reimburses  a  ceding  company  for 
liabilities incurred as a result of past insurable events covered 
by  the  underlying  policies  reinsured.  In  certain  instances, 
reinsurance contracts cover losses both on a prospective basis 
and on a retroactive basis and, accordingly, we bifurcate the 
prospective  and  retrospective  elements  of  these  reinsurance 
contracts  and  accounts  for  each  element  separately  where 
practical. Underwriting income generated in connection with 
retroactive  reinsurance  contracts  is  deferred  and  amortized 
into  income  over  the  settlement  period  while  losses  are 
charged  to  income  immediately.  Subsequent  changes  in 
estimated  amount  or  timing  of  cash  flows  under  such 
retroactive  reinsurance  contracts  are  accounted  for  by 
adjusting the previously deferred amount to the balance that 
would have existed had the revised estimate been available at 
the 
transaction,  with  a 
corresponding charge or credit to income.

the  reinsurance 

inception  of 

Mortgage  guaranty  insurance  policies  are  contracts  that  are 
generally  non-cancelable  by  the  insurer,  are  renewable  at  a 
fixed  price,  and  provide  for  payment  of  premiums  on  a 
monthly,  annual  or  single  basis.  Upon  renewal,  we  are  not 
able to re-underwrite or re-price our policies. Consistent with 
industry  accounting  practices,  premiums  written  on  a 
monthly basis are earned as coverage is provided. Premiums 
written  on  an  annual  basis  are  amortized  on  a  monthly  pro 

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rata  basis  over  the  year  of  coverage.  Primary  mortgage 
insurance  premiums  written  on  policies  covering  more  than 
one year are referred to as single premiums. A portion of the 
revenue  from  single  premiums  is  recognized  in  premiums 
earned  in  the  current  period,  and  the  remaining  portion  is 
deferred as unearned premiums and earned over the estimated 
expiration  of  risk  of  the  policy.  If  single  premium  policies 
related  to  insured  loans  are  canceled  for  any  reason  and  the 
policy  is  a  non-refundable  product,  the  remaining  unearned 
premium  related  to  each  canceled  policy  is  recognized  as 
earned premium upon notification of the cancellation. 

Unearned  premiums  represent  the  portion  of  premiums 
written  that  is  applicable  to  the  estimated  unexpired  risk  of 
insured  loans.  A  portion  of  premium  payments  may  be 
refundable  if  the  insured  cancels  coverage,  which  generally 
occurs  when  the  loan  is  repaid,  the  loan  amortizes  to  a 
sufficiently  low  amount  to  trigger  a  lender  permitted  or 
legally required cancellation, or the value of the property has 
increased  sufficiently  in  accordance  with  the  terms  of  the 
contract.  Premium  refunds  reduce  premiums  earned  in  the 
consolidated statements of income. Generally, only unearned 
premiums are refundable.

Acquisition costs that are directly related and incremental to 
the successful acquisition or renewal of business are deferred 
and amortized based on the type of contract. For property and 
casualty 
insurance  and  reinsurance  contracts,  deferred 
acquisition  costs  are  amortized  over  the  period  in  which  the 
related  premiums  are  earned.  Consistent  with  mortgage 
insurance  industry  accounting  practice,  amortization  of 
acquisition costs related to the mortgage insurance contracts 
for each underwriting year’s book of business is recorded in 
proportion to estimated gross profits. Estimated gross profits 
are  comprised  of  earned  premiums  and  losses  and  loss 
adjustment  expenses.  For  each  underwriting  year,  we 
estimate the rate of amortization to reflect actual experience 
and any changes to persistency or loss development.

Acquisition  expenses  and  other  expenses  related  to  our 
underwriting  operations  that  vary  with,  and  are  directly 
related  to,  the  successful  acquisition  or  renewal  of  business 
are deferred and amortized based on the type of contract. Our 
insurance  and  reinsurance  operations  capitalize  incremental 
direct external costs that result from acquiring a contract but 
do  not  capitalize  salaries,  benefits  and  other 
internal 
underwriting  costs.  For  our  mortgage  insurance  operations, 
which  include  a  substantial  direct  sales  force,  both  external 
and  certain  internal  direct  costs  are  deferred  and  amortized. 
Deferred  acquisition  costs  are  carried  at  their  estimated 
realizable value and take into account anticipated losses and 
loss  adjustment  expenses,  based  on  historical  and  current 
experience, and anticipated investment income. 

A premium deficiency occurs if the sum of anticipated losses 
and  loss  adjustment  expenses,  unamortized  acquisition  costs 

and  maintenance  costs  and  anticipated  investment  income 
exceed  unearned  premiums.  A  premium  deficiency  reserve 
(“PDR”) is recorded by charging any unamortized acquisition 
costs  to  expense  to  the  extent  required  in  order  to  eliminate 
the  deficiency. 
the  premium  deficiency  exceeds 
unamortized  acquisition  costs  then  a  liability  is  accrued  for 
the excess deficiency. 

If 

interest 

income.  Evaluating 

To assess the need for a PDR on our mortgage exposures, we 
develop  loss  projections  based  on  modeled  loan  defaults 
related  to  our  current  policies  in  force.  This  projection  is 
based  on  recent  trends  in  default  experience,  severity  and 
rates  of  defaulted  loans  moving  to  claim,  as  well  as  recent 
trends in the rate at which loans are prepaid, and incorporates 
the  expected 
anticipated 
profitability of our existing mortgage insurance business and 
the  need  for  a  PDR  for  our  mortgage  business  involves 
significant  reliance  upon  assumptions  and  estimates  with 
regard  to  the  likelihood,  magnitude  and  timing  of  potential 
losses and premium revenues. The models, assumptions and 
estimates we use to evaluate the need for a PDR may prove to 
be  inaccurate,  especially  during  an  extended  economic 
downturn  or  a  period  of  extreme  market  volatility  and 
uncertainty.

No premium deficiency charges were recorded by us during 
2020 and 2019.

Fair Value Measurements

We review our securities measured at fair value and discuss 
the proper classification of such investments with investment 
advisors  and  others.  See  note  10,  “Fair  Value,”  to  our 
consolidated financial statements in Item 8 for a summary of 
our  financial  assets  and  liabilities  measured  at  fair  value  at 
December 31, 2020 by valuation hierarchy.

Reclassifications

We  have  reclassified  the  presentation  of  certain  prior  year 
information  to  conform  to  the  current  presentation.  Such 
reclassifications  had  no  effect  on  our  net 
income, 
shareholders’ equity or cash flows.

Significant Accounting Pronouncements

For  all  other  significant  accounting  policies  see  note  3, 
“Significant  Accounting  Policies”  and  note  3-(r),  “Recent 
Accounting  Pronouncements”  to  our  consolidated  financial 
in  Item  8  for  disclosures  concerning  our 
statements 
companies  significant  accounting  policies  and 
recent 
accounting pronouncements.

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Table of Contents

FINANCIAL CONDITION

Investable Assets

At  December  31,  2020,  total  investable  assets  held  by  Arch 
were $26.9 billion, excluding the $2.7 billion included in the 
‘other’ segment (i.e., attributable to Watford).

Investable Assets Held by Arch 

The Finance, Investment and Risk Committee (“FIR”) of our 
board of directors establishes our investment policies and sets 
the  parameters  for  creating  guidelines  for  our  investment 
managers.  The  FIR  reviews  the  implementation  of  the 
investment strategy on a regular basis. Our current approach 
stresses  preservation  of  capital,  market 
liquidity  and 
diversification  of  risk.  While  maintaining  our  emphasis  on 
preservation of capital and liquidity, we expect our portfolio 
to become more diversified and, as a result, we may expand 
into  areas  which  are  not  currently  part  of  our  investment 
strategy.  Our  Chief  Investment  Officer  administers  the 
investment  portfolio,  oversees  our  investment  managers  and 
formulates investment strategy in conjunction with the FIR.

The  following  table  summarizes  the  fair  value  of  investable 
assets held by Arch (i.e., excluding the ‘other’ segment):

Investable assets (1):
December 31, 2020
Fixed maturities (2)
Short-term investments (2)
Cash
Equity securities (2)
Other investments

Other investable assets (3)

Investments accounted for using the equity 
method

Securities transactions entered into but not 
settled at the balance sheet date

Total investable assets held by Arch

Average effective duration (in years)
Average S&P/Moody’s credit ratings (4)
Embedded book yield (5)

December 31, 2019
Fixed maturities (2)
Short-term investments (2)
Cash
Equity securities (2)
Other investments 

Investments accounted for using the equity 
method

Securities transactions entered into but not 
settled at the balance sheet date

Total investable assets held by Arch

Average effective duration (in years)
Average S&P/Moody’s credit ratings (4)
Embedded book yield (5)

Estimated 
Fair Value

% of 
Total

$ 18,771,296 
  2,063,240 
694,997 
  1,436,104 
  1,480,347 

500,000 

  2,047,889 

69.9 
7.7 
2.6 
5.3 
5.5 

1.9 

7.6 

(137,578) 
$ 26,856,295 

(0.5) 
100.0 

3.01 
AA/Aa2
 1.56 %

$ 16,894,021 
  1,004,257 
623,793 
827,842 
  1,336,920 

  1,660,396 

75.8 
4.5 
2.8 
3.7 
6.0 

7.5 

(61,553) 
$ 22,285,676 

(0.3) 
100.0 

3.40 
AA/Aa2
 2.55 %

(1)

(2)

In securities lending transactions, we receive collateral in excess of the 
fair value of the securities pledged. For purposes of this table, we have 
excluded  the  collateral  received  under  securities  lending,  at  fair  value 
and  included  the  securities  pledged  under  securities  lending,  at  fair 
value.
Includes  investments  carried  as  available  for  sale,  at  fair  value  and  at 
fair value under the fair value option.

(3) Participation  interests  in  a  receivable  of  a  reverse  repurchase 

agreement.

(4) Average  credit  ratings  on  our  investment  portfolio  on  securities  with 
ratings  by  Standard  &  Poor’s  Rating  Services  (“S&P”)  and  Moody’s 
Investors Service (“Moody’s”).

(5) Before investment expenses.

At December 31, 2020, approximately $19.2 billion, or 71%, 
of  total  investable  assets  held  by  Arch  were  internally 
managed,  compared 
to  $15.8  billion,  or  71%,  at 
December 31, 2019. 

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The  following  table  summarizes  our  fixed  maturities  and 
fixed maturities pledged under securities lending agreements 
(“Fixed Maturities”) by type:

The  following  table  provides  information  on  the  severity  of 
the unrealized loss position as a percentage of amortized cost 
for  all  Fixed  Maturities  which  were  in  an  unrealized  loss 
position:

Estimated 
Fair Value

Gross
Unrealized
Losses

% of
Total Gross
Unrealized
Losses

Severity of gross 
unrealized losses:
December 31, 2020
0-10%
10-20%
20-30%
Greater than 30%

$  3,583,981  $ 

95,495 
1,061 
1,249 

Total

$  3,681,786  $ 

December 31, 2019
0-10%
10-20%
20-30%
Greater than 30%

$  4,136,798  $ 

12,405 
830 
315 

Total

$  4,150,348  $ 

(55,542) 
(12,183) 
(406) 
(1,785) 
(69,916) 

(49,072) 
(1,796) 
(273) 
(363) 
(51,504) 

79.4 
17.4 
0.6 
2.6 
100.0 

95.3 
3.5 
0.5 
0.7 
100.0 

The  following  table  summarizes  our  top  ten  exposures  to 
fixed income corporate issuers by fair value at December 31, 
2020, excluding guaranteed amounts and covered bonds:

Bank of America Corporation
JPMorgan Chase & Co.
Wells Fargo & Company
Nestlé S.A.
Citigroup Inc.
Morgan Stanley
Johnson & Johnson
Apple Inc.
The Goldman Sachs Group, Inc.
Comcast Corporation
Total

Estimated 
Fair Value

Credit
Rating (1)

$ 

323,808 
275,040 
264,035 
213,454 
187,920 
178,906 
156,579 
152,573 
129,030 
115,407 
$  1,996,752 

A-/A2
A-/A2
BBB+/A2
AA-/Aa3
BBB+/A3
BBB+/A2
AAA/Aaa
AA+/Aa1
BBB+/A3
A-/A3

(1)

Average  credit  ratings  as  assigned  by  S&P  and  Moody’s, 
respectively.

December 31, 2020
Corporate bonds
Mortgage backed securities
Municipal bonds
Commercial mortgage backed securities
U.S. government and government agencies
Non-U.S. government securities
Asset backed securities

Total

December 31, 2019
Corporate bonds
Mortgage backed securities
Municipal bonds
Commercial mortgage backed securities
U.S. government and government agencies
Non-U.S. government securities
Asset backed securities

Total

Estimated 
Fair Value

% of
Total

$  8,039,745 
616,619 
492,734 
390,990 
5,354,863 
2,310,157 
1,566,188 
$  18,771,296 

$  6,561,354 
541,800 
880,119 
734,244 
4,632,947 
1,995,813 
1,547,744 
$  16,894,021 

42.8 
3.3 
2.6 
2.1 
28.5 
12.3 
8.3 
100.0 

38.8 
3.2 
5.2 
4.3 
27.4 
11.8 
9.2 
100.0 

The following table provides the credit quality distribution of 
our  Fixed  Maturities.  For  individual  fixed  maturities,  S&P 
ratings  are  used.  In  the  absence  of  an  S&P  rating,  ratings 
from  Moody’s  are  used,  followed  by  ratings  from  Fitch 
Ratings.

December 31, 2020
U.S. government and gov’t agencies (1)
AAA
AA
A
BBB
BB
B
Lower than B
Not rated
Total

December 31, 2019
U.S. government and gov’t agencies (1)
AAA
AA
A
BBB
BB
B
Lower than B
Not rated
Total

Estimated 
Fair Value

% of
Total

$  5,963,758 
3,117,046 
2,063,738 
3,760,280 
2,699,201 
574,189 
268,095 
54,795 
270,194 
$  18,771,296 

$  5,215,489 
3,392,341 
2,115,828 
3,849,458 
1,495,467 
355,803 
216,663 
56,865 
196,107 
$  16,894,021 

31.8 
16.6 
11.0 
20.0 
14.4 
3.1 
1.4 
0.3 
1.4 
100.0 

30.9 
20.1 
12.5 
22.8 
8.9 
2.1 
1.3 
0.3 
1.2 
100.0 

(1)

Includes  U.S.  government-sponsored  agency  mortgage  backed 
securities and agency commercial mortgage backed securities.

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2020  FORM 10-K

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
The  following  table  summarizes  our  investments  accounted 
for using the equity method, by strategy:

December 31,

Credit related funds
Equities
Real estate
Lending
Private equity
Infrastructure
Energy
Total

$ 

2020
740,060  $ 
343,058 
258,518 
179,629 
235,289 
175,882 
115,453 

2019
428,437 
293,686 
246,851 
202,690 
144,983 
235,033 
108,716 
$  2,047,889  $  1,660,396 

Our  investment  strategy  allows  for  the  use  of  derivative 
instruments.  We  utilize  various  derivative  instruments  such 
as  futures  contracts  to  enhance  investment  performance, 
replicate  investment  positions  or  manage  market  exposures 
and duration risk that would be allowed under our investment 
guidelines  if  implemented  in  other  ways.  See  note  11, 
“Derivative  Instruments,”  to  our  consolidated  financial 
statements  in  Item  8  for  additional  disclosures  concerning 
derivatives.

Accounting  guidance  regarding  fair  value  measurements 
addresses  how  companies  should  measure  fair  value  when 
they are required to use a fair value measure for recognition 
or disclosure purposes under GAAP and provides a common 
definition  of  fair  value  to  be  used  throughout  GAAP.  See 
note  10,  “Fair  Value,” 
to  our  consolidated  financial 
statements  in  Item  8  for  a  summary  of  our  financial  assets 
and  liabilities  measured  at  fair  value  at  December  31,  2020 
and 2019 segregated by level in the fair value hierarchy.

Investable Assets in the ‘Other’ Segment

Investable  assets  in  the  ‘other’  segment  are  managed  by 
Watford. The board of directors of Watford establishes their 
investment policies and guidelines.

Table of Contents

The  following  table  provides  information  on  our  structured 
residential  mortgage-backed 
securities,  which 
securities  (RMBS),  commercial  mortgage-backed  securities 
(CMBS) and asset backed securities (“ABS”):

include 

Agencies

Investment 
Grade

Below 
Investment 
Grade

Total

Dec. 31, 2020
RMBS
CMBS
ABS

Total

Dec. 31, 2019
RMBS
CMBS
ABS

Total

4,102  $ 

$  584,499  $ 
24,396 
— 

28,018  $  616,619 
390,990 
24,103 
  1,566,188 
163,051 
$  608,895  $  1,749,730  $  215,172  $  2,573,797 

342,491 
  1,403,137 

7,770  $ 

$  503,929  $ 
78,612 
— 

30,101  $  541,800 
734,244 
26,208 
  1,547,744 
64,295 
$  582,541  $  2,120,643  $  120,604  $  2,823,788 

629,424 
  1,483,449 

The following table summarizes our equity securities, which 
include investments in exchange traded funds:

Equities (1)

Exchange traded funds

Fixed income (2)

Equity and other (3)

Total

December 31,

2020
676,437  $ 

2019
375,067 

$ 

341,139 

418,528 

7,237 

445,538 

$  1,436,104  $ 

827,842 

(1) Primarily  in  consumer  non-cyclical,  consumer  cyclical,  technology, 

communications and industrial stocks at December 31, 2020.

(2) Primarily in corporate and MBS at December 31, 2020.
(3) Primarily  in  foreign  equities,  utilities,  large  and  mid  cap  stocks  at 

December 31, 2020.

The  following  table  summarizes  our  other  investments  and 
other investable assets:

Term loan investments
Lending
Credit related funds
Energy
Investment grade fixed income
Infrastructure
Private equity
Real estate

Total fair value option

Other investable assets

December 31,

2020

2019

380,193 
572,636 
90,780 
65,813 
138,646 
165,516 
48,750 
18,013 
1,480,347 

500,000 

264,083 
602,841 
123,020 
97,402 
151,594 
61,786 
18,915 
17,279 
1,336,920 

— 

Total other investments

$  1,980,347  $  1,336,920 

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2020  FORM 10-K

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Table of Contents

The  following  table  summarizes  investable  assets  in  the 
‘other’ segment:

Reserves for Losses and Loss Adjustment Expenses

December 31,

2020

2019

$ 

851,538  $  1,092,396 
416,592 
455,163 
329,303 
418,690 
59,799 
64,994 
1,898,090 
1,790,385 

613,503 
52,410 
211,451 
(21,679) 

706,875 
65,337 
102,437 
(66,257) 

11,542 

(1,893) 

We establish reserves for losses and LAE (“Loss Reserves”) 
which  represent  estimates  involving  actuarial  and  statistical 
projections,  at  a  given  point  in  time,  of  our  expectations  of 
the  ultimate  settlement  and  administration  costs  of  losses 
incurred. Estimating Loss Reserves is inherently difficult. We 
utilize  actuarial  models  as  well  as  available  historical 
insurance industry loss ratio experience and loss development 
patterns  to  assist  in  the  establishment  of  Loss  Reserves. 
Actual losses and loss adjustment expenses paid will deviate, 
perhaps substantially, from the reserve estimates reflected in 
our financial statements. See “Management’s Discussion and 
Analysis of Financial Condition and Results of Operations—
Critical  Accounting  Policies,  Estimates  and  Recent 
Accounting  Pronouncements—Loss  Reserves”  and  see  Item 
1“Business—Reserves” for further details.

$  2,657,612  $  2,704,589 

Shareholders’ Equity and Book Value per Share

Investments accounted for using the fair 
value option:

Other investments
Fixed maturities
Short-term investments
Equity securities

Total

Fixed maturities available for sale, at fair 
value
Equity securities
Cash
Securities sold but not yet purchased

Securities transactions entered into but 
not settled at the balance sheet date

Total investable assets included in ‘other’ 
segment

Reinsurance Recoverables

The  following  table  details  our  reinsurance  recoverables  at 
December 31, 2020:

Lloyd’s syndicates (2)
Hannover Rück SE

Swiss Reinsurance America Corporation
Everest Reinsurance Company
Partner Reinsurance Company of the U.S.
XL Re
Liberty Mutual Insurance Company
Munich Reinsurance America, Inc.
Berkley Insurance Company
Transatlantic Reinsurance Company
Odyssey Re
All other -- “A-” or better
All other -- not rated (3)

Total

A.M. Best 
Rating (1)
A
A+

A+
A+
A+
A+
A
A+
A+
A+
A

% of 
Total

5.5 
5.1 

4.9 
4.5 
3.4 
3.3 
3.2 
3.1 
2.5 
2.5 
1.9 
24.0 
36.1 
100.0 

(1)  The  financial  strength  ratings  are  as  of  February  11,  2021  and  were 
assigned  by  A.M.  Best  based  on  its  opinion  of  the  insurer’s  financial 
strength as of such date. An explanation of the ratings listed in the table 
follows:  the  rating  of  “A+”  is  designated  “Superior”;  and  the  “A” 
rating is designated “Excellent.”

(2)  The A.M. Best group rating of “A” (Excellent) has been applied to all 

Lloyd’s syndicates. 

(3)  Over 94% of such amount is collateralized through reinsurance trusts, 

funds withheld arrangements, letters of credit or other.

See  note  8,  “Reinsurance,”  to  our  consolidated  financial 
statements in Item 8 for further details.

Total  shareholders’  equity  available  to  Arch  was  $13.1 
billion  at  December  31,  2020,  compared  to  $11.5  billion  at 
December 31, 2019. The increase in 2020 primarily reflected 
the  impact  of  investment  returns,  partially  offset  by  the 
impact  of  a  higher  level  of  catastrophic  activity  (including 
COVID-19) on underwriting returns.

The  following  table  presents  the  calculation  of  book  value 
per share:

(U.S. dollars in thousands, except share 
data)

December 31,

2020

2019

Total shareholders’ equity available to 
Arch
Less preferred shareholders’ equity

$  13,105,886  $  11,497,371 
780,000 

780,000 

Common shareholders’ equity available to 
Arch

$  12,325,886  $  10,717,371 

Common shares and common share 
equivalents outstanding, net of treasury 
shares (1)

Book value per share

406,720,642

405,619,201

$ 

30.31  $ 

26.42 

(1)  Excludes  the  effects  of  17,839,333  and  18,853,018  stock  options  and 
1,153,784  and  1,586,779  restricted  stock  and  performance  units 
outstanding at December 31, 2020 and 2019, respectively.

LIQUIDITY

Our  liquidity  and  capital  resources  were  not  materially 
impacted  by  COVID-19  during  the  2020  period.  We  raised 
an additional $1.0 billion of capital in the form of long-term 
senior notes at the end of June 2020. For further discussion of 
our risks related to our potential future impacts of COVID-19 
on our liquidity and capital resources, see “ITEM 1A—Risk 
Factors”.

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This  section  does  not  include  information  specific  to 
Watford.  We  do  not  guarantee  or  provide  credit  support  for 
Watford, and our financial exposure to Watford is limited to 
our  investment  in  Watford’s  senior  notes,  common  and 
preferred  shares  and  counterparty  credit  risk  (mitigated  by 
transactions  with 
collateral)  arising 
Watford.

reinsurance 

from 

Liquidity is a measure of our ability to access sufficient cash 
flows to meet the short-term and long-term cash requirements 
of our business operations. 

Arch  Capital  is  a  holding  company  whose  assets  primarily 
consist  of  the  shares  in  its  subsidiaries.  Generally,  Arch 
Capital  depends  on  its  available  cash  resources,  liquid 
investments  and  dividends  or  other  distributions  from  its 
subsidiaries to make payments, including the payment of debt 
service  obligations  and  operating  expenses  it  may  incur  and 
any  dividends  or  liquidation  amounts  with  respect  to  our 
preferred and common shares. 

In  2020,  Arch  Capital  received  dividends  of  $221.6  million 
from  Arch  Re  Bermuda,  our  Bermuda-based  reinsurer  and 
insurer  which  can  pay  approximately  $3.8  billion  to  Arch 
Capital  in  2021  without  providing  an  affidavit  to  the 
Bermuda Monetary Authority (“BMA”).

received 

Our insurance and reinsurance operations provide liquidity in 
that  premiums  are 
in  advance,  sometimes 
substantially  in  advance,  of  the  time  losses  are  paid.  The 
period  of  time  from  the  occurrence  of  a  claim  through  the 
settlement  of  the  liability  may  extend  many  years  into  the 
future.  Sources  of 
include  cash  flows  from 
operations,  financing  arrangements  or  routine  sales  of 
investments.

liquidity 

As  part  of  our  investment  strategy,  we  seek  to  establish  a 
level  of  cash  and  highly  liquid  short-term  and  intermediate-
term securities which, combined with expected cash flow, is 
believed  by  us  to  be  adequate  to  meet  our  foreseeable 
payment  obligations.  However,  due  to  the  nature  of  our 
operations,  cash  flows  are  affected  by  claim  payments  that 
may comprise large payments on a limited number of claims 
and  which  can  fluctuate  from  year  to  year.  We  believe  that 
our  liquid  investments  and  cash  flow  will  provide  us  with 
sufficient  liquidity  in  order  to  meet  our  claim  payment 
obligations. However, the timing and amounts of actual claim 
payments  related  to  recorded  Loss  Reserves  vary  based  on 
many  factors,  including  large  individual  losses,  changes  in 
the legal environment, as well as general market conditions. 
The  ultimate  amount  of  the  claim  payments  could  differ 
materially  from  our  estimated  amounts.  Certain  lines  of 
business  written  by  us,  such  as  excess  casualty,  have  loss 
experience characterized as low frequency and high severity. 
The  foregoing  may  result  in  significant  variability  in  loss 
payment  patterns.  The  impact  of  this  variability  can  be 

exacerbated  by  the  fact  that  the  timing  of  the  receipt  of 
reinsurance  recoverables  owed  to  us  may  be  slower  than 
anticipated  by  us.  Therefore,  the  irregular  timing  of  claim 
payments can create significant variations in cash flows from 
operations  between  periods  and  may  require  us  to  utilize 
other  sources  of  liquidity  to  make  these  payments,  which 
may include the sale of investments or utilization of existing 
or  new  credit  facilities  or  capital  market  transactions.  If  the 
source  of  liquidity  is  the  sale  of  investments,  we  may  be 
forced  to  sell  such  investments  at  a  loss,  which  may  be 
material.

We expect that our liquidity needs, including our anticipated 
insurance  obligations  and  operating  and  capital  expenditure 
needs, for the next twelve months, at a minimum, will be met 
by  funds  generated  from  underwriting  activities  and 
investment income, as well as by our balance of cash, short-
term  investments,  proceeds  on  the  sale  or  maturity  of  our 
investments, and our credit facilities.

Dividend Restrictions 

Arch  Capital  has  no  material  restrictions  on  its  ability  to 
make  distributions  to  shareholders.  However,  the  ability  of 
our  regulated  insurance  and  reinsurance  subsidiaries  to  pay 
dividends  or  make  distributions  or  other  payments  to  us  is 
limited by the applicable local laws and relevant regulations 
of the various countries and states in which we operate. See 
note  25,  “Statutory  Information,” 
to  our  consolidated 
financial  statements  in  Item  8  for  additional  information  on 
dividend restrictions.

The payment of dividends from Arch Re Bermuda is, under 
certain  circumstances,  limited  under  Bermuda  law,  which 
requires  our  Bermuda  operating  subsidiary  to  maintain 
certain measures of solvency and liquidity.

Our  U.S.  insurance  and  reinsurance  subsidiaries  are  subject 
to insurance laws and regulations in the jurisdictions in which 
they  operate.  The  ability  of  our  regulated 
insurance 
subsidiaries  to  pay  dividends  or  make  distributions  is 
dependent  on  their  ability  to  meet  applicable  regulatory 
standards. These regulations include restrictions that limit the 
amount  of  dividends  or  other  distributions,  such  as  loans  or 
cash  advances,  available  to  shareholders  without  prior 
approval  of  the  insurance  regulatory  authorities.  Each  state 
requires  prior  regulatory  approval  of  any  payment  of 
extraordinary dividends.

We  also  have  insurance  subsidiaries  that  are  the  parent 
company  for  other  insurance  subsidiaries,  which  means  that 
dividends  and  other  distributions  will  be  subject  to  multiple 
layers of regulations in order for our insurance subsidiaries to 
be able to dividend funds to Arch Capital. The inability of the 
subsidiaries  of  Arch  Capital  to  pay  dividends  and  other 
permitted  distributions  could  have  a  material  adverse  effect 

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on Arch Capital’s cash requirements and our ability to make 
principal, interest and dividend payments on the senior notes, 
preferred shares and common shares.

In  addition  to  meeting  applicable  regulatory  standards,  the 
ability  of  our  insurance  and  reinsurance  subsidiaries  to  pay 
dividends  is  also  constrained  by  our  dependence  on  the 
financial  strength  ratings  of  our  insurance  and  reinsurance 
subsidiaries  from  independent  rating  agencies.  The  ratings 
from  these  agencies  depend  to  a  large  extent  on  the 
insurance  and  reinsurance 
capitalization 
subsidiaries. We believe that Arch Capital has sufficient cash 
resources  and  available  dividend  capacity  to  service  its 
indebtedness and other current outstanding obligations.

levels  of  our 

Restricted Assets 

insurance, 

reinsurance  and  mortgage 

Our 
insurance 
subsidiaries are required to maintain assets on deposit, which 
primarily consist of fixed maturities, with various regulatory 
authorities to support their operations. The assets on deposit 
are available to settle insurance and reinsurance liabilities to 
third  parties.  Our  insurance  and  reinsurance  subsidiaries 
maintain  assets  in  trust  accounts  as  collateral  for  insurance 
and  reinsurance  transactions  with  affiliated  companies  and 
also  have  investments  in  segregated  portfolios  primarily  to 
provide  collateral  or  guarantees  for  letters  of  credit  to  third 
parties.  At  December  31,  2020  and  2019,  such  amounts 
approximated  $7.7  billion  and  $6.8  billion,  respectively, 
excluding amounts related to the ‘other’ segment.

Our investments in certain securities, including certain fixed 
income  and  structured  securities,  investments  in  funds 
accounted  for  using  the  equity  method,  other  alternative 
investments and investments in ventures such as Watford and 
others  may  be  illiquid  due  to  contractual  provisions  or 
investment  market  conditions.  If  we  require  significant 
amounts of cash on short notice in excess of anticipated cash 
requirements,  then  we  may  have  difficulty  selling  these 
investments  in  a  timely  manner  or  may  be  forced  to  sell  or 
terminate 
them  at  unfavorable  values.  Our  unfunded 
investment  commitments  totaled  approximately  $2.1  billion 
at  December  31,  2020  and  are  callable  by  our  investment 
managers.  The 
investment 
commitments is uncertain and may require us to access cash 
on short notice.

the  funding  of 

timing  of 

Cash Flows 

The  following  table  summarizes  our  cash  flows  from 
operating, 
investing  and  financing  activities,  excluding 
amounts related to the ‘other’ segment:

Year Ended December 31,

2020

2019

Total cash provided by (used for):
Operating activities
Investing activities
Financing activities

$  2,705,054  $  1,810,060 
  (1,689,640) 
  (3,301,816) 
3,663 
856,771 

Effects of exchange rate changes on foreign 
currency cash
Increase (decrease) in cash

17,822 
277,831  $ 

16,063 
140,146 

$ 

•
Cash  provided  by  operating  activities  for  2020  was 
higher  than  in  2019,  primarily  reflected  a  higher  level  of 
premiums collected than in the 2019 period.

•
Cash  used  for  investing  activities  for  2020  was 
higher  than  in  2019,  reflecting  a  higher  level  of  securities 
purchased,  and  the  investing  of  proceeds  from  our  issuance 
of senior notes.

•
Cash  provided  by  financing  activities  for  2020  was 
higher than in 2019, primarily reflected the issuance of $1.0 
billion  of  senior  notes.  Cash  flows  also  reflected  $83.5 
million of repurchases under our share repurchase program.

Investments 

At  December  31,  2020,  our  investable  assets  were  $26.9 
billion, excluding the $2.7 billion of investable assets related 
to  the  ‘other’  segment.  The  primary  goals  of  our  asset 
liability  management  process  are  to  satisfy  the  insurance 
liabilities,  manage  the  interest  rate  risk  embedded  in  those 
insurance liabilities and maintain sufficient liquidity to cover 
fluctuations  in  projected  liability  cash  flows,  including  debt 
service  obligations.  Generally,  the  expected  principal  and 
interest  payments  produced  by  our  fixed  income  portfolio 
adequately  fund  the  estimated  runoff  of  our  insurance 
reserves.  Although  this  is  not  an  exact  cash  flow  match  in 
each period, the substantial degree by which the fair value of 
the fixed income portfolio exceeds the expected present value 
of  the  net  insurance  liabilities,  as  well  as  the  positive  cash 
flow from newly sold policies and the large amount of high 
quality liquid bonds, provide assurance of our ability to fund 
the  payment  of  claims  and  to  service  our  outstanding  debt 
without having to sell securities at distressed prices or access 
credit facilities. Please refer to Item 1A “Risk Factors” for a 
discussion  of  other  risks  relating  to  our  business  and 
investment portfolio.

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CAPITAL RESOURCES

This  section  does  not  include  information  specific  to 
Watford.  We  do  not  guarantee  or  provide  credit  support  for 
Watford, and our financial exposure to Watford is limited to 
our  investment  in  Watford’s  senior  notes,  common  and 
preferred  shares  and  counterparty  credit  risk  (mitigated  by 
collateral)  arising 
transactions  with 
Watford.

reinsurance 

from 

The  following  table  provides  an  analysis  of  our  capital 
structure:

(U.S. dollars in thousands, except 
share data)
Senior notes

December 31,

2020

2019

$  2,723,423  $  1,734,209 

Shareholders’ equity available to Arch:

Series E non-cumulative preferred shares

Series F non-cumulative preferred shares

Common shareholders’ equity

Total

450,000 

330,000 

450,000 

330,000 

  12,325,886 

  10,717,371 

$ 13,105,886  $ 11,497,371 

Total capital available to Arch

$ 15,829,309  $ 13,231,580 

Debt to total capital (%)

Preferred to total capital (%)

Debt and preferred to total capital (%)

 17.2 

 4.9 

 22.1 

 13.1 

 5.9 

 19.0 

On June 30, 2020, Arch Capital issued $1.0 billion of 30 year 
senior  notes.  The  net  proceeds  of  the  offering  were 
contributed to Arch Re Bermuda to support our underwriting 
operations. 

In  November  2020,  Arch  Capital,  Arch-U.S.  and  Arch 
Finance filed a universal shelf registration statement with the 
SEC.  This  registration  statement  allows  for  the  possible 
future  offer  and  sale  by  us  of  various  types  of  securities, 
including  unsecured  debt  securities,  preference  shares, 
common shares, warrants, share purchase contracts and units 
and  depositary  shares.  The  shelf  registration  statement 
enables us to efficiently access the public debt and/or equity 
capital markets in order to meet our future capital needs. The 
shelf  registration  statement  also  allows  selling  shareholders 
to  resell  common  shares  that  they  own  in  one  or  more 
offerings from time to time. We will not receive any proceeds 
from any shares offered by the selling shareholders.

Capital Adequacy

We monitor our capital adequacy on a regular basis and will 
seek to adjust our capital base (up or down) according to the 
needs of our business. The future capital requirements of our 
business will depend on many factors, including our ability to 
write  new  business  successfully  and  to  establish  premium 
rates  and  reserves  at  levels  sufficient  to  cover  losses.  Our 

ability to underwrite is largely dependent upon the quality of 
our claims paying and financial strength ratings as evaluated 
by independent rating agencies. In particular, we require (1) 
sufficient capital to maintain our financial strength ratings, as 
issued  by  several  ratings  agencies,  at  a  level  considered 
necessary  by  management  to  enable  our  key  operating 
subsidiaries  to  compete;  (2)  sufficient  capital  to  enable  our 
underwriting  subsidiaries  to  meet  the  capital  adequacy  tests 
performed  by  statutory  agencies  in  the  U.S.  and  other  key 
markets;  and  (3)  our  non-U.S.  operating  companies  are 
required to post letters of credit and other forms of collateral 
that  are  necessary  for  them  to  operate  as  they  are  “non-
admitted” under U.S. state insurance regulations.

In addition, Arch MI U.S. is required to maintain compliance 
with  the  GSEs  requirements,  known  as  PMIERs.  The 
financial requirements require an eligible mortgage insurer’s 
available assets, which generally include only the most liquid 
assets  of  an  insurer,  to  meet  or  exceed  “minimum  required 
assets” as of each quarter end. Minimum required assets are 
calculated from PMIERs tables with several risk dimensions 
(including  origination  year,  original 
loan-to-value  and 
original credit score of performing loans, and the delinquency 
status of non-performing loans) and are subject to a minimum 
amount.  Arch  MI  U.S.  satisfied  the  PMIERs’  financial 
requirements  as  of  December  31,  2020  with  a  PMIER 
to  161%  at 
sufficiency 
December 31, 2019.

ratio  of  173%,  compared 

As part of our capital management program, we may seek to 
raise  additional  capital  or  may  seek  to  return  capital  to  our 
shareholders  through  share  repurchases,  cash  dividends  or 
other methods (or a combination of such methods). Any such 
determination  will  be  at  the  discretion  of  our  board  of 
directors  and  will  be  dependent  upon  our  profits,  financial 
requirements  and  other  factors,  including  legal  restrictions, 
rating  agency  requirements  and  such  other  factors  as  our 
board of directors deems relevant.

To the extent that our existing capital is insufficient to fund 
our  future  operating  requirements  or  maintain  such  ratings, 
we may need to raise additional funds through financings or 
limit  our  growth.  We  can  provide  no  assurance  that,  if 
needed, we would be able to obtain additional funds through 
financing  on  satisfactory  terms  or  at  all.  Any  adverse 
developments  in  the  financial  markets,  such  as  disruptions, 
uncertainty or volatility in the capital and credit markets, may 
result in realized and unrealized capital losses that could have 
a  material  adverse  effect  on  our  results  of  operations, 
financial position and our businesses, and may also limit our 
access to capital required to operate our business. In addition 
to  common  share  capital,  we  depend  on  external  sources  of 
finance  to  support  our  underwriting  activities,  which  can  be 
in  the  form  (or  any  combination)  of  debt  securities, 
preference  shares,  common  equity  and  bank  credit  facilities 
providing loans and/or letters of credit. 

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Arch  Capital,  through  its  subsidiaries,  provides  financial 
support to certain of its insurance subsidiaries and affiliates, 
through  certain  reinsurance  arrangements  beneficial  to  the 
ratings  of  such  subsidiaries.  Historically,  our  U.S.-based 
insurance,  reinsurance  and  mortgage  insurance  subsidiaries 
have  entered  into  separate  reinsurance  arrangements  with 
Arch Re Bermuda covering individual lines of business. The 
reinsurance  agreements  between  our  U.S.-based  property 
casualty insurance and reinsurance subsidiaries and Arch Re 
Bermuda  were  canceled  on  a  cutoff  basis  as  of  January  1, 
2018. As a result, the level of subject business ceded to Arch 
Re Bermuda was substantially lower beginning in 2018 than 
in  prior  periods.  In  2019,  certain  reinsurance  agreements 
between  our  insurance  and  reinsurance  subsidiaries  were 
reinstated.

Except as described in the above paragraph, or where express 
reinsurance,  guarantee  or  other  financial  support  contractual 
arrangements are in place, each of Arch Capital’s subsidiaries 
or  affiliates  is  solely  responsible  for  its  own  liabilities  and 
commitments  (and  no  other  Arch  Capital  subsidiary  or 
affiliate  is  so  responsible).  Any  reinsurance  arrangements, 
contractual 
guarantees 
arrangements that are in place are solely for the benefit of the 
Arch Capital subsidiary or affiliate involved and third parties 
(creditors  or  insureds  of  such  entity)  are  not  express 
beneficiaries of such arrangements.

financial 

support 

other 

or 

Share Repurchase Program 

The  board  of  directors  of  Arch  Capital  has  authorized  the 
investment in Arch Capital’s common shares through a share 
repurchase  program.  Since  the  inception  of  the  share 
repurchase  program  through  December  31,  2020,  Arch 
Capital  has 
repurchased  approximately  389.2  million 
common  shares  for  an  aggregate  purchase  price  of  $4.1 
billion.  At  December  31,  2020,  $916.5  million  of  share 
repurchases  were  available  under  the  program.  Repurchases 
under the program may be effected from time to time in open 
through 
market  or  privately  negotiated 
December  31,  2021.  The 
the 
repurchase transactions under this program will depend on a 
variety  of 
the 
development  of  the  economy,  corporate  and  regulatory 
considerations.  We  will  continue  to  monitor  our  share  price 
and, depending upon results of operations, market conditions 
and the development of the economy, as well as other factors, 
we will consider share repurchases on an opportunistic basis. 
See note 27, “Subsequent Events”.

including  market  conditions, 

timing  and  amount  of 

transactions 

factors, 

GUARANTOR INFORMATION

The  below  table  provides  a  description  of  our  senior  notes 
payable  at  December  31,  2020,  excluding  amounts 
attributable to the ‘other’ segment (i.e., Watford):

Issuer/Due

Arch Capital:

May 1, 2034
June 30, 2050

Arch-U.S.:

Nov. 1, 2043 (1)

Arch Finance:

Dec. 15, 2026 (1)
Dec. 15, 2046 (1)

Total

Interest
(Fixed)

Principal
Amount

Carrying
Amount

 7.350 % $ 
 3.635 %

300,000  $ 

1,000,000

297,367 
988,500

 5.144 %

500,000

494,944

 4.011 %
 5.031 %

500,000
450,000

497,211
445,402
$  2,750,000  $  2,723,424 

(1) Fully and unconditionally guaranteed by Arch Capital.

Our  senior  notes  were  issued  by  Arch  Capital,  Arch  Capital 
Group  (U.S.)  Inc.  (“Arch-U.S.”)  and  Arch  Capital  Finance 
LLC  (“Arch  Finance”).  Arch-U.S. 
is  a  wholly-owned 
subsidiary  of  Arch  Capital  and  Arch  Finance  is  a  wholly-
owned  finance  subsidiary  of  Arch-U.S.  Our  2034  senior 
notes  and  2050  senior  notes  issued  by  Arch  Capital  are 
unsecured  and  unsubordinated  obligations  of  Arch  Capital 
and  ranked  equally  with  all  of  its  existing  and  future 
unsecured and unsubordinated indebtedness. The 2043 senior 
notes issued by Arch-U.S. are unsecured and unsubordinated 
obligations  of  Arch-U.S.  and  Arch  Capital  and  rank  equally 
and  ratably  with  the  other  unsecured  and  unsubordinated 
indebtedness of Arch-U.S. and Arch Capital. The 2026 senior 
notes  and  2046  senior  notes  issued  by  Arch  Finance  are 
unsecured  and  unsubordinated  obligations  of  Arch  Finance 
and Arch Capital and rank equally and ratably with the other 
unsecured and unsubordinated indebtedness of Arch Finance 
and Arch Capital. 

Arch Capital and Arch-U.S. are each holding companies and, 
accordingly, they conduct substantially all of their operations 
through their operating subsidiaries. Arch Finance is a wholly 
owned  subsidiary  of  Arch  U.S.  MI  Holdings  Inc.,  a  U.S. 
holding  company.  As  a  result,  Arch  Capital,  Arch-U.S.  and 
Arch  Finance's  cash  flows  and  their  ability  to  service  their 
debt  depends  upon 
their  operating 
subsidiaries  and  on  their  ability  to  distribute  the  earnings, 
loans  or  other  payments  from  such  subsidiaries  to  Arch 
Capital, Arch-U.S. and Arch Finance, respectively. 

the  earnings  of 

See  note  19,  “Debt  and  Financing  Arrangements,”  to  our 
consolidated  financial  statements  in  Item  8  for  additional 
disclosures concerning our senior notes and revolving credit 
agreement  borrowings.  For  additional  information  on  our 
preferred shares, see note 21, “Shareholders’ Equity,” to our 
consolidated financial statements in Item 8.

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During 2020 and 2019, we made interest payments of $110.5 million and $98.7 million respectively, related to our senior notes 
and other financing arrangements.

The  following  tables  present  condensed  financial  information  for  Arch  Capital  (parent  guarantor)  and  Arch-U.S.  (subsidiary 
issuer):

December 31, 2020

December 31, 2019

Arch Capital

Arch-U.S.

Arch Capital

Arch-U.S.

Assets
Total investments
Cash
Investments in subsidiaries
Due from subsidiaries and affiliates
Other assets
Total assets

Liabilities
Senior notes

Due to subsidiaries and affiliates

Other liabilities
Total liabilities

Shareholders' Equity

Total shareholders' equity available to Arch

Total shareholders' equity

$ 

42  $ 

172  $ 

692,606 
54,518 
4,347,806 
200,635 
32,187 
$  14,415,023  $  5,849,739  $  11,825,494  $  5,327,752 

396,547  $ 
11,368 
5,205,904 
201,515 
34,405 

18,113 
  11,786,861 
17 
20,461 

18,932 
  14,377,529 
— 
18,390 

1,285,867 

— 

23,270 
1,309,137 

494,944 

586,805 

41,876 
1,123,625 

297,254 

— 

30,869 
328,123 

494,831 

536,805 

33,267 
1,064,903 

  13,105,886 
  13,105,886 

4,726,114 
4,726,114 

  11,497,371 
  11,497,371 

4,262,849 
4,262,849 

Total liabilities and shareholders' equity

$  14,415,023  $  5,849,739  $  11,825,494  $  5,327,752 

Revenues

Net investment income

Net realized gains (losses)

Equity in net income (loss) of investments accounted for using the equity method

Other income (loss)

Total revenues

Expenses

Corporate expenses

Interest expense

Net foreign exchange (gains) losses

Total expenses

Income (loss) before income taxes

Income tax (expense) benefit

Income (loss) before equity in net income of subsidiaries

Equity in net income of subsidiaries

Net income available to Arch

Preferred dividends

Net income available to Arch common shareholders

Year Ended

Year Ended

December 31, 2020

December 31, 2019

Arch 
Capital

Arch-U.S.

Arch 
Capital

Arch-U.S.

$ 

53  $  18,084  $ 

212  $  14,270 

(2,110) 

— 

(437) 

26,096 

2,507 

— 

(2,494) 

46,687 

— 

— 

(762) 

(550) 

65,566 

40,445 

3 

7,227 

47,566 

— 

62,701 

22,154 

1 

25,313 

779 

— 

40,362 

7,221 

47,951 

— 

  106,014 

54,793 

84,856 

55,172 

  (108,508) 

(8,106) 

(85,406) 

(14,810) 

— 

2,689 

— 

3,696 

  (108,508) 

(5,417) 

(85,406) 

(11,114) 

  1,514,029 

  330,589 

  1,721,725 

  564,657 

  1,405,521 

  325,172 

  1,636,319 

  553,543 

(41,612) 

— 

(41,612) 

— 

$ 1,363,909  $  325,172  $ 1,594,707  $  553,543 

ARCH CAPITAL

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Table of Contents

CONTRACTUAL OBLIGATIONS AND COMMITMENTS

This section does not include information specific to Watford. We do not guarantee or provide credit support for Watford, and 
our  financial  exposure  to  Watford  is  limited  to  our  investment  in  Watford’s  senior  notes,  common  and  preferred  shares  and 
counterparty credit risk (mitigated by collateral) arising from reinsurance transactions with Watford.

Contractual Obligations

The following table provides an analysis of our contractual commitments at December 31, 2020:

Payment due by period

Total

2021

2022 and 
2023

2024 and 
2025

Thereafter

Operating activities
Estimated gross payments for losses and loss adjustment expenses (1)
Deposit accounting liabilities (2)
Contractholder payables (3)
Operating lease obligations
Purchase obligations
Investing activities
Unfunded investment commitments (4)
Financing activities
Securities lending payable (5)
Senior notes (including interest payments)
Financing lease obligations

Total contractual obligations and commitments

$ 14,994,345  $  4,068,858  $  4,785,334  $  2,322,283  $  3,817,870 
3,679 
397,339 
31,318 
852 

10,570 
1,995,562 
152,309 
72,995 

5,390 
634,430 
32,309 
33,437 

385 
277,803 
32,497 
8,204 

1,116 
685,990 
56,185 
30,502 

2,146,521 

2,146,521 

— 

— 

— 

301,089 
5,417,148 
2,016 

— 
4,783,075 
— 
$ 25,092,555  $  7,350,865  $  5,812,756  $  2,894,801  $  9,034,133 

— 
253,629 
— 

— 
253,629 
— 

301,089 
126,815 
2,016 

(1) The estimated expected contractual commitments related to the reserves for losses and loss adjustment expenses are presented on a gross basis (i.e., not 
reflecting any corresponding reinsurance recoverable amounts that would be due to us). It should be noted that until a claim has been presented to us, 
determined to be valid, quantified and settled, there is no known obligation on an individual transaction basis, and while estimable in the aggregate, the 
timing and amount contain significant uncertainty.

(2) The  estimated  expected  contractual  commitments  related  to  deposit  accounting  liabilities  have  been  estimated  using  projected  cash  flows  from  the 

underlying contracts. It should be noted that, due to the nature of such liabilities, the timing and amount contain significant uncertainty.

(3) Certain insurance policies written by our insurance operations feature large deductibles, primarily in construction and national accounts lines. Under such 
contracts, we are obligated to pay the claimant for the full amount of the claim and are subsequently reimbursed by the policyholder for the deductible 
amount. In the event we are unable to collect from the policyholder, we would be liable for such defaulted amounts.

(4) Unfunded investment commitments are callable by our investment managers. We have assumed that such investments will be funded in the next year but 

the funding may occur over a longer period of time, due to market conditions and other factors.

(5) As part of our securities lending program, we loan securities to third parties and receive collateral in the form of cash or securities. Such collateral is due 

back to the third parties at the close of the securities lending transactions, a majority of which is overnight and continuous by nature.

Letter of Credit and Revolving Credit Facilities

In  the  normal  course  of  its  operations,  the  Company  enters 
into  agreements  with  financial  institutions  to  obtain  secured 
and unsecured credit facilities.

On  December  17,  2019  Arch  Capital  and  certain  of  its 
subsidiaries  entered  into  an  $750.0  million  five-year  credit 
facility  (the  “Credit  Facility”)  with  a  syndication  of  lenders. 
The  Credit  Facility  consists  of  a  $250.0  million  secured 
facility  for  letters  of  credit  (the  “Secured  Facility”)  and  a 
$500.0  million  unsecured  facility  for  revolving  loans  and 
letters  of  credit  (the  “Unsecured  Facility”).  Obligations  of 
each borrower under the Secured Facility for letters of credit 
are  secured  by  cash  and  eligible  securities  of  such  borrower 
held  in  collateral  accounts.  Commitments  under  the  Credit 
Facility  may  be  increased  up  to,  but  not  exceeding,  an 
aggregate of $1.3 billion. Arch Capital has a one-time option 

to  convert  any  or  all  outstanding  revolving  loans  of  Arch 
Capital  and/or  Arch-U.S.  to  term  loans  with  the  same  terms 
as the revolving loans except that any prepayments may not 
be  re-borrowed.  Arch-U.S.  guarantees  the  obligations  of 
Arch Capital, and Arch Capital guarantees the obligations of 
Arch-U.S.  Borrowings  of  revolving  loans  may  be  made  at  a 
variable  rate  based  on  LIBOR  or  an  alternative  base  rate  at 
the option of Arch Capital. Arch Capital and its lenders may 
agree  on  a  LIBOR  successor  rate  at  the  appropriate  time  to 
address  the  replacement  of  LIBOR.  Secured  letters  of  credit 
are available for issuance on behalf of Arch Capital insurance 
and reinsurance subsidiaries. The Credit Facility is structured 
such  that  each  party  that  requests  a  letter  of  credit  or 
borrowing  does  so  only  for  itself  and  for  only  its  own 
obligations.

The  Credit  Facility  contains  certain  restrictive  covenants 
customary for facilities of this type, including restrictions on 

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Table of Contents

indebtedness,  consolidated  tangible  net  worth,  minimum 
shareholders’  equity  levels  and  minimum  financial  strength 
ratings.  Arch  Capital  and  its  subsidiaries  which  are  party  to 
the  agreement  were  in  compliance  with  all  covenants 
contained therein at December 31, 2020.

See  note  19,  “Debt  and  Financing  Arrangements,”  to  our 
consolidated  financial  statements  in  Item  8  for  additional 
disclosures concerning our senior notes and revolving credit 
agreement borrowings.

The  ratings  issued  on  our  companies  by  these  agencies  are 
announced  publicly  and  are  available  directly  from  the 
agencies.  Our  Internet  site  (www.archcapgroup.com,  under 
Credit  Ratings)  contains  information  about  our  ratings,  but 
such  information  on  our  website  is  not  incorporated  by 
reference into this report. 

CATASTROPHIC EVENTS AND SEVERE 
ECONOMIC EVENTS 

RATINGS

statistical 

recognized 

internationally 

Our  ability  to  underwrite  business  is  affected  by  the  quality 
of our claims paying ability and financial strength ratings as 
evaluated  by  independent  agencies.  Such  ratings  from  third 
party 
rating 
organizations or agencies are instrumental in establishing the 
financial  security  of  companies  in  our  industry.  We  believe 
that the primary users of such ratings include commercial and 
investment  banks,  policyholders,  brokers,  ceding  companies 
and  investors.  Insurance  ratings  are  also  used  by  insurance 
and  reinsurance  intermediaries  as  an  important  means  of 
assessing  the  financial  strength  and  quality  of  insurers  and 
reinsurers,  and  are  often  an  important  factor  in  the  decision 
by  an  insured  or  intermediary  of  whether  to  place  business 
reinsurance  provider. 
with  a  particular 
Periodically,  rating  agencies  evaluate  us  to  confirm  that  we 
continue  to  meet  their  criteria  for  the  ratings  assigned  to  us 
by  them.  S&P,  Moody’s,  A.M.  Best  Company  and  Fitch 
Ratings  are  ratings  agencies  which  have  assigned  financial 
strength ratings to one or more of Arch Capital’s subsidiaries. 

insurance  or 

If  we  are  not  able  to  obtain  adequate  capital,  our  business, 
results  of  operations  and  financial  condition  could  be 
adversely affected, which could include, among other things, 
the following possible outcomes: (1) potential downgrades in 
the financial strength ratings assigned by ratings agencies to 
our operating subsidiaries, which could place those operating 
subsidiaries  at  a  competitive  disadvantage  compared  to 
higher-rated  competitors;  (2)  reductions  in  the  amount  of 
business  that  our  operating  subsidiaries  are  able  to  write  in 
order  to  meet  capital  adequacy-based  tests  enforced  by 
statutory  agencies;  and  (3)  any  resultant  ratings  downgrades 
could, among other things, affect our ability to write business 
and  increase  the  cost  of  bank  credit  and  letters  of  credit.  In 
addition,  under  certain  of 
the  reinsurance  agreements 
assumed by our reinsurance operations, upon the occurrence 
of  a  ratings  downgrade  or  other  specified  triggering  event 
with  respect  to  our  reinsurance  operations,  such  as  a 
reduction  in  surplus  by  specified  amounts  during  specified 
periods,  our  ceding  company  clients  may  be  provided  with 
certain  rights,  including,  among  other  things,  the  right  to 
terminate the subject reinsurance agreement and/or to require 
that our reinsurance operations post additional collateral.

We have large aggregate exposures to natural and man-made 
catastrophic  events,  pandemic  events  like  COVID-19  and 
severe  economic  events.  Natural  catastrophes  can  be  caused 
by  various  events,  including  hurricanes,  floods,  windstorms, 
earthquakes, hailstorms, tornadoes, explosions, severe winter 
weather, 
fires,  droughts  and  other  natural  disasters. 
Catastrophes  can  also  cause  losses  in  non-property  business 
such  as  mortgage  insurance,  workers’  compensation  or 
general  liability.  In  addition  to  the  nature  of  property 
business,  we  believe  that  economic  and  geographic  trends 
affecting insured property, including inflation, property value 
appreciation and geographic concentration, tend to generally 
increase the size of losses from catastrophic events over time.

to 

exposure 

completely 

eliminate  our 

We  have  substantial  exposure  to  unexpected,  large  losses 
resulting from future man-made catastrophic events, such as 
acts  of  war,  acts  of  terrorism  and  political  instability.  These 
risks are inherently unpredictable. It is difficult to predict the 
timing of such events with statistical certainty or estimate the 
amount  of  loss  any  given  occurrence  will  generate.  It  is  not 
to 
possible 
unforecasted  or  unpredictable  events  and,  to  the  extent  that 
losses  from  such  risks  occur,  our  financial  condition  and 
results  of  operations  could  be  materially  adversely  affected. 
Therefore,  claims  for  natural  and  man-made  catastrophic 
events  could  expose  us  to  large  losses  and  cause  substantial 
volatility in our results of operations, which could cause the 
value  of  our  common  shares  to  fluctuate  widely.  In  certain 
instances,  we  specifically  insure  and  reinsure  risks  resulting 
from  terrorism.  Even  in  cases  where  we  attempt  to  exclude 
losses  from  terrorism  and  certain  other  similar  risks  from 
some  coverages  written  by  us,  we  may  not  be  successful  in 
the  clarity  and 
doing  so.  Moreover, 
inclusiveness  of  policy  language,  there  can  be  no  assurance 
that  a  court  or  arbitration  panel  will  limit  enforceability  of 
policy language or otherwise issue a ruling adverse to us.

irrespective  of 

We  seek  to  limit  our  loss  exposure  by  writing  a  number  of 
our reinsurance contracts on an excess of loss basis, adhering 
to  maximum  limitations  on  reinsurance  written  in  defined 
geographical zones, limiting program size for each client and 
prudent underwriting of each program written. In the case of 
proportional treaties, we may seek per occurrence limitations 
or loss ratio caps to limit the impact of losses from any one or 
series of events. In our insurance operations, we seek to limit 

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our exposure through the purchase of reinsurance. We cannot 
be  certain  that  any  of  these  loss  limitation  methods  will  be 
effective.  We  also  seek  to  limit  our  loss  exposure  by 
geographic  diversification.  Geographic  zone 
limitations 
involve  significant  underwriting  judgments,  including  the 
determination of the area of the zones and the inclusion of a 
particular  policy  within  a  particular  zone's  limits.  There  can 
be no assurance that various provisions of our policies, such 
as  limitations  or  exclusions  from  coverage  or  choice  of 
forum, will be enforceable in the manner we intend. Disputes 
relating to coverage and choice of legal forum may also arise. 
Underwriting  is  inherently  a  matter  of  judgment,  involving 
important  assumptions  about  matters  that  are  inherently 
unpredictable  and  beyond  our  control,  and  for  which 
historical  experience  and  probability  analysis  may  not 
provide  sufficient  guidance.  One  or  more  catastrophic  or 
other  events  could  result  in  claims  that  substantially  exceed 
our expectations, which could have a material adverse effect 
on  our  financial  condition  or  our  results  of  operations, 
possibly to the extent of eliminating our shareholders' equity.

For  our  natural  catastrophe  exposed  business,  we  seek  to 
limit  the  amount  of  exposure  we  will  assume  from  any  one 
insured  or  reinsured  and  the  amount  of  the  exposure  to 
catastrophe  losses  from  a  single  event  in  any  geographic 
zone.  We  monitor  our  exposure  to  catastrophic  events, 
including  earthquake  and  wind  and  periodically  reevaluate 
the  estimated  probable  maximum  pre-tax  loss  for  such 
exposures.  Our  estimated  probable  maximum  pre-tax  loss  is 
determined through the use of modeling techniques, but such 
estimate  does  not  represent  our  total  potential  loss  for  such 
exposures. 

Our  models  employ  both  proprietary  and  vendor-based 
systems  and  include  cross-line  correlations  for  property, 
marine, offshore energy, aviation, workers compensation and 
personal  accident.  We  seek  to  limit  the  probable  maximum 
pre-tax loss to a specific level for severe catastrophic events. 
Currently,  we  seek  to  limit  our  1-in-250  year  return  period 
net probable maximum loss from a severe catastrophic event 
in  any  geographic  zone  to  approximately  25%  of  tangible 
shareholders’  equity  available  to  Arch  (total  shareholders’ 
equity available to Arch less goodwill and intangible assets). 
We reserve the right to change this threshold at any time.

Based on in-force exposure estimated as of January 1, 2021, 
our modeled peak zone catastrophe exposure is a windstorm 
affecting  the  Florida  Tri-County,  with  a  net  probable 
maximum  pre-tax 
loss  of  $860  million,  followed  by 
windstorms  affecting  Northeastern  U.S.  and  the  Gulf  of 
Mexico  with  net  probable  maximum  pre-tax  losses  of  $775 
million  and  $689  million,  respectively.  Our  exposures  to 
other perils, such as U.S. earthquake and international events, 
were  less  than  the  exposures  arising  from  U.S.  windstorms 
and  hurricanes  in  both  periods.  As  of  January  1,  2021,  our 
modeled peak zone earthquake exposure (San Francisco area 

earthquake) represented approximately 65% of our peak zone 
catastrophe  exposure,  and  our  modeled  peak  zone 
international  exposure  (U.K.  windstorm)  was  substantially 
less  than  both  our  peak  zone  windstorm  and  earthquake 
exposures.

We also have significant exposure to losses due to mortgage 
defaults resulting from severe economic events in the future. 
For  our  U.S.  mortgage 
insurance  business,  we  have 
developed  a  proprietary  risk  model  (“Realistic  Disaster 
Scenario”  or  “RDS”)  that  simulates  the  maximum  loss 
resulting  from  a  severe  economic  downturn  impacting  the 
housing  market.  The  RDS  models  the  collective  impact  of 
adverse  conditions  for  key  economic  indicators,  the  most 
significant  of  which  is  a  decline  in  home  prices.  The  RDS 
model  projects  paths  of  future  home  prices,  unemployment 
rates, 
interest  rates  and  assumes 
correlation  across  states  and  geographic  regions.  The 
resulting future performance of our in-force portfolio is then 
estimated under the economic stress scenario, reflecting loan 
and borrower information. 

levels  and 

income 

Currently,  we  seek  to  limit  our  modeled  RDS  loss  from  a 
severe  economic  event  to  approximately  25%  of  total 
tangible  shareholders’  equity  available  to  Arch.  We  reserve 
the  right  to  change  this  threshold  at  any  time.  Based  on  in-
force exposure estimated as of January 1, 2021, our modeled 
RDS  loss  was  6%  of  tangible  shareholders’  equity  available 
to Arch.

Net  probable  maximum  loss  estimates  are  net  of  expected 
reinsurance  recoveries,  before  income  tax  and  before  excess 
reinsurance reinstatement premiums. RDS loss estimates are 
net of expected reinsurance recoveries and before income tax. 
Catastrophe loss estimates are reflective of the zone indicated 
and not the entire portfolio. Since hurricanes and windstorms 
can  affect  more  than  one  zone  and  make  multiple  landfalls, 
our  catastrophe  loss  estimates  include  clash  estimates  from 
other  zones.  Our  catastrophe  loss  estimates  and  RDS  loss 
estimates do not represent our maximum exposures and it is 
highly  likely  that  our  actual  incurred  losses  would  vary 
materially  from  the  modeled  estimates.  There  can  be  no 
assurances that we will not suffer pre-tax losses greater than 
25%  of  our  tangible  shareholders’  equity  from  one  or  more 
catastrophic events or severe economic events due to several 
factors, including the inherent uncertainties in estimating the 
frequency and severity of such events and the margin of error 
in  making  such  determinations  resulting  from  potential 
inaccuracies and inadequacies in the data provided by clients 
and  brokers,  the  modeling  techniques  and  the  application  of 
such  techniques  or  as  a  result  of  a  decision  to  change  the 
percentage  of  shareholders'  equity  exposed  to  a  single 
catastrophic  event  or  severe  economic  event.  In  addition, 
actual losses may increase if our reinsurers fail to meet their 
obligations to us or the reinsurance protections purchased by 
us  are  exhausted  or  are  otherwise  unavailable.  See  “Risk 

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Factors—Risks  Relating  to  Our  Industry,  Business  and 
Operations”  Depending  on  business  opportunities  and  the 
mix of business that may comprise our insurance, reinsurance 
and  mortgage  portfolios,  we  may  seek  to  adjust  our  self-
imposed  limitations  on  probable  maximum  pre-tax  loss  for 
catastrophe  exposed  business  and  mortgage  default  exposed 
business. See “—Critical Accounting Policies, Estimates and 
Recent  Accounting  Pronouncements—Ceded  Reinsurance” 
for a discussion of our catastrophe reinsurance programs.

OFF-BALANCE SHEET ARRANGEMENTS

interest  entities 

We  have  entered  into  various  aggregate  excess  of  loss 
reinsurance  agreements  with  various  special  purpose 
reinsurance  companies  domiciled  in  Bermuda.  These  are 
special  purpose  variable 
that  are  not 
consolidated in our financial results because we do not have 
the  unilateral  power  to  direct  those  activities  that  are 
significant to its economic performance. As of December 31, 
2020, our estimated off-balance sheet maximum exposure to 
loss  from  such  entities  was  $56.3  million.  See  note  12, 
“Variable  Interest  Entity  and  Noncontrolling  Interests,”  to 
our consolidated financial statements in Item 8 for additional 
information.

MARKET SENSITIVE INSTRUMENTS AND RISK 
MANAGEMENT

Our  investment  results  are  subject  to  a  variety  of  risks, 
including  risks  related  to  changes  in  the  business,  financial 
condition or results of operations of the entities in which we 
invest, as well as changes in general economic conditions and 
overall  market  conditions.  We  are  also  exposed  to  potential 
loss  from  various  market  risks,  including  changes  in  equity 
prices, interest rates and foreign currency exchange rates.

In  accordance  with  the  SEC’s  Financial  Reporting  Release 
No. 48, we performed a sensitivity analysis to determine the 
effects  that  market  risk  exposures  could  have  on  the  future 
earnings,  fair  values  or  cash  flows  of  our  financial 
instruments as of December 31, 2020. Market risk represents 
the risk of changes in the fair value of a financial instrument 
and consists of several components, including liquidity, basis 
and price risks. 

The sensitivity analysis performed as of December 31, 2020 
presents  hypothetical  losses  in  cash  flows,  earnings  and  fair 
values of market sensitive instruments which were held by us 
on December 31, 2020 and are sensitive to changes in interest 
rates  and  equity  security  prices.  This  risk  management 
discussion  and  the  estimated  amounts  generated  from  the 
following  sensitivity  analysis  represent  forward-looking 
statements  of  market  risk  assuming  certain  adverse  market 
conditions  occur.  Actual  results  in  the  future  may  differ 
to  actual 
materially  from 

these  projected  results  due 

developments  in  the  global  financial  markets.  The  analysis 
methods used by us to assess and mitigate risk should not be 
considered projections of future events of losses.

We  have  not  included  Watford  in  the  following  analyses  as 
we  do  not  guarantee  or  provide  credit  support  for  Watford, 
and  our  financial  exposure  to  Watford  is  limited  to  our 
investment in Watford’s senior notes, common and preferred 
shares  and  counterparty  credit  risk  (mitigated  by  collateral) 
arising from the reinsurance transactions.

The focus of the SEC’s market risk rules is on price risk. For 
purposes  of  specific  risk  analysis,  we  employ  sensitivity 
analysis  to  determine  the  effects  that  market  risk  exposures 
could have on the future earnings, fair values or cash flows of 
our financial instruments. The financial instruments included 
in  the  following  sensitivity  analysis  consist  of  all  of  our 
investments and cash.

Investment Market Risk

investment 

Fixed  Income  Securities.  We  invest  in  interest  rate  sensitive 
securities, primarily debt securities. We consider the effect of 
interest  rate  movements  on  the  fair  value  of  our  fixed 
maturities,  fixed  maturities  pledged  under  securities  lending 
agreements,  short-term  investments  and  certain  of  our  other 
investments,  equity 
funds 
securities  and 
accounted for using the equity method which invest in fixed 
income  securities  (collectively,  “Fixed  Income  Securities”) 
and the corresponding change in unrealized appreciation. As 
interest  rates  rise,  the  fair  value  of  our  Fixed  Income 
Securities  falls,  and  the  converse  is  also  true.  Based  on 
historical  observations,  there  is  a  low  probability  that  all 
interest rate yield curves would shift in the same direction at 
the same time. Furthermore, at times interest rate movements 
in  certain  credit  sectors  exhibit  a  much  lower  correlation  to 
changes  in  U.S.  Treasury  yields.  Accordingly,  the  actual 
effect of interest rate movements may differ materially from 
the amounts set forth in the following tables. 

The following table summarizes the effect that an immediate, 
parallel shift in the interest rate yield curve would have had 
on our investment portfolio at December 31, 2020 and 2019:

(U.S. dollars in 
billions)

Dec. 31, 2020

Interest Rate Shift in Basis Points

-100

-50

-

+50

+100

Total fair value

$ 25.82 

$ 25.44 

$  25.07 

$ 24.69 

$ 24.31 

Change from base

 3.0 %

 1.5 %

 (1.5) %

 (3.0) %

Change in 
unrealized value

Dec. 31, 2019

$  0.75 

$  0.38 

$ (0.38) 

$ (0.75) 

Total fair value

$ 21.54 

$ 21.19 

$  20.83 

$ 20.48 

$ 20.13 

Change from base

 3.4 %

 1.7 %

 (1.7) %

 (3.4) %

Change in 
unrealized value

$  0.71 

$  0.35 

$ (0.35) 

$ (0.71) 

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In  addition,  we  consider 
the  effect  of  credit  spread 
movements  on  the  market  value  of  our  Fixed  Income 
Securities and the corresponding change in unrealized value. 
As credit spreads widen, the fair value of our Fixed Income 
Securities  falls,  and  the  converse  is  also  true.  In  periods 
where the spreads on our Fixed Income Securities are much 
higher than their historical average due to short-term market 
dislocations,  a  parallel  shift  in  credit  spread  levels  would 
result  in  a  much  more  pronounced  change  in  unrealized 
value. 

The following table summarizes the effect that an immediate, 
parallel  shift  in  credit  spreads  in  a  static  interest  rate 
environment  would  have  had  on 
the  portfolio  at 
December 31, 2020 and 2019:

(U.S. dollars in 
billions)

Dec. 31, 2020

Credit Spread Shift in Percentage

-100

-50

-

+50

+100

Total fair value

$ 25.54 

$ 25.32 

$  25.07 

$ 24.82 

$ 24.59 

Change from base

 1.9 %

 1.0 %

 (1.0) %

 (1.9) %

Change in 
unrealized value

Dec. 31, 2019

$  0.48 

$  0.25 

$ (0.25) 

$ (0.48) 

Total fair value

$ 21.19 

$ 21.02 

$  20.83 

$ 20.65 

$ 20.48 

Change from base

 1.7 %

 0.9 %

 (0.9) %

 (1.7) %

Change in 
unrealized value

$  0.35 

$  0.19 

$ (0.19) 

$ (0.35) 

Another  method  that  attempts  to  measure  portfolio  risk  is 
Value-at-Risk  (“VaR”).  VaR  measures  the  worst  expected 
loss  under  normal  market  conditions  over  a  specific  time 
interval  at  a  given  confidence  level.  The  1-year  95th 
percentile parametric VaR reported herein estimates that 95% 
of the time, the portfolio loss in a one-year horizon would be 
less  than  or  equal  to  the  calculated  number,  stated  as  a 
percentage of the measured portfolio’s initial value. The VaR 
is  a  variance-covariance  based  estimate,  based  on  linear 
sensitivities of a portfolio to a broad set of systematic market 
risk  factors  and  idiosyncratic  risk  factors  mapped  to  the 
portfolio  exposures.  The  relationships  between  the  risk 
factors  are  estimated  using  historical  data,  and  the  most 
recent  data  points  are  generally  given  more  weight.  As  of 
December 31, 2020, our portfolio’s VaR was estimated to be 
4.30%,  compared  to  an  estimated  3.19%  at  December  31, 
2019.

Equity  Securities.  At  December  31,  2020  and  2019,  the  fair 
value  of  our  investments  in  equity  securities  (excluding 
securities included in Fixed Income Securities above) totaled 
$1.1  billion  and  $820.6  million, 
respectively.  These 
investments are exposed to price risk, which is the potential 
loss  arising  from  decreases  in  fair  value.  An  immediate 
hypothetical 10% decline in the value of each position would 
reduce  the  fair  value  of  such  investments  by  approximately 
$109.5 million and $82.1 million at December 31, 2020 and 

2019, respectively, and would have decreased book value per 
share  by  approximately  $0.27  and  $0.20,  respectively.  An 
immediate  hypothetical  10%  increase  in  the  value  of  each 
position would increase the fair value of such investments by 
approximately  $109.5  million  and  $82.1  million  at 
December 31, 2020 and 2019, respectively, and would have 
increased  book  value  per  share  by  approximately  $0.27  and 
$0.20, respectively.

Investment-Related  Derivatives.  At  December  31,  2020,  the 
notional value of all derivative instruments (excluding to-be-
announced mortgage backed securities which are included in 
the  fixed  income  securities  analysis  above  and  foreign 
currency forward contracts which are included in the foreign 
currency  exchange  risk  analysis  below)  was  $8.6  billion, 
compared  to  $8.0  billion  at  December  31,  2019.  If  the 
underlying  exposure  of  each  investment-related  derivative 
held at December 31, 2020 depreciated by 100 basis points, it 
would  have  resulted  in  a  reduction  in  net  income  of 
approximately  $85.7  million,  and  a  decrease  in  book  value 
per  share  of  $0.21,  compared  to  $80.4  million  and  $0.20, 
respectively,  on 
investment-related  derivatives  held  at 
December  31,  2019.  If  the  underlying  exposure  of  each 
investment-related  derivative  held  at  December  31,  2020 
appreciated by 100 basis points, it would have resulted in an 
increase  in  net  income  of  approximately  $85.7  million,  and 
an  increase  in  book  value  per  share  of  $0.21,  compared  to 
$80.4  million  and  $0.20,  respectively,  on  investment-related 
derivatives  held  at  December  31,  2019.  See  note  11, 
“Derivative  Instruments,”  to  our  consolidated  financial 
statements  in  Item  8  for  additional  disclosures  concerning 
derivatives.

For further discussion on investment activity, please refer to 
“—Financial  Condition,  Liquidity  and  Capital  Resources—
Financial Condition—Investable Assets.”

Foreign Currency Exchange Risk

Foreign  currency  rate  risk  is  the  potential  change  in  value, 
income  and  cash  flow  arising  from  adverse  changes  in 
foreign  currency  exchange  rates.  Through  our  subsidiaries 
and branches located in various foreign countries, we conduct 
our insurance and reinsurance operations in a variety of local 
currencies  other  than  the  U.S.  Dollar.  We  generally  hold 
investments  in  foreign  currencies  which  are  intended  to 
mitigate our exposure to foreign currency fluctuations in our 
net insurance liabilities. We may also utilize foreign currency 
forward  contracts  and  currency  options  as  part  of  our 
investment  strategy.  See  note  11,  “Derivative  Instruments,” 
to  our  consolidated  financial  statements  in  Item  8  for 
additional information.

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The  following  table  provides  a  summary  of  our  net  foreign 
currency  exchange  exposures,  as  well  as  foreign  currency 
derivatives in place to manage these exposures:

(U.S. dollars in thousands, except 
per share data)

December 31,
2020

December 31,
2019

Net assets (liabilities), denominated in 
foreign currencies, excluding 
shareholders’ equity and derivatives

Shareholders’ equity denominated in 
foreign currencies (1)

Net foreign currency forward contracts 
outstanding (2)

$ 

(309,968)  $ 

265,501 

695,355 

744,690 

1,108,161 

81,731 

Net exposures denominated in foreign 
currencies

$  1,493,548  $  1,091,922 

Pre-tax impact of a hypothetical 10% 
appreciation of the U.S. Dollar against 
foreign currencies:

Shareholders’ equity
Book value per share

$ 
$ 

(149,355)  $ 
(0.37)  $ 

(109,192) 
(0.27) 

Pre-tax impact of a hypothetical 10% 
decline of the U.S. Dollar against foreign 
currencies:

Shareholders’ equity
Book value per share

$ 
$ 

149,355  $ 
0.37  $ 

109,192 
0.27 

(1) 

(2) 

Represents capital contributions held in the foreign currencies of our 
operating units.
Represents  the  net  notional  value  of  outstanding  foreign  currency 
forward contracts.

the  Company’s  exposure 

Although  the  Company  generally  attempts  to  match  the 
currency  of  its  projected  liabilities  with  investments  in  the 
same currencies, from time to time the Company may elect to 
over  or  underweight  one  or  more  currencies,  which  could 
increase 
to  foreign  currency 
fluctuations  and  increase  the  volatility  of  the  Company’s 
shareholders’  equity.  Historical  observations  indicate  a  low 
probability  that  all  foreign  currency  exchange  rates  would 
shift against the U.S. Dollar in the same direction and at the 
same  time  and,  accordingly,  the  actual  effect  of  foreign 
currency  rate  movements  may  differ  materially  from  the 
amounts  set  forth  above.  For  further  discussion  on  foreign 
exchange activity, please refer to “—Results of Operations.”

Effects of Inflation

We do not believe that inflation has had a material effect on 
our  consolidated  results  of  operations,  except  insofar  as 
inflation  may  affect  our  reserves  for  losses  and  loss 
adjustment  expenses  and  interest  rates.  The  potential  exists, 
after  a  catastrophe  loss,  for  the  development  of  inflationary 
pressures  in  a  local  economy.  The  anticipated  effects  of 
inflation on us are considered in our catastrophe loss models. 
The  actual  effects  of  inflation  on  our  results  cannot  be 
accurately known until claims are ultimately settled.

ITEM 7A.  

QUANTITATIVE AND QUALITATIVE DISCLOSURES ABOUT MARKET RISK

Reference  is  made  to  the  information  appearing  above  under  the  subheading  “Market  Sensitive  Instruments  and  Risk 
Management”  under  the  caption  “Management’s  Discussion  and  Analysis  of  Financial  Condition  and  Results  of  Operation,” 
which information is hereby incorporated by reference.

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ITEM 8.  

FINANCIAL STATEMENTS AND SUPPLEMENTARY DATA

Index to Financial Statements

Page No.

Report of Independent Registered Public Accounting Firm

Consolidated Balance Sheets

At December 31, 2020 and December 31, 2019

Consolidated Statements of Income

For the years ended December 31, 2020, 2019 and 2018

Consolidated Statements of Comprehensive Income

For the years ended December 31, 2020, 2019 and 2018

Consolidated Statements of Changes in Shareholders’ Equity
For the years ended December 31, 2020, 2019 and 2018

Consolidated Statements of Cash Flows

For the years ended December 31, 2020, 2019 and 2018

Notes to Consolidated Financial Statements

Note 1 - General
Note 2 - Businesses Acquired
Note 3 - Significant Accounting Policies
Note 4 - Segment Information
Note 5 - Reserve for Losses and Loss Adjustment Expenses
Note 6 - Short Duration Contracts
Note 7 - Allowance for Expected Credit Losses
Note 8 - Reinsurance
Note 9 - Investment Information
Note 10 - Fair Value
Note 11 - Derivative Instruments
Note 12 - VIE and Noncontrolling Interests
Note 13 - Other Comprehensive Income (Loss)
Note 14 - Earnings Per Common Share
Note 15 - Income Taxes
Note 16 - Transactions with Related Parties
Note 17 - Leases
Note 18 - Commitments and Contingencies
Note 19 - Debt and Financing Arrangements
Note 20 - Goodwill and Intangible Assets
Note 21 - Shareholders’ Equity
Note 22 - Share-Based Compensation
Note 23 - Retirement Plans
Note 24 - Legal Proceedings
Note 25 - Statutory Information
Note 26 - Unaudited Condensed Quarterly Financial Information
Note 27 - Subsequent Event

84

86

87

88

89

90

91
91
91
100
107
109
123
123
125
130
137
138
141
143
143
146
147
147
148
150
151
153
155
156
156
159
159

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Report of Independent Registered Public Accounting Firm 

To the Board of Directors and Shareholders of Arch Capital Group Ltd. 

Opinions on the Financial Statements and Internal Control over Financial Reporting

We have audited the accompanying consolidated balance sheets of Arch Capital Group Ltd. and its subsidiaries (the 
“Company”) as of December 31, 2020 and 2019, and the related consolidated statements of income, of comprehensive income, 
of changes in shareholders’ equity, and of cash flows for each of the three years in the period ended December 31, 2020, 
including the related notes and financial statement schedules listed in the index appearing under Item 15(a)(2) (collectively 
referred to as the “consolidated financial statements”). We also have audited the Company's internal control over financial 
reporting as of December 31, 2020, based on criteria established in Internal Control - Integrated Framework (2013) issued by 
the Committee of Sponsoring Organizations of the Treadway Commission (COSO).

In our opinion, the consolidated financial statements referred to above present fairly, in all material respects, the financial 
position of the Company as of December 31, 2020 and 2019, and the results of its operations and its cash flows for each of the 
three years in the period ended December 31, 2020, in conformity with accounting principles generally accepted in the United 
States of America. Also in our opinion, the Company maintained, in all material respects, effective internal control over 
financial reporting as of December 31, 2020, based on criteria established in Internal Control - Integrated Framework (2013) 
issued by the COSO.

Basis for Opinions

The Company's management is responsible for these consolidated financial statements, for maintaining effective internal 
control over financial reporting, and for its assessment of the effectiveness of internal control over financial reporting, included 
in Management's Annual Report on Internal Control Over Financial Reporting appearing under Item 9A. Our responsibility is to 
express opinions on the Company’s consolidated financial statements and on the Company's internal control over financial 
reporting based on our audits. We are a public accounting firm registered with the Public Company Accounting Oversight 
Board (United States) (PCAOB) and are required to be independent with respect to the Company in accordance with the U.S. 
federal securities laws and the applicable rules and regulations of the Securities and Exchange Commission and the PCAOB.

We conducted our audits in accordance with the standards of the PCAOB. Those standards require that we plan and perform the 
audits to obtain reasonable assurance about whether the consolidated financial statements are free of material misstatement, 
whether due to error or fraud, and whether effective internal control over financial reporting was maintained in all material 
respects.

Our audits of the consolidated financial statements included performing procedures to assess the risks of material misstatement 
of the consolidated financial statements, whether due to error or fraud, and performing procedures that respond to those risks. 
Such procedures included examining, on a test basis, evidence regarding the amounts and disclosures in the consolidated 
financial statements. Our audits also included evaluating the accounting principles used and significant estimates made by 
management, as well as evaluating the overall presentation of the consolidated financial statements. Our audit of internal 
control over financial reporting included obtaining an understanding of internal control over financial reporting, assessing the 
risk that a material weakness exists, and testing and evaluating the design and operating effectiveness of internal control based 
on the assessed risk. Our audits also included performing such other procedures as we considered necessary in the 
circumstances. We believe that our audits provide a reasonable basis for our opinions.

Definition and Limitations of Internal Control over Financial Reporting

A company’s internal control over financial reporting is a process designed to provide reasonable assurance regarding the 
reliability of financial reporting and the preparation of financial statements for external purposes in accordance with generally 
accepted accounting principles. A company’s internal control over financial reporting includes those policies and procedures 
that (i) pertain to the maintenance of records that, in reasonable detail, accurately and fairly reflect the transactions and 
dispositions of the assets of the company; (ii) provide reasonable assurance that transactions are recorded as necessary to permit 
preparation of financial statements in accordance with generally accepted accounting principles, and that receipts and 
expenditures of the company are being made only in accordance with authorizations of management and directors of the 
company; and (iii) provide reasonable assurance regarding prevention or timely detection of unauthorized acquisition, use, or 
disposition of the company’s assets that could have a material effect on the financial statements.

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Because of its inherent limitations, internal control over financial reporting may not prevent or detect misstatements. Also, 
projections of any evaluation of effectiveness to future periods are subject to the risk that controls may become inadequate 
because of changes in conditions, or that the degree of compliance with the policies or procedures may deteriorate.

Critical Audit Matters

The critical audit matter communicated below is a matter arising from the current period audit of the consolidated financial 
statements that was communicated or required to be communicated to the audit committee and that (i) relates to accounts or 
disclosures that are material to the consolidated financial statements and (ii) involved our especially challenging, subjective, or 
complex judgments. The communication of critical audit matters does not alter in any way our opinion on the consolidated 
financial statements, taken as a whole, and we are not, by communicating the critical audit matter below, providing a separate 
opinion on the critical audit matter or on the accounts or disclosures to which it relates. 

Valuation of Reserve for Losses and Loss Adjustment Expenses

As described in Notes 3, 5 and 6 to the consolidated financial statements, the reserve for losses and loss adjustment expenses 
represents estimates of future amounts required to pay losses and loss adjustment expenses for insured or reinsured events 
which have occurred at or before the balance sheet date. As of December 31, 2020, the Company’s total reserve for losses and 
loss adjustment expenses was $16.5 billion. For the insurance and reinsurance segments, management estimates ultimate losses 
and loss adjustment expenses using various generally accepted actuarial methods applied to known losses and other relevant 
information. Ultimate losses and loss adjustment expenses are generally determined by extrapolation of claim emergence and 
settlement patterns observed in the past that can reasonably be expected to persist into the future. Management makes a number 
of key assumptions in their reserving process, including estimating loss development patterns and expected loss ratios. For the 
mortgage segment, the lead actuarial methodology used by management is a frequency-severity method based on the inventory 
of pending delinquencies. The assumptions of frequency and severity reflect judgments based on historical data and experience. 

The principal considerations for our determination that performing procedures relating to the valuation of the reserve for losses 
and loss adjustment expenses is a critical audit matter are (i) the significant judgment by management when developing their 
estimate, which in turn led to a high degree of auditor subjectivity and judgment in performing procedures related to the 
valuation of the reserve for losses and loss adjustment expenses, (ii) the significant auditor effort and judgment in evaluating 
audit evidence related to the aforementioned key actuarial methods and key assumptions, and (iii) the audit effort included the 
involvement of professionals with specialized skill and knowledge to assist in performing these procedures and evaluating the 
audit evidence obtained.

Addressing the matter involved performing procedures and evaluating audit evidence in connection with forming our overall 
opinion on the consolidated financial statements. These procedures included testing the effectiveness of controls relating to the 
valuation of the reserve for losses and loss adjustment expenses, including controls over the selection of key actuarial methods 
and development of key assumptions. These procedures also included, among others, the involvement of professionals with 
specialized skill and knowledge to assist in performing one or a combination of procedures, including (i) developing an 
independent estimate, on a test basis, of the reserve for losses and loss adjustment expenses, and comparing the independent 
estimate to management’s actuarially determined reserve for losses and loss adjustment expenses to evaluate the reasonableness 
of the reserve for losses and loss adjustment expenses and (ii) evaluating the appropriateness of the actuarial methods and 
reasonableness of the assumptions, related to loss development patterns, expected loss ratios, frequency, and severity used by 
management to determine the Company’s reserve for losses and loss adjustment expenses. Developing the independent estimate 
and evaluating the appropriateness of the key methods and reasonableness of the key assumptions related to loss development 
patterns, expected loss ratios, frequency and severity, as applicable, involved testing the completeness and accuracy of 
historical data provided by management.

/s/ PricewaterhouseCoopers LLP
New York, New York 
February 26, 2021

We have served as the Company’s or its predecessor’s auditor since 1995. 

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Assets
Investments:

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED BALANCE SHEETS
(U.S. dollars in thousands, except share data)

December 31,

2020

2019

Fixed maturities available for sale, at fair value (amortized cost: $18,143,305 and $16,598,808; net of allowance for 
credit losses: $2,397 at December 31, 2020)

$ 

18,717,825  $ 

16,894,526 

Short-term investments available for sale, at fair value (amortized cost: $1,924,292 and $957,283; net of allowance 
for credit losses: $0 at December 31, 2020)
Collateral received under securities lending, at fair value (amortized cost: $301,089 and $388,366)
Equity securities, at fair value
Other investments (portion measured at fair value: $3,824,796 and $3,663,477)
Investments accounted for using the equity method

Total investments

Cash
Accrued investment income
Securities pledged under securities lending, at fair value (amortized cost: $294,493 and $378,738)

Premiums receivable (net of allowance for credit losses: $37,781 and $21,003)

Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses (net of allowance for credit losses: 
$11,636 and $1,364)

Contractholder receivables (net of allowance for credit losses: $8,638 and $0)
Ceded unearned premiums
Deferred acquisition costs
Receivable for securities sold
Goodwill and intangible assets
Other assets

Total assets

Liabilities
Reserve for losses and loss adjustment expenses
Unearned premiums
Reinsurance balances payable
Contractholder payables
Collateral held for insured obligations
Senior notes
Revolving credit agreement borrowings
Securities lending payable
Payable for securities purchased
Other liabilities

Total liabilities

Commitments and Contingencies
Redeemable noncontrolling interests

Shareholders’ Equity
Non-cumulative preferred shares
Common shares ($0.0011 par, shares issued: 579,000,841 and 574,617,195)
Additional paid-in capital
Retained earnings
Accumulated other comprehensive income (loss), net of deferred income tax
Common shares held in treasury, at cost (shares: 172,280,199 and 168,997,994)

Total shareholders' equity available to Arch

Non-redeemable noncontrolling interests

Total shareholders' equity
Total liabilities, noncontrolling interests and shareholders' equity

1,924,922 
301,096 
1,444,830 
4,324,796 
2,047,889 
28,761,358 

906,448 
103,299 
294,912 

956,546 
388,376 
838,925 
3,663,477 
1,660,396 
24,402,246 

726,230 
117,937 
379,868 

2,064,586 

1,778,717 

4,500,802 

4,346,816 

1,986,924 
1,234,075 
790,708 
92,743 
692,863 
1,853,579 
43,282,297  $ 

16,513,929  $ 
4,838,965 
683,263 
1,995,562 
215,581 
2,861,113 
155,687 
301,089 
218,779 
1,510,888 
29,294,856 

2,119,460 
1,234,683 
633,400 
24,133 
738,083 
1,383,788 
37,885,361 

13,891,842 
4,339,549 
667,072 
2,119,460 
206,698 
1,871,626 
484,287 
388,366 
87,579 
1,513,330 
25,569,809 

58,548 

55,404 

780,000 
643 
1,977,794 
12,362,463 
488,895 
(2,503,909) 
13,105,886 
823,007 
13,928,893 
43,282,297  $ 

780,000 
638 
1,889,683 
11,021,006 
212,091 
(2,406,047) 
11,497,371 
762,777 
12,260,148 
37,885,361 

$ 

$ 

$ 

See Notes to Consolidated Financial Statements

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF INCOME
(U.S. dollars in thousands, except share data)

Revenues
Net premiums earned
Net investment income
Net realized gains (losses)
Other underwriting income
Equity in net income of investments accounted for using the equity method
Other income (loss)
Total revenues

Expenses
Losses and loss adjustment expenses
Acquisition expenses
Other operating expenses
Corporate expenses
Amortization of intangible assets
Interest expense
Net foreign exchange losses (gains)
Total expenses

Income before income taxes

Income taxes:
Current tax expense (benefit) 
Deferred tax expense (benefit) 
Income tax expense

Net income
Net (income) loss attributable to noncontrolling interests
Net income available to Arch
Preferred dividends
Loss on redemption of preferred shares
Net income available to Arch common shareholders

Net income per common share and common share equivalent
Basic
Diluted

Year Ended December 31,

2020

2019

2018

$ 

6,991,935  $ 
519,608 
823,460 
26,784 
146,693 
16,795 
8,525,275 

5,786,498  $ 
627,738 
363,198 
24,861 
123,672 
2,233 
6,928,200 

4,689,599 
1,004,842 
875,176 
81,988 
69,031 
143,456 
83,634 
6,947,726 

3,133,452 
840,945 
800,997 
80,111 
82,104 
120,872 
20,609 
5,079,090 

5,231,975 
563,633 
(408,173) 
15,073 
45,641 
2,419 
5,450,568 

2,890,106 
805,135 
677,809 
78,994 
105,670 
120,484 
(69,402) 
4,608,796 

1,577,549 

1,849,110 

841,772 

197,662 
(85,824) 
111,838 

144,361 
11,449 
155,810 

$ 

1,465,711  $ 
(60,190) 
1,405,521 
(41,612) 
— 

1,693,300  $ 
(56,981) 
1,636,319 
(41,612) 
— 

$ 

1,363,909  $ 

1,594,707  $ 

85,863 
28,088 
113,951 

727,821 
30,150 
757,971 
(41,645) 
(2,710) 
713,616 

$ 
$ 

3.38  $ 
3.32  $ 

3.97  $ 
3.87  $ 

1.76 
1.73 

Weighted average common shares and common share equivalents outstanding
Basic
Diluted

403,062,179
410,259,455

401,802,815
411,609,478

404,347,621
412,906,478

See Notes to Consolidated Financial Statements

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF COMPREHENSIVE INCOME
(U.S. dollars in thousands)

Comprehensive Income
Net income
Other comprehensive income (loss), net of deferred income tax

Unrealized appreciation (decline) in value of available-for-sale investments:

Unrealized holding gains (losses) arising during year
Reclassification of net realized (gains) losses, included in net income

Foreign currency translation adjustments

Comprehensive income

Net (income) loss attributable to noncontrolling interests
Other comprehensive (income) loss attributable to noncontrolling interests

Comprehensive income available to Arch

$ 

Year Ended December 31,

2020

2019

2018

$ 

1,465,711  $ 

1,693,300  $ 

727,821 

678,717 
(426,187) 
33,336 
1,751,577 
(60,190) 
(9,062) 
1,682,325  $ 

500,771 
(118,941) 
18,110 
2,093,240 
(56,981) 
(9,130) 
2,027,129  $ 

(270,057) 
144,573 
(24,830) 
577,507 
30,150 
3,346 
611,003 

See Notes to Consolidated Financial Statements

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF CHANGES IN SHAREHOLDERS' EQUITY
(U.S. dollars in thousands)

Year Ended December 31,

2020

2019

2018

Non-cumulative preferred shares
Balance at beginning of year
Preferred shares issued
Preferred shares redeemed

Balance at end of year

Convertible non-voting common equivalent preferred shares
Balance at beginning of year

Preferred shares converted to common shares

Balance at end of year

Common shares
Balance at beginning of year
Common shares issued, net

Balance at end of year

Additional paid-in capital
Balance at beginning of year

Preferred shares converted to common shares
Amortization of share-based compensation
Other changes

Balance at end of year

Retained earnings
Balance at beginning of year

Cumulative effect of an accounting change 

Balance at beginning of year, as adjusted

Net income
Net (income) loss attributable to noncontrolling interests
Preferred share dividends
Loss on redemption of preferred shares

Balance at end of year

Accumulated other comprehensive income (loss)
Balance at beginning of year

Unrealized appreciation (decline) in value of available-for-sale investments, net of deferred 
income tax:

Balance at beginning of year

Cumulative effect of an accounting change 

Balance at beginning of year, as adjusted
Unrealized holding gains (losses) during period, net of reclassification adjustment
Unrealized holding gains (losses) during period attributable to noncontrolling interests
Balance at end of year

Foreign currency translation adjustments, net of deferred income tax:

Balance at beginning of year
Foreign currency translation adjustments
Foreign currency translation adjustments attributable to noncontrolling interests

Balance at end of year

Balance at end of year

Common shares held in treasury, at cost
Balance at beginning of year

Shares repurchased for treasury

Balance at end of year

Total shareholders’ equity available to Arch
Non-redeemable noncontrolling interests
Total shareholders’ equity

$ 

780,000  $ 
— 
— 
780,000 

780,000  $ 
— 
— 
780,000 

— 
— 
— 

638 
5 
643 

1,889,683 
— 
70,535 
17,576 
1,977,794 

11,021,006 
(22,452) 
10,998,554 
1,465,711 
(60,190) 
(41,612) 
— 
12,362,463 

— 
— 
— 

634 
4 
638 

1,793,781 
— 
64,152 
31,750 
1,889,683 

9,426,299 
— 
9,426,299 
1,693,300 
(56,981) 
(41,612) 
— 
11,021,006 

872,555 
— 
(92,555) 
780,000 

489,627 
(489,627) 
— 

611 
23 
634 

1,230,617 
489,608 
55,920 
17,636 
1,793,781 

8,562,889 
149,794 
8,712,683 
727,821 
30,150 
(41,645) 
(2,710) 
9,426,299 

212,091 

(178,720) 

118,044 

258,486 
— 
258,486 
252,530 
(9,721) 
501,295 

(46,395) 
33,336 
659 
(12,400) 
488,895 

(114,178) 
— 
(114,178) 
381,830 
(9,166) 
258,486 

(64,542) 
18,110 
37 
(46,395) 
212,091 

(2,406,047) 
(97,862) 
(2,503,909) 

(2,382,167) 
(23,880) 
(2,406,047) 

13,105,886 
823,007 
13,928,893  $ 

11,497,371 
762,777 
12,260,148  $ 

$ 

157,400 
(149,794) 
7,606 
(125,484) 
3,700 
(114,178) 

(39,356) 
(24,830) 
(356) 
(64,542) 
(178,720) 

(2,077,741) 
(304,426) 
(2,382,167) 

9,439,827 
791,560 
10,231,387 

See Notes to Consolidated Financial Statements

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF CASH FLOWS
(U.S. dollars in thousands)

Operating Activities
Net income
Adjustments to reconcile net income to net cash provided by operating activities:

Net realized (gains) losses

Equity in net income or loss of investments accounted for using the
equity method and other income or loss
Amortization of intangible assets
Share-based compensation

Changes in:

Reserve for losses and loss adjustment expenses, net of unpaid losses and loss adjustment expenses 
recoverable
Unearned premiums, net of ceded unearned premiums
Premiums receivable
Deferred acquisition costs
Reinsurance balances payable
Other items, net

Net cash provided by operating activities

Investing Activities
Purchases of fixed maturity investments
Purchases of equity securities
Purchases of other investments
Proceeds from sales of fixed maturity investments
Proceeds from sales of equity securities
Proceeds from sales, redemptions and maturities of other investments
Proceeds from redemptions and maturities of fixed maturity investments
Net settlements of derivative instruments
Net (purchases) sales of short-term investments
Change in cash collateral related to securities lending
Purchases of fixed assets
Other

Net cash provided by (used for) investing activities

Financing Activities
Redemption of preferred shares
Purchases of common shares under share repurchase program
Proceeds from common shares issued, net
Proceeds from borrowings
Repayments of borrowings
Change in cash collateral related to securities lending
Change in third party investment in non-redeemable noncontrolling interests
Change in third party investment in redeemable noncontrolling interests
Dividends paid to redeemable noncontrolling interests
Other
Preferred dividends paid

Net cash provided by (used for) financing activities

Year Ended December 31,

2020

2019

2018

$ 

1,465,711  $ 

1,693,300  $ 

727,821 

(844,625) 

(377,967) 

390,379 

(47,951) 
69,031 
71,262 

(14,013) 
82,104 
66,417 

36,694 
105,670 
55,776 

2,113,827 
445,781 
(318,643) 
(143,948) 
65,950 
10,110 
2,886,505 

(39,765,277) 
(1,595,010) 
(1,808,727) 
37,949,346 
1,147,264 
1,029,578 
871,134 
179,006 
(1,029,681) 
81,210 
(39,872) 
(62,197) 
(3,043,226) 

— 
(83,472) 
1,876 
1,018,793 
(359,000) 
(81,210) 
(2,867) 
— 
(4,945) 
73,715 
(41,612) 
521,278 

489,981 
252,569 
(237,752) 
(47,260) 
182,132 
(41,052) 
2,048,459 

(30,053,777) 
(811,967) 
(1,470,545) 
28,595,865 
429,818 
1,209,559 
643,265 
59,982 
39,833 
(62,193) 
(37,837) 
(348,486) 
(1,806,483) 

— 
(2,871) 
6,203 
200,083 
(49,182) 
62,193 
(75,056) 
(161,882) 
(12,515) 
(6,023) 
(41,612) 
(80,662) 

243,734 
114,772 
(211,296) 
(37,847) 
73,438 
60,181 
1,559,322 

(33,327,660) 
(1,001,149) 
(2,014,622) 
31,513,271 
1,118,445 
1,561,958 
892,755 
44,699 
485,473 
180,883 
(29,809) 
21,736 
(554,020) 

(92,555) 
(282,762) 
(7,608) 
218,259 
(576,401) 
(180,883) 
— 
— 
(17,989) 
(7,226) 
(41,645) 
(988,810) 

(19,133) 

(2,641) 
727,284 
724,643 

(980) 
119,775 

Effects of exchange rate changes on foreign currency cash and restricted cash

22,289 

17,741 

Increase (decrease) in cash and restricted cash
Cash and restricted cash, beginning of year
Cash and restricted cash, end of year

Income taxes paid (received)
Interest paid

386,846 
903,698 
1,290,544  $ 

179,055 
724,643 
903,698  $ 

202,940  $ 
133,491  $ 

109,463  $ 
126,945  $ 

$ 

$ 
$ 

See Notes to Consolidated Financial Statements

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1.  General

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

Arch Capital Group Ltd. (“Arch Capital”) is a publicly listed 
Bermuda  exempted  company  which  provides  insurance, 
reinsurance  and  mortgage  insurance  on  a  worldwide  basis 
through its wholly owned subsidiaries.

As  used  herein,  the  “Company”  means  Arch  Capital  and  its 
subsidiaries.  Similarly,  “Common  Shares”  means 
the 
shares  of  Arch  Capital.  The  Company’s 
common 
consolidated  financial  statements  include  the  results  of 
Watford  Holdings  Ltd.,  and  its  wholly  owned  subsidiaries 
(“Watford”).  See  note  12,  “Variable  Interest  Entity  and 
Noncontrolling Interests”.

2.  Business Acquired

Barbican Group Holdings Limited

On November 29, 2019, the Company closed the acquisition 
of  Barbican  Group  Holdings  Limited  and  its  subsidiaries 
(collectively, “Barbican”).

The Ardonagh Group

the  Company’s  U.K. 

On  January  1,  2019, 
insurance 
operations  entered  into  a  transaction  with  The  Ardonagh 
Group to acquire renewal rights for a U.K. commercial lines 
book  of  business,  consisting  of  commercial  property, 
casualty,  motor,  professional  liability,  personal  accident  and 
travel business.

McNeil

On December 6, 2018, the Company closed the acquisition of 
McNeil & Co. (“McNeil”), a nationwide leader in specialized 
risk  management  and  insurance  programs  headquartered  in 
Cortland, New York. 

3.

Significant Accounting Policies

(a) Basis of Presentation

The consolidated financial statements have been prepared in 
conformity  with  accounting  principles  generally  accepted  in 
the  United  States  of  America  (“GAAP”)  and  include  the 
accounts of Arch Capital and its subsidiaries, including Arch 
Reinsurance  Ltd.  (“Arch  Re  Bermuda”),  Arch  Reinsurance 
Company (“Arch Re U.S.”), Arch Capital Group (U.S.) Inc.
(“Arch-U.S.”),  Arch  Insurance  Company,  Arch  Specialty 
Insurance  Company,  Arch  Property  &  Casualty  Insurance 
Insurance 
Company 
Company,  Arch  Insurance  Canada  Ltd.  (“Arch  Insurance 
Canada”),  Arch  Reinsurance  Europe  Designated  Activity 
Company  (“Arch  Re  Europe”),  Arch  Mortgage  Insurance 

(“Arch  P&C”),  Arch 

Indemnity 

Company  (“AMIC”),  Arch  Mortgage  Guaranty  Company, 
Insurance  Company 
United  Guaranty  Residential 
(“UGRIC”),  Arch  Insurance  (EU)  Designated  Activity 
Company  (“Arch  Insurance  (EU)”),  Arch  Insurance  (UK) 
Limited  (“Arch  Insurance  (U.K.)”),  Lloyd’s  of  London 
syndicate: Arch Syndicate 2012 (“Arch Syndicate 2012”) and 
Arch Syndicate 1955 (“Arch Syndicate 1955”) and Watford. 
All  significant  intercompany  transactions  and  balances  have 
been eliminated in consolidation. 

requires  management 

The  preparation  of  financial  statements  in  conformity  with 
GAAP 
to  make  estimates  and 
assumptions  that  affect  the  reported  amounts  of  assets  and 
liabilities and disclosure of contingent assets and liabilities at 
the date of the financial statements and the reported amounts 
of revenues and expenses during the reporting period. Actual 
results  could  differ  materially  from  those  estimates  and 
assumptions. The Company’s principal estimates include:

•

•

•

•

•

•

•

The reserve for losses and loss adjustment expenses;

Reinsurance  recoverable  on  unpaid  and  paid  losses  and 
loss  adjustment  expenses,  including  the  provision  for 
uncollectible amounts;

Estimates of written and earned premiums;

The valuation of the investment portfolio and assessment 
of allowance for credit losses;

The valuation of purchased intangible assets;

The  assessment  of  goodwill  and  intangible  assets  for 
impairment; and

The valuation of deferred tax assets.

The  Company  has  reclassified  the  presentation  of  certain 
prior year information to conform to the current presentation. 
Such  reclassifications  had  no  effect  on  the  Company’s  net 
income, shareholders’ equity or cash flows.

(b) Premium Revenues and Related Expenses

Insurance  premiums  written  are  generally 
Insurance. 
recorded at the policy inception and are primarily earned on a 
pro rata basis over the terms of the policies for all products, 
usually  12  months.  Premiums  written  include  estimates  that 
the 
are  derived  from  multiple  sources  which 
historical  experience  of  the  underlying  business,  similar 
business  and  available 
information.  Unearned 
industry 
premium reserves represent the portion of premiums written 
that  relates  to  the  unexpired  terms  of  in-force  insurance 
policies.

include 

Reinsurance. Reinsurance premiums written include amounts 
reported by brokers and ceding companies, supplemented by 
the  Company’s  own  estimates  of  premiums  where  reports 
have  not  been  received.  The  determination  of  premium 
estimates  requires  a  review  of  the  Company’s  experience 
with the ceding companies, familiarity with each market, the 

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

the  reported 

timing  of 
information,  an  analysis  and 
understanding of the characteristics of each line of business, 
and management’s judgment of the impact of various factors, 
including premium or loss trends, on the volume of business 
written and ceded to the Company. On an ongoing basis, the 
Company’s  underwriters  review  the  amounts  reported  by 
these 
their 
third  parties  for  reasonableness  based  on 
experience  and  knowledge  of  the  subject  class  of  business, 
taking into account the Company’s historical experience with 
the  brokers  or  ceding  companies.  In  addition,  reinsurance 
contracts  under  which  the  Company  assumes  business 
generally  contain  specific  provisions  which  allow 
the 
Company to perform audits of the ceding company to ensure 
compliance  with  the  terms  and  conditions  of  the  contract, 
including accurate and timely reporting of information. Based 
on  a  review  of  all  available  information,  management 
establishes  premium  estimates  where  reports  have  not  been 
received.  Premium  estimates  are  updated  when  new 
is  received  and  differences  between  such 
information 
estimates  and  actual  amounts  are  recorded  in  the  period  in 
which  estimates  are  changed  or  the  actual  amounts  are 
determined.

the  Company  writes.  Premiums  on 

Reinsurance premiums written are recorded based on the type 
of  contracts 
the 
Company’s excess of loss and pro rata reinsurance contracts 
are  estimated  when  the  business  is  underwritten.  For  excess 
of loss contracts, premiums are recorded as written based on 
the  terms  of  the  contract.  Estimates  of  premiums  written 
under  pro  rata  contracts  are  recorded  in  the  period  in  which 
the underlying risks are expected to incept and are based on 
information  provided  by 
the  ceding 
companies.  For  multi-year  reinsurance  treaties  which  are 
payable  in  annual  installments,  generally,  only  the  initial 
annual installment is included as premiums written at policy 
inception  due  to  the  ability  of  the  reinsured  to  commute  or 
cancel coverage during the term of the policy. The remaining 
annual installments are included as premiums written at each 
successive anniversary date within the multi-year term.

the  brokers  and 

Reinsurance  premiums  written,  irrespective  of  the  class  of 
business,  are  generally  earned  on  a  pro  rata  basis  over  the 
terms  of  the  underlying  policies  or  reinsurance  contracts. 
Contracts  and  policies  written  on  a  “losses  occurring”  basis 
cover  claims  that  may  occur  during  the  term  of  the  contract 
or  policy,  which  is  typically  12  months.  Accordingly,  the 
premium is earned evenly over the term. Contracts which are 
written on a “risks attaching” basis cover claims which attach 
to the underlying insurance policies written during the terms 
of such contracts. Premiums earned on such contracts usually 
extend  beyond  the  original  term  of  the  reinsurance  contract, 
typically resulting in recognition of premiums earned over a 
24-month  period.  Certain  of  the  Company’s  reinsurance 
contracts 
that  adjust  premiums  or 
acquisition  expenses  based  upon  the  experience  under  the 
contracts.  Premiums  written  and  earned,  as  well  as  related 

include  provisions 

acquisition  expenses,  are  recorded  based  upon  the  projected 
experience under such contracts.

traditional 

reinsurance.  Under 

The Company also writes certain reinsurance business that is 
intended to provide insurers with risk management solutions 
these 
that  complement 
contracts,  the  Company  assumes  a  measured  amount  of 
insurance  risk  in  exchange  for  an  anticipated  margin,  which 
is  typically  lower  than  on  traditional  reinsurance  contracts. 
The  terms  and  conditions  of  these  contracts  may  include 
additional or return premiums based on loss experience, loss 
corridors,  sublimits  and  caps.  Examples  of  such  business 
include  aggregate  stop-loss  coverages,  financial  quota  share 
coverages and multi-year retrospectively rated excess of loss 
coverages. If these contracts are deemed to transfer risk, they 
are  accounted  for  as  reinsurance.  Otherwise,  such  contracts 
are accounted for under the deposit method.

insurance  policies  are 
Mortgage.  Mortgage  guaranty 
contracts that are generally non-cancelable by the insurer, are 
renewable  at  a  fixed  price,  and  provide  for  payment  of 
premiums  on  a  monthly,  annual  or  single  basis.  Upon 
renewal, the Company is not able to re-underwrite or re-price 
its  policies.  Consistent  with  industry  accounting  practices, 
premiums written on a monthly basis are earned as coverage 
is  provided.  Premiums  written  on  an  annual  basis  are 
amortized  on  a  monthly  pro  rata  basis  over  the  year  of 
coverage.  Primary  mortgage  insurance  premiums  written  on 
policies covering more than one year are referred to as single 
premiums. A portion of the revenue from single premiums is 
recognized in premiums earned in the current period, and the 
remaining  portion  is  deferred  as  unearned  premiums  and 
earned over the estimated expiration of risk of the policy. If 
single premium policies related to insured loans are canceled 
due  to  repayment  by  the  borrower  and  the  policy  is  a  non-
refundable product, the remaining unearned premium related 
to  each  canceled  policy  is  recognized  as  earned  premium 
upon notification of the cancellation. 

Reinstatement  premiums  for  the  Company’s  insurance  and 
reinsurance operations are recognized at the time a loss event 
occurs,  where  coverage  limits  for  the  remaining  life  of  the 
contract  are  reinstated  under  pre-defined  contract  terms. 
Reinstatement premiums, if obligatory, are fully earned when 
recognized.  The  accrual  of  reinstatement  premiums  is  based 
on an estimate of losses and loss adjustment expenses, which 
reflects management’s judgment. 

Premium  estimates  are  reviewed  by  management  at  least 
quarterly.  Such  review  includes  a  comparison  of  actual 
reported premiums to expected ultimate premiums along with 
a  review  of  the  aging  and  collection  of  premium  estimates. 
Based  on  management’s  review,  the  appropriateness  of  the 
premium estimates is evaluated, and any adjustment to these 
estimates  is  recorded  in  the  period  in  which  it  becomes 
known. Adjustments to premium estimates could be material 

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

and such adjustments could directly and significantly impact 
earnings  favorably  or  unfavorably  in  the  period  they  are 
determined  because  the  estimated  premium  may  be  fully  or 
substantially  earned.  A  significant  portion  of  amounts 
included  as  premiums  receivable,  which  represent  estimated 
premiums written, net of commissions, are not currently due 
based on the terms of the underlying contracts.

Unearned  premiums  represent  the  portion  of  premiums 
written  that  is  applicable  to  the  estimated  unexpired  risk  of 
insured  loans.  A  portion  of  premium  payments  may  be 
refundable  if  the  insured  cancels  coverage,  which  generally 
occurs  when  the  loan  is  repaid,  the  loan  amortizes  to  a 
sufficiently  low  amount  to  trigger  a  lender  permitted  or 
legally required cancellation, or the value of the property has 
increased  sufficiently  in  accordance  with  the  terms  of  the 
contract.  Premium  refunds  reduce  premiums  earned  in  the 
consolidated statements of income. Generally, only unearned 
premiums are refundable.

through 

Premiums  receivable 
include  amounts  receivable  from 
agents,  brokers  and  insured  that  are  both  currently  due  and 
amounts not yet due on insurance, reinsurance and mortgage 
insurance  policies.  Premiums 
receivable  balances  are 
reported  net  of  an  allowance  for  expected  credit  losses.  The 
Company  monitors  credit  risk  associated  with  premiums 
review  of  amounts 
its  ongoing 
receivable 
outstanding, aging of the receivable, historical loss data, and 
counterparty financial strength measures. The allowance also 
includes  estimated  uncollectible  amounts  related  to  dispute 
risk.  In  certain  instances,  credit  risk  may  be  reduced  by  the 
Company’s  right  to  offset  loss  obligations  or  unearned 
premiums  against  premiums  receivable.  Any  allowance  for 
credit  losses  is  charged  to  net  realized  gains  (losses)  in  the 
period  the  receivable  is  recorded  and  revised  in  subsequent 
periods  to  reflect  changes  in  the  Company’s  estimate  of 
expected credit losses. See note 7, “Allowance for Expected 
Credit Losses” for additional information.

insurance  and 

Acquisition  Costs.  Acquisition  costs  that  are  directly  related 
and  incremental  to  the  successful  acquisition  or  renewal  of 
business  are  deferred  and  amortized  based  on  the  type  of 
contract.  The  Company’s 
reinsurance 
operations  capitalize  incremental  direct  external  costs  that 
result from acquiring a contract but do not capitalize salaries, 
benefits  and  other  internal  underwriting  costs.  For  the 
Company’s  mortgage  insurance  operations,  which  include  a 
substantial  direct  sales  force,  both  external  and  certain 
internal direct costs are deferred and amortized. For property 
and  casualty  insurance  and  reinsurance  contracts,  deferred 
acquisition  costs  are  amortized  over  the  period  in  which  the 
related  premiums  are  earned.  Consistent  with  mortgage 
insurance  industry  accounting  practice,  amortization  of 
acquisition costs related to the mortgage insurance contracts 
for each underwriting year’s book of business is recorded in 
proportion to estimated gross profits. Estimated gross profits 

are  comprised  of  earned  premiums  and  losses  and  loss 
the 
adjustment  expenses.  For  each  underwriting  year, 
Company  estimates  the  rate  of  amortization  to  reflect  actual 
experience  and  any  changes 
loss 
development. 

to  persistency  or 

Deferred  acquisition  costs  are  carried  at  their  estimated 
realizable value and take into account anticipated losses and 
loss  adjustment  expenses,  based  on  historical  and  current 
experience, and anticipated investment income. 

A premium deficiency occurs if the sum of anticipated losses 
and  loss  adjustment  expenses,  unamortized  acquisition  costs 
and maintenance costs exceed unearned premiums (including 
investment 
expected  future  premiums)  and  anticipated 
income.  A  premium  deficiency  reserve  (“PDR”)  is  recorded 
by charging any unamortized acquisition costs to expense to 
the extent required in order to eliminate the deficiency. If the 
premium  deficiency  exceeds  unamortized  acquisition  costs 
then a liability is accrued for the excess deficiency. 

To  assess  the  need  for  a  PDR  on  mortgage  exposures,  the 
Company  develops  loss  projections  based  on  modeled  loan 
defaults related to its current policies in force. This projection 
is  based  on  recent  trends  in  default  experience,  severity  and 
rates  of  defaulted  loans  moving  to  claim,  as  well  as  recent 
trends in the rate at which loans are prepaid, and incorporates 
the  expected 
anticipated 
profitability  of  the  Company’s  existing  mortgage  insurance 
business  and  the  need  for  a  PDR  for  its  mortgage  business 
involves significant reliance upon assumptions and estimates 
with  regard  to  the  likelihood,  magnitude  and  timing  of 
potential losses and premium revenues. 

income.  Evaluating 

interest 

No  premium  deficiency  charges  were  recorded  by  the 
Company during 2020, 2019 or 2018.

(c) Deposit Accounting

in 

exercises 

judgment 

significant 

Certain assumed reinsurance contracts that are deemed not to 
transfer  insurance  risk,  are  accounted  for  using  the  deposit 
method  of  accounting.  However,  it  is  possible  that  the 
Company  could  incur  financial  losses  on  such  contracts. 
Management 
the 
assumptions  used  in  determining  whether  assumed  contracts 
should  be  accounted  for  as  reinsurance  contracts  or  deposit 
contracts.  For  those  contracts  that  contain  only  significant 
underwriting risk, the estimated profit margin is deferred and 
amortized  over  the  contract  period  and  such  amount  is 
included  in  the  Company’s  underwriting  results.  When  the 
estimated profit margin is explicit, the margin is reflected as 
other  underwriting  income  and  any  adverse  financial  results 
on  such  contracts  are  reflected  as  incurred  losses.  When  the 
estimated profit margin is implicit, the margin is reflected as 
an  offset  to  paid  losses  and  any  adverse  financial  results  on 
such  contracts  are  reflected  as  incurred  losses.  Additional 

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

judgments  are  required  when  applying  the  accounting 
guidance  with  respect  to  the  revenue  recognition  criteria  for 
contracts  deemed  to  transfer  only  significant  underwriting 
risk.  For  those  contracts  that  contain  only  significant  timing 
risk,  an  accretion  rate  is  established  at  inception  of  the 
contract  based  on  actuarial  estimates  whereby  the  deposit 
accounting  liability  is  increased  to  the  estimated  amount 
payable over the contract term. The accretion on the deposit 
is  based  on  the  expected  rate  of  return  required  to  fund  the 
the 
expected 
Company  reassesses  the  estimated  ultimate  liability  and  the 
related  expected  rate  of  return.  The  accretion  of  the  deposit 
accounting  liability  as  well  as  changes  to  the  estimated 
ultimate liability and the accretion rate would be reflected as 
part  of  interest  expense  in  the  Company’s  results  of 
operations.  Any  negative  accretion  in  a  deposit  accounting 
liability  is  shown  in  other  underwriting  income  in  the 
Company’s results of operations. 

future  payment  obligations.  Periodically 

Under  some  of  these  contracts,  the  ceding  company  retains 
the  related  assets  on  a  funds-held  basis.  Such  amounts  are 
included  in  “Other  assets”  on  the  Company’s  balance  sheet. 
Interest income produced by those assets are recorded as part 
of  net  investment  income  in  the  Company's  results  of 
operations.

(d) Retroactive Reinsurance

Retroactive  reinsurance  reimburses  a  ceding  company  for 
liabilities incurred as a result of past insurable events covered 
by  the  underlying  policies  reinsured.  In  certain  instances, 
reinsurance contracts cover losses both on a prospective basis 
and  on  a  retroactive  basis  and,  accordingly,  the  Company 
bifurcates the prospective and retrospective elements of these 
reinsurance  contracts  and  accounts  for  each  element 
separately where practical. Underwriting income generated in 
connection  with  retroactive  reinsurance  contracts  is  deferred 
and  amortized  into  income  over  the  settlement  period  while 
losses  are  charged  to  income  immediately.  Subsequent 
changes  in  estimated  amount  or  timing  of  cash  flows  under 
such  retroactive  reinsurance  contracts  are  accounted  for  by 
adjusting the previously deferred amount to the balance that 
would have existed had the revised estimate been available at 
transaction,  with  a 
the 
corresponding charge or credit to income.

the  reinsurance 

inception  of 

(e) Reinsurance Ceded

In  the  normal  course  of  business,  the  Company  purchases 
reinsurance  to  increase  capacity  and  to  limit  the  impact  of 
individual  losses  and  events  on  its  underwriting  results  by 
reinsuring  certain 
insurance 
enterprises or reinsurers. The Company uses pro rata, excess 
of  loss  and  facultative  reinsurance  contracts.  Reinsurance 
ceding  commissions  that  represent  a  recovery  of  acquisition 
costs are recognized as a reduction to acquisition costs while 

levels  of  risk  with  other 

the  Company's 

the  remaining  portion 
is  deferred.  The  accompanying 
consolidated  statement  of  income  reflects  premiums  and 
losses and loss adjustment expenses and acquisition costs, net 
of  reinsurance  ceded.  See  note  8,  “Reinsurance”  for 
information  on 
reinsurance  usage. 
Reinsurance  premiums  ceded  and  unpaid  losses  and  loss 
adjustment  expenses  recoverable  are  estimated  in  a  manner 
consistent  with  that  of  the  original  policies  issued  and  the 
terms of the reinsurance contracts. If the reinsurers are unable 
to  satisfy  their  obligations  under  the  agreements,  the 
Company’s  insurance  or  reinsurance  subsidiaries  would  be 
liable for such defaulted amounts.

reports 

Reinsurance  recoverables  are  recorded  as  assets,  predicated 
on  the  reinsurers’  ability  to  meet  their  obligations  under  the 
reinsurance  agreements.  In  certain  instances,  the  Company 
obtains  collateral,  including  letters  of  credit  and  trust 
accounts  to  further  reduce  the  credit  exposure  on  its 
its 
recoverables.  The  Company 
reinsurance 
reinsurance  recoverables  net  of  an  allowance  for  expected 
credit  loss.  The  allowance  is  based  upon  the  Company’s 
ongoing  review  of  amounts  outstanding, 
the  financial 
condition  of  its  reinsurers,  amounts  and  form  of  collateral 
obtained  and  other  relevant  factors.  A  ratings  based 
probability-of-default  and  loss-given-default  methodology  is 
used to estimate the allowance for expected credit loss. Any 
allowance  for  credit  losses  is  charged  to  net  realized  gains 
(losses) in the period the recoverable is recorded and revised 
in  subsequent  periods  to  reflect  changes  in  the  Company’s 
estimate of expected credit losses. See note 7, “Allowance for 
Expected Credit Losses” for additional information.

(f) Cash

Cash  includes  cash  equivalents,  which  are  investments  with 
original maturities of three months or less which are not part 
of the investment portfolio.

(g) Restricted Cash

Restricted  cash  represents  amounts  held  for  the  benefit  of 
third  parties  and  is  legally  or  contractually  restricted  as  to 
withdrawal  or  usage  by  the  Company.  Such  amounts  are 
included in “Other assets” on the Company’s balance sheet.

(h) Investments

short-term 

investments  and 

The Company currently classifies substantially all of its fixed 
investments  as 
maturity 
“available  for  sale”  and,  accordingly,  they  are  carried  at 
estimated  fair  value  (also  known  as  fair  value)  with  the 
changes  in  fair  value  recorded  as  an  unrealized  gain  or  loss 
component  of  accumulated  other  comprehensive  income  in 
shareholders’  equity.  The  fair  value  of  fixed  maturity 
securities and equity securities is generally determined from 
quotations  received  from  nationally  recognized  pricing 

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services, or when such prices are not available, by reference 
indications.  Short-term 
to  broker  or  underwriter  bid 
investments  comprise  securities  due  to  mature  within  one 
year  of  the  date  of  issue.  Short-term  investments  include 
certain  cash  equivalents  which  are  part  of  investment 
portfolios  under  the  management  of  external  and  internal 
investment managers.

The Company enters into securities lending agreements with 
financial institutions to enhance investment income whereby 
it  loans  certain  of  its  securities  to  third  parties,  primarily 
major  brokerage  firms,  for  short  periods  of  time  through  a 
lending  agent.  Such  securities  have  been  reclassified  as 
“Securities  pledged  under  securities  lending,  at  fair  value.” 
The  Company  maintains  legal  control  over  the  securities  it 
lends, retains the earnings and cash flows associated with the 
loaned securities and receives a fee from the borrower for the 
temporary  use  of  the  securities.  Collateral  received  is 
required at a rate of 102% or greater of the fair value of the 
loaned securities including accrued investment income and is 
monitored  and  maintained  by  the  lending  agent.  Such 
collateral is reflected as “Collateral received under securities 
lending, at fair value.”

The  Company’s  investment  portfolio  includes  certain  funds 
that,  due  to  their  ownership  structure,  are  accounted  for  by 
the Company using the equity method. In applying the equity 
method,  these  investments  are  initially  recorded  at  cost  and 
are  subsequently  adjusted  based  on 
the  Company’s 
proportionate  share  of  the  net  income  or  loss  of  the  funds 
(which  include  changes  in  the  fair  value  of  the  underlying 
securities  in  the  funds).  Such  investments  are  generally 
recorded on a one to three month lag based on the availability 
of reports from the investment funds. Changes in the carrying 
value  of  such  investments  are  recorded  in  net  income  as 
“Equity  in  net  income  (loss)  of  investments  accounted  for 
using  the  equity  method.”  As  such,  fluctuations  in  the 
carrying  value  of  the  investments  accounted  for  using  the 
equity method may increase the volatility of the Company’s 
reported results of operations.

The  Company’s 
includes  equity 
investment  portfolio 
securities that are accounted for at fair value. Such holdings 
primarily  include  publicly  traded  common  stocks.  Dividend 
income  on  equities  is  reflected  in  net  investment  income. 
Changes  in  fair  value  on  equity  securities  are  included  in 
“Net realized gains (losses)” in the consolidated statement of 
income.

The  Company  elected  to  carry  certain  fixed  maturity 
securities,  equity  securities  and  other  investments  at  fair 
value  under  the  fair  value  option  afforded  by  accounting 
guidance  regarding  the  fair  value  option  for  financial  assets 
and  liabilities.  The  fair  value  for  certain  of  the  Company’s 
other  investments  are  determined  using  net  asset  values 
(“NAVs”)  as  advised  by  external  fund  managers.  The  NAV 

is  based  on  the  fund  manager’s  valuation  of  the  underlying 
holdings in accordance with the fund’s governing documents.

Changes in fair value of investments accounted for using the 
fair value option are included in “Net realized gains (losses).” 
The primary reasons for electing the fair value option were to 
address simplification and cost-benefit considerations.

as 

treated 

collateralized 

The  Company  invests  in  reverse  repurchase  agreements  that 
are  generally 
receivables. 
Receivables  for  reverse  repurchase  agreements  are  reflected 
in  “Other  investments”  in  the  Company's  consolidated 
balance  sheet  and  may  be  short  or  long-term  investments 
depending  on  their  terms.  These  agreements  are  recorded  at 
their  contracted  resale  amount  plus  accrued  interest,  other 
than  those  that  are  accounted  for  at  fair  value.  In  reverse 
repurchase  transactions,  the  Company  obtains  an  interest  in 
the purchased assets that are received as collateral.

The  Company  invests  in  limited  partner  interests  and  shares 
of limited liability companies. Such amounts are included in 
investments accounted for using the equity method and other 
investments. These investments can often have characteristics 
of a variable interest entity (“VIE”). A VIE refers to entities 
that have characteristics such as (i) insufficient equity at risk 
to allow the entity to finance its activities without additional 
financial support or (ii) instances where the equity investors, 
as  a  group,  do  not  have  the  characteristic  of  a  controlling 
financial  interest.  If  the  Company  is  determined  to  be  the 
primary beneficiary, it is required to consolidate the VIE. The 
primary beneficiary is defined as the variable interest holder 
that is determined to have the controlling financial interest as 
a result of having both (i) the power to direct the activities of 
a  VIE 
the  economic 
performance  of  the  VIE  and  (ii)  the  obligation  to  absorb 
losses  or  right  to  receive  benefits  from  the  VIE  that  could 
potentially be significant to the VIE. At inception of the VIE 
as  well  as  on  an  ongoing  basis,  the  Company  determines 
whether it is the primary beneficiary based on an analysis of 
the  Company’s  level  of  involvement  in  the  VIE,  the 
contractual  terms,  and  the  overall  structure  of  the  VIE.  The 
Company's  maximum  exposure  to  loss  with  respect  to  these 
investments  is  limited  to  the  investment  carrying  amounts 
reported  in  the  Company's  consolidated  balance  sheet  and 
any unfunded commitment.

that  most  significantly 

impact 

The  Company  conducts  a  periodic  review  to  identify  and 
evaluate  credit  based  impairments  related  to  the  Company’s 
investments.  The  Company  derives 
available  for  sale 
estimated  credit  losses  by  comparing  expected  future  cash 
flows  to  be  collected  to  the  amortized  cost  of  the  security. 
Estimates  of  expected  future  cash  flows  consider  among 
other  things,  macroeconomic  conditions  as  well  as  the 
financial condition, near-term and long-term prospects for the 
issuer,  and  the  likelihood  of  the  recoverability  of  principal 
and  interest.  Effective  January  1,  2020,  credit  losses  are 

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recognized through an allowance account subject to reversal, 
rather  than  a  reduction  in  amortized  cost.  Declines  in  value 
attributable  to  factors  other  than  credit  are  reported  in  other 
comprehensive income while the allowance for credit loss is 
charged to net realized gains (losses).

For available for sale investments that the Company intends 
to  sell  or  for  which  it  is  more  likely  than  not  that  the 
Company  would  be  required  to  sell  before  an  anticipated 
recovery  in  value,  the  full  amount  of  the  impairment  is 
included in net realized gains (losses). The new cost basis of 
the  investment  is  the  previous  amortized  cost  basis  reduced 
by  the  impairment  recognized  in  net  realized  gains  (losses). 
The  new  cost  basis  is  not  adjusted  for  any  subsequent 
recoveries in fair value. 

The Company reports accrued investment income separately 
from investment balances and has elected not to measure an 
allowance  for  credit  losses  for  accrued  investment  income. 
Any  uncollectible  accrued  interest  income  is  written  off  in 
the period it is deemed uncollectible.

judgment  and 

impaired  required 

Prior  to  January  1,  2020,  the  Company  performed  quarterly 
reviews  of  its  investments  to  determine  whether  declines  in 
fair  value  below  the  cost  basis  were  considered  other-than-
temporary in accordance with applicable accounting guidance 
regarding  the  recognition  and  presentation  of  OTTI.  The 
process  of  determining  whether  a  security  was  other-than-
temporarily 
involved 
analyzing many factors. These factors included (i) an analysis 
of  the  liquidity,  business  prospects  and  overall  financial 
condition of the issuer, (ii) the time period in which there was 
a  significant  decline  in  value,  (iii)  the  significance  of  the 
decline and (iv) the analysis of specific credit events. When 
there  were  credit-related 
losses  associated  with  debt 
securities  for  which  the  Company  did  not  have  an  intent  to 
sell  and  it  was  more  likely  than  not  that  it  would  not  be 
required to sell the security before recovery of its cost basis, 
the  amount  of  the  OTTI  related  to  a  credit  loss  was 
recognized in earnings and the amount of the OTTI related to 
other factors (e.g., interest rates, market conditions, etc.) was 
recorded  as  a  component  of  other  comprehensive  income 
(loss).  The  amount  of  the  credit  loss  of  an  impaired  debt 
security  was  the  difference  between  the  amortized  cost  and 
the  greater  of  (i)  the  present  value  of  expected  future  cash 
flows  and  (ii)  the  fair  value  of  the  security.  In  instances 
where  no  credit  loss  existed  but  it  was  more  likely  than  not 
that the Company would have to sell the debt security prior to 
the  anticipated  recovery,  the  decline  in  fair  value  below 
amortized  cost  was  recognized  as  an  OTTI  in  earnings.  In 
periods  after  the  recognition  of  an  OTTI  on  debt  securities, 
the  Company  accounted  for  such  securities  as  if  they  had 
been  purchased  on  the  measurement  date  of  the  OTTI  at  an 
amortized  cost  basis  equal  to  the  previous  amortized  cost 
basis  less  the  OTTI  recognized  in  earnings.  For  debt 
securities  for  which  OTTI  were  recognized  in  earnings,  the 

difference between the new amortized cost basis and the cash 
flows  expected  to  be  collected  would  be  accreted  or 
amortized 
income.  See  note  9, 
“Investment Information” for additional information.

investment 

into  net 

Net investment income includes interest and dividend income 
together with amortization of market premiums and discounts 
and  is  net  of  investment  management  and  custody  fees. 
Anticipated prepayments and expected maturities are used in 
applying the interest method for certain investments such as 
mortgage  and  other  asset-backed  securities.  When  actual 
prepayments 
anticipated 
significantly 
prepayments,  the  effective  yield  is  recalculated  to  reflect 
actual payments to date and anticipated future payments. The 
net  investment  in  such  securities  is  adjusted  to  the  amount 
that  would  have  existed  had  the  new  effective  yield  been 
applied  since 
the  security.  Such 
adjustments,  if  any,  are  included  in  net  investment  income 
when determined.

the  acquisition  of 

differ 

from 

losses  realized  on 

the  sale  of 
Investment  gains  or 
investments,  except  for  certain  fund 
investments,  are 
determined  on  a  first-in,  first-out  basis  and  are  reflected  in 
net income. Investment gains or losses realized on the sale of 
certain  fund  investments  are  determined  on  an  average  cost 
basis.  Unrealized  appreciation  or  decline  in  the  value  of 
available for sale securities, which are carried at fair value, is 
excluded  from  net  income  and  recorded  as  a  separate 
component of accumulated other comprehensive income, net 
of applicable deferred income tax.

(i) Derivative Instruments

recognizes  all  derivative 

The  Company 
instruments, 
including  embedded  derivative  instruments,  at  fair  value  in 
its  consolidated  balance  sheets.  The  Company  employs  the 
use of derivative instruments within its operations to mitigate 
risks  arising  from  assets  and  liabilities  held  in  foreign 
currencies  as  well  as  part  of  its  overall  investment  strategy. 
For  such  instruments,  changes  in  assets  and  liabilities 
measured at fair value are recorded as “Net realized gains” in 
the  consolidated  statements  of  income.  In  addition,  the 
Company’s derivative instruments include amounts related to 
underwriting  activities  where  an  insurance  or  reinsurance 
contract  meets  the  accounting  definition  of  a  derivative 
instrument.  For  such  contracts,  changes  in  fair  value  are 
reflected in “Other underwriting income” in the consolidated 
statements  of  income  as  the  underlying  contract  originates 
from the Company’s underwriting operations. For the periods 
ended 2020, 2019, and 2018, the Company did not designate 
any  derivative  instruments  as  hedges  under  the  relevant 
accounting  guidance.  See  note  11,  “Derivative  Instruments” 
for additional information.

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(j) Reserves for Losses and Loss Adjustment Expenses

information  derived  by 

Insurance  and  Reinsurance.  The  reserve  for  losses  and  loss 
adjustment expenses consists of estimates of unpaid reported 
losses and loss adjustment expenses and estimates for losses 
incurred  but  not  reported.  The  reserve  for  unpaid  reported 
losses  and 
loss  adjustment  expenses,  established  by 
management  based  on  reports  from  ceding  companies  and 
claims  from  insureds,  excludes  estimates  of  amounts  related 
to  losses  under  high  deductible  policies,  and  represents  the 
estimated ultimate cost of events or conditions that have been 
reported  to  or  specifically  identified  by  the  Company.  Such 
reserves  are  supplemented  by  management’s  estimates  of 
reserves for losses incurred for which reports or claims have 
not  been  received.  The  Company’s  reserves  are  based  on  a 
combination  of  reserving  methods, 
incorporating  both 
Company  and  industry  loss  development  patterns.  The 
Company selects the initial expected loss and loss adjustment 
its 
expense  ratios  based  on 
underwriters  and  actuaries  during  the  initial  pricing  of  the 
business,  supplemented  by  industry  data  where  appropriate. 
Such  ratios  consider,  among  other  things,  rate  changes  and 
changes  in  terms  and  conditions  that  have  been  observed  in 
the  market.  These  estimates  are  reviewed  regularly  and,  as 
experience  develops  and  new  information  becomes  known, 
the  reserves  are  adjusted  as  necessary.  Such  adjustments,  if 
any,  are  reflected  in  income  in  the  period  in  which  they  are 
determined. As actual loss information has been reported, the 
Company  has  developed  its  own  loss  experience  and  its 
reserving  methods  include  other  actuarial  techniques.  Over 
time,  such  techniques  have  been  given  further  weight  in  its 
reserving  process  based  on  the  continuing  maturation  of  the 
Company’s  reserves.  Inherent  in  the  estimates  of  ultimate 
losses  and  loss  adjustment  expenses  are  expected  trends  in 
claims  severity  and  frequency  and  other  factors  which  may 
vary significantly as claims are settled. Accordingly, ultimate 
losses  and  loss  adjustment  expenses  may  differ  materially 
from the amounts recorded in the accompanying consolidated 
financial statements. Losses and loss adjustment expenses are 
recorded  on  an  undiscounted  basis,  except  for  excess 
workers’  compensation  and  employers’  liability  business 
written by the Company’s insurance operations.

Mortgage.  The  reserves  for  mortgage  guaranty  insurance 
losses  and  loss  adjustment  expenses  are  the  estimated  claim 
settlement  costs  on  notices  of  delinquency  that  have  been 
received by the Company, as well as loan delinquencies that 
have been incurred but have not been reported by the lenders. 
Consistent  with  primary  mortgage 
industry 
accounting  practice,  the  Company  does  not  establish  loss 
reserves  for  future  claims  on  insured  loans  that  are  not 
currently  delinquent  (defined  as  two  or  more  payments  in 
arrears). The Company establishes loss reserves on a case-by-
case  basis  when  insured  loans  are  reported  delinquent  using 
estimated claim rates and average claim sizes for each cohort, 
net  of  any  salvage  recoverable.  The  Company  also  reserves 

insurance 

for  delinquencies  that  have  occurred  but  have  not  yet  been 
reported to the Company prior to the close of an accounting 
period. To determine this reserve, the Company estimates the 
number  of  delinquencies  not  yet  reported  using  historical 
information regarding late reported delinquencies and applies 
estimated  claim  rates  and  claim  sizes  for  the  estimated 
delinquencies not yet reported.

The  establishment  of  reserves  across 
the  Company’s 
segments  is  an  inherently  uncertain  process,  are  necessarily 
based on estimates, and the ultimate net cost may vary from 
such  estimates.  The  methods  for  making  such  estimates  and 
for  establishing  the  resulting  liability  are  reviewed  and 
updated  using  the  most  current  information  available.  Any 
resulting adjustments, which may be material, are reflected in 
current operations.

(k) Contractholder Receivables and Payables and Collateral 
Held for Insured Obligations

the  full  amount  of 

the  claim.  The  Company 

Certain  insurance  policies  written  by  the  Company’s  U.S. 
insurance operations feature large deductibles, primarily in its 
construction  and  national  accounts  line  of  business.  Under 
such contracts, the Company is obligated to pay the claimant 
for 
is 
subsequently  reimbursed  by  the  policy  holder  for  the 
deductible  amount.  These  amounts  are  included  on  a  gross 
basis  in  the  consolidated  balance  sheet  as  contractholder 
payables and contractholder receivables. In the event that the 
Company  is  unable  to  collect  from  the  policyholder,  the 
Company  would  be  liable  for  such  defaulted  amounts. 
Collateral, primarily in the form of letters of credit, cash and 
trusts,  is  obtained  from  the  policyholder  to  mitigate  the 
Company’s  credit  risk.  In  the  instances  where  the  Company 
receives collateral in the form of cash, the Company reflects 
it in “Collateral held for insured obligations.”

probability-of-default 

Contractholder  receivables  are  reported  net  of  an  allowance 
for  expected  credit  losses.  The  allowance  is  based  upon  the 
Company’s ongoing review of amounts outstanding, changes 
in  policyholder  credit  standing,  amounts  and  form  of 
collateral  obtained,  and  other  relevant  factors.  A  ratings 
based 
loss-given-default 
methodology  is  used  to  estimate  the  allowance  for  expected 
credit  losses.  Any  allowance  for  credit  losses  is  charged  to 
net  realized  gains  (losses)  in  the  period  the  receivable  is 
recorded and revised in subsequent periods to reflect changes 
in the Company’s estimate of expected credit losses. See note 
7,  “Allowance  for  Expected  Credit  Losses”  for  additional 
information.

and 

(l) Foreign Exchange

Assets  and  liabilities  of  foreign  operations  whose  functional 
currency is not the U.S. Dollar are translated at the prevailing 
exchange  rates  at  each  balance  sheet  date.  Revenues  and 

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expenses of such foreign operations are translated at average 
exchange  rates  during  the  year.  The  net  effect  of  the 
translation  adjustments  for  foreign  operations  is  included  in 
accumulated  other  comprehensive  income,  net  of  applicable 
deferred income tax. Monetary assets and liabilities, such as 
premiums  receivable  and  the  reserve  for  losses  and  loss 
adjustment  expenses,  denominated  in  foreign  currencies  are 
revalued  at  the  exchange  rate  in  effect  at  the  balance  sheet 
date  with  the  resulting  foreign  exchange  gains  and  losses 
included  in  net  income.  Accounts  that  are  classified  as  non-
monetary, such as deferred acquisition costs and the unearned 
premium  reserves,  are  not  revalued.  In  the  case  of  foreign 
currency  denominated  fixed  maturity  securities  which  are 
classified  as  “available  for  sale,”  the  change  in  exchange 
rates between the local currency in which the investments are 
denominated and the Company’s functional currency at each 
balance  sheet  date  is  included  in  unrealized  appreciation  or 
decline  in  value  of  securities,  a  component  of  accumulated 
other  comprehensive  income,  net  of  applicable  deferred 
income tax.

(m) Income Taxes

Deferred  income  taxes  reflect  the  expected  future  tax 
consequences of temporary differences between the carrying 
amounts  of  assets  and  liabilities  for  financial  reporting 
purposes  and  amounts  used  for  income  tax  purposes.  A 
valuation  allowance  is  recorded  if  it  is  more  likely  than  not 
that some or all of a deferred tax asset may not be realized. 
The  Company  considers  future  taxable  income  and  feasible 
tax  planning  strategies  in  assessing  the  need  for  a  valuation 
allowance. In the event the Company determines that it will 
not  be  able  to  realize  all  or  part  of  its  deferred  income  tax 
assets in the future, an adjustment to the deferred income tax 
assets  would  be  charged  to  income  in  the  period  in  which 
such  determination  is  made.  In  addition,  if  the  Company 
subsequently  assesses  that  the  valuation  allowance  is  no 
longer needed, a benefit would be recorded to income in the 
period  in  which  such  determination  is  made.  See  note  15, 
“Income Taxes” for additional information.

The  Company  recognizes  a  tax  benefit  where  it  concludes 
that  it  is  more  likely  than  not  that  the  tax  benefit  will  be 
sustained on audit by the taxing authority based solely on the 
technical  merits  of  the  associated  tax  position.  If  the 
recognition  threshold  is  met,  the  Company  recognizes  a  tax 
benefit measured at the largest amount of the tax benefit that, 
in the Company’s judgment, is greater than 50% likely to be 
realized. The Company records interest and penalties related 
to  unrecognized  tax  benefits  in  the  provision  for  income 
taxes.

(n) Share-Based Payment Arrangements

The  Company  applies  a  fair  value  based  measurement 
share-based  payment 
for 
method 

in  accounting 

its 

The 

criteria. 

performance 

arrangements  with  eligible  employees  and  directors. 
Compensation expense is estimated based on the fair value of 
the  award  at  the  grant  date  and  is  recognized  in  net  income 
over  the  requisite  service  period  with  a  corresponding 
increase  in  shareholders’  equity.  No  value  is  attributed  to 
awards  that  employees  forfeit  because  they  fail  to  satisfy 
vesting  conditions.  The  Company’s  (i)  time-based  awards 
generally vest over a three year period with one-third vesting 
on  the  first,  second  and  third  anniversaries  of  the  grant  date 
and (ii) performance-based awards cliff vest after each three 
year  performance  period  based  on  achievement  of  the 
specified 
share-based 
compensation  expense  associated  with  awards  that  have 
graded vesting features and vest based on service conditions 
only  is  calculated  on  a  straight-line  basis  over  the  requisite 
service  period  for  the  entire  award.  Compensation  expense 
recognized  in  connection  with  performance  awards  is  based 
on the achievement of the specified performance and service 
conditions.  The  final  measure  of  compensation  expense 
recognized over the requisite service period reflects the final 
performance  outcome.  During 
recognition  period 
compensation  expense  is  accrued  based  on  the  performance 
condition  that  is  probable  of  achievement.  For  awards 
granted to retirement-eligible employees where no service is 
required for the employee to retain the award, the grant date 
fair  value  is  immediately  recognized  as  compensation 
expense  at  the  grant  date  because  the  employee  is  able  to 
retain  the  award  without  continuing  to  provide  service.  For 
employees  near 
retirement  eligibility,  attribution  of 
compensation  cost  is  over  the  period  from  the  grant  date  to 
the  retirement  eligibility  date.  These  charges  had  no  impact 
on  the  Company’s  cash  flows  or  total  shareholders’  equity. 
See  note  22,  “Share-Based  Compensation”  for  information 
relating to the Company’s share-based payment awards.

the 

(o) Guaranty Fund and Other Related Assessments

Liabilities for guaranty fund and other related assessments in 
the  Company’s  insurance  and  reinsurance  operations  are 
accrued when the Company receives notice that an amount is 
payable, or earlier if a reasonable estimate of the assessment 
can be made.

(p) Treasury Shares

Treasury  shares  are  common  shares  purchased  by  the 
Company  and  not  subsequently  canceled.  These  shares  are 
recorded  at  cost  and  result  in  a  reduction  of  the  Company’s 
shareholders’ equity in its Consolidated Balance Sheets.

(q) Goodwill and Intangible Assets

Goodwill  represents  the  excess  of  the  purchase  price  of  an 
acquisition over the fair value of the net assets acquired and 
is  assigned  to  the  applicable  reporting  unit  at  acquisition. 
Goodwill  is  evaluated  for  impairment  on  an  annual  basis. 

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Impairment  tests  may  be  performed  more  frequently  if  the 
facts  and  circumstances  indicate  a  possible  impairment.  In 
performing  impairment  tests,  the  Company  may  first  assess 
qualitative factors to determine whether it is more likely than 
not (that is, more than a 50% probability) that the fair value 
of a reporting unit exceeds its carrying amount as a basis for 
determining  whether  it  is  necessary  to  perform  goodwill 
impairment test described in the accounting guidance. 

Indefinite-lived  intangible  assets,  such  as  insurance  licenses 
are evaluated for impairment similar to goodwill. Finite-lived 
intangible assets and liabilities include the value of acquired 
insurance  and  reinsurance  contracts,  which  are  estimated 
based on the present value of future expected cash flows and 
amortized  in  proportion  to  the  estimated  profits  expected  to 
be  realized.  Other  finite-lived  intangible  assets,  including 
customer  lists,  trade  name  and  IT  platforms,  are  amortized 
over  their  useful  lives.  Finite-lived  intangible  assets  and 
indicators  of 
liabilities  are  periodically  reviewed  for 
impairment. An impairment is recognized when the carrying 
amount  is  not  recoverable  from  its  undiscounted  cash  flows 
and  is  measured  as  the  difference  between  the  carrying 
amount and fair value.

If goodwill or intangible assets are impaired, such assets are 
written  down  to  their  fair  values  with  the  related  expense 
recorded in the Company’s results of operations.

(r) Recent Accounting Pronouncements

Recently Issued Accounting Standards Adopted

the 

The  Company  adopted  ASU  2018-13,  “Fair  Value 
Measurement (Topic 820): Disclosure Framework - Changes 
for  Fair  Value 
to 
the  Disclosure  Requirements 
disclosure 
Measurement.”  The  ASU  modifies 
requirements  on  fair  value  measurement  as  part  of  the 
disclosure  framework  project  with  the  objective  to  improve 
the  effectiveness  of  disclosures  in  the  notes  to  the  financial 
statements. The amendments in this update allow for removal 
of  (1)  the  amount  and  reasons  for  transfer  between  Level  1 
and  Level  2  of  the  fair  value  hierarchy;  (2)  the  policy  for 
transfers  between  levels;  and  (3)  the  valuation  processes  for 
Level  3  fair  value  measurements.  The  adoption  of  this 
guidance  did  not  have  a  material  effect  on  the  Company’s 
consolidated financial statements.

The  Company  adopted  ASU  2018-15,  “Intangibles  - 
Goodwill  and  Other  -  Internal  Use  Software  (Subtopic 
350-40).”  This  ASU  aligns  the  requirements  for  capitalizing 
certain  implementation  costs  incurred  in  a  cloud  computing 
arrangement  that  is  a  service  contract  with  the  requirements 
for  capitalizing  implementation  costs  incurred  to  develop  or 
obtain 
software.  The  guidance  provides 
flexibility  in  adoption,  allowing  for  either  retrospective 
adjustment  or  prospective  adjustment  for  all  implementation 

internal-use 

costs  incurred  after  the  date  of  adoption.  The  Company 
adopted  this  guidance  prospectively.  The  adoption  of  this 
guidance  did  not  have  a  material  effect  on  the  Company’s 
consolidated financial statements.

The  Company  adopted  ASU  2020-09,  “Debt  (Topic  470): 
Amendments  to  SEC  Paragraphs  Pursuant  to  SEC  Release 
No.  33-10762.”  This  ASU  aligns  the  SEC  release  issued  in 
March  2020  amending  Rule  3-10  of  Regulation  S-X 
regarding  financial  disclosure  requirements  for  registered 
debt  offerings  involving  subsidiaries  as  either  issuers  or 
guarantors  and  affiliates  whose  securities  are  pledged  as 
collateral. This new guidance narrows the circumstances that 
require separate financial statements of subsidiary issuers and 
the  alternative  disclosures 
guarantors  and  streamlines 
required  in  lieu  of  those  statements.  The  amendment  is 
effective  on  January  4,  2021  with  early  adoption  permitted. 
The Company elected to apply the amended requirements for 
the quarter ended March 31, 2020, and is no longer providing 
condensed  consolidating  financial  information  that  resulted 
from the registered debt obligations of its subsidiaries, Arch 
Capital  Group  (U.S.)  Inc.  and  Arch  Capital  Finance  LLC., 
that were disclosed in Note 26 of the financial statements in 
the Company’s 2019 Form 10-K.

including 

reinsurance 

The Company adopted ASU 2016-13, “Financial Instruments 
- Credit Losses (Topic 326).” The ASU applies a new credit 
loss  model  (current  expected  credit  losses)  for  determining 
credit related impairments for financial instruments measured 
at  amortized  cost, 
recoverable, 
contractholder  receivables,  and  premiums  receivable,  and 
requires  an  entity  to  estimate  its  lifetime  “expected  credit 
loss” and record an allowance that, when deducted from the 
amortized  cost  basis  of  the  financial  asset,  presents  the  net 
amount  expected  to  be  collected  on  the  financial  asset.  The 
estimate  of  expected  credit  losses  should  consider  historical 
information,  current  information,  as  well  as  reasonable  and 
supportable forecasts, including estimates of prepayments. 

The  ASU  also  amends  the  previous  other-than-temporary 
impairment  model  for  available-for-sale  debt  securities  by 
requiring  the  recognition  of  impairments  relating  to  credit 
losses through an allowance account and limits the amount of 
credit  loss  to  the  difference  between  a  security’s  amortized 
cost basis and its fair value. In addition, the length of time a 
security has been in an unrealized loss position will no longer 
impact the determination of whether a credit loss exists. 

The Company adopted the ASU for the quarter ending March 
31,  2020  by  recognizing  an  after-tax  cumulative  effect 
adjustment  of  $22.5  million  to  the  opening  balance  of 
retained  earnings  as  of  January  1,  2020.  The  cumulative 
effect  adjustment  decreased  retained  earnings  and  increased 
the allowance for credit losses.

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

Recently Issued Accounting Standards Not Yet Adopted

intraperiod 

ASU  2019-12,  “Simplifying  the  Accounting  for  Income 
Taxes,” was issued in December 2019. This ASU eliminates 
certain  exceptions  for  recognizing  deferred 
taxes  for 
tax  allocation  and 
investments,  performing 
calculating  income  taxes  in  interim  periods.  The  ASU  also 
clarifies the accounting for transactions that result in a step-
up  in  the  tax  basis  of  goodwill.  The  ASU  is  effective  for 
fiscal  years  beginning  after  December  15,  2020  and  interim 
periods  within  those  fiscal  years  with  early  adoption 
permitted. The Company is currently evaluating the impact of 
the new guidance on its consolidated financial statements and 
does not expect this guidance to have a material effect on the 
Company’s consolidated financial statements.

President  and  Chief  Underwriting  Officer  of  Arch  Capital. 
The  chief  operating  decision  makers  do  not  assess 
performance,  measure  return  on  equity  or  make  resource 
allocation decisions on a line of business basis. Management 
measures  segment  performance  for  its  three  underwriting 
segments  based  on  underwriting  income  or  loss.  The 
Company  does  not  manage  its  assets  by  underwriting 
segment,  with  the  exception  of  goodwill  and  intangible 
assets,  and,  accordingly,  investment  income  is  not  allocated 
to each underwriting segment. 

The insurance segment consists of the Company’s insurance 
underwriting  units  which  offer  specialty  product  lines  on  a 
worldwide basis. Product lines include: 

to 

ASU 2020-04, “Facilitation of the Effects of Reference Rate 
Reform on Financial Reporting,” was issued in March 2020. 
This  ASU  provides  optional  expedients  and  exceptions  for 
applying  GAAP 
investments,  derivatives,  or  other 
transactions  that  reference  the  London  Interbank  Offered 
Rate  (LIBOR)  or  another  reference  rate  expected  to  be 
discontinued  because  of  reference  rate  reform.  Along  with 
the  optional  expedients,  the  amendments  include  a  general 
principle 
to  consider  contract 
modifications  due  to  reference  reform  to  be  an  event  that 
does not require contract re-measurement at the modification 
date or reassessment of a previous accounting determination. 
This  standard  may  be  elected  over  time  through  December 
31,  2022  as  reference  rate  reform  activities  occur.  The 
Company  is  currently  evaluating  the  impact  of  the  new 
guidance  on  its  consolidated  financial  statements  and  does 
not  expect  this  guidance  to  have  a  material  effect  on  the 
Company’s consolidated financial statements. 

that  permits  an  entity 

4.  Segment Information

The Company classifies its businesses into three underwriting 
segments — insurance, reinsurance and mortgage — and two 
other  operating  segments  —  ‘other’  and  corporate  (non-
underwriting).  The  Company  determined 
its  reportable 
segments  using  the  management  approach  described  in 
accounting guidance regarding disclosures about segments of 
an  enterprise  and  related  information.  The  accounting 
policies  of  the  segments  are  the  same  as  those  used  for  the 
preparation  of 
financial 
statements. Intersegment business is allocated to the segment 
accountable for the underwriting results.

the  Company’s  consolidated 

insurance, 

The  Company’s 
reinsurance  and  mortgage 
segments  each  have  managers  who  are  responsible  for  the 
overall profitability of their respective segments and who are 
directly  accountable  to  the  Company’s  chief  operating 
decision makers, the Chief Executive Officer of Arch Capital, 
Chief Financial Officer and Treasurer of Arch Capital and the 

• 

• 

• 

• 

• 

• 

Construction  and  national  accounts:  primary  and 
excess casualty coverages to middle and large accounts 
in  the  construction  industry  and  a  wide  range  of 
products  for  middle  and  large  national  accounts, 
specializing in loss sensitive primary casualty insurance 
programs  (including 
large  deductible,  self-insured 
retention and retrospectively rated programs).

Excess  and  surplus  casualty:  primary  and  excess 
casualty  insurance  coverages,  including  middle  market 
energy business, and contract binding, which primarily 
provides  casualty  coverage  through  a  network  of 
appointed agents to small and medium risks.

products: 

protection, 

collateral 
service  contract 

debt 
Lenders 
cancellation  and 
reimbursement 
products to banks, credit unions, automotive dealerships 
and  original  equipment  manufacturers  and  other 
specialty  programs  that  pertain  to  automotive  lending 
and leasing.

fiduciary 

Professional  lines:  directors’  and  officers’  liability, 
errors  and  omissions  liability,  employment  practices 
liability, 
crime,  professional 
liability, 
indemnity  and  other  financial  related  coverages  for 
corporate,  private  equity,  venture  capital,  real  estate 
investment 
financial 
institution  and  not-for-profit  clients  of  all  sizes  and 
medical  professional  and  general  liability  insurance 
coverages  for  the  healthcare  industry.  The  business  is 
predominately written on a claims-made basis. 

partnership, 

limited 

trust, 

Programs:  primarily  package  policies,  underwriting 
workers’  compensation  and  umbrella  liability  business 
in  support  of  desirable  package  programs,  targeting 
program  managers  with  unique  expertise  and  niche 
products  offering  general 
commercial 
automobile,  inland  marine  and  property  business  with 
minimal catastrophe exposure. 

liability, 

Property,  energy,  marine  and  aviation:  primary  and 
excess general property insurance coverages, including 
catastrophe-exposed property coverage, for commercial 

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

clients.  Coverages  for  marine  include  hull,  war,  specie 
and  liability.  Aviation  and  stand-alone  terrorism  are 
also offered.

of loss basis when aggregate losses and loss adjustment 
expense  from  a  single  occurrence  of  a  covered  peril 
exceed the retention specified in the contract.

• 

• 

Travel,  accident  and  health:  specialty  travel  and 
accident  and  related  insurance  products  for  individual, 
group  travelers,  travel  agents  and  suppliers,  as  well  as 
accident and health, which provides accident, disability 
and  medical  plan  insurance  coverages  for  employer 
groups,  medical  plan  members,  students  and  other 
participant groups.

insurance 

Other:  includes  alternative  market  risks  (including 
excess  workers’ 
captive 
programs), 
compensation  and  employer’s 
insurance 
liability 
coverages for qualified self-insured groups, associations 
and 
trusts,  and  contract  and  commercial  surety 
coverages,  including  contract  bonds  (payment  and 
performance  bonds)  primarily  for  medium  and  large 
contractors  and  commercial  surety  bonds  for  Fortune 
1000  companies  and  smaller 
transaction  business 
programs.

•

•

Property  excluding  property  catastrophe:  provides 
coverage  for  both  personal  lines  and  commercial 
property  exposures  and  principally  covers  buildings, 
structures,  equipment  and  contents.  The  primary  perils 
in  this  business  include  fire,  explosion,  collapse,  riot, 
vandalism,  wind, 
tornado,  flood  and  earthquake. 
Business is assumed on both a proportional and excess 
of loss basis. In addition, facultative business is written 
which  focuses  on  commercial  property  risks  on  an 
excess of loss basis.

Other.  includes  life  reinsurance  business  on  both  a 
proportional  and  non-proportional  basis,  casualty  clash 
business  and,  in  limited  instances,  non-traditional 
business which is intended to provide insurers with risk 
traditional 
management  solutions 
reinsurance. 

that  complement 

the  Company’s 
The  reinsurance  segment  consists  of 
reinsurance underwriting units which offer specialty product 
lines on a worldwide basis. Product lines include: 

•

•

•

•

Casualty: provides coverage to ceding company clients 
on  third  party  liability  and  workers’  compensation 
exposures from ceding company clients, primarily on a 
treaty  basis.  Exposures 
include,  among  others, 
executive  assurance,  professional  liability,  workers’ 
compensation,  excess  and  umbrella  liability,  excess 
motor and healthcare business.

Marine  and  aviation:  provides  coverage  for  energy, 
hull,  cargo,  specie,  liability  and  transit,  and  aviation 
business,  including  airline  and  general  aviation  risks. 
Business  written  may  also  include  space  business, 
which includes coverages for satellite assembly, launch 
and operation for commercial space programs.

Other  specialty:  provides  coverage  to  ceding  company 
clients for proportional motor and other lines including 
surety,  accident  and  health,  workers’  compensation 
catastrophe, agriculture, trade credit and political risk. 

Property  catastrophe:  provides  protection  for  most 
catastrophic  losses  that  are  covered  in  the  underlying 
policies  written  by  reinsureds,  including  hurricane, 
earthquake,  flood,  tornado,  hail  and  fire,  and  coverage 
for  other  perils  on  a  case-by-case  basis.  Property 
catastrophe reinsurance provides coverage on an excess 

The  mortgage  segment  includes  the  Company’s  U.S.  and 
international  mortgage  insurance  and  reinsurance  operations 
as  well  as  government  sponsored  enterprise  (“GSE”)  credit-
risk sharing transactions. AMIC and UGRIC (components of  
“Arch  MI  U.S.”)  are  approved  as  eligible  mortgage  insurers 
by  Federal  National  Mortgage  Association  (“Fannie  Mae”) 
and  Federal  Home  Loan  Mortgage  Corporation  (“Freddie 
Mac”),  each  a  government  sponsored  enterprise,  or  “GSE.”.   
Arch  MI  U.S.  also  includes  Arch  Mortgage  Guaranty 
Company, which is not a GSE-approved entity.

The corporate (non-underwriting) segment results include net 
investment  income,  other  income  (loss),  other  expenses 
incurred by the Company, interest expense, net realized gains 
or losses, net impairment losses included in earnings, equity 
in net income or loss of investments accounted for using the 
equity  method,  net  foreign  exchange  gains  or  losses, 
transaction costs and other, income taxes and items related to 
the  Company’s  non-cumulative  preferred  shares.  Such 
amounts  exclude  the  results  of  the  ‘other’  segment.  The 
‘other’ segment includes the results of Watford (see note 12, 
“Variable  Interest  Entity  and  Noncontrolling  Interests”). 
Watford has its own management and board of directors that 
is  responsible  for  the  overall  profitability  of  the  ‘other’ 
segment.  For  the  ‘other’  segment,  performance  is  measured 
based on net income or loss.

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

The  following  tables  summarize  the  Company’s  underwriting  income  or  loss  by  segment,  together  with  a  reconciliation  of 
underwriting  income  or  loss  to  net  income  available  to  Arch  common  shareholders,  summary  information  regarding  net 
premiums written and earned by major line of business and net premiums written by location:

Gross premiums written (1)
Premiums ceded
Net premiums written
Change in unearned premiums
Net premiums earned
Other underwriting income (loss)
Losses and loss adjustment expenses
Acquisition expenses
Other operating expenses
Underwriting income (loss)

Net investment income
Net realized gains (losses)

Equity in net income (loss) of investments 
accounted for using the equity method
Other income (loss)
Corporate expenses 
Transaction costs and other
Amortization of intangible assets
Interest expense
Net foreign exchange gains (losses)
Income (loss) before income taxes
Income tax expense
Net income (loss)

Amounts attributable to redeemable 
noncontrolling interests

Amounts attributable to nonredeemable 
noncontrolling interests
Net income (loss) available to Arch
Preferred dividends

Net income (loss) available to Arch common 
shareholders

Underwriting Ratios
Loss ratio
Acquisition expense ratio
Other operating expense ratio
Combined ratio

Insurance
$  4,688,562 
(1,525,655) 
3,162,907 
(291,487) 
2,871,420 
(31) 
(2,092,453) 
(418,483) 
(489,153) 
(128,700) 

$ 

Year Ended December 31, 2020

Reinsurance
$  3,472,086 
(1,014,716) 
2,457,370 
(295,141) 
2,162,229 
4,454 
(1,628,320) 
(354,048) 
(168,011) 
16,304 

$ 

Mortgage
$  1,473,999 
(194,149) 
1,279,850 
118,085 
1,397,935 
20,316 
(528,344) 
(134,240) 
(162,202) 
593,465 

$ 

Sub-Total
$  9,632,691 
(2,732,564) 
6,900,127 
(468,543) 
6,431,584 
24,739 
(4,249,117) 
(906,771) 
(819,366) 
481,069 

$ 

Other
728,546 
(190,957) 
537,589 
22,762 
560,351 
2,045 
(440,482) 
(98,071) 
(55,810) 
(31,967) 

Total
$  10,088,068 
(2,650,352) 
7,437,716 
(445,781) 
6,991,935 
26,784 
(4,689,599) 
(1,004,842) 
(875,176) 
449,102 

401,908 
813,781 

117,700 
9,679 

519,608 
823,460 

146,693 
16,795 
(68,492) 
(9,456) 
(69,031) 
(120,214) 
(80,161) 
1,512,892 
(111,812) 
1,401,080 

— 
— 
— 
(4,040) 
— 
(23,242) 
(3,473) 
64,657 
(26) 
64,631 

146,693 
16,795 
(68,492) 
(13,496) 
(69,031) 
(143,456) 
(83,634) 
1,577,549 
(111,838) 
1,465,711 

(2,997) 

(4,117) 

(7,114) 

— 
1,398,083 
(41,612) 

(53,076) 
7,438 
— 

(53,076) 
1,405,521 
(41,612) 

$  1,356,471 

$ 

7,438 

$ 

1,363,909 

 72.9 %
 14.6 %
 17.0 %
 104.5 %

 75.3 %
 16.4 %
 7.8 %
 99.5 %

 37.8 %
 9.6 %
 11.6 %
 59.0 %

 66.1 %
 14.1 %
 12.7 %
 92.9 %

 78.6 %
 17.5 %
 10.0 %
 106.1 %

 67.1 %
 14.4 %
 12.5 %
 94.0 %

Goodwill and intangible assets

$ 

280,978 

$ 

18,963 

$ 

385,272 

$ 

685,213 

$ 

7,650 

$ 

692,863 

Total investable assets
Total assets
Total liabilities

$  26,856,295 
  39,791,983 
  26,789,149 

$  2,657,612 
3,490,314 
2,505,707 

$  29,513,907 
43,282,297 
29,294,856 

(1)  Certain  amounts  included  in  the  gross  premiums  written  of  each  segment  are  related  to  intersegment  transactions.  Accordingly,  the  sum  of  gross 
premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment 
transactions in the total. 

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

Gross premiums written (1)
Premiums ceded
Net premiums written
Change in unearned premiums
Net premiums earned
Other underwriting income
Losses and loss adjustment expenses
Acquisition expenses, net
Other operating expenses
Underwriting income (loss)

Net investment income
Net realized gains (losses)

Equity in net income (loss) of investments 
accounted for using the equity method
Other income (loss)
Corporate expenses
Transaction costs and other
Amortization of intangible assets
Interest expense
Net foreign exchange gains (losses)
Income (loss) before income taxes
Income tax (expense) benefit
Net income (loss)

Amounts attributable to redeemable 
noncontrolling interests

Amounts attributable to nonredeemable 
noncontrolling interests
Net income (loss) available to Arch
Preferred dividends

Net income (loss) available to Arch common 
shareholders

Underwriting Ratios
Loss ratio
Acquisition expense ratio
Other operating expense ratio
Combined ratio

Insurance
$  3,907,993 
(1,266,267) 
2,641,726 
(244,646) 
2,397,080 
— 
(1,615,475) 
(361,614) 
(454,770) 
(34,779) 

$ 

Reinsurance
$  2,323,223 
(720,500) 
1,602,723 
(136,334) 
1,466,389 
6,444 
(1,011,329) 
(239,032) 
(141,484) 
80,988 

$ 

Year Ended December 31, 2019

Mortgage
$  1,466,265 
(204,509) 
1,261,756 
104,584 
1,366,340 
16,005 
(53,513) 
(134,319) 
(153,092) 
$  1,041,421 

Sub-Total
$  7,695,645 
(2,189,440) 
5,506,205 
(276,396) 
5,229,809 
22,449 
(2,680,317) 
(734,965) 
(749,346) 
1,087,630 

$ 

Other
754,881 
(222,019) 
532,862 
23,827 
556,689 
2,412 
(453,135) 
(105,980) 
(51,651) 
(51,665) 

Total
$  8,138,960 
(2,099,893) 
6,039,067 
(252,569) 
5,786,498 
24,861 
(3,133,452) 
(840,945) 
(800,997) 
1,035,965 

491,067 
348,037 

136,671 
15,161 

627,738 
363,198 

123,672 
2,233 
(65,667) 
(14,444) 
(82,104) 
(93,735) 
(9,252) 
1,787,437 
(155,790) 
1,631,647 

— 
— 
— 
— 
— 
(27,137) 
(11,357) 
61,673 
(20) 
61,653 

123,672 
2,233 
(65,667) 
(14,444) 
(82,104) 
(120,872) 
(20,609) 
1,849,110 
(155,810) 
1,693,300 

— 

(16,909) 

(16,909) 

— 
1,631,647 
(41,612) 

(40,072) 
4,672 
— 

(40,072) 
1,636,319 
(41,612) 

$  1,590,035 

$ 

4,672 

$  1,594,707 

 67.4 %
 15.1 %
 19.0 %
 101.5 %

 69.0 %
 16.3 %
 9.6 %
 94.9 %

 3.9 %
 9.8 %
 11.2 %
 24.9 %

 51.3 %
 14.1 %
 14.3 %
 79.7 %

 81.4 %
 19.0 %
 9.3 %
 109.7 %

 54.2 %
 14.5 %
 13.8 %
 82.5 %

Goodwill and intangible assets

$ 

289,021 

$ 

2,516 

$ 

438,896 

$ 

730,433 

$ 

7,650 

$ 

738,083 

Total investable assets
Total assets
Total liabilities

$  22,285,676 
  34,374,468 
  22,977,636 

$  2,704,589 
  3,510,893 
  2,592,173 

$  24,990,265 
  37,885,361 
  25,569,809 

(1)  Certain  amounts  included  in  the  gross  premiums  written  of  each  segment  are  related  to  intersegment  transactions.  Accordingly,  the  sum  of  gross 
premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment 
transactions in the total. 

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

Gross premiums written (1)
Premiums ceded
Net premiums written
Change in unearned premiums
Net premiums earned
Other underwriting income
Losses and loss adjustment expenses
Acquisition expenses, net
Other operating expenses
Underwriting income (loss)

Net investment income
Net realized gains (losses)

Equity in net income (loss) of investments 
accounted for using the equity method
Other income (loss)
Corporate expenses
Transaction costs and other
Amortization of intangible assets
Interest expense
Net foreign exchange gains (losses)
Income (loss) before income taxes
Income tax benefit
Net income

Amounts attributable to redeemable 
noncontrolling interests

Amounts attributable to nonredeemable 
noncontrolling interests
Net income (loss) available to Arch
Preferred dividends
Loss on redemption of preferred shares

Net income (loss) available to Arch common 
shareholders

Underwriting Ratios
Loss ratio
Acquisition expense ratio
Other operating expense ratio
Combined ratio

Insurance
$  3,262,332 
(1,050,207) 
2,212,125 
(6,464) 
2,205,661 
— 
(1,520,680) 
(349,702) 
(364,138) 
(28,859) 

$ 

Reinsurance
$  1,912,522 
(539,950) 
1,372,572 
(111,356) 
1,261,216 
(682) 
(846,882) 
(211,280) 
(133,350) 
69,022 

$ 

$ 

Year Ended December 31, 2018

Mortgage
$  1,360,708 
(202,833) 
1,157,875 
28,361 
1,186,236 
13,033 
(81,289) 
(118,595) 
(142,432) 
856,953 

$ 

Sub-Total
$  6,534,423 
(1,791,851) 
4,742,572 
(89,459) 
4,653,113 
12,351 
(2,448,851) 
(679,577) 
(639,920) 
897,116 

437,958 
(287,258) 

45,641 
2,419 
(58,608) 
(11,386) 
(105,670) 
(101,019) 
58,711 
877,904 
(113,924) 
763,980 

Other
735,015 
(130,840) 
604,175 
(25,313) 
578,862 
2,722 
(441,255) 
(125,558) 
(37,889) 
(23,118) 

125,675 
(120,915) 

— 
— 
— 
(9,000) 
— 
(19,465) 
10,691 
(36,132) 
(27) 
(36,159) 

Total
$  6,961,004 
(1,614,257) 
5,346,747 
(114,772) 
5,231,975 
15,073 
(2,890,106) 
(805,135) 
(677,809) 
873,998 

563,633 
(408,173) 

45,641 
2,419 
(58,608) 
(20,386) 
(105,670) 
(120,484) 
69,402 
841,772 
(113,951) 
727,821 

— 

(18,357) 

(18,357) 

— 
763,980 
(41,645) 
(2,710) 

48,507 
(6,009) 
— 
— 

48,507 
757,971 
(41,645) 
(2,710) 

$ 

719,625 

$ 

(6,009) 

$ 

713,616 

 68.9 %
 15.9 %
 16.5 %
 101.3 %

 67.1 %
 16.8 %
 10.6 %
 94.5 %

 6.9 %
 10.0 %
 12.0 %
 28.9 %

 52.6 %
 14.6 %
 13.8 %
 81.0 %

 76.2 %
 21.7 %
 6.5 %
 104.4 %

 55.2 %
 15.4 %
 13.0 %
 83.6 %

Goodwill and intangible assets

$ 

114,012 

$ 

— 

$ 

513,258 

$ 

627,270 

$ 

7,650 

$ 

634,920 

Total investable assets
Total assets
Total liabilities

$  19,566,861 
  28,845,473 
  19,518,395 

$  2,757,663 
  3,372,856 
  2,262,255 

$  22,324,524 
  32,218,329 
  21,780,650 

(1)  Certain  amounts  included  in  the  gross  premiums  written  of  each  segment  are  related  to  intersegment  transactions.  Accordingly,  the  sum  of  gross 
premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment 
transactions in the total. 

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

The following tables provide summary information regarding net premiums earned by major line of business and net premiums 
written by underwriting location:

INSURANCE SEGMENT
Net premiums earned (1)
Property, energy, marine and aviation
Professional Lines (2)
Programs
Construction and national accounts
Excess and surplus casualty (3)
Travel, accident and health
Lenders products
Other (4)
Total

Net premiums written by underwriting location (1)
United States
Europe
Other
Total

2020

Year Ended December 31,
2019

2018

$ 

517,247  $ 
655,872
432,854
387,934
270,620
190,944
114,687
301,262

298,966  $ 
499,224
414,103
325,687
200,615
305,085
66,079
287,321

$ 

2,871,420  $ 

2,397,080  $ 

205,069 
458,425
389,186
322,440
172,424
297,147
94,248
266,722
2,205,661 

$ 

2,158,415  $ 

1,983,476  $ 

856,572
147,920 
3,162,907  $ 

559,214
99,036 
2,641,726  $ 

$ 

1,736,651 
401,974
73,500 
2,212,125 

Insurance segment results include premiums assumed through intersegment transactions and exclude premiums ceded through intersegment transactions.

(1) 
(2)   Includes professional liability, executive assurance and healthcare business.
(3) 
(4) 

Includes casualty and contract binding business.
Includes alternative markets, excess workers' compensation and surety business.

REINSURANCE SEGMENT
Net premiums earned (1)
Property excluding property catastrophe
Property catastrophe
Other Specialty (2)
Casualty (3)
Marine and aviation
Other (4)
Total

Net premiums written by underwriting location (1)
United States
Bermuda
Europe and other
Total

2020

Year Ended December 31,
2019

2018

$ 

$ 

$ 

562,208  $ 
237,736
626,409
549,056
109,624
77,196
2,162,229  $ 

362,841  $ 

90,934
478,517
429,288
48,274
56,535
1,466,389  $ 

687,622  $ 

1,001,990
767,758

529,943  $ 
578,618
494,162

$ 

2,457,370  $ 

1,602,723  $ 

287,788 
75,249
474,568
347,034
39,238
37,339
1,261,216 

413,550 
487,523 
471,499 
1,372,572 

(1)  Reinsurance  segment  results  include  premiums  assumed  through  intersegment  transactions  and  exclude  premiums  ceded  through  intersegment 

transactions.
Includes proportional motor, surety, accident and health, workers’ compensation catastrophe, agriculture, trade credit and other.
Includes executive assurance, professional liability, workers’ compensation, excess motor, healthcare and other.
Includes life, casualty clash and other.

(2)
(3) 
(4) 

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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

MORTGAGE SEGMENT
Net premiums earned by underwriting location
United States
Other
Total

Net premiums written by underwriting location
United States
Other
Total

OTHER SEGMENT
Net premiums earned (1)
Casualty (2)
Other specialty (3)
Property catastrophe
Property excluding property catastrophe
Marine and aviation
Other (4)
Total

Net premiums written by underwriting location (1)
United States
Europe
Bermuda
Total

Year Ended December 31,
2019

2018

2020

1,158,563  $ 
239,372 
1,397,935  $ 

1,134,849  $ 
231,491 
1,366,340  $ 

1,009,765 
176,471 
1,186,236 

1,021,950  $ 
257,900 
1,279,850  $ 

1,032,868  $ 
228,888 
1,261,756  $ 

948,323 
209,552 
1,157,875 

Year Ended December 31,
2019

2018

2020

245,272  $ 
186,717 
23,037 
1,130 
429 
103,766 
560,351  $ 

246,894  $ 
185,547 
13,399 
3,503 
— 
107,346 
556,689  $ 

115,471  $ 
97,753 
324,365 
537,589  $ 

127,176  $ 
52,065 
353,621 
532,862  $ 

277,589 
204,485 
10,998 
2,802 
— 
82,988 
578,862 

49,800 
91,635 
462,740 
604,175 

$ 

$ 

$ 

$ 

$ 

$ 

$ 

$ 

(1)  Other segment results include premiums assumed through intersegment transactions and exclude premiums ceded through intersegment transactions.
(2) 
(3) 
(4) 

Includes professional liability, excess motor, programs and other.
Includes proportional motor and other.
Includes mortgage, US programs and other.

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

5.  Reserve for Losses and Loss Adjustment Expenses

The  following  table  represents  an  analysis  of  losses  and  loss  adjustment  expenses  and  a  reconciliation  of  the  beginning  and 
ending reserve for losses and loss adjustment expenses:

Reserve for losses and loss adjustment expenses at beginning of year
Unpaid losses and loss adjustment expenses recoverable

Net reserve for losses and loss adjustment expenses at beginning of year

Net incurred losses and loss adjustment expenses relating to losses occurring in:

Current year
Prior years

Total net incurred losses and loss adjustment expenses

2020
13,891,842  $ 

Year Ended December 31,
2019
11,853,297  $ 

$ 

4,082,650 
9,809,192 

2,814,291 
9,039,006 

2018
11,383,792 
2,464,910 
8,918,882 

4,851,051 
(161,452) 
4,689,599 

3,297,037 
(163,585) 
3,133,452 

3,162,818 
(272,712) 
2,890,106 

Net losses and loss adjustment expense reserves of acquired business (1)

— 

209,486 

— 

Retroactive reinsurance transactions

182,210 

(225,500) 

(420,404) 

Foreign exchange (gains) losses and other

179,190 

36,003 

(143,414) 

Net paid losses and loss adjustment expenses relating to losses occurring in:

Current year
Prior years

Total net paid losses and loss adjustment expenses

Net reserve for losses and loss adjustment expenses at end of year
Unpaid losses and loss adjustment expenses recoverable

Reserve for losses and loss adjustment expenses at end of year

(1) 

Primarily related to the acquisition of Barbican. See Note 2.

Development on Prior Year Loss Reserves

Year Ended December 31, 2020 

During 2020, the Company recorded estimated net favorable 
development  on  prior  year  loss  reserves  of  $161.5  million, 
which consisted of net favorable development of $7.8 million 
from  the  insurance  segment,  $134.0  million  from  the 
reinsurance  segment,  $19.0  million  from  the  mortgage 
segment, and $0.7 million from the ‘other’ segment. 

from  medium-tailed 

The  insurance  segment’s  net  favorable  development  of  $7.8 
million,  or  0.3  points  of  net  earned  premium,  consisted  of 
$83.0  million  of  net  favorable  development  in  short-tailed 
and  long-tailed  lines  partially  offset  by  $75.2  million  of  net 
adverse  development 
lines.  Net 
favorable  development  of  $33.6  million  in  short-tailed  lines 
reflected  $21.6  million  of  favorable  development  from 
property (excluding marine), primarily from the 2015 to 2018 
accident  years,  (i.e.,  the  year  in  which  a  loss  occurred)  and 
$8.4 million of favorable development on travel and accident, 
primarily  from  the  2019  accident  year.  Net  favorable 
development  of  $49.4  million  in  long-tailed  lines  included 
$38.8  million  of  favorable  development  related  to  other 

(661,529) 
(1,999,588) 
(2,661,117) 

(621,202) 
(1,762,053) 
(2,383,255) 

12,199,074 
4,314,855 

9,809,192 
4,082,650 

$ 

16,513,929  $ 

13,891,842  $ 

(524,048) 
(1,682,116) 
(2,206,164) 

9,039,006 
2,814,291 
11,853,297 

business,  including  alternative  markets  and  excess  workers’ 
compensation,  across  all  accident  years,  and  $9.3  million  of 
favorable  development  related  to  construction  business.  Net 
lines  reflected 
adverse  development 
$37.9  million  of  adverse  development  in  surety  business, 
primarily  from  the  2019  accident  year,  $23.1  million  in 
contract  binding  business,  primarily  from  the  2016  to  2019 
accident  years,  and  $16.0  million  in  program  business, 
primarily from the 2016 to 2019 accident years.

in  medium-tailed 

The  reinsurance  segment’s  net  favorable  development  of 
$134.0  million,  or  6.2  points  of  net  earned  premium, 
consisted  of  $155.9  million  of  net  favorable  development 
from short-tailed and medium-tailed lines, partially offset by 
$21.9  million  of  net  adverse  development  from  long-tailed 
lines. Net favorable development of $144.0 million in short-
tailed  lines  reflected  $87.7  million  related  to  property 
catastrophe  and  property  other  than  property  catastrophe 
business, primarily from the 2015 to 2019 underwriting years 
(i.e.,  losses  attributable  to  contracts  having  an  inception  or 
renewal  date  within  the  given  twelve-month  period),  and 
$53.6  million  from  other  specialty  lines,  across  most 
underwriting  years.  The  net  reduction  of  loss  estimates  for 

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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

the reinsurance segment’s short-tailed lines primarily resulted 
from varying levels of reported and paid claims activity than 
previously  anticipated  which  led  to  decreases  in  certain  loss 
ratio  selections  during  2020.  Adverse  development  in  long-
tailed  lines  reflected  an  increase  in  casualty  reserves, 
primarily from the 2012 to 2015 underwriting years.

The mortgage segment’s net favorable development of $19.0 
million,  or  1.4  points  of  net  earned  premium,  included 
$16.2  million  of  favorable  development  on  U.S.  primary 
insurance  business.  Such  development  was 
mortgage 
primarily  driven  by  subrogation  recoveries  on  second  lien 
business and student loan business.

Year Ended December 31, 2019

During 2019, the Company recorded estimated net favorable 
development  on  prior  year  loss  reserves  of  $163.6  million, 
favorable  development  of 
which  consisted  of  net 
$15.8  million  from  the  insurance  segment,  $46.4  million 
from  the  reinsurance  segment  and  $125.2  million  from  the 
mortgage  segment,  partially  offset  by  $23.8  million  of  net 
adverse development from the ‘other’ segment. 

The  insurance  segment’s  net  favorable  development  of 
$15.8 million, or 0.7 points of net earned premium, consisted 
of  $54.9  million  of  net  favorable  development  from  short-
tailed  lines  and  $39.1  million  of  net  adverse  development 
from  medium-tailed  and  long-tailed  lines.  Net  favorable 
development  in  short-tailed  lines  primarily  resulted  from 
lenders  products  and  property  (including  special  risk  other 
than  marine)  reserves  across  all  accident  years,  partially 
offset  by  net  adverse  development  in  travel  business, 
primarily  from 
the  2018  accident  year.  Net  adverse 
development  in  medium-tailed  and  long-tailed  lines  of 
$39.1 million was primarily due to net adverse development 
of $33.6 million in contract binding business, primarily from 
the  2013  to  2017  accident  years,  and  $30.1  million  in 
programs, primarily from the 2014 and 2018 accident years. 
Such  amounts  were  partially  offset  by  net  favorable 
development  of  $19.3  million 
liability 
business, primarily from the 2013 to 2016 accident years, and 
$15.8 million in surety business, primarily from the 2014 to 
2016 accident years.

in  professional 

The  reinsurance  segment’s  net  favorable  development  of 
$46.4 million, or 3.2 points of net earned premium, consisted 
of  $70.5  million  of  net  favorable  development  from  short-
tailed  lines  and  $16.0  million  of  net  favorable  development 
from medium-tailed lines, partially offset by $40.1 million of 
net  adverse  development  from  long-tailed  lines.  Favorable 
development in short-tailed lines included $33.7 million from 
property  catastrophe  and  property  other  than  property 
catastrophe  reserves,  primarily  from  the  2017  and  2018 
underwriting  years  and  $40.8  million  in  other  specialty, 
primarily  from  2016  to  2018  underwriting  years.  The  net 

reduction  of  loss  estimates  for  the  reinsurance  segment’s 
short-tailed  lines  primarily  resulted  from  varying  levels  of 
reported and paid claims activity than previously anticipated 
which led to decreases in certain loss ratio selections during 
2019.  Net  favorable  development  of  $16.0  million  in 
medium-tailed  lines  included  reductions  in  marine  and 
aviation  reserves,  primarily  from 
to  2017 
underwriting  years.  Net  adverse  development  in  long-tailed 
lines  of  $40.1  million  was  primarily  due  to  net  adverse 
development of $44.5 million in casualty business, primarily 
from the 2013 to 2018 underwriting years. 

the  2011 

The  mortgage  segment’s  net  favorable  development  of 
$125.2 million, or 9.2 points of net earned premium, included 
$117.1  million  of  favorable  development  on  U.S.  primary 
mortgage 
insurance  business.  Such  development  was 
primarily  driven  by  lower  than  expected  claim  rates  on  first 
lien  business  and  subrogation  recoveries  on  second  lien 
business.

Year Ended December 31, 2018

During 2018, the Company recorded estimated net favorable 
development  on  prior  year  loss  reserves  of  $272.7  million, 
which consisted of $24.4 million from the insurance segment, 
$138.5 million from the reinsurance segment, $107.6 million 
from the mortgage segment and $2.2 million from the ‘other’ 
segment. 

The  insurance  segment’s  net  favorable  development  of 
$24.4 million, or 1.1 points of net earned premium, consisted 
of  $48.4  million  of  net  favorable  development  from  short-
tailed  lines  and  $26.3  million  of  net  favorable  development 
from long-tailed lines, partially offset by $50.3 million of net 
adverse  development  from  medium-tailed  lines.  Favorable 
development in short-tailed lines predominantly consisted of 
$50.1 million of net favorable development in property lines, 
primarily  from  the  2010  to  2017  accident  years,  partially 
offset  by  $5.0  million  of  adverse  development  on  travel, 
accident and health business from the 2013 to 2017 accident 
years.  Net  favorable  development  in  long-tailed  lines  of 
$26.3  million  included  $19.7  million  of  net  favorable 
development on executive assurance business, primarily from 
the  2015  accident  year,  and  $1.4  million  of  net  favorable 
development in casualty business, primarily from the 2009 to 
2015  accident  years.  Net  adverse  development  in  medium 
tailed lines of $50.3 million was primarily due to net adverse 
development  in  contract  binding  business  for  accident  years 
2013 to 2017.

The  reinsurance  segment’s  net  favorable  development  of 
$138.5  million,  or  11.0  points  of  net  earned  premium, 
consisted of $110.4 million from short-tailed lines and $28.1 
million  from  medium-tailed  and  long-tailed  lines.  Favorable 
development in short-tailed lines included $80.8 million from 
property  catastrophe  and  property  other  than  property 

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catastrophe  reserves,  primarily  from  the  2008  to  2017 
underwriting  years.  The  net  reduction  of  loss  estimates  for 
the reinsurance segment’s short-tailed lines primarily resulted 
from varying levels of reported and paid claims activity than 
previously  anticipated  which  led  to  decreases  in  certain  loss 
ratio  selections  during  2018.  Net  favorable  development  of 
$28.1 million in medium-tailed and long-tailed lines included 
reductions  in  casualty  reserves  of  $12.5  million,  primarily 
from the 2002 to 2010 underwriting years, and in marine and 
aviation  reserves  of  $15.6  million,  spread  across  most 
underwriting years. 

The  mortgage  segment’s  net  favorable  development  of 
$107.6 million, or 9.1 points of net earned premium, included 
$103.4  million  of  favorable  development  on  U.S.  primary 
mortgage 
insurance  business.  Such  development  was 
primarily  driven  by  lower  than  expected  claim  rates  on  first 
lien  business  and  subrogation  recoveries  on  second  lien 
business.

Retroactive Reinsurance Transactions

In  2020,  the  Company  entered  into  a  reinsurance-to-close 
agreement  related  to  a  third  party  arrangement  covering  the 
2017 and prior years of account for certain London syndicate 
business.  In  2019,  the  Company  entered  into  a  retroactive 
reinsurance  transaction  with  third  party  reinsurer  to  reinsure 
run-off  liabilities  associated  with  certain  U.S.  insurance 
exposures,  which  was  commuted  in  2020.  In  2018,  the 
Company  entered  into  a  retroactive  reinsurance  transaction 
with  third  party  reinsurers  to  reinsure  run-off  liabilities 
associated with certain U.S. insurance exposures. 

6.  Short Duration Contracts

The  Company’s  reserves  for  losses  and  loss  adjustment 
expenses  primarily  relate  to  short-duration  contracts  with 
various  characteristics  (e.g.,  type  of  coverage,  geography, 
claims duration). The Company considered such information 
in  determining  the  level  of  disaggregation  for  disclosures 
related to its short-duration contracts, as detailed in the table 
below:

Reportable 
segment
Insurance

Level of 
disaggregation

Included lines of business

Property energy, 
marine and aviation

Property energy, marine and 
aviation

Third party 
occurrence business

Third party claims-
made business

Multi-line and other 
specialty

Excess and surplus casualty 
(excluding contract binding); 
construction and national 
accounts; and other (including 
alternative market risks, excess 
workers’ compensation and 
employer’s liability insurance 
coverages)

Professional lines

Programs; contract binding (part 
of excess and surplus casualty); 
travel, accident and health; 
lenders products; and other 
(contract and commercial surety 
coverages)

Reinsurance

Casualty

Casualty

Property catastrophe

Property catastrophe

Property excluding 
property catastrophe

Property excluding property 
catastrophe

Marine and aviation Marine and aviation

Other specialty

Other specialty

Mortgage

Direct mortgage 
insurance in the U.S.

Mortgage insurance on U.S. 
primary exposures

The  Company  determined  the  following  to  be  insignificant 
for  disclosure  purposes:  (i)  amounts  included  in  the  ‘other’ 
segment  (i.e.,  Watford)  as  described  in  note  12,  “Variable 
Interest  Entity  and  Noncontrolling  Interests”;  (ii)  certain 
mortgage  business,  including  non-U.S.  primary  business, 
second  lien  and  student  loan  exposures,  global  mortgage 
reinsurance  and  participation  in  various  GSE  credit  risk-
sharing products, (iii) certain reinsurance business, including 
casualty  clash  and  non-traditional  lines  and  (iv)  amounts 
associated  with  Barbican’s  reserves  for  underwriting  years 
2018  and  prior.  Such  amounts  are  included  as  reconciling 
items.

The Company is required to establish reserves for losses and 
loss  adjustment  expenses  (“Loss  Reserves”)  that  arise  from 
the business the Company underwrites. Loss Reserves for the 
insurance,  reinsurance  and  mortgage  segments  represent 
estimates  of  future  amounts  required  to  pay  losses  and  loss 
adjustment  expenses  for  insured  or  reinsured  events  which 
have  occurred  at  or  before  the  balance  sheet  date.  Loss 
Reserves  do  not  reflect  contingency  reserve  allowances  to 
account  for  future  loss  occurrences.  Losses  arising  from 
future events will be estimated and recognized at the time the 
losses are incurred and could be substantial.

Insurance Segment

Loss  Reserves  for  the  insurance  segment  are  comprised  of 
estimated  amounts  for  (1)  reported  losses  (“case  reserves”) 
and  (2)  incurred  but  not  reported  losses  (“IBNR  reserves”). 
Generally, claims personnel determine whether to establish a 

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case  reserve  for  the  estimated  amount  of  the  ultimate 
settlement  of  individual  claims.  The  estimate  reflects  the 
judgment  of  claims  personnel  based  on  general  corporate 
reserving  practices,  the  experience  and  knowledge  of  such 
personnel regarding the nature and value of the specific type 
of  claim  and,  where  appropriate,  advice  of  counsel.  The 
Company also contracts with a number of outside third party 
administrators  in  the  claims  process  who,  in  certain  cases, 
have limited authority to establish case reserves. The work of 
such administrators is reviewed and monitored by our claims 
personnel.  Loss  Reserves  are  also  established  to  provide  for 
loss adjustment expenses and represent the estimated expense 
of  settling  claims,  including  legal  and  other  fees  and  the 
general  expenses  of  administering  the  claims  adjustment 
process. Periodically, adjustments to the case reserves may be 
made  as  additional  information  is  reported  or  payments  are 
made. IBNR reserves are established to provide for incurred 
claims which have not yet been reported at the balance sheet 
date  as  well  as  to  adjust  for  any  projected  variance  in  case 
reserving.  Actuaries  estimate  ultimate 
loss 
adjustment  expenses  using  various  generally  accepted 
actuarial methods applied to known losses and other relevant 
information.  Like  case  reserves,  IBNR  reserves  are  adjusted 
as  additional  information  becomes  known  or  payments  are 
made.  The  process  of  estimating  reserves 
involves  a 
considerable  degree  of  judgment  by  management  and,  as  of 
any given date, is inherently uncertain.

losses  and 

Ultimate  losses  and  loss  adjustment  expenses  are  generally 
determined  by  extrapolation  of  claim  emergence  and 
settlement  patterns  observed  in  the  past  that  can  reasonably 
be expected to persist into the future. In forecasting ultimate 
losses and loss adjustment expenses with respect to any line 
of  business,  past  experience  with  respect  to  that  line  of 
business  is  the  primary  resource,  developed  through  both 
industry and company experience, but cannot be relied upon 
in  isolation.  Uncertainties  in  estimating  ultimate  losses  and 
loss  adjustment  expenses  are  magnified  by  the  length  of  the 
time lag between when a claim actually occurs and when it is 
reported and settled. This time lag is sometimes referred to as 
the “claim-tail.” During this period additional facts regarding 
coverages  written  in  prior  accident  years,  as  well  as  about 
actual claims and trends, may become known and, as a result, 
may lead to adjustments of the related Loss Reserves. If the 
Company  determines  that  an  adjustment  is  appropriate,  the 
adjustment  is  recorded  in  the  accounting  period  in  which 
such  determination  is  made.  Accordingly,  should  Loss 
Reserves need to be increased or decreased in the future from 
amounts  currently  established,  future  results  of  operations 
would be negatively or positively impacted respectively. The 
Company authorizes managing general agents, general agents 
and  other  producers  to  write  program  business  on  the 
Company’s behalf within prescribed underwriting authorities. 
This  delegated  authority  process 
introduces  additional 
complexity  to  the  actuarial  determination  of  unpaid  future 

losses  and  loss  adjustment  expenses.  In  order  to  monitor 
adherence  to  the  underwriting  guidelines  given  to  such 
parties, the Company periodically performs underwriting and 
claims due diligence reviews.

for 

insureds  and  administer 

In determining ultimate losses and loss adjustment expenses, 
the cost to indemnify claimants, provide needed legal defense 
and  other  services 
the 
investigation and adjustment of claims are considered. These 
claim costs are influenced by many factors that change over 
time,  such  as  expanded  coverage  definitions  as  a  result  of 
new  court  decisions,  inflation  in  costs  to  repair  or  replace 
damaged  property,  inflation  in  the  cost  of  medical  services 
and legislated changes in statutory benefits, as well as by the 
particular, unique facts that pertain to each claim. As a result, 
the  rate  at  which  claims  arose  in  the  past  and  the  costs  to 
settle  them  may  not  always  be  representative  of  what  will 
occur in the future. The factors influencing changes in claim 
isolate  or  quantify  and 
to 
costs  are  often  difficult 
developments  in  paid  and  incurred  losses  from  historical 
trends  are  frequently  subject  to  multiple  and  conflicting 
interpretations. Changes in coverage terms or claims handling 
future  experience  and/or 
practices  may  also  cause 
development patterns to vary from the past. A key objective 
of  actuaries  in  developing  estimates  of  ultimate  losses  and 
loss adjustment expenses, and resulting IBNR reserves, is to 
identify  aberrations  and  systemic  changes  occurring  within 
historical  experience  and  adjust  for  them  so  that  the  future 
can  be  projected  more  reliably.  Because  of  the  factors 
previously discussed, this process requires the substantial use 
of informed judgment and is inherently uncertain.

Although  Loss  Reserves  are  initially  determined  based  on 
underwriting and pricing analyses, the Company’s insurance 
segment  applies  several  generally  accepted  actuarial 
methods, as discussed below, on a quarterly basis to evaluate 
the Loss Reserves, in addition to the expected loss method, in 
particular for Loss Reserves from more mature accident years 
(the  year  in  which  a  loss  occurred).  Each  quarter,  as  part  of 
the  reserving  process,  the  segments’  actuaries  reaffirm  that 
the  assumptions  used  in  the  reserving  process  continue  to 
form  a  sound  basis  for  the  projection  of  liabilities.  If  actual 
loss activity differs substantially from expectations based on 
historical  information,  an  adjustment  to  Loss  Reserves  may 
be supported. The Company places more or less reliance on a 
particular  actuarial  method  based  on 
facts  and 
circumstances at the time the estimates of Loss Reserves are 
made. 

the 

These  methods  generally  fall  into  one  of  the  following 
categories  or  are  hybrids  of  one  or  more  of  the  following 
categories:

•

Expected loss methods - these methods are based on the 
assumption that ultimate losses vary proportionately with 
premiums.  Expected  loss  and  loss  adjustment  expense 

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•

•

typically  developed  based  upon 

ratios  are 
the 
information derived by underwriters and actuaries during 
the  initial  pricing  of  the  business,  supplemented  by 
industry  data  available  from  organizations,  such  as 
statistical  bureaus  and  consulting 
firms,  where 
appropriate.  These  ratios  consider,  among  other  things, 
rate  increases  and  changes  in  terms  and  conditions  that 
have  been  observed  in  the  market.  Expected  loss 
methods  are  useful  for  estimating  ultimate  losses  and 
loss adjustment expenses in the early years of long-tailed 
lines of business, when little or no paid or incurred loss 
information is available, and is commonly applied when 
limited loss experience exists for a company.

Historical  incurred  loss  development  methods  -  these 
methods assume that the ratio of losses in one period to 
losses  in  an  earlier  period  will  remain  constant  in  the 
future. These methods use incurred losses (i.e., the sum 
of  cumulative  historical  loss  payments  plus  outstanding 
case  reserves)  over  discrete  periods  of  time  to  estimate 
future  losses.  Historical  incurred  loss  development 
methods  may  be  preferable  to  historical  paid  loss 
development  methods  because  they  explicitly  take  into 
account open cases and the claims adjusters’ evaluations 
of  the  cost  to  settle  all  known  claims.  However, 
historical incurred loss development methods necessarily 
assume  that  case  reserving  practices  are  consistently 
applied  over  time.  Therefore,  when  there  have  been 
significant changes in how case reserves are established, 
using incurred loss data to project ultimate losses may be 
less reliable than other methods.

incurred 

like  historical 

Historical  paid  loss  development  methods  -  these 
methods, 
loss  development 
methods, assume that the ratio of losses in one period to 
losses  in  an  earlier  period  will  remain  constant.  These 
methods  use  historical  loss  payments  over  discrete 
periods of time to estimate future losses and necessarily 
assume that factors that have affected paid losses in the 
past,  such  as  inflation  or  the  effects  of  litigation,  will 
remain  constant  in  the  future.  Because  historical  paid 
loss development methods do not use incurred losses to 
estimate ultimate losses, they may be more reliable than 
the  other  methods  that  use  incurred  losses  in  situations 
where  there  are  significant  changes  in  how  incurred 
losses  are  established  by  a  company’s  claims  adjusters. 
However,  historical  paid  loss  development  methods  are 
more leveraged (meaning that small changes in payments 
have a larger impact on estimates of ultimate losses) than 
actuarial  methods  that  use  incurred  losses  because 
cumulative loss payments take much longer to equal the 
expected  ultimate 
incurred 
amounts.  In  addition,  and  for  similar  reasons,  historical 
paid loss development methods are often slow to react to 
situations when new or different factors arise than those 
that have affected paid losses in the past.

than  cumulative 

losses 

•

•

•

•

Adjusted  historical  paid  and  incurred  loss  development 
methods  -  these  methods  take  traditional  historical  paid 
and incurred loss development methods and adjust them 
for  the  estimated  impact  of  changes  from  the  past  in 
factors such as inflation, the speed of claim payments or 
the  adequacy  of  case  reserves.  Adjusted  historical  paid 
and  incurred  loss  development  methods  are  often  more 
reliable methods of predicting ultimate losses in periods 
of significant change, provided the actuaries can develop 
methods  to  reasonably  quantify  the  impact  of  changes. 
As  such,  these  methods  utilize  more  judgment  than 
historical paid and incurred loss development methods.

Bornhuetter-Ferguson  (“B-F”)  paid  and  incurred  loss 
methods - these methods utilize actual paid and incurred 
losses and expected patterns of paid and incurred losses, 
taking the initial expected ultimate losses into account to 
determine  an  estimate  of  expected  ultimate  losses.  The 
B-F  paid  and  incurred  loss  methods  are  useful  when 
there are few reported claims and a relatively less stable 
pattern of reported losses.

Frequency-Severity  methods  -  These  methods  utilize 
actual paid and incurred claim experience, but break the 
data down into its component pieces: claim counts, often 
expressed as a ratio to exposure or premium (frequency), 
and average claim size (severity). The component pieces 
are projected to an ultimate level and multiplied together 
to  result  in  an  estimate  of  ultimate  loss.  These  methods 
are especially useful when the severity of claims can be 
confined  to  a  relatively  stable  range  of  estimated 
ultimate average claim value.

Additional analyses - other methodologies are often used 
in  the  reserving  process  for  specific  types  of  claims  or 
events,  such  as  catastrophic  or  other  specific  major 
events. These include vendor catastrophe models, which 
are  typically  used  in  the  estimation  of  Loss  Reserves  at 
the  early  stage  of  known  catastrophic  events  before 
information has been reported to an insurer or reinsurer. 

In  the  initial  reserving  process  for  short-tail  insurance  lines 
(consisting  of  property,  energy,  marine  and  aviation  and 
other  exposures  including  travel,  accident  and  health  and 
lenders  products),  the  Company  relies  on  a  combination  of 
the  reserving  methods  discussed  above.  For  catastrophe-
exposed  business,  the  reserving  process  also  includes  the 
usage  of  catastrophe  models  for  known  events  and  a  heavy 
reliance  on  analysis  of  individual  catastrophic  events  and 
management judgment. The development of losses on short-
tail  business  can  be  unstable,  especially  for  policies 
characterized by high severity, low frequency losses. As time 
passes,  for  a  given  accident  year,  additional  weight  is  given 
to  the  paid  and  incurred  B-F  loss  development  methods  and 
eventually 
loss 
the  historical  paid  and 
development methods in the reserving process. The Company 

incurred 

to 

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including 

that  historical  paid  and 

makes  a  number  of  key  assumptions  in  their  reserving 
reported 
process, 
development  patterns  are  stable,  catastrophe  models  provide 
useful information about our exposure to catastrophic events 
that have occurred and underwriters’ judgment as to potential 
loss exposures can be relied on. The expected loss ratios used 
in  the  initial  reserving  process  for  short-tail  business  have 
varied  over  time  due  to  changes  in  pricing,  reinsurance 
structure,  estimates  of  catastrophe  losses,  policy  changes 
(such as attachment points, class and limits) and geographical 
distribution.  As  losses  in  short-tail  lines  are  reported 
relatively  quickly,  expected  loss  ratios  are  selected  for  the 
current accident year based upon actual attritional loss ratios 
for earlier accident years, adjusted for rate changes, inflation, 
changes  in  reinsurance  programs  and  expected  attritional 
losses  based  on  modeling.  Furthermore,  ultimate  losses  for 
short-tail business are known in a reasonably short period of 
time.

In the initial reserving process for medium-tail and long-tail 
insurance lines (consisting of third party occurrence business, 
third  party  claims  made  business,  and  other  exposures 
including  surety,  programs  and  contract  binding  exposures), 
the  Company  primarily  relies  on  the  expected  loss  method. 
The  development  of  the  Company’s  medium-tail  and  long-
tail  business  may  be  unstable,  especially  if  there  are  high 
severity major events, as a portion of the Company’s casualty 
business is in high excess layers. As time passes, for a given 
accident  year,  additional  weight  is  given  to  the  paid  and 
incurred  B-F  loss  development  methods  and  historical  paid 
and  incurred  loss  development  methods  in  the  reserving 
process. The Company makes a number of key assumptions 
in  reserving  for  medium-tail  and  long-tail  lines,  including 
that the pricing loss ratio is the best estimate of the ultimate 
loss  ratio  at  the  time  the  policy  is  entered  into,  that  the  loss 

industry 

development  patterns,  which  are  based  on  a  combination  of 
loss  development  patterns  and 
company  and 
adjusted to reflect differences in the insurance segment’s mix 
of  business,  are  reasonable  and  that  claims  personnel  and 
underwriters  analyses  of  our  exposure  to  major  events  are 
assumed  to  be  the  best  estimate  of  exposure  to  the  known 
claims  on  those  events.  The  expected  loss  ratios  used  in  the 
initial  reserving  process  for  medium-tail  and  long-tail 
business  for  recent  accident  years  have  varied  over  time,  in 
some cases significantly, from earlier accident years. As the 
credibility  of  historical  experience  for  earlier  accident  years 
increases,  the  experience  from  these  accident  years  will  be 
given  a  greater  weighting  in  the  actuarial  analysis  to 
determine future accident year expected loss ratios, adjusted 
for changes in pricing, loss trends, terms and conditions and 
reinsurance structure. 

In  2018,  the  Company  entered  into  a  loss  portfolio  transfer 
and  adverse  development  cover  reinsurance  agreement 
accounted  for  as  retroactive  reinsurance.  The  agreement 
transfers  Loss  Reserves  and  future  favorable  or  adverse 
development  on  certain  runoff  programs,  within  multi-line 
third  party 
and  other  specialty  business,  and  certain 
occurrence  business  (the  “Covered  Lines”).  As  incurred 
losses and allocated loss adjustment expenses for the Covered 
Lines are ceded to the reinsurer, the Company is not exposed 
to  changes  in  the  amount,  timing  and  uncertainty  of  cash 
flows  arising  from  the  Covered  Lines.  To  avoid  distortion, 
the  incurred  losses  and  allocated  loss  adjustment  expenses 
and cumulative paid losses and loss adjustment expenses for 
the  Covered  Lines  are  excluded  entirely  from  the  tables 
below.  Reinsurance  recoverables  at  December  31,  2020 
included  $153.1  million 
reinsurance 
agreement. 

related 

this 

to 

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The following tables present information on the insurance segment’s short-duration insurance contracts:

Property, energy, marine and aviation ($000’s except claim count)

Incurred losses and allocated loss adjustment expenses, net of reinsurance

December 31, 2020

Total of IBNR 
liabilities plus 
expected 
development on 
reported claims
689 
$ 

931 

809 

4,206 

5,249 

882 

9,327 

14,784 

20,553 

168,463 

Cumulative 
number of 
reported 
claims

4,219 

4,269 

4,278 

3,930 

4,618 

6,389 

6,752 

5,347 

6,051 

16,980 

Accident 
year
2011

2011
unaudited

2012
unaudited

2013
unaudited

2014
unaudited

2015
unaudited

2016
unaudited

2017
unaudited

2018
unaudited

2019
unaudited

2020

$  269,739 

$  272,897 

$  231,841 

$  220,231 

$  210,926 

$  207,814 

$  200,918 

$  201,198 

$  197,833 

$  196,436 

Year ended December 31,

2012

2013

2014

2015

2016

2017

2018

2019

2020

2011

2012

2013

2014

2015

2016

2017

2018

2019

2020

$  34,478 

  232,500 

  231,742 

  205,098 

  198,837 

  196,405 

  192,406 

  190,192 

  178,039 

  158,718 

  156,344 

  148,800 

  143,046 

  134,620 

  133,544 

  128,301 

  148,185 

  145,765 

  147,315 

  136,096 

  132,209 

  134,234 

  112,333 

  109,799 

  103,944 

  102,469 

97,809 

  104,139 

  100,986 

  105,330 

  100,147 

  280,695 

  246,272 

  235,932 

  180,981 

  186,030 

  179,056 

177,673 

126,968 

134,937 

91,788 

96,127 

230,421 

173,693 

178,564 

359,394 

Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
$  200,473 

$  142,231 

$  167,867 

$  202,347 

$  197,720 

$  198,626 

$  99,724 

Total

$ 1,766,001 

$  195,245 

$  195,347 

20,522 

92,855 

  138,431 

  161,255 

  166,965 

  179,371 

  180,734 

  172,611 

32,239 

84,759 

  110,548 

  119,791 

  121,922 

  125,156 

  123,036 

25,859 

53,669 

23,567 

77,804 

64,916 

24,728 

84,103 

76,299 

83,321 

87,721 

86,214 

98,420 

98,463 

87,887 

97,218 

30,219 

  139,854 

  195,518 

30,026 

  102,285 

26,130 

173,460 

124,369 

115,293 

86,207 

94,703 

211,694 

134,858 

105,380 

55,619 

All outstanding liabilities before 2011, net of reinsurance

23,517 

Liabilities for losses and loss adjustment expenses, net of reinsurance

$  492,588 

Total

  1,296,930 

Third party occurrence business ($000’s except claim count)

Incurred losses and allocated loss adjustment expenses, net of reinsurance

December 31, 2020

2011
unaudited
$  234,068 

2012
unaudited
$  240,669 
  241,062 

2013
unaudited
$  254,181 
  262,718 
  282,968 

2014
unaudited
$  258,784 
  268,365 
  296,839 
  329,809 

Year ended December 31,

2015
unaudited
$  252,615 
  271,035 
  306,751 
  335,720 
  358,858 

2016
unaudited
$  253,976 
  257,418 
  301,789 
  338,623 
  391,666 
  389,623 

2017
unaudited
$  247,052 
  252,822 
  281,786 
  342,868 
  398,670 
  394,281 
  417,183 

2018
unaudited
$  239,676 
  242,930 
  274,391 
  339,495 
  391,904 
  405,889 
  417,748 
  430,216 

$ 

7,020 

$  25,276 
6,966 

$  43,479 
30,824 
6,845 

Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
$  113,502 
83,328 
71,370 
40,263 
11,119 

$  73,448 
58,444 
29,230 
9,209 

$  134,622 
  108,252 
  101,196 
71,519 
44,542 
11,689 

$  152,756 
  129,572 
  122,120 
  112,591 
88,443 
41,938 
13,396 

$  160,609 
  143,177 
  149,098 
  161,993 
  139,403 
87,565 
52,323 
17,002 

2019
unaudited
$  234,782 
  243,484 
  272,528 
  343,995 
  391,231 
  399,394 
  422,441 
  452,975 
  456,059 

Total

$  172,940 
  154,282 
  164,187 
  191,168 
  181,566 
  136,793 
99,827 
63,798 
18,392 

Accident 
year
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020

2011
2012
2013
2014
2015
2016
2017
2018
2019
2020

Total
All outstanding liabilities before 2011, net of reinsurance
Liabilities for losses and loss adjustment expenses, net of reinsurance

Total of IBNR 
liabilities plus 
expected 
development on 
reported claims
35,138 
$ 
50,208 
60,720 
77,547 
107,083 
142,000 
195,684 
248,271 
318,622 
524,473 

Cumulative 
number of 
reported 
claims

70,924 
65,495 
66,685 
74,964 
77,257 
76,765 
82,267 
74,789 
80,934 
67,541 

2020
$  235,073 
241,378 
269,437 
342,731 
382,518 
374,728 
412,318 
450,736 
487,224 
606,827 
$ 3,802,970 

$  181,505 
162,202 
174,700 
211,503 
211,573 
164,573 
135,025 
115,076 
73,120 
24,439 
  1,453,716 
209,031 
$ 2,558,285 

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

Third party claims-made business ($000’s except claim count)

Incurred losses and allocated loss adjustment expenses, net of reinsurance

December 31, 2020

2011
unaudited
$  287,607 

2012
unaudited
$  330,898 
  317,360 

2013
unaudited
$  322,274 
  319,961 
  301,715 

2014
unaudited
$  317,074 
  318,161 
  320,387 
  264,354 

Year ended December 31,

2015
unaudited
$  322,934 
  313,622 
  324,167 
  279,544 
  258,817 

2016
unaudited
$  301,240 
  291,010 
  320,284 
  298,715 
  277,437 
  275,119 

2017
unaudited
$  288,038 
  275,388 
  294,465 
  278,706 
  276,328 
  291,377 
  270,523 

2018
unaudited
$  289,974 
  277,388 
  290,961 
  281,513 
  259,902 
  308,195 
  285,993 
  272,844 

$  13,740 

$  72,365 
17,709 

$  130,424 
69,020 
19,015 

Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
$  208,665 
  164,605 
  137,890 
63,296 
9,061 

$  175,139 
  121,112 
87,408 
13,815 

$  228,450 
  190,200 
  179,302 
  129,502 
52,019 
10,547 

$  240,267 
  209,097 
  197,907 
  172,835 
  100,048 
68,178 
9,289 

$  254,300 
  227,179 
  217,030 
  207,640 
  126,452 
  127,229 
67,572 
12,255 

2019
unaudited
$  291,477 
  284,875 
  281,751 
  297,485 
  255,276 
  314,515 
  311,980 
  314,412 
  289,463 

Total

$  269,579 
  251,078 
  238,798 
  229,512 
  174,108 
  158,159 
  113,047 
68,300 
12,387 

Accident 
year
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020

2011
2012
2013
2014
2015
2016
2017
2018
2019
2020

Total
All outstanding liabilities before 2011, net of reinsurance
Liabilities for losses and loss adjustment expenses, net of reinsurance

Total of IBNR 
liabilities plus 
expected 
development on 
reported claims
4,594 
$ 
13,772 
15,306 
29,279 
29,255 
61,156 
82,537 
123,386 
186,452 
327,587 

Cumulative 
number of 
reported 
claims

11,762 
14,760 
14,543 
13,935 
13,817 
15,734 
15,923 
14,988 
18,871 
21,538 

2020
$  290,124 
285,236 
271,262 
291,729 
252,329 
321,850 
308,401 
319,956 
317,668 
383,914 
$ 3,042,469 

$  276,887 
255,098 
245,504 
243,338 
193,130 
205,514 
143,149 
118,184 
65,345 
17,098 
  1,763,247 
97,957 
$ 1,377,179 

Multi-line and other specialty ($000’s except claim count) (1)

Incurred losses and allocated loss adjustment expenses, net of reinsurance

December 31, 2020

2011
unaudited
$  183,081 

2012
unaudited
$  188,766 
  253,525 

2013
unaudited
$  182,979 
  264,217 
  274,361 

2014
unaudited
$  176,545 
  258,467 
  283,112 
  349,754 

Year ended December 31,

2015
unaudited
$  172,649 
  256,106 
  274,483 
  373,978 
  398,755 

2016
unaudited
$  172,403 
  255,277 
  281,697 
  370,442 
  418,761 
  482,653 

2017
unaudited
$  168,888 
  247,050 
  271,687 
  387,082 
  420,642 
  504,586 
  551,688 

2018
unaudited
$  170,350 
  247,279 
  275,386 
  398,240 
  443,258 
  514,650 
  579,217 
  570,069 

$  51,312 

$  103,372 
78,337 

$  117,927 
  165,836 
86,791 

Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
$  148,049 
  209,124 
  185,611 
  206,444 
  142,009 

$  136,686 
  190,064 
  152,773 
  109,236 

$  151,710 
  222,929 
  222,086 
  255,332 
  250,360 
  181,415 

$  157,199 
  231,776 
  237,898 
  306,411 
  304,197 
  323,681 
  187,606 

$  159,526 
  232,987 
  251,698 
  341,580 
  350,781 
  382,805 
  363,275 
  214,475 

2019
unaudited
$  170,091 
  244,191 
  273,177 
  410,366 
  456,329 
  516,239 
  578,341 
  621,534 
  613,638 

Total

$  162,460 
  236,282 
  257,744 
  367,026 
  380,818 
  425,642 
  419,454 
  399,852 
  213,950 

Accident 
year
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020

2011
2012
2013
2014
2015
2016
2017
2018
2019
2020

Total
All outstanding liabilities before 2011, net of reinsurance
Liabilities for losses and loss adjustment expenses, net of reinsurance

Total of IBNR 
liabilities plus 
expected 
development on 
reported claims
1,790 
$ 
2,551 
4,661 
12,232 
18,596 
28,282 
45,947 
74,894 
134,996 
403,044 

Cumulative 
number of 
reported 
claims

44,989 
55,512 
72,323 
111,727 
151,598 
177,931 
221,643 
247,622 
234,383 
117,814 

2020
$  166,577 
244,246 
270,853 
418,512 
471,865 
537,591 
615,833 
629,299 
667,415 
654,302 
$ 4,676,493 

$  162,995 
239,244 
260,374 
380,041 
409,455 
464,774 
480,336 
464,970 
397,104 
174,862 
  3,434,155 
31,453 
$ 1,273,791 

(1)       In 2019, the Company entered into a loss portfolio transfer agreement, which transferred reserves associated with certain multi-line business for accident years 2017 and prior 
to a third party. This loss portfolio transfer agreement was commuted in 2020, therefore the complete history of the subject business is now included in the multi-line triangles above.

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

The following table presents the average annual percentage payout of incurred losses and allocated loss adjustment expenses by 
age, net of reinsurance, as of December 31, 2020: 

Average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance

Year 1

Year 2

Year 3

Year 4

Year 5

Year 6

Year 7

Year 8

Year 9

Year 10

 18.6 %
 3.2 %
 4.5 %
 30.8 %

 41.7 %
 9.2 %
 18.7 %
 27.7 %

 19.6 %
 11.3 %
 18.4 %
 10.5 %

 7.8 %
 11.6 %
 12.9 %
 10.4 %

 3.9 %
 11.3 %
 12.2 %
 6.7 %

 3.3 %
 8.8 %
 7.1 %
 4.6 %

 2.3 %
 6.2 %
 5.8 %
 2.3 %

 (1.0) %
 3.9 %
 5.2 %
 1.2 %

 (0.6) %
 4.3 %
 3.3 %
 1.5 %

 0.1 %
 3.6 %
 2.5 %
 0.3 %

Property, energy, marine and aviation
Third party occurrence business
Third party claims-made business
Multi-line and other specialty

Reinsurance Segment

the  amount  of 

reserves  based  upon 

Loss  Reserves  for  the  Company’s  reinsurance  segment  are 
comprised  of  (1)  case  reserves,  (2)  additional  case  reserves 
(“ACRs”)  and  (3)  IBNR  reserves.  The  Company  receives 
reports of claims notices from ceding companies and records 
case 
reserves 
recommended by the ceding company. Case reserves may be 
supplemented  by  ACRs,  which  may  be  estimated  by  the 
Company’s  claims  personnel  ahead  of  official  notification 
from  the  ceding  company,  or  when  judgment  regarding  the 
size  or  severity  of  the  known  event  differs  from  the  ceding 
company.  In  certain  instances,  the  Company  establishes 
ACRs  even  when  the  ceding  company  does  not  report  any 
liability  on  a  known  event.  In  addition,  specific  claim 
information  reported  by  ceding  companies  or  obtained 
through  claim  audits  can  alert  the  Company  to  emerging 
trends such as changing legal interpretations of coverage and 
liability,  claims  from  unexpected  sources  or  classes  of 
business, and significant changes in the frequency or severity 
of  individual  claims.  Such  information  is  often  used  in  the 
process  of  estimating  IBNR  reserves.  IBNR  reserves  are 
established to provide for incurred claims which have not yet 
been reported at the balance sheet date as well as to adjust for 
any  projected  variance  in  case  reserving.  Actuaries  estimate 
ultimate  losses  and  loss  adjustment  expenses  using  various 
generally accepted actuarial methods applied to known losses 
and  other  relevant  information.  Like  case  reserves,  IBNR 
reserves  are  adjusted  as  additional  information  becomes 
known or payments are made. The process of estimating Loss 
Reserves  involves  a  considerable  degree  of  judgment  by 
management  and,  as  of  any  given  date,  is  inherently 
uncertain.

The estimation of Loss Reserves for the reinsurance segment 
is  subject  to  the  same  risk  factors  as  the  estimation  of  Loss 
Reserves for the insurance segment. In addition, the inherent 
uncertainties of estimating such reserves are even greater for 
reinsurers,  due  primarily  to  the  following  factors:  (1)  the 
claim-tail  for  reinsurers  is  generally  longer  because  claims 
are  first  reported  to  the  ceding  company  and  then  to  the 
reinsurer through one or more intermediaries, (2) the reliance 
on premium estimates, where reports have not been received 
from  the  ceding  company,  in  the  reserving  process,  (3)  the 
potential  for  writing  a  number  of  reinsurance  contracts  with 
different  ceding  companies  with  the  same  exposure  to  a 
single  loss  event,  (4)  the  diversity  of  loss  development 

patterns  among  different  types  of  reinsurance  contracts,  (5) 
the  ceding  companies  for 
the  necessary  reliance  on 
information  regarding  reported  claims  and  (6)  the  differing 
reserving practices among ceding companies.

Ultimate  losses  and  loss  adjustment  expenses  are  generally 
determined  by  extrapolation  of  claim  emergence  and 
settlement  patterns  observed  in  the  past  that  can  reasonably 
be  expected  to  persist  into  the  future.As  with  the  insurance 
segment,  the  process  of  estimating  Loss  Reserves  for  the 
reinsurance  segment  involves  a  considerable  degree  of 
judgment  by  management  and,  as  of  any  given  date,  is 
inherently uncertain. As discussed above, such uncertainty is 
greater  for  reinsurers  compared  to  insurers.  As  a  result,  our 
reinsurance  operations  obtain  information  from  numerous 
sources  to  assist  in  the  process.  Pricing  actuaries  from  the 
reinsurance 
to 
understanding  and  analyzing  a  ceding  company’s  operations 
and  loss  history  during  the  underwriting  of  the  business, 
using  a  combination  of  ceding  company  and  industry 
statistics. Such statistics normally include historical premium 
and  loss  data  by  class  of  business,  individual  claim 
information for larger claims, distributions of insurance limits 
provided,  loss  reporting  and  payment  patterns,  and  rate 
change history. This analysis is used to project expected loss 
ratios for each treaty during the upcoming contract period.

segment  devote 

considerable 

effort 

As  mentioned  above,  there  can  be  a  considerable  time  lag 
from the time a claim is reported to a ceding company to the 
time  it  is  reported  to  the  reinsurer.  The  lag  can  be  several 
years  in  some  cases  and  may  be  attributed  to  a  number  of 
reasons,  including  the  time  it  takes  to  investigate  a  claim, 
delays associated with the litigation process, the deterioration 
in  a  claimant’s  physical  condition  many  years  after  an 
accident  occurs,  the  case  reserving  approach  of  the  ceding 
company,  etc.  In  the  reserving  process,  the  Company 
assumes that such lags are predictable, on average, over time 
and therefore the lags are contemplated in the loss reporting 
patterns used in their actuarial methods. This means that the 
reinsurance  segment  must  rely  on  estimates  for  a  longer 
period of time than does an insurance company. Backlogs in 
the recording of assumed reinsurance can also complicate the 
accuracy  of  loss  reserve  estimation.  As  of  December  31, 
2020  there  were  no  significant  backlogs  related  to  the 
processing  of  assumed  reinsurance  information  at  our 
reinsurance operations.

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

The  reinsurance  segment  relies  heavily  on  information 
reported  by  ceding  companies,  as  discussed  above.  In  order 
to  determine 
the  accuracy  and  completeness  of  such 
information,  underwriters,  actuaries,  and  claims  personnel 
often  perform  audits  of  ceding  companies  and  regularly 
review  information  received  from  ceding  companies  for 
unusual  or  unexpected  results.  Material  findings  are  usually 
discussed  with 
the  ceding  companies.  The  Company 
sometimes encounters situations where they determine that a 
claim  presentation  from  a  ceding  company  is  not  in 
accordance  with  contract  terms.  In  these  situations,  the 
Company  attempts  to  resolve  the  dispute  with  the  ceding 
company. Most situations are resolved amicably and without 
the  need  for  litigation  or  arbitration.  However,  in  the 
infrequent  situations  where  a  resolution  is  not  possible,  the 
Company will vigorously defend its position in such disputes.

Although  Loss  Reserves  are  initially  determined  based  on 
underwriting  and  pricing  analysis,  the  Company  applies 
several  generally  accepted  actuarial  methods,  as  discussed 
above,  on  a  quarterly  basis  to  evaluate  its  Loss  Reserves  in 
addition  to  the  expected  loss  method,  in  particular  for 
reserves  from  more  mature  underwriting  years  (the  year  in 
which business is underwritten). Each quarter, as part of the 
reserving process, the Company’s actuaries reaffirm that the 
assumptions used in the reserving process continue to form a 
sound basis for projection of liabilities. If actual loss activity 
differs  substantially  from  expectations  based  on  historical 
information,  an  adjustment  to  Loss  Reserves  may  be 
supported.  Estimated  Loss  Reserves  for  more  mature 
underwriting years are now based more on actual loss activity 
and  historical  patterns  than  on  the  initial  assumptions  based 
on  pricing  indications.  More  recent  underwriting  years  rely 
more heavily on internal pricing assumptions. The Company 
places more or less reliance on a particular actuarial method 
based on the facts and circumstances at the time the estimates 
of Loss Reserves are made.

In the initial reserving process for short-tail reinsurance lines 
(consisting  of  property  excluding  property  catastrophe  and 
property  catastrophe  exposures),  the  Company  relies  on  a 
combination  of  the  reserving  methods  discussed  above.  For 
known  catastrophic  events, 
the  reserving  process  also 
includes  the  usage  of  catastrophe  models  and  a  heavy 
reliance on analysis which includes ceding company inquiries 
and  management  judgment.  The  development  of  property 
losses  may  be  unstable,  especially  where  there  is  high 
catastrophic exposure, may be characterized by high severity, 
low  frequency  losses  for  excess  and  catastrophe-exposed 
business  and  may  be  highly  correlated  across  contracts.  As 
time passes, for a given underwriting year, additional weight 
is  given  to  the  paid  and  incurred  B-F  loss  development 
methods  and  historical  paid  and  incurred  loss  development 

to  potential 

methods  in  the  reserving  process.  The  Company  makes  a 
number  of  key  assumptions  in  reserving  for  short-tail  lines, 
including  that  historical  paid  and  reported  development 
patterns  are  stable,  catastrophe  models  provide  useful 
information  about  our  exposure  to  catastrophic  events  that 
have occurred and our underwriters’ judgment and guidance 
received  from  ceding  companies  as 
loss 
exposures may be relied on. The expected loss ratios used in 
the  initial  reserving  process  for  property  exposures  have 
varied  over  time  due  to  changes  in  pricing,  reinsurance 
terms  and 
structure,  estimates  of  catastrophe 
conditions  and  geographical  distribution.  As 
in 
losses 
property  lines  are  reported  relatively  quickly,  expected  loss 
ratios  are  selected  for 
the  current  underwriting  year 
incorporating  the  experience  for  earlier  underwriting  years, 
adjusted  for  rate  changes,  inflation,  changes  in  reinsurance 
programs,  expectations  about  present  and  future  market 
conditions and expected attritional losses based on modeling. 
Due  to  the  short-tail  nature  of  property  business,  reported 
loss  experience  emerges  quickly  and  ultimate  losses  are 
known in a reasonably short period of time.

losses, 

to 

is  given 

relies  on 

incurred  B-F 

In the initial reserving process for medium-tail and long-tail 
reinsurance  lines  (consisting  of  casualty,  other  specialty, 
marine  and  aviation  and  other  exposures),  the  Company 
primarily 
loss  method.  The 
the  expected 
development  of  medium-tail  and  long-tail  business  may  be 
unstable,  especially  if  there  are  high  severity  major  events, 
with  business  written  on  an  excess  of  loss  basis  typically 
having a longer tail than business written on a pro rata basis. 
As  time  passes,  for  a  given  underwriting  year,  additional 
weight 
loss 
the  paid  and 
development  methods  and  eventually  to  the  historical  paid 
and  incurred  loss  development  methods  in  the  reserving 
process.  Our  reinsurance  operations  make  a  number  of  key 
assumptions in reserving for medium-tail and long-tail lines, 
including that the pricing loss ratio is the best estimate of the 
ultimate  loss  ratio  at  the  time  the  contract  is  entered  into, 
historical  paid  and  reported  development  patterns  are  stable 
and  claims  personnel  and  underwriters’  analyses  of  our 
exposure  to  major  events  are  our  best  estimate  of  our 
exposure to the known claims on those events. The expected 
loss  ratios  used  in  our  reinsurance  operations’  initial 
reserving  process  for  medium-tail  and  long-tail  contracts 
have  varied  over  time  due  to  changes  in  pricing,  terms  and 
conditions  and  reinsurance  structure.  As  the  credibility  of 
historical experience for earlier underwriting years increases, 
the  experience  from  these  underwriting  years  is  used  in  the 
actuarial  analysis  to  determine  future  underwriting  year 
expected  loss  ratios,  adjusted  for  changes  in  pricing,  loss 
trends, terms and conditions and reinsurance structure.

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

The following tables present information on the reinsurance segment’s short-duration insurance contracts:

Casualty ($000’s)

Incurred losses and allocated loss adjustment expenses, net of reinsurance

December 31, 2020

2011
unaudited
$  152,359 

2012
unaudited
$  155,796 
  145,770 

2013
unaudited
$  149,799 
  143,950 
  168,738 

2014
unaudited
$  145,259 
  139,762 
  161,993 
  219,506 

Year ended December 31,

2015
unaudited
$  141,023 
  127,563 
  157,804 
  224,801 
  225,908 

2016
unaudited
$  138,257 
  117,551 
  151,340 
  222,220 
  224,525 
  217,499 

2017
unaudited
$  132,142 
  111,938 
  139,221 
  236,505 
  233,644 
  229,862 
  268,353 

2018
unaudited
$  129,307 
  120,655 
  137,591 
  233,033 
  240,886 
  254,032 
  253,959 
  282,010 

$ 

2,353 

$  11,509 
1,371 

$  21,684 
8,637 
2,549 

Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
$  55,027 
25,738 
23,209 
16,160 
4,490 

$  38,998 
14,875 
10,050 
3,962 

$  64,486 
36,809 
43,263 
40,949 
20,340 
5,763 

$  71,457 
48,109 
54,797 
63,636 
47,381 
25,720 
6,441 

$  76,722 
59,877 
63,415 
91,366 
71,231 
51,822 
29,414 
7,588 

2019
unaudited
$  130,769 
  123,884 
  133,857 
  242,792 
  244,861 
  268,880 
  269,434 
  296,507 
  338,581 

Total

$  82,728 
70,308 
71,150 
  114,798 
97,007 
86,989 
59,377 
31,118 
15,824 

Accident 
year
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020

2011
2012
2013
2014
2015
2016
2017
2018
2019
2020

Total
All outstanding liabilities before 2011, net of reinsurance
Liabilities for losses and loss adjustment expenses, net of reinsurance

Total of IBNR 
liabilities plus 
expected 
development on 
reported claims
16,905 
$ 
28,208 
37,566 
48,039 
63,133 
65,394 
79,858 
81,666 
178,981 
333,679 

Cumulative 
number of 
reported 
claims

N/A
N/A
N/A
N/A
N/A
N/A
N/A
N/A
N/A
N/A

2020
$  126,543 
122,312 
137,978 
243,067 
251,747 
275,966 
297,998 
286,944 
347,126 
393,328 
$ 2,483,009 

$ 

87,463 
76,287 
77,089 
135,101 
120,889 
114,096 
108,591 
106,454 
57,682 
17,822 
901,474 
303,572 
$ 1,885,107 

Property catastrophe ($000’s)

Incurred losses and allocated loss adjustment expenses, net of reinsurance

December 31, 2020

2011
unaudited
$  215,493 

2012
unaudited
$  195,232 
  150,570 

2013
unaudited
$  176,170 
  123,288 
69,044 

2014
unaudited
$  162,993 
  108,787 
49,507 
46,774 

Year ended December 31,

2015
unaudited
$  159,174 
  102,254 
37,714 
32,188 
34,895 

2016
unaudited
$  158,465 
99,998 
33,143 
26,438 
19,282 
26,671 

2017
unaudited
$  156,150 
99,178 
30,567 
23,491 
12,724 
19,556 
82,521 

2018
unaudited
$  152,082 
97,143 
29,848 
21,671 
6,643 
15,313 
49,340 
75,309 

$  63,175 

$  89,042 
25,850 

$  122,060 
70,843 
12,283 

Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
$  143,141 
90,834 
24,911 
20,635 
(3,161) 

$  137,400 
83,929 
19,701 
13,702 

$  145,774 
92,993 
26,953 
19,293 
(1,825) 
(6,752) 

$  147,929 
94,122 
28,859 
20,170 
2,660 
2,646 
30,173 

$  148,338 
94,732 
29,117 
19,786 
2,959 
3,057 
30,224 
25,505 

2019
unaudited
$  150,971 
97,252 
28,910 
20,957 
4,746 
11,487 
46,354 
63,106 
51,202 

Total

$  148,929 
95,419 
29,119 
19,993 
2,537 
4,515 
34,534 
14,232 
3,878 

Accident 
year
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020

2011
2012
2013
2014
2015
2016
2017
2018
2019
2020

Total
All outstanding liabilities before 2011, net of reinsurance
Liabilities for losses and loss adjustment expenses, net of reinsurance

Total of IBNR 
liabilities plus 
expected 
development on 
reported claims
— 
$ 
132 
(132) 
(10) 
67 
1,302 
87 
5,855 
9,545 
50,368 

Cumulative 
number of 
reported 
claims

N/A
N/A
N/A
N/A
N/A
N/A
N/A
N/A
N/A
N/A

2020
$  150,459 
96,637 
29,060 
20,845 
4,102 
9,027 
32,747 
44,448 
35,789 
273,069 
$  696,183 

$  148,403 
95,521 
29,846 
20,146 
2,630 
3,803 
24,209 
26,189 
17,393 
53,495 
421,635 
1,624 
$  276,172 

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

Property excluding property catastrophe ($000’s)

Incurred losses and allocated loss adjustment expenses, net of reinsurance

December 31, 2020

2011
unaudited
$  208,318 

2012
unaudited
$  180,624 
  156,980 

2013
unaudited
$  168,122 
  122,552 
  116,130 

2014
unaudited
$  164,414 
  124,408 
77,474 
  144,299 

Year ended December 31,

2015
unaudited
$  160,264 
  119,838 
71,100 
  118,056 
  215,856 

2016
unaudited
$  158,952 
  115,425 
66,669 
99,891 
  189,735 
  178,103 

2017
unaudited
$  156,647 
  113,201 
64,950 
91,272 
  185,288 
  147,154 
  262,387 

2018
unaudited
$  155,606 
  111,722 
64,162 
88,994 
  189,702 
  139,032 
  245,333 
  223,917 

$  47,949 

$  122,137 
26,158 

$  142,081 
78,416 
26,068 

Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
$  148,684 
  102,445 
50,208 
63,144 
75,725 

$  146,626 
93,752 
43,068 
23,641 

$  149,788 
  103,452 
53,389 
72,133 
  119,578 
33,418 

$  150,028 
  104,091 
54,202 
77,098 
  150,207 
96,174 
25,807 

$  150,302 
  103,274 
56,090 
78,753 
  161,447 
99,954 
  118,658 
29,724 

2019
unaudited
$  154,261 
  109,122 
62,949 
84,679 
  188,992 
  138,008 
  231,062 
  241,754 
  219,130 

Total

$  151,322 
  103,216 
61,601 
79,146 
  166,632 
  105,486 
  148,638 
  108,263 
43,809 

Accident 
year
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020

2011
2012
2013
2014
2015
2016
2017
2018
2019
2020

Total
All outstanding liabilities before 2011, net of reinsurance
Liabilities for losses and loss adjustment expenses, net of reinsurance

Total of IBNR 
liabilities plus 
expected 
development on 
reported claims
801 
$ 
251 
770 
2,063 
12,275 
15,986 
17,528 
18,520 
32,266 
167,596 

Cumulative 
number of 
reported 
claims

N/A
N/A
N/A
N/A
N/A
N/A
N/A
N/A
N/A
N/A

2020
$  152,753 
103,596 
63,769 
82,899 
177,928 
141,789 
223,442 
238,162 
209,696 
387,907 
$ 1,781,941 

$  150,417 
103,076 
62,591 
79,009 
160,271 
113,336 
156,523 
153,599 
125,698 
102,474 
  1,206,994 
6,125 
$  581,072 

Marine and aviation ($000’s)

Incurred losses and allocated loss adjustment expenses, net of reinsurance

December 31, 2020

2011
unaudited
$  39,359 

2012
unaudited
$  32,956 
59,117 

2013
unaudited
$  35,889 
58,956 
39,538 

2014
unaudited
$  32,436 
55,172 
38,509 
31,333 

Year ended December 31,

2015
unaudited
$  28,811 
52,428 
37,545 
29,576 
34,066 

2016
unaudited
$  27,213 
51,223 
36,101 
27,763 
37,875 
27,409 

2017
unaudited
$  27,264 
49,865 
35,993 
26,059 
31,953 
22,804 
28,868 

2018
unaudited
$  24,871 
46,183 
35,248 
24,050 
31,910 
23,622 
26,407 
28,355 

$ 

4,421 

$  12,122 
2,664 

$  16,530 
11,480 
5,109 

Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
$  15,959 
33,428 
19,075 
8,221 
11 

$  19,235 
27,623 
14,330 
4,373 

$  16,634 
35,174 
22,111 
11,872 
13,476 
(7,300) 

$  21,988 
36,379 
23,135 
12,748 
19,120 
(1,655) 
1,659 

$  21,911 
37,871 
24,427 
14,939 
20,971 
552 
6,546 
2,006 

2019
unaudited
$  23,792 
43,165 
34,806 
23,695 
30,964 
19,344 
23,878 
26,395 
49,466 

Total

$  21,973 
38,164 
24,804 
15,376 
22,773 
3,292 
9,372 
7,087 
11,015 

Accident 
year
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020

2011
2012
2013
2014
2015
2016
2017
2018
2019
2020

Total
All outstanding liabilities before 2011, net of reinsurance
Liabilities for losses and loss adjustment expenses, net of reinsurance

Total of IBNR 
liabilities plus 
expected 
development on 
reported claims
1,317 
$ 
2,228 
5,039 
5,044 
4,738 
8,230 
6,783 
7,490 
17,208 
58,896 

Cumulative 
number of 
reported 
claims

N/A
N/A
N/A
N/A
N/A
N/A
N/A
N/A
N/A
N/A

2020

$ 

23,517 
41,316 
31,087 
22,347 
28,618 
17,029 
20,853 
24,957 
55,921 
84,238 
$  349,883 

$ 

21,979 
38,257 
24,520 
16,253 
22,456 
5,900 
11,037 
11,384 
21,930 
9,339 
183,055 
16,534 
$  183,362 

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Other specialty ($000’s)

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

Incurred losses and allocated loss adjustment expenses, net of reinsurance

December 31, 2020

2011
unaudited
$  115,554 

2012
unaudited
$  100,395 
  231,531 

2013
unaudited
$  96,117 
  219,627 
  259,594 

2014
unaudited
$  94,512 
  209,355 
  232,427 
  283,138 

Year ended December 31,

2015
unaudited
$  92,703 
  203,114 
  222,046 
  263,653 
  217,666 

2016
unaudited
$  91,334 
  200,945 
  218,354 
  265,417 
  208,927 
  231,160 

2017
unaudited
$  90,727 
  203,898 
  219,314 
  258,595 
  207,220 
  228,501 
  282,024 

2018
unaudited
$  88,820 
  202,085 
  216,861 
  253,373 
  204,179 
  222,788 
  271,084 
  338,298 

$  29,717 

$  59,715 
47,484 

$  72,298 
  126,138 
58,962 

Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
$  80,642 
  161,073 
  149,617 
  151,115 
56,438 

$  77,018 
  149,753 
  122,813 
71,006 

$  82,468 
  169,096 
  166,100 
  187,560 
  118,770 
67,730 

$  84,815 
  173,202 
  175,892 
  201,189 
  143,690 
  143,624 
76,847 

$  85,960 
  177,742 
  181,279 
  207,965 
  150,969 
  168,425 
  171,632 
75,395 

2019
unaudited
$  89,163 
  196,309 
  216,579 
  255,341 
  204,458 
  217,054 
  260,051 
  334,567 
  378,545 

Total

$  85,643 
  179,614 
  188,746 
  219,234 
  160,243 
  180,542 
  201,378 
  211,954 
84,416 

Accident 
year
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020

2011
2012
2013
2014
2015
2016
2017
2018
2019
2020

Total
All outstanding liabilities before 2011, net of reinsurance
Liabilities for losses and loss adjustment expenses, net of reinsurance

Total of IBNR 
liabilities plus 
expected 
development on 
reported claims
1,058 
$ 
4,635 
10,351 
15,127 
19,996 
18,179 
40,904 
53,316 
80,438 
259,496 

Cumulative 
number of 
reported 
claims

N/A
N/A
N/A
N/A
N/A
N/A
N/A
N/A
N/A
N/A

2020

$ 

87,648 
187,908 
210,455 
250,825 
201,046 
223,777 
259,041 
326,027 
358,997 
551,374 
$ 2,657,098 

$ 

85,854 
179,943 
189,147 
221,978 
168,314 
192,947 
209,005 
243,257 
167,055 
101,559 
  1,759,059 
8,956 
$  906,995 

The following table presents the average annual percentage payout of incurred losses and allocated loss adjustment expenses by 
age, net of reinsurance, as of December 31, 2020: 

Casualty
Property catastrophe
Property excluding property catastrophe
Marine and aviation
Other specialty

Mortgage Segment

Average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance

Year 1

Year 2

Year 3

Year 4

Year 5

Year 6

Year 7

Year 8

Year 9

Year 10

 2.4 %
 20.5 %
 26.4 %
 6.5 %
 26.9 %

 7.2 %
 30.2 %
 39.5 %
 27.2 %
 33.9 %

 11.2 %
 25.1 %
 12.8 %
 19.1 %
 12.3 %

 12.2 %
 2.9 %
 5.2 %
 10.0 %
 5.2 %

 10.3 %
 (1.2) %
 2.3 %
 4.2 %
 4.3 %

 8.4 %
 1.4 %
 0.2 %
 2.2 %
 3.1 %

 7.3 %
 0.7 %
 2.0 %
 7.9 %
 2.4 %

 5.7 %
 1.2 %
 0.6 %
 (0.2) %
 0.8 %

 4.8 %
 0.2 %
 0.3 %
 0.2 %
 (0.1) %

 3.7 %
 (0.3) %
 (0.6) %
 — %
 0.2 %

The  Company’s  mortgage  segment  includes  (1)  direct 
mortgage insurance in the U.S., (2) direct mortgage insurance 
in  Europe,  (3)  global  mortgage  reinsurance  and  (4) 
participation in various GSE credit risk-sharing products. The 
latter three categories along with second lien and student loan 
exposures are excluded on the basis of insignificance for the 
purposes  of  presenting  disclosures  related  to  short  duration 
contracts.

For  direct  mortgage  insurance  business,  the  Company 
establishes case reserves for loans that have been reported as 
delinquent  by  loan  servicers  as  well  as  those  that  are 
delinquent but not reported (IBNR reserves). The Company’s 
U.S.  mortgage  insurance  operations  also  reserve  for  the 
expenses  of  adjusting  claims  related  to  these  delinquencies. 
The  trigger  that  creates  a  case  reserve  estimate  is  that  an 
insured  loan  is  reported  to  us  as  being  two  payments  in 
arrears.  The  actuarial  reviews  and  documentation  created  in 
the  reserving  process  are  completed  in  accordance  with 

standards.  The 

generally  accepted  actuarial 
selected 
assumptions reflect actuarial judgment based on the analysis 
of historical data and experience combined with information 
concerning 
judicial, 
regulatory and other influences on ultimate claim settlements.

current  underwriting, 

economic, 

Because  the  reserving  process  requires  the  Company  to 
forecast  future  conditions,  it  is  inherently  uncertain  and 
requires  significant  judgment  and  estimation.  The  use  of 
different  estimates  would  result  in  the  establishment  of 
different  reserve  levels.  Additionally,  changes  in  estimates 
are  likely  to  occur  from  period  to  period  as  economic 
conditions  change,  and  the  ultimate  liability  may  vary 
significantly  from  the  estimates  used.  Major  risk  factors 
include  (but  are  not  limited  to)  changes  in  home  prices  and 
borrower equity, which can limit the borrower’s ability to sell 
the  property  and  satisfy  the  outstanding  loan  balance,  and 
changes  in  unemployment,  which  can  affect  the  borrower’s 
income and ability to make mortgage payments. The unique 
nature  of  the  COVID-19  pandemic,  with  no  historical 

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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

precedent,  adds  further  uncertainty 
estimates.

to  current  reserve 

The  lead  actuarial  methodology  used  by  the  Company  is  a 
frequency-severity method based on the inventory of pending 
delinquencies.  Each  month  the  loan  servicers  report  the 
delinquency status of each insured loan. Using the frequency-
severity method allows the Company to take advantage of its 
knowledge  of  the  number  of  delinquent  loans  and  the 
coverage  provided  (“risk  size”)  on  those  loans  by  directly 
relating the reserves to these amounts. The delinquencies are 
grouped  into  homogeneous  cohorts  for  analysis,  reflecting 
product  type  and  age  of  delinquency.  A  claim  rate  is  then 
developed  for  each  cohort  which  represents  the  frequency 
with  which  the  delinquencies  become  claims.  The  claim 
frequency  rates  are  based  on  an  analysis  of  the  patterns  of 
emerging cure counts and claim counts, the foreclosure status 
of  the  pending  delinquencies,  the  product  and  geographical 
mix  of  the  delinquencies  and  our  view  of  future  economic 
and  claim  conditions,  which  include  trends  in  home  prices 
and unemployment. Claim rates can vary materially by age of 
delinquency,  depending  on  the  mix  of  delinquencies  and 
economic conditions.

Claim  size  severity  estimates  are  determined  by  examining 
the  risk  sizes  on  the  delinquent  loans  and  estimating  the 
portion of risk that will be paid, as well as any expenses. This 
is done based on a review of historical development patterns, 
an assessment of economic conditions and the level of equity 
the  borrowers  may  have  in  their  homes,  as  well  as 
considering  economic  conditions  and 
loss  mitigation 
opportunities. Mortgage insurance is generally not subject to 
large  claim  sizes,  as  with  some  other  lines  of  insurance.  A 
claim  size  over  $250,000  is  rare,  and  this  helps  reduce  the 
volatility of claim size estimates.

The  claim  rate  and  claim  size  assumptions  generate  case 
reserves  for  the  population  of  reported  delinquencies.  The 
reserve  for  unreported  delinquencies  (included  in  IBNR 
reserves)  is  estimated  by  looking  at  historical  patterns  of 
reporting. Claim rates and claim sizes can then be assigned to 
estimated  unreported  delinquencies  using  assumptions  made 
in the establishment of case reserves.

Mortgage insurance Loss Reserves are short-tail, in the sense 
that  the  vast  majority  of  delinquencies  are  resolved  within 
two  years  of  being  reported.  Due  to  the  forbearances  and 
foreclosure  moratoriums  associated  with  COVID-19, 
settlement  timelines  may  be  extended.  While  reserves  are 
initially analyzed by reserve cohort, as described above, they 
are also rolled up by underwriting year to ensure that reserve 
assumptions  are  consistent  with  the  performance  of  the 
underwriting year. The accuracy of prior reserve assumptions 
is also checked in hindsight to determine if adjustments to the 
assumptions are needed.

Loss  Reserves  for  the  Company’s  mortgage  reinsurance 
business  and  GSE  credit-risk  sharing 
transactions  are 
comprised  of  case  reserves  and  IBNR  reserves.  The 
Company’s  mortgage  reinsurance  operations  receive  reports 
of  delinquent 
loans  and  claims  notices  from  ceding 
companies  and  record  case  reserves  based  upon  the  amount 
of  reserves  recommended  by  the  ceding  company.  In 
addition, specific claim and delinquency information reported 
by  ceding  companies  is  used  in  the  process  of  estimating 
IBNR reserves.

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

The  tables  below  include  the  acquired  business  of  United  Guaranty  Corporation  (“UGC”)  (including  UGRIC),  across  all 
periods  presented.  Consistent  with  prior  practice,  the  Company  provides  accident  years  2012  and  forward  in  the  disclosures 
below. The following table presents information on the mortgage segment’s short-duration insurance contracts:

Direct mortgage insurance business in the U.S. ($000’s except claim count)

Incurred losses and allocated loss adjustment expenses, net of reinsurance

Year ended December 31,

Accident 
year

2012
unaudited

2013
unaudited

2014
unaudited

2015
unaudited

2016
unaudited

2017
unaudited

2018
unaudited

2019
unaudited

2020

2012

2013

2014

2015

2016

2017

2018

2019

2020

2012

2013

2014

2015

2016

2017

2018

2019

2020

$ 

520,835 

$ 

480,592 

$ 

475,317 

$ 

469,238 

$ 

467,296 

$ 

459,467 

$ 

458,065 

$ 

456,286 

$ 

456,331 

469,311 

419,668 

316,095 

411,793 

297,151 

222,790 

405,809 

279,434 

197,238 

183,556 

395,693 

266,027 

198,001 

170,532 

179,376 

393,149 

265,992 

194,677 

148,715 

132,220 

132,318 

390,987 

261,091 

189,235 

140,608 

107,255 

96,357 

108,424 

391,062 

262,682 

190,913 

142,392 

108,181 

89,120 

119,253 

420,003 

Total

$  2,179,937 

Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance

(106,065) 

186,605 

41,447 

327,605 

203,957 

20,099 

395,695 

308,956 

129,159 

16,159 

426,024 

353,189 

201,925 

92,431 

11,462 

441,577 

373,909 

233,879 

151,222 

72,201 

8,622 

448,151 

382,200 

247,038 

171,337 

113,357 

48,112 

3,966 

452,348 

386,853 

254,175 

180,321 

127,286 

78,650 

31,478 

2,899 

453,587 

387,894 

256,285 

183,472 

131,161 

87,317 

50,135 

20,105 

1,040 

1,570,996 

December 31, 2020

Total of 
IBNR 
liabilities plus 
expected 
development 
on reported 
claims

5 

3 

7 

4 

7 

630 

1,281 

2,921 

15,879 

Cumulative 
number of 
paid claims

15,083 

9,471 

6,290 

4,543 

3,411 

2,429 

1,512 

566 

32 

All outstanding liabilities before 2012, net of reinsurance

14,504 

Liabilities for losses and loss adjustment expenses, net of reinsurance

$ 

623,445 

The following table presents the average annual percentage payout of incurred losses and allocated loss adjustment expenses by 
age, net of reinsurance, as of December 31, 2020: 

Average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance

U.S. Primary

 3.0 %

 39.0 %

 27.8 %

 11.1 %

 4.9 %

 2.5 %

 1.1 %

 0.6 %

 0.3 %

Year 1

Year 2

Year 3

Year 4

Year 5

Year 6

Year 7

Year 8

Year 9

Other Segment

Loss  Reserves  for  the  ‘other’  segment  (i.e.,  Watford)  are 
comprised of case reserves, ACRs and IBNR reserves. For all 
business  assumed  by  Watford, 
the  Company  acts  as 
reinsurance  underwriting  manager,  provides  actuarial  and 
risk  management  services  and  recommends  a  level  of  Loss 
Reserves  to  Watford.  The  Company  does  not  guarantee  or 
provide  credit  support  for  Watford,  and  the  Company’s 
financial  exposure  to  Watford  is  limited  to  its  investment  in 
Watford’s  common  and  preferred  shares  and  counterparty 
the 
credit  risk  (mitigated  by  collateral)  arising  from 
reinsurance transactions. The estimation of Loss Reserves for 
Watford is subject to the same risk factors as the estimation 
of  Loss  Reserves  for  the  Company’s  insurance,  reinsurance 

and  mortgage  segments  as  described  earlier.  Watford 
performs  its  own  reserve  reviews  and  sets  its  reserves 
the  Company 
independently.  As  noted  previously, 
determined 
the  ‘other’  segment  are 
that  amounts 
insignificant for the purposes of these footnote disclosures.

in 

For the year ended December 31, 2020, the Company did not 
make  any  significant  changes  in  its  methodologies  or 
assumptions  as  described  above  (a) 
the 
presented  amounts  of  IBNR  reserves,  (b)  for  expected 
development on case reserves.

to  determine 

The  Company  measures  claim  frequency  information  on  an 
individual  claim  count  basis.  Claim  counts  are  provided  for 
insurance  and  mortgage  segments,  where  reliable 
the 

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

individual 

information  is  available.  For  insurance  business,  any  claim 
which  is  reported  to  the  Company  is  included  in  the  count, 
even  if  it  is  subsequently  settled  without  liability  to  the 
Company.  The  Company  does  not  include  claim  count 
information  for  losses  from  U.S.  insurance  pool  business 
is  unavailable  and 
where 
impracticable 
to  obtain.  For  mortgage  business,  only 
delinquencies  which  subsequently  become  claims  are 
included in the claim count. For reinsurance business, claim 
counts  are  not  provided.  A  significant  amount  of  the 
Company’s reinsurance business is written on a proportional 
basis,  for  which  individual  loss  information  is  typically 
unavailable and impracticable to obtain.

information 

loss 

For the year ended December 31, 2020, the Company did not 
make  any  significant  changes  in  its  methodologies  or 
assumptions  as  described  above  to  calculate  the  cumulative 
claim frequency.

The  following  table  represents  a  reconciliation  of  the 
disclosures of net incurred and paid loss development tables 
to  the  reserve  for  losses  and  loss  adjustment  expenses  at 
December 31, 2020:

Net outstanding liabilities
Insurance

Property, energy, marine and aviation
Third party occurrence business
Third party claims-made business
Multi-line and other specialty

Reinsurance
Casualty
Property catastrophe
Property excluding property catastrophe
Marine and aviation
Other specialty

Mortgage

U.S. primary

Other short duration lines not included in disclosures (1)

Total for short duration lines

Unpaid losses and loss adjustment expenses recoverable
Insurance

Property, energy, marine and aviation
Third party occurrence business
Third party claims-made business
Multi-line and other specialty

Reinsurance
Casualty
Property catastrophe
Property excluding property catastrophe
Marine and aviation
Other specialty

Mortgage

U.S. primary

Other short duration lines not included in disclosures (2)
Intercompany eliminations

Total for short duration lines

Lines other than short duration
Discounting
Unallocated claims adjustment expenses

December 31, 
2020

$ 
492,588 
  2,558,285 
  1,377,179 
  1,273,791 

  1,885,107 
276,172 
581,072 
183,362 
906,995 

623,445 
  1,765,397 
  11,923,393 

331,817 
  1,272,034 
808,238 
246,915 

536,809 
266,946 
70,108 
63,781 
317,011 

52,016 
  1,090,486 
(718,507) 
  4,337,654 

75,369 
(23,326) 
200,839 
252,882 

Total gross reserves for losses and loss adjustment 
expenses

$ 16,513,929 

(1) 
(2) 

Includes net outstanding liabilities of $1.2 billion for the ‘other’ segment.
Includes  unpaid  loss  and  loss  adjustment  expenses  recoverable  of  $153.1 
million related to the loss portfolio transfer reinsurance agreement.

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

7.  Allowance for Expected Credit Losses

Premiums Receivable

The following table provides a roll forward of the allowance 
for  expected  credit  losses  of  the  Company’s  premium 
receivables:

December 31, 2020

Premium 
Receivables, 
Net of 
Allowance

Allowance for 
Expected 
Credit Losses

Balance at beginning of period

$ 

1,778,717  $ 

21,003 

Cumulative effect of accounting 
change (1)

Change for provision of expected 
credit losses (2)

Balance at end of period

$ 

2,064,586  $ 

6,539 

10,239 

37,781 

(1)  Adoption  of  ASU  2016-13,  “Financial  Instruments  -  Credit  Losses 
(Topic 326)” See note 3.

(2) Amounts deemed uncollectible are written-off in operating expenses. For 
the 2020 period, amounts written off totaled $2.8 million.

Reinsurance Recoverables

financially 

The  Company  monitors  the  financial  condition  of  its 
reinsurers  and  attempts  to  place  coverages  only  with 
substantial, 
the 
Company  has  not  experienced  any  material  credit  losses  to 
date, an inability of its reinsurers or retrocessionaires to meet 
their  obligations  to  it  over  the  relevant  exposure  periods  for 
any  reason  could  have  a  material  adverse  effect  on  its 
financial condition and results of operations. 

sound  carriers.  Although 

The  following  table  summarizes  the  Company’s  reinsurance 
recoverables on paid and unpaid losses (not including ceded 
unearned premiums) at December 31, 2020 and 2019:

Reinsurance recoverable on unpaid and 
paid losses and loss adjustment expenses

% due from carriers with A.M. Best rating 
of “A-” or better

% due from all other carriers with no A.M. 
Best rating (1)

Largest balance due from any one carrier 
as % of total shareholders’ equity

December 31,

2020

2019

$  4,500,802 

$  4,346,816 

 63.9 %

 61.2 %

 36.1 %

 38.8 %

 1.8 %

 1.7 %

(1)  Over 94% of such amount is collateralized through reinsurance trusts, 

funds withheld arrangements, letters of credit or other.

Contractholder Receivables

The following table provides a roll forward of the allowance 
for  expected  credit  losses  of  the  Company’s  contractholder 
receivables:

December 31, 2020

Contractholder 
Receivables, 
Net of 
Allowance

Allowance for 
Expected 
Credit Losses

Balance at beginning of period

$ 

2,119,460  $ 

0 

Cumulative effect of accounting 
change (1)

Change for provision of expected 
credit losses

Balance at end of period

$ 

1,986,924  $ 

6,663 

1,975 

8,638 

(1)  Adoption  of  ASU  2016-13,  “Financial  Instruments  -  Credit  Losses 
(Topic 326)” See note 3.

The following table provides a roll forward of the allowance 
for  expected  credit  losses  of  the  Company’s  reinsurance 
recoverables:

8.  Reinsurance

December 31, 2020

Reinsurance 
Recoverables, 
Net of 
Allowance

Allowance for 
Expected 
Credit Losses

Balance at beginning of period

$ 

4,346,816  $ 

1,364 

Cumulative effect of accounting 
change (1)

Change for provision of expected 
credit losses

Balance at end of period

$ 

4,500,802  $ 

12,010 

(1,738) 

11,636 

(1)  Adoption  of  ASU  2016-13,  “Financial  Instruments  -  Credit  Losses 
(Topic 326)” See note 3.

In  the  normal  course  of  business,  the  Company’s  insurance 
subsidiaries cede a portion of their premium through pro rata 
and  excess  of  loss  reinsurance  agreements  on  a  treaty  or 
facultative  basis.  The  Company’s  reinsurance  subsidiaries 
participate in “common account” retrocessional arrangements 
for  certain  pro  rata  treaties.  Such  arrangements  reduce  the 
effect  of  individual  or  aggregate  losses  to  all  companies 
participating  on  such  treaties,  including  the  reinsurers,  such 
as  the  Company’s  reinsurance  subsidiaries,  and  the  ceding 
company. 
reinsurance 
subsidiaries may purchase retrocessional coverage as part of 
their  risk  management  program.  The  Company’s  mortgage 
subsidiaries  cede  a  portion  of  their  premium  through  quota 
share arrangements and enter into various aggregate excess of 
loss  mortgage  reinsurance  agreements  with  various  special 
purpose reinsurance companies. Reinsurance recoverables are 
recorded  as  assets,  predicated  on  the  reinsurers’  ability  to 
meet  their  obligations  under  the  reinsurance  agreements.  If 
the reinsurers are unable to satisfy their obligations under the 

the  Company’s 

addition, 

In 

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

agreements, 
subsidiaries would be liable for such defaulted amounts.

the  Company’s 

insurance  or 

reinsurance 

The  effects  of  reinsurance  on  the  Company’s  written  and 
earned  premiums  and  losses  and  loss  adjustment  expenses 
with unaffiliated reinsurers were as follows:

Year Ended December 31,
2019

2018

2020

Premiums Written
Direct
Assumed
Ceded
Net

Premiums Earned
Direct
Assumed
Ceded
Net

Losses and Loss 
Adjustment Expenses
Direct
Assumed
Ceded
Net

$  6,553,910  $  5,681,523  $  4,838,902 
2,122,102 
(1,614,257) 
$  7,437,716  $  6,039,067  $  5,346,747 

3,534,158 
(2,650,352) 

2,457,437 
(2,099,893) 

$  6,361,451  $  5,447,829  $  4,799,842 
1,988,038 
(1,555,905) 
$  6,991,935  $  5,786,498  $  5,231,975 

2,337,950 
(1,999,281) 

3,213,873 
(2,583,389) 

$  4,392,392  $  2,953,072  $  2,472,133 
1,307,317 
(889,344) 
$  4,689,599  $  3,133,452  $  2,890,106 

2,204,323 
(1,907,116) 

1,602,528 
(1,422,148) 

Bellemeade Re
The  Company  has  entered  into  various  aggregate  excess  of 
loss  mortgage  reinsurance  agreements  with  various  special 
purpose  reinsurance  companies  domiciled  in  Bermuda  (the 
“Bellemeade  Agreements”).  For  the  respective  coverage 
periods,  the  Company  will  retain  the  first  layer  of  the 
respective  aggregate 
the  special  purpose 
losses  and 
reinsurance companies will provide second layer coverage up 
to the outstanding coverage amount. The Company will then 
retain losses in excess of the outstanding coverage limit. The 
aggregate excess of loss reinsurance coverage decreases over 
a  ten-year  period  as  the  underlying  covered  mortgages 
amortize. 

The following table summarizes the respective coverages and 
retentions at December 31, 2020:

December 31, 2020

Current
Coverage

Initial 
Coverage at 
Issuance

Remaining 
Retention, 
Net
125,953 
123,690 
305,606 
129,874 
116,530 
162,457 
181,036 
118,102 
754,782 
239,278 
171,580 
147,466 
$ 5,909,497  $ 3,967,473  $ 2,576,354 

145,573 
250,095 
108,395 
302,563 
219,256 
398,316 
528,084 
468,737 
308,458 
449,167 
451,816 
337,013 

368,114 
374,460 
653,278 
506,110 
341,790 
621,022 
700,920 
577,267 
528,540 
449,167 
451,816 
337,013 

Bellemeade 2017-1 Ltd. (1)
Bellemeade 2018-1 Ltd. (2)
Bellemeade 2018-2 Ltd. (3)
Bellemeade 2018-3 Ltd. (4)
Bellemeade 2019-1 Ltd. (5)
Bellemeade 2019-2 Ltd. (6)
Bellemeade 2019-3 Ltd. (7)
Bellemeade 2019-4 Ltd. (8)
Bellemeade 2020-1 Ltd. (9)
Bellemeade 2020-2 Ltd. (10)
Bellemeade 2020-3 Ltd. (11)
Bellemeade 2020-4 Ltd. (12)

Total

(1) 

(2) 

(3) 

(4) 

(5) 

(6) 

(7) 
(8) 

Issued  in  October  2017,  covering  in-force  policies  issued  between 
January 1, 2017 and June 30, 2017.
Issued in April 2018, covering in-force policies issued between July 1, 
2017 and December 31, 2017.
Issued in August 2018, covering in-force policies issued between April 
1, 2013 and December 31, 2015.
Issued  in  October  2018,  covering  in-force  policies  issued  between 
January 1, 2018 and June 30, 2018.
Issued  in  March  2019,  covering  in-force  policies  primarily  issued 
between  2005  to  2008  under  United  Guaranty  Residential  Insurance 
Company  (“UGRIC”);  as  well  as  policies  issued  through  2015  under 
both UGRIC and Arch Mortgage Insurance Company.
Issued in April 2019, covering in-force policies issued between July 1, 
2018 and December 31, 2018.
Issued in July 2019, covering in-force policies issued in 2016.
Issued  in  October  2019,  covering  in-force  policies  issued  between 
January 1, 2019 and June 30, 2019.

(9)   Issued in June 2020, covering in-force policies issued between July 1, 
2019  and  December  31,  2019.  $450  million  was  directly  funded  by 
Bellemeade  2020-1  Ltd.  with  an  additional  $79  million  of  capacity 
provided directly to Arch MI U.S. by a separate panel of reinsurers. 
(10)  Issued  in  September  2020,  covering  in-force  policies  issued  between 
January 1, 2020 and May 31, 2020. $423 million was directly funded 
by Bellemeade 2020-2 Ltd. with an additional $26 million of capacity 
provided directly to Arch MI U.S. by a separate panel of reinsurers.
(11)  Issued  in  November  2020,  covering  in-force  policies  issued  between 
June 1, 2020 and August 31, 2020. $418 million was directly funded by 
Bellemeade  2020-3  Ltd.  with  an  additional  $34  million  of  capacity 
provided directly to Arch MI U.S. by a separate panel of reinsurers.
(12)  Issued  in  December  2020,  covering  in-force  policies  issued  between 
July 1, 2019 and December 31, 2019. $321 million was directly funded 
by Bellemeade 2020-4 Ltd. with an additional $16 million of capacity 
provided directly to Arch MI U.S. by a separate panel of reinsurers.

See  Note  12,  “Variable  Interest  Entity  and  Noncontrolling 
Interests.”

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9. 

Investment Information

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

At December 31, 2020, total investable assets of $29.5 billion included $26.9 billion held by the Company and $2.7 billion 
attributable to Watford.

Available For Sale Investments

The following table summarizes the fair value and cost or amortized cost of the Company’s securities classified as available for 
sale:

December 31, 2020
Fixed maturities (1):
Corporate bonds
Mortgage backed securities
Municipal bonds
Commercial mortgage backed securities
U.S. government and government agencies
Non-U.S. government securities
Asset backed securities

Total

Short-term investments

Total

December 31, 2019
Fixed maturities (1):
Corporate bonds
Mortgage backed securities
Municipal bonds
Commercial mortgage backed securities
U.S. government and government agencies
Non-U.S. government securities
Asset backed securities

Total

Short-term investments

Total

Estimated
Fair 
Value

Gross 
Unrealized 
Gains

Gross 
Unrealized 
Losses

Allowance for 
Expected Credit 
Losses (2)

Cost or
Amortized
Cost

$ 

$ 

$ 

$ 

7,856,571  $ 
630,001 
494,522 
389,900 
5,557,077 
2,433,733 
1,634,804 
18,996,608 
1,924,922 
20,921,530  $ 

6,406,591  $ 
562,309 
881,926 
733,108 
4,916,592 
2,078,757 
1,683,753 
17,263,036 
956,546 
18,219,582  $ 

414,247  $ 
8,939 
27,291 
8,722 
22,612 
153,891 
19,225 
654,927 
2,693 
657,620  $ 

191,889  $ 
9,669 
24,628 
14,951 
36,600 
48,549 
24,017 
350,303 
811 
351,114  $ 

(34,388)  $ 
(5,028) 
(3,835) 
(2,954) 
(12,611) 
(8,060) 
(10,715) 
(77,591) 
(2,063) 
(79,654)  $ 

(12,793) 
(931) 
(2,213) 
(2,330) 
(10,134) 
(20,330) 
(4,724) 
(53,455) 
(1,548) 
(55,003) 

(896)  $ 
(278) 
(11) 
(122) 
— 
— 
(1,090) 
(2,397) 
— 
(2,397)  $ 

7,477,608 
626,368 
471,077 
384,254 
5,547,076 
2,287,902 
1,627,384 
18,421,669 
1,924,292 
20,345,961 

$ 

$ 

6,227,495 
553,571 
859,511 
720,487 
4,890,126 
2,050,538 
1,664,460 
16,966,188 
957,283 
17,923,471 

(1) 

In securities lending transactions, the Company receives collateral in excess of the fair value of the fixed maturities pledged. For purposes of this table, the 
Company has excluded the collateral received under securities lending, at fair value and included the securities pledged under securities lending, at fair 
value. See “—Securities Lending Agreements.”

(2)    Effective  January  1,  2020,  the  Company  adopted  ASU  2016-13  and  as  a  result  any  credit  impairment  losses  on  the  Company’s  available-for-sale 

investments are recorded as an allowance, subject to reversal. See note 3.

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

The  following  table  summarizes,  for  all  available  for  sale  securities  in  an  unrealized  loss  position,  the  fair  value  and  gross 
unrealized loss by length of time the security has been in a continual unrealized loss position:

Less than 12 Months

12 Months or More

Total

Estimated 
Fair
Value

Gross 
Unrealized 
Losses

Estimated 
Fair
Value

Gross 
Unrealized 
Losses

Estimated 
Fair
Value

Gross 
Unrealized 
Losses

December 31, 2020

Fixed maturities (1):
Corporate bonds
Mortgage backed securities
Municipal bonds
Commercial mortgage backed securities
U.S. government and government agencies
Non-U.S. government securities
Asset backed securities

Total

Short-term investments

Total

December 31, 2019

Fixed maturities (1):
Corporate bonds
Mortgage backed securities
Municipal bonds
Commercial mortgage backed securities
U.S. government and government agencies
Non-U.S. government securities
Asset backed securities

Total

Short-term investments

Total

$ 

$ 

$ 

$ 

747,442  $ 
284,619 
67,937 
126,624 
1,285,907 
543,844 
634,470 
3,690,843 
97,920 
3,788,763  $ 

(33,086)  $ 
(4,788) 
(3,835) 
(2,916) 
(12,611) 
(7,658) 
(9,110) 
(74,004) 
(2,063) 
(76,067)  $ 

3,934  $ 
3,637 
— 
2,655 
— 
2,441 
57,737 
70,404 
— 
70,404  $ 

(1,302)  $ 
(240) 
— 
(38) 
— 
(402) 
(1,605) 
(3,587) 
— 
(3,587)  $ 

751,376  $ 
288,256 
67,937 
129,279 
1,285,907 
546,285 
692,207 
3,761,247 
97,920 
3,859,167  $ 

675,131  $ 
102,887 
220,296 
147,290 
1,373,127 
1,224,243 
441,522 
4,184,496 
95,777 
4,280,273  $ 

(12,350)  $ 
(927) 
(2,213) 
(2,302) 
(10,089) 
(20,163) 
(3,334) 
(51,378) 
(1,548) 
(52,926)  $ 

37,671  $ 
203 
— 
2,683 
32,058 
37,610 
48,313 
158,538 
— 
158,538  $ 

(443)  $ 
(4) 
— 
(28) 
(45) 
(167) 
(1,390) 
(2,077) 
— 
(2,077)  $ 

712,802  $ 
103,090 
220,296 
149,973 
1,405,185 
1,261,853 
489,835 
4,343,034 
95,777 
4,438,811  $ 

(34,388) 
(5,028) 
(3,835) 
(2,954) 
(12,611) 
(8,060) 
(10,715) 
(77,591) 
(2,063) 
(79,654) 

(12,793) 
(931) 
(2,213) 
(2,330) 
(10,134) 
(20,330) 
(4,724) 
(53,455) 
(1,548) 
(55,003) 

(1) 

In securities lending transactions, the Company receives collateral in excess of the fair value of the fixed maturities pledged. For purposes of this table, the 
Company has excluded the collateral received and reinvested and included the fixed maturities pledged. See “—Securities Lending Agreements.”

At December 31, 2020, on a lot level basis, approximately 2,320 security lots out of a total of approximately 11,180 security 
lots were in an unrealized loss position and the largest single unrealized loss from a single lot in the Company’s fixed maturity 
portfolio  was  $0.9  million.  The  Company  believes  that  such  securities  were  temporarily  impaired  at  December  31,  2020.  At 
December 31, 2019, on a lot level basis, approximately 2,230 security lots out of a total of approximately 9,590 security lots 
were  in  an  unrealized  loss  position  and  the  largest  single  unrealized  loss  from  a  single  lot  in  the  Company’s  fixed  maturity 
portfolio was $0.9 million.

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

The contractual maturities of the Company’s fixed maturities and fixed maturities pledged under securities lending agreements 
are  shown  in  the  following  table.  Expected  maturities,  which  are  management’s  best  estimates,  will  differ  from  contractual 
maturities because borrowers may have the right to call or prepay obligations with or without call or prepayment penalties.

Maturity
Due in one year or less
Due after one year through five years
Due after five years through 10 years
Due after 10 years

Mortgage backed securities
Commercial mortgage backed securities
Asset backed securities

Total (1)

December 31, 2020

December 31, 2019

Estimated 
Fair Value

Amortized 
Cost

Estimated 
Fair Value

Amortized 
Cost

$ 

348,200  $ 

339,951  $ 

428,659  $ 

10,629,959 
4,881,564 
482,180 
16,341,903 
630,001 
389,900 
1,634,804 
18,996,608  $ 

10,340,819 
4,654,754 
448,139 
15,783,663 
626,368 
384,254 
1,627,384 
18,421,669  $ 

10,126,403 
3,317,535 
411,269 
14,283,866 
562,309 
733,108 
1,683,753 
17,263,036  $ 

$ 

423,617 
9,996,206 
3,219,567 
388,280 
14,027,670 
553,571 
720,487 
1,664,460 
16,966,188 

(1) 

In securities lending transactions, the Company receives collateral in excess of the fair value of the fixed maturities pledged. For purposes of this table, the 
Company has excluded the collateral received and reinvested and included the fixed maturities pledged. See “—Securities Lending Agreements.”

Securities Lending Agreements

The  Company  enters  into  securities  lending  agreements  with  financial  institutions  to  enhance  investment  income  whereby  it 
loans certain of its securities to third parties, primarily major brokerage firms, for short periods of time through a lending agent. 
The Company maintains legal control over the securities it lends (shown as ‘Securities pledged under securities lending, at fair 
value’ on the Company’s balance sheet), retains the earnings and cash flows associated with the loaned securities and receives a 
fee from the borrower for the temporary use of the securities. An indemnification agreement with the lending agent protects the 
Company in the event a borrower becomes insolvent or fails to return any of the securities on loan to the Company.

The  Company  receives  collateral  (shown  as  ‘Collateral  received  under  securities  lending,  at  fair  value’  on  the  Company’s 
balance sheet) in the form of cash or U.S. government and government agency securities. At December 31, 2020, the fair value 
of the cash collateral received on securities lending was nil and the fair value of security collateral received was $301.1 million. 
At December 31, 2019, the fair value of the cash collateral received on securities lending was $81.2 million and the fair value of 
security collateral received was $307.2 million. 

The Company’s securities lending transactions were accounted for as secured borrowings with significant investment categories 
as follows:

Remaining Contractual Maturity of the Agreements

Overnight and 
Continuous

Less than 30 
Days

30-90 Days

90 Days or 
More

Total

December 31, 2020

U.S. government and government agencies

$ 

142,317  $ 

—  $ 

139,290  $ 

—  $ 

281,607 

Corporate bonds

Equity securities

Total

3,021 

16,461 

— 

— 

— 

— 

— 

— 

3,021 

16,461 

$ 

161,799  $ 

—  $ 

139,290  $ 

—  $ 

301,089 

Gross amount of recognized liabilities for securities lending in offsetting disclosure in Note 11

Amounts related to securities lending not included in offsetting disclosure in Note 11

— 

$ 

301,089 

December 31, 2019
U.S. government and government agencies

Corporate bonds

Equity securities

Total

$ 

240,332  $ 

—  $ 

115,973  $ 

—  $ 

356,305 

2,570 

29,491 

— 

— 

— 

— 

— 

— 

2,570 

29,491 

$ 

272,393  $ 

—  $ 

115,973  $ 

—  $ 

388,366 

Gross amount of recognized liabilities for securities lending in offsetting disclosure in Note 11

Amounts related to securities lending not included in offsetting disclosure in Note 11

— 

$ 

388,366 

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Equity Securities, at Fair Value

At  December  31,  2020,  the  Company  held  $1.4  billion  of 
equity securities, at fair value, compared to $838.9 million at 
December  31,  2019.  Pursuant  to  applicable  accounting 
guidance,  changes  in  fair  value  on  equity  securities  are 
recorded through net income effective January 1, 2018.

Other Investments

The  following  table  summarizes  the  Company’s  other 
investments and other investable assets:

Fixed maturities
Other investments
Short-term investments
Equity securities

Investments accounted for using the fair 
value option

Other investable assets (1)

Total other investments

December 31,

$ 

2020
843,354 
2,331,885 
557,008 
92,549 

$ 

2019
754,452 
2,429,316 
377,014 
102,695 

3,824,796 

3,663,477 

500,000 

— 

$  4,324,796 

$  3,663,477 

(1)  Participation interests in a receivable of a reverse repurchase agreement.

The  following  table  summarizes  the  Company’s  other 
investments, as detailed in the previous table, by strategy:

Term loan investments
Lending
Credit related funds
Energy
Investment grade fixed income
Infrastructure
Private equity
Real estate

Total

December 31,

2020
1,231,731 
572,636 
90,780 
65,813 
138,646 
165,516 
48,750 
18,013 

2019
1,326,018 
602,841 
123,020 
97,402 
151,594 
61,786 
49,376 
17,279 
$  2,331,885  $  2,429,316 

Investments Accounted For Using the Equity Method

The following table summarizes the Company’s investments 
accounted for using the equity method, by strategy:

December 31,

Credit related funds
Equities
Real estate
Lending
Private equity
Infrastructure
Energy
Total

$ 

2020
740,060  $ 
343,058 
258,518 
179,629 
235,289 
175,882 
115,453 

2019
428,437 
293,686 
246,851 
202,690 
144,983 
235,033 
108,716 
$  2,047,889  $  1,660,396 

In  applying  the  equity  method,  investments  are  initially 
recorded  at  cost  and  are  subsequently  adjusted  based  on  the 
Company’s  proportionate  share  of  the  net  income  or  loss  of 
the  funds  (which  include  changes  in  the  fair  value  of  the 
underlying  securities  in  the  funds).  Such  investments  are 
generally recorded on a one to three month lag based on the 
availability of reports from the investment funds. 

A  summary  of  financial  information  for  the  Company’s 
investment funds accounted for using the equity method is as 
follows: 

Invested assets
Total assets
Total liabilities
Net assets

Total revenues
Total expenses
Net income (loss)

December 31,

2020

2019

$  44,131,377  $  26,383,370 
  28,039,181 
  49,078,464 
3,595,695 
6,054,189 
$  43,024,275  $  24,443,486 

2020

Year Ended December 31,
2019
164,669  $  4,565,354 
528,762 
1,135,602 
(364,093)  $  3,429,752 

2018

$  5,762,098  $ 
1,656,029 
$  4,106,069  $ 

Certain of the Company’s other investments and investments 
accounted  for  using  the  equity  method  are  in  investment 
funds  for  which  the  Company  has  the  option  to  redeem  at 
agreed  upon  values  as  described  in  each  investment  fund’s 
subscription  agreement.  Depending  on  the  terms  of  the 
various  subscription  agreements,  investments  in  investment 
funds may be redeemed daily, monthly, quarterly or on other 
terms.  Two  common  redemption  restrictions  which  may 
impact  the  Company’s  ability  to  redeem  these  investment 
funds  are  gates  and  lockups.  A  gate  is  a  suspension  of 
redemptions  which  may  be  implemented  by  the  general 
partner or investment manager of the fund in order to defer, 
in  whole  or  in  part,  the  redemption  request  in  the  event  the 
aggregate  amount  of 
requests  exceeds  a 
redemption 
predetermined percentage of the investment fund's net assets 
the  general  partner  or 
which  may  otherwise  hinder 
investment  manager's  ability  to  liquidate  holdings  in  an 
orderly  fashion  in  order  to  generate  the  cash  necessary  to 
fund  extraordinarily  large  redemption  payouts.  A  lockup 
is 
period 
contractually required to hold the security before having the 
ability  to  redeem.  If  the  investment  funds  are  eligible  to  be 
redeemed,  the  time  to  redeem  such  fund  can  take  weeks  or 
months following the notification.

initial  amount  of 

time  an 

investor 

the 

is 

Limited Partnership Interests

In the normal course of its activities, the Company invests in 
limited partnerships as part of its overall investment strategy. 
Such  amounts  are  included  in  ‘investments  accounted  for 
using  the  equity  method’  and  ‘investments  accounted  for 
using  the  fair  value  option.’  The  Company  determined  that 

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limited  partnership 

these 
interests  represented  variable 
interests in the funds because the general partner did not have 
a significant interest in the funds. The Company’s maximum 
exposure to loss with respect to these investments is limited 
to 
the 
investment  carrying  amounts  reported 
Company’s  consolidated  balance  sheet  and  any  unfunded 
commitment.

the 

in 

The  following  table  summarizes  investments  in  limited 
partnership  interests  where  the  Company  has  a  variable 
interest by balance sheet item:

December 31,

2020

2019

Investments accounted for using the equity 
method (1)

Investments accounted for using the fair 
value option (2)

Total

$  2,047,889  $  1,660,396 

184,720 

188,283 

$  2,232,609  $  1,848,679 

(1)    Aggregate  unfunded  commitments  were $1.8  billion  at  December  31, 

2020, compared to $1.4 billion at December 31, 2019. 

(2)  Aggregate unfunded commitments were $35.6 million at December 31, 

2020, compared to $41.7 million at December 31, 2019. 

Net Investment Income

The components of net investment income were derived from 
the following sources:

$ 

Fixed maturities
Term loans
Equity securities
Short-term investments
Other (1)

Gross investment income

Investment expenses

Net investment income

$ 

Year Ended December 31,
2019
505,399  $ 
98,949 
15,857 
15,820 
80,618 
716,643 
(88,905) 
627,738  $ 

2020
412,481  $ 
84,149 
28,958 
10,840 
72,395 
608,823 
(89,215) 
519,608  $ 

2018
470,912 
87,926 
13,154 
18,793 
64,942 
655,727 
(92,094) 
563,633 

(1) 

Includes income distributions from investment funds and other items.

Net Realized Gains (Losses)

Net realized gains (losses) were as follows:

Year Ended December 31,
2019

2018

2020

Available for sale securities:

Gross gains on investment 
sales

Gross losses on investment 
sales

Change in fair value of assets 
and liabilities accounted for 
using the fair value option:

Fixed maturities
Other investments
Equity securities
Short-term investments

Equity securities, at fair value 
(1):

Net realized gains (losses) on 
securities sold

Net unrealized gains (losses) 
on equity securities still held 
at reporting date

Allowance for credit losses:(3)

Investments related
Underwriting related
Net impairment losses
Derivative instruments (2)
Other

$  595,941  $  235,655  $ 

69,299 

(117,282) 

(104,612) 

(223,123) 

15,881 
13,656 
14,629 
2,279 

41,910 
(35,734) 
15,869 
3,801 

(90,898) 
(90,778) 
(5,984) 
(461) 

26,849 

11,313 

(40,117) 

102,394 

97,768 

(22,828) 

(3,597) 
(10,007) 
(533) 
179,675 
3,575 

— 
— 
(3,165) 
119,741 
(19,348) 

— 
— 
(2,829) 
15,636 
(16,090) 

Net realized gains (losses)

$  823,460  $  363,198  $  (408,173) 

(1)  Effective January 1, 2018, changes in fair value on equity securities are 

recorded through net income.

(2)  See Note 11 for information on the Company’s derivative instruments.
(3)  Adoption  of  ASU  2016-13,  “Financial  Instruments  -  Credit  Losses 

(Topic 326)” See note 3.

Equity in Net Income (Loss) of Investments Accounted For 
Using the Equity Method

The  Company  recorded  equity  in  net  income  related  to 
investments accounted for using the equity method of $146.7 
million  for  2020,  compared  to  $123.7  million  for  2019  and 
$45.6  million  for  2018.  In  applying  the  equity  method, 
investments  are 
recorded  at  cost  and  are 
subsequently adjusted based on the Company’s proportionate 
share  of  the  net  income  or  loss  of  the  funds  (which  include 
changes  in  the  market  value  of  the  underlying  securities  in 
the funds). Such investments are generally recorded on a one 
to  three  month  lag  based  on  the  availability  of  reports  from 
the investment funds.

initially 

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Allowance for Expected Credit Losses

The following table provides a roll forward of the allowance for expected credit losses of the Company’s securities classified as 
available for sale:

Balance at beginning of period

Cumulative effect of accounting change (2)

Additions for current-period provision for expected credit losses

Additions (reductions) for previously recognized expected credit losses 

Reductions due to disposals

Write-offs charged against the allowance

Balance at end of period

Year Ended December 31, 2020

Structured 
Securities (1)

Municipal
Bonds

Corporate
Bonds

Total

$ 

—  $ 

—  $ 

—  $ 

517 

2,942 

(1,398) 

(571) 

— 

— 

67 

6 

(62) 

— 

117 

7,644 

(5,638) 

(1,227) 

— 

— 

634 

10,653 

(7,030) 

(1,860) 

— 

$ 

1,490  $ 

11  $ 

896  $ 

2,397 

Includes asset backed securities, mortgage backed securities and commercial mortgage backed securities.

(1) 
(2)  Adoption of ASU 2016-13, “Financial Instruments - Credit Losses (Topic 326)” See note 3.

Restricted Assets

The  Company  is  required  to  maintain  assets  on  deposit, 
which  primarily  consist  of  fixed  maturities,  with  various 
regulatory  authorities  to  support  its  underwriting  operations. 
The Company’s subsidiaries maintain assets in trust accounts 
as  collateral  for  transactions  with  affiliated  companies  and 
also  have  investments  in  segregated  portfolios  primarily  to 
provide  collateral  or  guarantees  for  letters  of  credit  to  third 
parties

The  following  table  details  the  value  of  the  Company’s 
restricted assets:

Assets used for collateral or guarantees:

Affiliated transactions
Third party agreements

Deposits with U.S. regulatory authorities

Deposits with non-U.S. regulatory 
authorities

Total restricted assets

December 31,

2020

2019

$  4,643,334  $  4,526,761 
2,278,248 
797,371 

3,083,324 
827,552 

179,099 

119,238 
$  8,733,309  $  7,721,618 

In  addition,  Watford  maintains  a  secured  credit  facility  to 
provide  borrowing  capacity  for  investment  purposes  and  a 
total return swap agreement and maintains assets pledged as 
collateral  for  such  purposes.  The  Company  does  not 
guarantee  or  provide  credit  support  for  Watford,  and  the 
Company’s  financial  exposure  to  Watford  is  limited  to  its 
investment in Watford’s senior notes, common and preferred 
shares  and  counterparty  credit  risk  (mitigated  by  collateral) 
arising  from  reinsurance  transactions.  As  of  December  31, 
2020  and  December  31,  2019,  Watford  held  $954.6  million 
and  $1.0  billion, 
to 
collateralize the credit facility mentioned above. 

in  pledged  assets 

respectively, 

Reconciliation of Cash and Restricted Cash

The  following  table  details  reconciliation  of  cash  and 
restricted cash within the Consolidated Balance Sheets:

December 31,
2019
$  906,448  $  726,230  $  646,556 

2018

2020

384,096 

78,087 
$  1,290,544  $  903,698  $  724,643 

177,468 

Cash

Restricted cash (included in 
‘other assets’)

Cash and restricted cash

10.  Fair Value

Accounting  guidance  regarding  fair  value  measurements 
addresses  how  companies  should  measure  fair  value  when 
they are required to use a fair value measure for recognition 
or disclosure purposes under GAAP and provides a common 
definition  of  fair  value  to  be  used  throughout  GAAP.  It 
defines fair value as the price that would be received to sell 
an  asset  or  paid  to  transfer  a  liability  in  an  orderly  fashion 
between  market  participants  at  the  measurement  date.  In 
addition,  it  establishes  a  three-level  valuation  hierarchy  for 
the  disclosure  of  fair  value  measurements.  The  valuation 
hierarchy  is  based  upon  the  transparency  of  inputs  to  the 
valuation of an asset or liability as of the measurement date. 
The  level  in  the  hierarchy  within  which  a  given  fair  value 
measurement  falls  is  determined  based  on  the  lowest  level 
input  that  is  significant  to  the  measurement  (Level  1  being 
the highest priority and Level 3 being the lowest priority).

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The levels in the hierarchy are defined as follows:

Level  1: 

Level  2: 

Level  3: 

to 

Inputs 

the  valuation  methodology  are 
observable  inputs  that  reflect  quoted  prices 
(unadjusted) for identical assets or liabilities in 
active markets
Inputs  to  the  valuation  methodology  include 
quoted prices for similar assets and liabilities in 
active  markets,  and  inputs  that  are  observable 
for  the  asset  or  liability,  either  directly  or 
indirectly,  for  substantially  the  full  term  of  the 
financial instrument

to 

Inputs 

the  valuation  methodology  are 
unobservable  and  significant  to  the  fair  value 
measurement

Following  is  a  description  of  the  valuation  methodologies 
used  for  securities  measured  at  fair  value,  as  well  as  the 
general  classification  of  such  securities  pursuant  to  the 
valuation  hierarchy.  The  Company  reviews  its  securities 
measured at fair value and discusses the proper classification 
of such investments with investment advisers and others.

to  provide 

The  Company  determines  the  existence  of  an  active  market 
based  on  its  judgment  as  to  whether  transactions  for  the 
financial  instrument  occur  in  such  market  with  sufficient 
frequency  and  volume 
reliable  pricing 
information.  The  independent  pricing  sources  obtain  market 
quotations  and  actual  transaction  prices  for  securities  that 
have  quoted  prices  in  active  markets.  The  Company  uses 
quoted  values  and  other  data  provided  by  nationally 
recognized  independent  pricing  sources  as  inputs  into  its 
process  for  determining  fair  values  of  its  fixed  maturity 
investments.  To  validate  the  techniques  or  models  used  by 
pricing sources, the Company's review process includes, but 
is not limited to: (i) quantitative analysis (e.g., comparing the 
quarterly  return  for  each  managed  portfolio  to  its  target 
benchmark,  with  significant  differences 
identified  and 
investigated);  (ii)  a  review  of  the  prices  obtained  in  the 
pricing  process  and  the  range  of  resulting  fair  values;  (iii) 
initial  and  ongoing  evaluation  of  methodologies  used  by 
outside  parties  to  calculate  fair  value;  (iv)  a  comparison  of 
the  fair  value  estimates  to  the  Company’s  knowledge  of  the 
current market; (v) a comparison of the pricing services' fair 
values  to  other  pricing  services'  fair  values  for  the  same 
investments;  and  (vi)  periodic  back-testing,  which  includes 
randomly  selecting  purchased  or  sold  securities  and 
comparing  the  executed  prices  to  the  fair  value  estimates 
from  the  pricing  service.  A  price  source  hierarchy  was 
maintained  in  order  to  determine  which  price  source  would 
be  used  (i.e.,  a  price  obtained  from  a  pricing  service  with 
more seniority in the hierarchy will be used over a less senior 
one  in  all  cases).  The  hierarchy  prioritizes  pricing  services 
based  on  availability  and  reliability  and  assigns  the  highest 
priority  to  index  providers.  Based  on  the  above  review,  the 

Company will challenge any prices for a security or portfolio 
which are considered not to be representative of fair value. 

in 

In  certain  circumstances,  when  fair  values  are  unavailable 
from  these  independent  pricing  sources,  quotes  are  obtained 
the 
from  broker-dealers  who  are  active 
directly 
corresponding  markets.  Such  quotes  are  subject  to  the 
validation  procedures  noted  above.  Of  the  $26.5  billion  of 
financial  assets  and  liabilities  measured  at  fair  value  at 
December 31, 2020, approximately $150.1 million, or 0.6%, 
were  priced  using  non-binding  broker-dealer  quotes.  Of  the 
$22.9  billion  of  financial  assets  and  liabilities  measured  at 
fair  value  at  December  31,  2019,  approximately  $179.6 
million,  or  0.8%,  were  priced  using  non-binding  broker-
dealer quotes.

Fixed maturities

The Company uses the market approach valuation technique 
to  estimate  the  fair  value  of  its  fixed  maturity  securities, 
when  possible.  The  market  approach  includes  obtaining 
prices  from  independent  pricing  services,  such  as  index 
providers  and  pricing  vendors,  as  well  as  to  a  lesser  extent 
quotes from broker-dealers. The independent pricing sources 
obtain  market  quotations  and  actual  transaction  prices  for 
securities  that  have  quoted  prices  in  active  markets.  Each 
source  has  its  own  proprietary  method  for  determining  the 
fair value of securities that are not actively traded. In general, 
these  methods  involve  the  use  of  “matrix  pricing”  in  which 
the independent pricing source uses observable market inputs 
including,  but  not  limited  to,  investment  yields,  credit  risks 
and  spreads,  benchmarking  of  like  securities,  broker-dealer 
quotes,  reported  trades  and  sector  groupings  to  determine  a 
reasonable fair value. The following describes the significant 
inputs  generally  used  to  determine  the  fair  value  of  the 
Company’s fixed maturity securities by asset class:

•
U.S.  government  and  government  agencies  — 
valuations provided by independent pricing services, with all 
prices provided through index providers and pricing vendors. 
The  Company  determined  that  all  U.S.  Treasuries  would  be 
classified  as  Level  1  securities  due  to  observed  levels  of 
trading  activity,  the  high  number  of  strongly  correlated 
pricing quotes received on U.S. Treasuries and other factors. 
The  fair  values  of  U.S.  government  agency  securities  are 
generally  determined  using  the  spread  above  the  risk-free 
yield curve. As the yields for the risk-free yield curve and the 
spreads for these securities are observable market inputs, the 
fair  values  of  U.S.  government  agency  securities  are 
classified within Level 2.

•
Corporate  bonds  —  valuations  provided  by 
independent  pricing  services,  substantially  all  through  index 
providers  and  pricing  vendors  with  a  small  amount  through 
broker-dealers.  The  fair  values  of  these  securities  are 
generally  determined  using  the  spread  above  the  risk-free 

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yield  curve.  These  spreads  are  generally  obtained  from  the 
new issue market, secondary trading and from broker-dealers 
who trade in the relevant security market. As the significant 
inputs  used  in  the  pricing  process  for  corporate  bonds  are 
observable market inputs, the fair value of these securities are 
classified within Level 2.

•
Mortgage-backed  securities  —  valuations  provided 
by  independent  pricing  services,  substantially  all  through 
pricing  vendors  and  index  providers  with  a  small  amount 
through broker-dealers. The fair values of these securities are 
generally  determined  through  the  use  of  pricing  models 
(including  Option  Adjusted  Spread)  which  use  spreads  to 
determine  the  expected  average  life  of  the  securities.  These 
spreads  are  generally  obtained  from  the  new  issue  market, 
secondary  trading  and  from  broker-dealers  who  trade  in  the 
relevant  security  market.  The  pricing  services  also  review 
prepayment speeds and other indicators, when applicable. As 
the  significant  inputs  used  in  the  pricing  process  for 
mortgage-backed securities are observable market inputs, the 
fair value of these securities are classified within Level 2.

•
  Municipal  bonds  —  valuations  provided  by 
independent  pricing  services,  with  all  prices  provided 
through index providers and pricing vendors. The fair values 
of  these  securities  are  generally  determined  using  spreads 
obtained  from  broker-dealers  who  trade  in  the  relevant 
security market, trade prices and the new issue market. As the 
significant  inputs  used  in  the  pricing  process  for  municipal 
bonds  are  observable  market  inputs,  the  fair  value  of  these 
securities are classified within Level 2.

Commercial  mortgage-backed 

securities  — 
•
valuations  provided  by 
independent  pricing  services, 
substantially all through index providers and pricing vendors 
with a small amount through broker-dealers. The fair values 
of  these  securities  are  generally  determined  through  the  use 
of  pricing  models  which  use  spreads  to  determine  the 
appropriate  average  life  of  the  securities.  These  spreads  are 
generally  obtained  from  the  new  issue  market,  secondary 
trading  and  from  broker-dealers  who  trade  in  the  relevant 
security market. As the significant inputs used in the pricing 
process  for  commercial  mortgage-backed  securities  are 
observable market inputs, the fair value of these securities are 
classified within Level 2.

•
Non-U.S.  government  securities  —  valuations 
provided  by  independent  pricing  services,  with  all  prices 
provided  through  index  providers  and  pricing  vendors.  The 
fair  values  of  these  securities  are  generally  based  on 
international indices or valuation models which include daily 
observed  yield  curves,  cross-currency  basis  index  spreads 
and country credit spreads. As the significant inputs used in 
the  pricing  process  for  non-U.S.  government  securities  are 
observable market inputs, the fair value of these securities are 
classified within Level 2.

•
Asset-backed  securities  —  valuations  provided  by 
independent  pricing  services,  substantially  all  through  index 
providers  and  pricing  vendors  with  a  small  amount  through 
broker-dealers.  The  fair  values  of  these  securities  are 
generally  determined  through  the  use  of  pricing  models 
(including  Option  Adjusted  Spread)  which  use  spreads  to 
determine the appropriate average life of the securities. These 
spreads  are  generally  obtained  from  the  new  issue  market, 
secondary  trading  and  from  broker-dealers  who  trade  in  the 
relevant security market. As the significant inputs used in the 
pricing  process  for  asset-backed  securities  are  observable 
market inputs, the fair value of these securities are classified 
within Level 2. A small number of securities are included in 
Level 3 due to a low level of transparency on the inputs used 
in the pricing process.

Equity securities

The  Company  determined 
that  exchange-traded  equity 
securities  would  be  included  in  Level  1  as  their  fair  values 
are  based  on  quoted  market  prices  in  active  markets.  Other 
equity  securities  are  included  in  Level  2  of  the  valuation 
hierarchy. A small number of securities are included in Level 
3 due to the lack of an available independent price source for 
such  securities.  As  the  significant  inputs  used  to  price  these 
securities  are  unobservable,  the  fair  value  of  such  securities 
are classified as Level 3. 

Other investments

The  Company  determined  that  exchange-traded  investments 
would be included in Level 1 as their fair values are based on 
quoted  market  prices  in  active  markets.  Other  investments 
also include term loan investments for which fair values are 
estimated  by  using  quoted  prices  of  term  loan  investments 
with similar characteristics, pricing models or matrix pricing. 
Such  investments  are  generally  classified  within  Level  2.  A 
small number of securities are included in Level 3 due to the 
lack  of  an  available  independent  price  source  for  such 
securities. 

Derivative instruments

The  Company’s  futures  contracts,  foreign  currency  forward 
contracts,  interest  rate  swaps  and  other  derivatives  trade  in 
the  over-the-counter  derivative  market.  The  Company  uses 
the market approach valuation technique to estimate the fair 
value  for  these  derivatives  based  on  significant  observable 
market  inputs  from  third  party  pricing  vendors,  non-binding 
broker-dealer  quotes  and/or  recent  trading  activity.  As  the 
significant  inputs  used  in  the  pricing  process  for  these 
derivative  instruments  are  observable  market  inputs,  the  fair 
value of these securities are classified within Level 2. 

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Short-term investments

Contingent consideration liabilities

The  Company  determined  that  certain  of  its  short-term 
investments  held  in  highly  liquid  money  market-type  funds, 
Treasury  bills  and  commercial  paper  would  be  included  in 
Level 1 as their fair values are based on quoted market prices 
in  active  markets.  The  fair  values  of  other  short-term 
investments are generally determined using the spread above 
the risk-free yield curve and are classified within Level 2.

liabilities  (included 

the  consolidated  balance  sheets) 

in  ‘other 
Contingent  consideration 
liabilities’ 
include 
in 
amounts related to the Company’s 2014 acquisition of CMG 
Mortgage  Insurance  Company  and  its  affiliated  mortgage 
insurance  companies  (the  “CMG  Entities”)  and  other 
acquisitions.  Such  amounts  are  remeasured  at  fair  value  at 
each balance sheet date with changes in fair value recognized 
in ‘net realized gains (losses).’ To determine the fair value of 
contingent  consideration  liabilities,  the  Company  estimates 
future payments using an income approach based on modeled 
inputs which include a weighted average cost of capital. The 
Company determined that contingent consideration liabilities 
would be included within Level 3.

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The  following  table  presents  the  Company’s  financial  assets  and  liabilities  measured  at  fair  value  by  level  at  December  31, 
2020:

Fair Value Measurement Using:

Quoted Prices in 
Active Markets 
for Identical 
Assets 
(Level 1)

Significant 
Other 
Observable 
Inputs 
(Level 2)

Significant 
Unobservable 
Inputs 
(Level 3)

Estimated
Fair Value

Assets measured at fair value (1):
Available for sale securities:

Fixed maturities:
Corporate bonds
Mortgage backed securities
Municipal bonds
Commercial mortgage backed securities
U.S. government and government agencies
Non-U.S. government securities
Asset backed securities

Total

Short-term investments

Equity securities, at fair value

Derivative instruments (4)

Fair value option:
Corporate bonds
Non-U.S. government bonds
Mortgage backed securities
Commercial mortgage backed securities
Asset backed securities
U.S. government and government agencies
Short-term investments
Equity securities
Other investments
Other investments measured at net asset value (2)

Total

$ 

7,856,571  $ 
630,001 
494,522 
389,900 
5,557,077 
2,433,733 
1,634,804 
18,996,608 

—  $ 
— 
— 
— 
5,463,356 
— 
— 
5,463,356 

7,856,558  $ 
630,001 
494,522 
389,900 
93,721 
2,433,733 
1,631,378 
13,529,813 

1,924,922 

1,920,565 

1,460,959 

1,401,653 

4,357 

17,291 

177,383 

— 

177,383 

651,294 
35,263 
3,282 
1,090 
152,151 
274 
557,008 
92,549 
1,134,229 
1,197,656 
3,824,796 

— 
— 
— 
— 
— 
164 
420,131 
23,373 
51,149 

650,309 
35,263 
3,282 
1,090 
152,151 
110 
136,877 
188 
1,015,977 

494,817 

1,995,247 

137,076 

13 
— 
— 
— 
— 
— 
3,426 
3,439 

— 

42,015 

— 

985 
— 
— 
— 
— 
— 
— 
68,988 
67,103 

Total assets measured at fair value

$ 

26,384,668  $ 

9,280,391  $ 

15,724,091  $ 

182,530 

Liabilities measured at fair value:

Contingent consideration liabilities
Securities sold but not yet purchased (3)
Derivative instruments (4)

Total liabilities measured at fair value

$ 

(461)  $ 

(21,679) 
(108,705) 

$ 

(130,845)  $ 

—  $ 
— 
— 

—  $ 

—  $ 

(21,679) 
(108,705) 

(130,384)  $ 

(461) 
— 
— 

(461) 

(1) 

(2) 

(3) 

(4) 

In securities lending transactions, the Company receives collateral in excess of the fair value of the securities pledged. For purposes of this table, the 
Company has excluded the collateral received under securities lending, at fair value and included the securities pledged under securities lending, at fair 
value. See Note 9.
In  accordance  with  applicable  accounting  guidance,  certain  investments  that  are  measured  at  fair  value  using  the  net  asset  value  per  share  (or  its 
equivalent) practical expedient have not been classified in the fair value hierarchy. The fair value amounts presented in this table are intended to permit 
reconciliation of the fair value hierarchy to the amounts presented in the consolidated balance sheets.
Represents the Company’s obligations to deliver securities that it did not own at the time of sale. Such amounts are included in “other liabilities” on the 
Company’s consolidated balance sheets.
See Note 11.

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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

The  following  table  presents  the  Company’s  financial  assets  and  liabilities  measured  at  fair  value  by  level  at  December  31, 
2019:

Assets measured at fair value (1):
Available for sale securities:

Fixed maturities:
Corporate bonds
Mortgage backed securities
Municipal bonds
Commercial mortgage backed securities
U.S. government and government agencies
Non-U.S. government securities
Asset backed securities

Total

Equity securities, at fair value

Short-term investments

Derivative instruments (4)

Fair value option:
Corporate bonds
Non-U.S. government bonds
Mortgage backed securities
Municipal bonds
Commercial mortgage backed securities
Asset backed securities
U.S. government and government agencies
Short-term investments
Equity securities
Other investments
Other investments measured at net asset value (2)

Total

Fair Value Measurement Using:

Quoted Prices in 
Active Markets 
for Identical 
Assets 
(Level 1)

Significant 
Other 
Observable 
Inputs 
(Level 2)

Significant 
Unobservable 
Inputs 
(Level 3)

Estimated
Fair Value

$ 

$ 

6,406,591 
562,309 
881,926 
733,108 
4,916,592 
2,078,757 
1,683,753 
17,263,036 

850,283 

956,546 

48,946 

488,402 
50,465 
11,947 
377 
1,134 
200,163 
1,962 
377,014 
102,697 
1,418,273 
1,011,043 
3,663,477 

$ 

— 
— 
— 
— 
4,805,581 
— 
— 
4,805,581 

789,596 

904,804 

— 

— 
— 
— 
— 
— 
— 
1,852 
333,320 
43,962 
53,287 

$ 

6,397,740 
562,055 
881,926 
733,108 
111,011 
2,078,757 
1,678,791 
12,443,388 

4,798 

51,742 

48,946 

487,470 
50,465 
11,947 
377 
1,134 
200,163 
110 
43,694 
641 
1,296,169 

8,851 
254 
— 
— 
— 
— 
4,962 
14,067 

55,889 

— 

— 

932 
— 
— 
— 
— 
— 
— 
— 
58,094 
68,817 

432,421 

2,092,170 

127,843 

Total assets measured at fair value

$ 

22,782,288 

$ 

6,932,402 

$ 

14,641,044 

$ 

197,799 

Liabilities measured at fair value:

Contingent consideration liabilities
Securities sold but not yet purchased (3)
Derivative instruments (4)

Total liabilities measured at fair value

$ 

$ 

(7,998)  $ 
(66,257) 
(39,750) 
(114,005)  $ 

— 
— 
— 
— 

$ 

$ 

$ 

— 
(66,257) 
(39,750) 
(106,007)  $ 

(7,998) 
— 
— 
(7,998) 

(1) 

(2) 

(3) 

(4) 

In securities lending transactions, the Company receives collateral in excess of the fair value of the securities pledged. For purposes of this table, the 
Company has excluded the collateral received under securities lending, at fair value and included the securities pledged under securities lending, at fair 
value. See Note 9.
In  accordance  with  applicable  accounting  guidance,  certain  investments  that  are  measured  at  fair  value  using  the  net  asset  value  per  share  (or  its 
equivalent) practical expedient have not been classified in the fair value hierarchy. The fair value amounts presented in this table are intended to permit 
reconciliation of the fair value hierarchy to the amounts presented in the consolidated balance sheets.
Represents the Company’s obligations to deliver securities that it did not own at the time of sale. Such amounts are included in “other liabilities” on the 
Company’s consolidated balance sheets.
See Note 11.

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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

The  following  table  presents  a  reconciliation  of  the  beginning  and  ending  balances  for  all  financial  assets  and  liabilities 
measured at fair value on a recurring basis using Level 3 inputs for 2020 and 2019:

Available For Sale

Fair Value Option

Fair Value

Assets

Liabilities

Structured 
Securities 
(1)

Corporate 
Bonds

Corporate 
Bonds

Other 
Investments

Equity 
Securities

Equity 
Securities

Contingent
Consideration
Liabilities

Year Ended December 31, 2020

Balance at beginning of year

$ 

5,216 

$ 

8,851 

$ 

932 

$ 

68,817 

$ 

58,094 

$ 

55,889 

$ 

(7,998) 

Total gains or (losses) (realized/unrealized)

Included in earnings (2)

Included in other comprehensive 
income

Purchases, issuances, sales and settlements

Purchases

Issuances

Sales

Settlements

Transfers in and/or out of Level 3

— 

(5,865) 

(13) 

(314) 

10,894 

8,214 

(72) 

(169) 

397 

— 

— 

— 

— 

— 

— 

(1,413) 

(208) 

(1,462) 

(1,908) 

— 

66 

— 

— 

— 

— 

— 

52,449 

— 

(56,833) 

— 

2,984 

— 

— 

— 

— 

— 

— 

— 

4,030 

— 

(26,118) 

— 

— 

— 

— 

— 

— 

7,609 

— 

(461) 

Balance at end of year

$ 

3,426 

$ 

13 

$ 

985 

$ 

67,103 

$ 

68,988 

$ 

42,015 

$ 

Year Ended December 31, 2019

Balance at beginning of year

$ 

313 

$ 

8,141 

$ 

5,758 

$ 

62,705 

$ 

— 

$ 

— 

$ 

(66,665) 

Total gains or (losses) (realized/unrealized)

Included in earnings (2)

Included in other comprehensive 
income

Purchases, issuances, sales and settlements

Purchases

Issuances

Sales

Settlements

Transfers in and/or out of Level 3

1,760 

2 

(162) 

(8,119) 

1,949 

(3,418) 

(1,478) 

3 

— 

— 

(1,757) 

(552) 

5,449 

(267) 

881 

— 

— 

(1,766) 

1,860 

— 

— 

— 

(28,583) 

— 

23,919 

— 

3,746 

— 

(20,495) 

(600) 

31,580 

— 

— 

— 

— 

— 

56,145 

— 

36,077 

— 

(27,982) 

— 

51,212 

— 

— 

(548) 

— 

60,693 

— 

Balance at end of year

$ 

5,216 

$ 

8,851 

$ 

932 

$ 

68,817 

$ 

58,094 

$ 

55,889 

$ 

(7,998) 

Includes asset backed securities, mortgage backed securities and commercial mortgage backed securities.

(1) 
(2)  Gains or losses were included in net realized gains (losses).

Financial  Instruments  Disclosed,  But  Not  Carried,  At  Fair 
Value

market  inputs.  As  such,  the  fair  value  of  the  senior  notes  is 
classified within Level 2.

The  Company  uses  various  financial  instruments  in  the 
normal  course  of  its  business.  The  carrying  values  of  cash, 
accrued  investment  income,  receivable  for  securities  sold, 
certain  other  assets,  payable  for  securities  purchased  and 
certain  other  liabilities  approximated  their  fair  values  at 
December 31, 2020, due to their respective short maturities. 
As  these  financial  instruments  are  not  actively  traded,  their 
respective fair values are classified within Level 2.

At  December  31,  2020,  the  Company’s  senior  notes  were 
carried at their cost, net of debt issuance costs, of $2.9 billion 
and had a fair value of $3.7 billion. At December 31, 2019, 
the Company’s senior notes were carried at their cost, net of 
debt  issuance  costs,  of  $1.9  billion  and  had  a  fair  value  of 
$2.3 billion. The fair values of the senior notes were obtained 
from a third party pricing service and are based on observable 

Fair Value Measurements on a Non-Recurring Basis

The Company measures the fair value of certain assets on a 
non-recurring  basis,  generally  quarterly,  annually,  or  when 
events or changes in circumstances indicate that the carrying 
amount  of  the  assets  may  not  be  recoverable.  These  assets 
include  investments  accounted  for  using  the  equity  method, 
certain other investments, goodwill and intangible assets, and 
long-lived assets. The Company uses a variety of techniques 
to measure the fair value of these assets when appropriate, as 
described below: 

Investments accounted for using the equity method. When the 
Company  determines  that  the  carrying  value  of  these  assets 
may  not  be  recoverable,  the  Company  records  the  assets  at 
fair value with the loss recognized in income. In such cases, 

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the Company measures the fair value of these assets using the 
techniques  discussed  above  in  “—Fair  Value  Measurements 
on a Recurring Basis.”

The  following  table  summarizes  information  on  the  fair 
values  and  notional  values  of  the  Company’s  derivative 
instruments: 

Goodwill and Intangible Assets. The Company tests goodwill 
and  intangible  assets  for  impairment  whenever  events  or 
changes  in  circumstances  indicate  the  carrying  amount  may 
not be recoverable. When the Company determines goodwill 
and  intangible  assets  may  be  impaired,  the  Company  uses 
techniques  including  discounted  expected  future  cash  flows, 
to measure fair value.

Long-Lived  Assets.  The  Company  tests  its  long-lived  assets 
for impairment whenever events or changes in circumstances 
indicate the carrying amount of a long-lived asset may not be 
recoverable. 

11.  Derivative Instruments

The  Company’s  investment  strategy  allows  for  the  use  of 
derivative 
derivative 
instruments.  The  Company’s 
instruments are recorded on its consolidated balance sheets at 
fair  value.  The  Company  utilizes  exchange  traded  U.S. 
Treasury  note,  Eurodollar  and  other  futures  contracts  and 
commodity futures to manage portfolio duration or replicate 
investment  positions  in  its  portfolios  and  the  Company 
forward  contracts, 
foreign  currency 
routinely  utilizes 
currency  options, 
futures  contracts  and  other 
index 
derivatives  as  part  of  its  total  return  objective.  In  addition, 
certain  of  the  Company’s  investments  are  managed  in 
portfolios  which  incorporate  the  use  of  foreign  currency 
forward contracts which are intended to provide an economic 
hedge against foreign currency movements.

to-be-announced 
the  Company  purchases 
In  addition, 
its 
mortgage  backed  securities  (“TBAs”)  as  part  of 
investment  strategy.  TBAs 
to 
represent  commitments 
purchase  a  future  issuance  of  agency  mortgage  backed 
securities.  For  the  period  between  purchase  of  a  TBA  and 
issuance  of  the  underlying  security,  the  Company’s  position 
is  accounted  for  as  a  derivative.  The  Company  purchases 
TBAs in both long and short positions to enhance investment 
performance and as part of its overall investment strategy. 

Estimated Fair Value

Asset
Derivatives

Liability 
Derivatives

Notional
Value (1)

December 31, 2020

Futures contracts (2)

$ 

11,046  $ 

(4,496)  $  3,099,796 

Foreign currency forward 
contracts (2)

TBAs (3)

Other (2)

Total

December 31, 2019

52,716 

— 

(6,202) 

  1,656,729 

— 

— 

113,621 

(98,007) 

  5,763,919 

$ 

177,383  $ 

(108,705) 

Futures contracts (2)

$ 

10,065  $ 

(13,722)  $  4,104,559 

Foreign currency forward 
contracts (2)

TBAs (3)

Other (2)

Total

5,352 

55,010 

33,529 

(5,327) 

— 

686,878 

53,229 

(20,701) 

  4,356,300 

$ 

103,956  $ 

(39,750) 

(1)  Represents  the  absolute  notional  value  of  all  outstanding  contracts, 

consisting of long and short positions.

(2)  The fair value of asset derivatives are included in ‘other assets’ and the 
fair value of liability derivatives are included in ‘other liabilities.’
(3)  The fair value of TBAs are included in ‘fixed maturities available for 

sale, at fair value.’

The  Company  did  not  hold  any  derivatives  which  were 
designated  as  hedging  instruments  at  December  31,  2020  or 
2019. 

The  Company’s  derivative  instruments  can  be  traded  under 
master  netting  agreements,  which  establish  terms  that  apply 
to all derivative transactions with a counterparty. In the event 
of  a  bankruptcy  or  other  stipulated  event  of  default,  such 
agreements provide that the non-defaulting party may elect to 
terminate  all  outstanding  derivative  transactions,  in  which 
case  all  individual  derivative  positions  (loss  or  gain)  with  a 
counterparty  are  closed  out  and  netted  and  replaced  with 
a  single  amount,  usually  referred  to  as  the  termination 
amount,  which  is  expressed  in  a  single  currency.  The 
resulting single net amount, where positive, is payable to the 
party  “in-the-money”  regardless  of  whether  or  not  it  is  the 
defaulting party, unless the parties have agreed that only the 
non-defaulting  party  is  entitled  to  receive  a  termination 
payment where the net amount is positive and is in its favor. 

At  December  31,  2020,  $138.8  million  and  $93.0  million, 
respectively,  of  asset  derivatives  and  liability  derivatives 
were  subject  to  a  master  netting  agreement  compared  to 
at 
and  $37.8  million, 
$97.8  million 
December  31,  2019.  The  remaining  derivatives  included  in 
the  table  above  were  not  subject  to  a  master  netting 
agreement.

respectively, 

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risk  (mitigated  by  collateral)  arising  from  the  reinsurance 
transactions.

In  the  2020  fourth  quarter,  Arch  Capital,  Watford  Holdings 
Ltd.  and  Greysbridge  Ltd.,  a  wholly-owned  subsidiary  of 
Arch Capital, entered into an Agreement and Plan of Merger 
(as  amended,  the  “Merger  Agreement”)  pursuant  to  which, 
among other things, Arch Capital agreed to acquire all of the 
common shares of Watford Holdings Ltd. not owned by Arch 
for a cash purchase price of $35.00 per common share. Arch 
Capital  has  assigned  its  rights  under  the  Merger  Agreement 
to Greysbridge Holdings Ltd., a wholly-owned subsidiary of 
Arch Capital (“Greysbridge”). The transaction is expected to 
close  in  the  first  half  of  2021  and  remains  subject  to 
customary  closing  conditions,  including  regulatory  and 
shareholder  approvals.  Upon  closing  of  the  transaction, 
Watford  will  be  wholly  owned  by  Greysbridge  and 
Greysbridge will be owned 40% by Arch Re Bermuda, 30% 
by  certain  investment  funds  managed  by  Kelso  &  Company 
and  30%  by  certain  investment  funds  managed  by  Warburg 
Pincus LLC. 

Realized  and  unrealized  contract  gains  and  losses  on  the 
Company’s  derivative  instruments  are  reflected  in  net 
realized  gains  (losses)  in  the  consolidated  statements  of 
income, as summarized in the following table:

Derivatives not designated 
as hedging instruments

Net realized gains (losses):

Year Ended December 31,

2020

2019

2018

Futures contracts

$  114,987  $  114,123  $ 

48,443 

Foreign currency forward 
contracts

TBAs

Other

Total

49,974 

1,129 

13,585 

(9,499) 

(21,770) 

463 

(133) 

14,654 

(10,904) 

$  179,675  $  119,741  $ 

15,636 

12. Variable Interest Entity and Noncontrolling Interests

Watford Holdings Ltd.

In March 2014, Watford raised approximately $1.1 billion of 
capital  consisting  of  $907.3  million  in  common  equity 
($895.6  million  net  of  issuance  costs)  and  $226.6  million  in 
preference  equity  ($219.2  million  net  of  issuance  costs  and 
discount).  The  Company 
invested  $100.0  million  and 
acquired  2,500,000  common  shares.  Watford’s  common 
shares  are  listed  on  the  Nasdaq  Select  Global  Market  under 
the  ticker  symbol  “WTRE”.  As  of  December  31,  2020,  the 
Company  owned 
approximately  13%  of  Watford’s 
outstanding  common  equity  and,  as  of  February  16,  2021, 
Arch Re Bermuda owned approximately 10.3% of Watford’s 
common equity. 

Subsidiaries  of  the  Company  act  as  Watford’s  reinsurance 
and  insurance  underwriting  managers.  HPS  Investment 
Partners,  LLC  (“HPS”)  manages  Watford’s  non-investment 
grade credit portfolios, and the Company manages Watford’s 
investment  grade  portfolios,  each  under  separate  long  term 
services 
and  Nicolas 
Papadopoulo,  both  officers  of  the  Company,  serve  on  the 
board of directors of Watford. 

agreements.  Maamoun  Rajeh 

The Company concluded that Watford is a VIE and that the 
Company is the primary beneficiary. The Company includes 
the results of Watford in its consolidated financial statements. 
The Company concluded that Watford should be reflected in 
a  separate  operating  segment  (‘other’)  and  provides  the 
income statement and total investable assets, total assets and 
total liabilities of Watford within Note 4.

Because  Watford  is  an  independent  company,  the  assets  of 
Watford can be used only to settle obligations of Watford and 
Watford  is  solely  responsible  for  its  own  liabilities  and 
commitments. The Company’s financial exposure to Watford 
is  limited  to  its  investment  in  Watford’s  senior  notes, 
common shares and preferred shares and counterparty credit 

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

The  following  table  provides  the  carrying  amount  and 
balance  sheet  caption  in  which  the  assets  and  liabilities  of 
Watford are reported:

December 31,

2020

2019

is  recorded  in  the  consolidated  statements  of  income  in  ‘net 
(income) loss attributable to noncontrolling interests.’ 

The following table sets forth activity in the non-redeemable 
noncontrolling interests:

Assets

Investments accounted for using the fair 
value option (1)

Fixed maturities available for sale, at fair 
value
Equity securities, at fair value
Cash
Accrued investment income
Premiums receivable

Reinsurance recoverable on unpaid and 
paid losses and LAE
Ceded unearned premiums
Deferred acquisition costs, net
Receivable for securities sold
Goodwill and intangible assets
Other assets

Total assets of consolidated VIE

$ 

$ 

1,790,385  $ 

1,898,091 

Balance, beginning of year

December 31,

2020

2019

$  762,777  $  791,560 

655,249 
52,410 
211,451 
14,679 
224,377 

745,708 
65,338 
102,437 
14,025 
273,657 

286,590 
122,339 
53,705 
37,423 
7,650 
75,801 
3,532,059  $ 

170,973 
132,577 
64,044 
16,287 
7,650 
60,070 
3,550,857 

Additional paid in capital attributable to 
noncontrolling interests 

1,334 

(2,929) 

Repurchases attributable to non-redeemable 
noncontrolling interests (1)
Amounts attributable to noncontrolling interests  

(2,867) 

(75,056) 

53,076 

40,072 

Other amounts attributable to noncontrolling 
interests

Other comprehensive (income) loss attributable 
to noncontrolling interests

Balance, end of year

(375) 

— 

9,062 

9,130 
$  823,007  $  762,777 

(1)    During  2020  and  2019,  Watford’s  board  of  directors  authorized  the 
investment  in  Watford’s  common  shares  through  a  share  repurchase 
program.

Liabilities

Redeemable noncontrolling interests

Reserves for losses and loss adjustment 
expenses

$ 

1,519,583  $ 

1,263,628 

Unearned premiums

Reinsurance balances payable

Revolving credit agreement borrowings

Senior notes

Payable for securities purchased

Other liabilities

407,714 

63,269 

155,687 

172,689 

25,881 

193,494 

438,907 

77,066 

484,287 

172,418 

18,180 

171,714 

Total liabilities of consolidated VIE

$ 

2,538,317  $ 

2,626,200 

Redeemable noncontrolling interests

$ 

52,398  $ 

52,305 

(1) Included in “other investments” on the Company’s balance sheet.

The  following  table  summarizes  Watford’s  cash  flow  from 
operating, investing and financing activities.

Year Ended December 31,
2019

2018

2020

Total cash provided by (used for):
Operating activities
Investing activities
Financing activities

181,736 
258,589 
(335,776) 

239,284 
(140,620) 
(61,433) 

229,315 
(285,281) 
(2,406) 

Non-redeemable noncontrolling interests

The Company accounts for the portion of Watford’s common 
equity attributable to third party investors in the shareholders’ 
equity  section  of  its  consolidated  balance  sheets.  The 
noncontrolling  ownership  in  Watford’s  common  shares  was 
approximately  87%  at  December  31,  2020.  The  portion  of 
Watford’s income or loss attributable to third party investors 

The  Company  accounts  for  redeemable  noncontrolling 
interests in the mezzanine section of its consolidated balance 
sheets  in  accordance  with  applicable  accounting  guidance. 
Such  redeemable  noncontrolling  interests  primarily  relate  to 
the  Watford  Preference  Shares  issued  in  late  March  2014 
with  a  par  value  of  $0.01  per  share  and  a  liquidation 
preference  of  $25.00  per  share.  The  Watford  Preference 
Shares  were  issued  at  a  discounted  amount  of  $24.50  per 
share.  Holders  of  the  Watford  Preference  Shares  will  be 
entitled to receive, if declared by Watford’s board, quarterly 
cash  dividends  on  the  last  day  of  March,  June,  September, 
and  December.  Dividends  accrued  from  the  closing  date  to 
June 30, 2019 at a fixed rate of 8.5% per annum. From June 
30,  2019  and  subsequent,  dividends  will  accrue  based  on  a 
floating rate equal to the 3 month U.S. dollar LIBOR (with a 
1% floor) plus a margin based on the difference between the 
fixed  rate  and  the  5  year  mid  swap  rate  to  the  floating  rate. 
Preferred  dividends,  including  the  accretion  of  the  discount 
and  issuance  costs,  are  included  in  ‘net  (income)  loss 
attributable  to  noncontrolling  interests’  in  the  Company’s 
consolidated  statements  of  income.  Because  the  redemption 
features  are  not  solely  within  the  control  of  Watford,  the 
Company  accounts  for 
the  redeemable  noncontrolling 
interests  in  the  Watford  Preference  Shares  in  the  mezzanine 
section of its consolidated balance sheets. 

issued  and  outstanding  preference 

On  August  1,  2019,  Watford  redeemed  6,919,998  of  its 
9,065,200 
shares 
(“Watford Preference Shares”) at a total redemption price of 
$25.19748  per  share,  inclusive  of  all  declared  and  unpaid 
dividends. The Company received $11.5 million pursuant to 
the redemption of Watford Preference Shares.

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

Preferred  dividends  on  the  Watford  Preference  Shares, 
including  the  accretion  of  the  discount  and  issuance  costs, 
was  $4.4  million  for  2020,  compared  to  $17.8  million  for 
2019 and $19.6 million for 2018. 

The  following  table  sets  forth  activity  in  the  redeemable 
noncontrolling interests:

Balance, beginning of year

Redemption of  noncontrolling 
interests

Accretion of preference share 
issuance costs
Other
Balance, end of year

December 31,
2019
$  55,404  $ 206,292  $ 205,922 

2020

2018

— 

  (157,709) 

— 

93 
3,051 

370 
— 
$  58,548  $  55,404  $ 206,292 

244 
6,577 

The  portion  of  income  or  loss  attributable  to  third  party 
investors  is  recorded  in  the  consolidated  statements  of 
income  in  ‘net  (income)  loss  attributable  to  noncontrolling 
interests’ as summarized in the table below:

December 31,
2019

2020

2018

Amounts attributable to non-
redeemable noncontrolling interests
Amounts attributable to redeemable 
noncontrolling interests

Net (income) loss attributable to 
noncontrolling interests

$  (53,076)  $  (40,072)  $  48,507 

(7,114) 

(16,909) 

(18,357) 

$  (60,190)  $  (56,981)  $  30,150 

Bellemeade Re

The  Company  has  entered  into  various  aggregate  excess  of 
loss  mortgage  reinsurance  agreements  with  various  special 
purpose  reinsurance  companies  domiciled  in  Bermuda  (the 
Bellemeade  Agreements).  At  the  time  the  Bellemeade 
Agreements  were  entered  into,  the  applicability  of  the 
accounting guidance that addresses VIEs was evaluated. As a 
result  of  the  evaluation  of  the  Bellemeade  Agreements,  the 
Company  concluded  that  these  entities  are  VIEs.  However, 
given  that  the  ceding  insurers  do  not  have  the  unilateral 
power  to  direct  those  activities  that  are  significant  to  their 
economic  performance,  the  Company  does  not  consolidate 
such entities in its consolidated financial statements.

the 

table  presents 

total  assets  of 

The  following 
the 
Bellemeade  entities,  as  well  as  the  Company’s  maximum 
exposure to loss associated with these VIEs, calculated as the 
maximum  historical  observable  spread  between  the  one 
month LIBOR, the basis for the contractual payments to bond 
holders, and short term invested trust asset yields.

Bellemeade Entities 
(Issue Date)

Total VIE 
Assets

Maximum Exposure to Loss

On-
Balance 
Sheet 
(Asset) 
Liability

Off-
Balance 
Sheet

Total

Dec 31, 2020

Bellemeade 2017-1 
Ltd. (Oct-17)

Bellemeade 2018-1 
Ltd. (Apr-18)

Bellemeade 2018-2 
Ltd. (Aug-18)

Bellemeade 2018-3 
Ltd. (Oct-18)

Bellemeade 2019-1 
Ltd. (Mar-19)

Bellemeade 2019-2 
Ltd. (Apr-19)

Bellemeade 2019-3 
Ltd. (Jul-19)

Bellemeade 2019-4 
Ltd. (Oct-19)

Bellemeade 2020-1 
Ltd. (Jun-20) (1)

Bellemeade 2020-2 
Ltd. (Sep-20) (2)

Bellemeade 2020-3 
Ltd. (Nov-20) (3)

Bellemeade 2020-4 
Ltd. (Dec-20) (4)

Total

Dec 31, 2019

Bellemeade 2017-1 
Ltd. (Oct-17)

Bellemeade 2018-1 
Ltd. (Apr-18)

Bellemeade 2018-2 
Ltd. (Aug-18)

Bellemeade 2018-3 
Ltd. (Oct-18)

Bellemeade 2019-1 
Ltd. (Mar-19)

Bellemeade 2019-2 
Ltd. (Apr-19)

Bellemeade 2019-3 
Ltd. (Jul-19)

Bellemeade 2019-4 
Ltd. (Oct-19)

$ 

145,573  $ 

(245)  $ 

844  $ 

599 

250,095 

(903) 

2,245 

1,342 

108,395 

(138) 

280 

142 

302,563 

(1,320) 

3,262 

1,942 

219,256 

(1,361) 

8,461 

7,100 

398,316 

(730) 

5,201 

4,471 

528,084 

(861) 

5,079 

4,218 

468,737 

(890) 

6,676 

5,786 

275,068 

(178) 

1,012 

834 

423,420 

(556) 

6,839 

6,283 

418,158 

(631) 

9,605 

8,974 

321,393 

(156) 

6,816 

6,660 

$  3,859,058  $ 

(7,969)  $  56,320  $  48,351 

$ 

216,429  $ 

(442)  $ 

2,794  $ 

2,352 

328,482 

(1,574) 

5,757 

4,183 

437,009 

(877) 

2,524 

1,647 

426,806 

(1,113) 

3,937 

2,824 

257,358 

(226) 

3,027 

2,801 

525,959 

(78) 

2,579 

2,501 

656,523 

(585) 

9,273 

8,688 

577,267 

(302) 

12,193 

11,891 

Total

$  3,425,833  $ 

(5,197)  $  42,084  $  36,887 

(1)    An  additional  $79  million  capacity  was  provided  directly  to  Arch  MI  U.S.  by  a 
separate panel of reinsurers and is not reflected in this table. 
(2)    An  additional  $26  million  capacity  was  provided  directly  to  Arch  MI  U.S.  by  a 
separate panel of reinsurers and is not reflected in this table. 
(3)    An  additional  $34  million  capacity  was  provided  directly  to  Arch  MI  U.S.  by  a 
separate panel of reinsurers and is not reflected in this table.
(4)    An  additional  $16  million  capacity  was  provided  directly  to  Arch  MI  U.S.  by  a 
separate panel of reinsurers and is not reflected in this table.
See Note 8, “Reinsurance.”

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

13.   Other Comprehensive Income (Loss)

The following table presents the changes in each component of AOCI, net of noncontrolling interests:

Year Ended December 31, 2020
Beginning balance

Other comprehensive income (loss) before reclassifications
Amounts reclassified from accumulated other comprehensive income

Net current period other comprehensive income (loss)
Ending balance

Year Ended December 31, 2019
Beginning balance

Other comprehensive income (loss) before reclassifications
Amounts reclassified from accumulated other comprehensive income

Net current period other comprehensive income (loss)
Ending balance

Year Ended December 31, 2018
Beginning balance

Cumulative effect of an accounting change
Other comprehensive income (loss) before reclassifications
Amounts reclassified from accumulated other comprehensive income

Net current period other comprehensive income (loss)
Ending balance

Unrealized 
Appreciation on 
Available-For-Sale 
Investments

Foreign Currency 
Translation 
Adjustments

Total

$ 

$ 

$ 

$ 

$ 

$ 

258,486  $ 
668,996 
(426,187) 
242,809 
501,295  $ 

(114,178)  $ 
491,605 
(118,941) 
372,664 
258,486  $ 

157,400  $ 
(149,794) 
(266,357) 
144,573 
(121,784) 
(114,178)  $ 

(46,395)  $ 
33,995 
— 
33,995 
(12,400)  $ 

(64,542)  $ 
18,147 
— 
18,147 
(46,395)  $ 

(39,356)  $ 
— 
(25,186) 
— 
(25,186) 
(64,542)  $ 

212,091 
702,991 
(426,187) 
276,804 
488,895 

(178,720) 
509,752 
(118,941) 
390,811 
212,091 

118,044 
(149,794) 
(291,543) 
144,573 
(146,970) 
(178,720) 

The  following  tables  present  details  about  amounts  reclassified  from  accumulated  other  comprehensive  income  and  the  tax 
effects allocated to each component of other comprehensive income (loss):

Details About

 AOCI Components

Consolidated Statement of Income

Line Item That Includes

Reclassification

Amounts Reclassified from AOCI

Year Ended December 31,

2020

2019

2018

Unrealized appreciation on available-for-sale investments
Net realized gains (losses)

Provision for credit losses

Other-than-temporary impairment losses
Total before tax
Income tax (expense) benefit
Net of tax

$ 

478,659  $ 

131,043  $ 

(153,822) 

(3,597) 

(533) 
474,529 
(48,342) 
426,187  $ 

$ 

(3,165) 
127,878 
(8,937) 
118,941  $ 

(2,829) 
(156,651) 
12,078 
(144,573) 

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

Following are the related tax effects allocated to each component of other comprehensive income (loss):

Year Ended December 31, 2020

Unrealized appreciation (decline) in value of investments:

Unrealized holding gains (losses) arising during period

Less reclassification of net realized gains (losses) included in net income

Foreign currency translation adjustments

Other comprehensive income (loss)

Year Ended December 31, 2019

Unrealized appreciation (decline) in value of investments:

Unrealized holding gains (losses) arising during period

Less reclassification of net realized gains (losses) included in net income

Foreign currency translation adjustments

Other comprehensive income (loss)

Year Ended December 31, 2018

Unrealized appreciation (decline) in value of investments:

Unrealized holding gains (losses) arising during period

Less reclassification of net realized gains (losses) included in net income

Foreign currency translation adjustments

Other comprehensive income (loss)

Before Tax
Amount

Tax Expense
(Benefit)

Net of Tax
Amount

$ 

$ 

$ 

$ 

$ 

$ 

754,572 

$ 

75,855 

$ 

474,529 

33,706 

48,342 

370 

313,749 

$ 

27,883 

$ 

562,576 

$ 

61,805 

$ 

127,878 

18,463 

8,937 

353 

453,161 

$ 

53,221 

$ 

678,717 

426,187 

33,336 

285,866 

500,771 

118,941 

18,110 

399,940 

(294,267)  $ 

(24,210)  $ 

(156,651) 

(25,006) 

(12,078) 

(176) 

(162,622)  $ 

(12,308)  $ 

(270,057) 

(144,573) 

(24,830) 

(150,314) 

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

14.  Earnings Per Common Share

The calculation of basic earnings per common share is computed by dividing income available to Arch common shareholders 
by the weighted average number of Common Shares and common share equivalents outstanding. The following table sets forth 
the computation of basic and diluted earnings per common share:

2020

Year Ended December 31,
2019

2018

Numerator:
Net income
Amounts attributable to noncontrolling interests

Net income available to Arch

Preferred dividends

Loss on redemption of preferred shares

$ 

1,465,711  $ 
(60,190) 
1,405,521 
(41,612) 

1,693,300  $ 
(56,981) 
1,636,319 
(41,612) 

— 

— 

Net income available to Arch common shareholders

$ 

1,363,909  $ 

1,594,707  $ 

727,821 
30,150 
757,971 
(41,645) 

(2,710) 

713,616 

Denominator:

Weighted average common shares outstanding
Series D preferred securities (1)

Weighted average common shares outstanding – basic

Effect of dilutive common share equivalents:
Nonvested restricted shares
Stock options (2)

Weighted average common shares and common share equivalents outstanding – diluted

Earnings per common share:

Basic
Diluted

403,062,179 
— 
403,062,179 

1,682,309 
5,514,967 
410,259,455 

401,802,815 
— 
401,802,815 

1,673,770 
8,132,893 
411,609,478 

401,036,376 
3,311,245 
404,347,621 

1,474,207 
7,084,650 
412,906,478 

$ 
$ 

3.38  $ 
3.32  $ 

3.97  $ 
3.87  $ 

1.76 
1.73 

(1)   The company has determined that, based on a review of the terms, features and rights of the Company’s non-voting common equivalent preferred shares 
compared to the rights of the Company’s common shareholders, the underlying common shares that the convertible securities convert to were common 
share equivalents at the time of their issuance.

(2)  Certain  stock  options  were  not  included  in  the  computation  of  diluted  earnings  per  share  where  the  exercise  price  of  the  stock  options  exceeded  the 
average  market  price  and  would  have  been  anti-dilutive  or  where,  when  applying  the  treasury  stock  method  to  in-the-money  options,  the  sum  of  the 
proceeds, including unrecognized compensation, exceeded the average market price and would have been anti-dilutive. For 2020, 2019 and 2018, the 
number of stock options excluded were 2,249,821, 1,302,017 and 5,673,821, respectively.

15.   Income Taxes

Arch Capital is incorporated under the laws of Bermuda and, 
under current Bermuda law, is not obligated to pay any taxes 
in  Bermuda  based  upon  income  or  capital  gains.  The 
Company  has  received  a  written  undertaking  from  the 
Minister  of  Finance  in  Bermuda  under  the  Exempted 
Undertakings Tax Protection Act 1966 that, in the event that 
any  legislation  is  enacted  in  Bermuda  imposing  any  tax 
computed  on  profits,  income,  gain  or  appreciation  on  any 
capital  asset,  or  any  tax  in  the  nature  of  estate  duty  or 
inheritance  tax,  such  tax  will  not  be  applicable  to  Arch 
Capital  or  any  of  its  operations  until  March  31,  2035.  This 
undertaking  does  not,  however,  prevent  the  imposition  of 
taxes  on  any  person  ordinarily  resident  in  Bermuda  or  any 
company  in  respect  of  its  ownership  of  real  property  or 
leasehold interests in Bermuda.

Arch Capital and its non-U.S. subsidiaries will be subject to 
U.S.  federal  income  tax  only  to  the  extent  that  they  derive 
U.S. source income that is subject to U.S. withholding tax or 
income  that  is  effectively  connected  with  the  conduct  of  a 
trade or business within the U.S. and is not exempt from U.S. 
tax under an applicable income tax treaty with the U.S. Arch 
Capital  and  its  non-U.S.  subsidiaries  will  be  subject  to  a 
withholding  tax  on  dividends  from  U.S.  investments  and 
interest from certain U.S. payors (subject to reduction by any 
applicable income tax treaty). Arch Capital and its non-U.S. 
subsidiaries  intend  to  conduct  their  operations  in  a  manner 
that will not cause them to be treated as engaged in a trade or 
business  in  the  United  States  and,  therefore,  will  not  be 
required  to  pay  U.S.  federal  income  taxes  (other  than  U.S. 
excise  taxes  on  insurance  and  reinsurance  premium  and 
withholding taxes on dividends and certain other U.S. source 
investment income). However, because there is uncertainty as 
to the activities which constitute being engaged in a trade or 
business within the United States, there can be no assurances 
that  the  U.S.  Internal  Revenue  Service  will  not  contend 

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

A  reconciliation  of  the  difference  between  the  provision  for 
income taxes and the expected tax provision at the weighted 
average tax rate follows:

Year Ended December 31,
2019

2018

2020

Expected income tax expense 
(benefit) computed on pre-tax 
income at weighted average income 
tax rate

Addition (reduction) in income tax 
expense (benefit) resulting from:

$  111,947  $  149,799  $  91,529 

Tax-exempt investment income

(1,824) 

(3,091) 

(4,790) 

Meals and entertainment

547 

1,134 

1,060 

State taxes, net of U.S. federal tax 
benefit

Foreign branch taxes

Prior year adjustment

5,027 

2,094 

3,983 

Foreign exchange gains & losses

(1,736) 

Changes in applicable tax rate

Dividend withholding taxes

Change in valuation allowance

Contingent consideration

— 

7,105 

13,190 

9 

3,314 

1,231 

632 

436 

— 

6,510 

1,628 

190 

2,086 

5,428 

(2,522) 

1,293 

(128) 

6,594 

18,396 

740 

Share based compensation

(2,533) 

(6,592) 

(5,356) 

Intercompany loan write-off

Other

(22,083) 

(3,888) 

— 

619 

— 

(379) 

Income tax expense (benefit)

$  111,838  $  155,810  $  113,951 

The effect of a change in tax laws or rates on deferred taxes 
assets and liabilities is recognized in income in the period in 
which such change is enacted. 

Deferred  income  tax  assets  and  liabilities  reflect  temporary 
differences  based  on  enacted  tax  rates  between  the  carrying 
amounts  of  assets  and  liabilities  for  financial  reporting  and 
income tax purposes. 

successfully that Arch Capital or its non-U.S. subsidiaries are 
engaged  in  a  trade  or  business  in  the  United  States.  If  Arch 
Capital  or  any  of  its  non-U.S.  subsidiaries  were  subject  to 
U.S.  income  tax,  Arch  Capital’s  shareholders’  equity  and 
earnings could be materially adversely affected. Arch Capital 
has  subsidiaries  and  branches  that  operate  in  various 
jurisdictions  around  the  world  that  are  subject  to  tax  in  the 
jurisdictions 
they  operate.  The  significant 
jurisdictions  in  which  Arch  Capital’s  subsidiaries  and 
branches  are  subject  to  tax  are  the  United  States,  United 
Kingdom,  Ireland,  Canada,  Switzerland,  Australia  and 
Denmark.

in  which 

The  components  of  income  taxes  attributable  to  operations 
were as follows:

Year Ended December 31,
2019

2018

2020

Current expense (benefit):
United States
Non-U.S.

Deferred expense (benefit):
United States
Non-U.S.

Income tax expense

$  181,571  $  139,407  $ 

16,091 
197,662 

4,954 
144,361 

73,078 
12,785 
85,863 

(89,170) 
3,346 
(85,824) 

19,544 
8,544 
28,088 
$  111,838  $  155,810  $  113,951 

11,849 
(400) 
11,449 

The  Company’s  income  or  loss  before  income  taxes  was 
earned in the following jurisdictions:

Year Ended December 31,
2019

2018

2020

Income (Loss) Before Income Taxes:

Bermuda
United States
Other

Total

$  1,114,117  $  1,122,952  $ 

409,893 
53,539 

701,480 
24,678 

$  1,577,549  $  1,849,110  $ 

388,492 
440,823 
12,457 
841,772 

The  expected  tax  provision  computed  on  pre-tax  income  or 
loss  at  the  weighted  average  tax  rate  has  been  calculated  as 
the sum of the pre-tax income in each jurisdiction multiplied 
by  that  jurisdiction’s  applicable  statutory  tax  rate.  The  2020 
applicable statutory tax rates by jurisdiction were as follows: 
Bermuda  (0.0%),  United  States  (21.0  %),  United  Kingdom 
(19.0 %), Ireland (12.5 %), Denmark (22.0 %), Canada (26.5 
%), Gibraltar (10.0 %), Australia (30.0 %), Hong Kong (16.5 
%) and the Netherlands (16.5 %).

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

Significant  components  of  the  Company’s  deferred  income 
tax assets and liabilities were as follows:

At  December  31,  2020,  the  Company’s  net  operating  loss 
carryforwards and tax credits were as follows: 

December 31,

2020

2019

Year Ended December 31,

2020

Expiration

$  67,142  $  30,836 

United Kingdom

$ 

237,277  No expiration

Operating Loss Carryforwards

Deferred income tax assets:

Net operating loss

Uncrystallized losses

AMT credit carryforward

Discounting of net loss reserves

Net unearned premium reserve

Compensation liabilities

Foreign tax credit carryforward

Interest expense

Goodwill and intangible assets

Bad debt reserves

Lease liability

Net unrealized foreign exchange gains
Other, net

2,926 

— 

74,247 

66,368 

27,351 

19,160 

622 

14,450 

1,864 

23,604 

165 
1,725 

1,565 

1,323 

52,582 

64,269 

21,693 

9,521 

— 

11,644 

5,983 

26,438 

598 
206 

Deferred tax assets before valuation allowance

  299,624 

  226,658 

Valuation allowance

(88,255) 

(48,219) 

Deferred tax assets net of valuation allowance

  211,369 

  178,439 

Deferred income tax liabilities:

Depreciation and amortization

Deposit accounting liability

Contingency reserve

Deferred policy acquisition costs

Net unrealized appreciation of investments

Right-of-use asset

Other, net

(495) 

(1,751) 

(1,215) 

(2,169) 

(64,593) 

  (132,831) 

(42,045) 

(66,681) 

(29,847) 

(38,764) 

(19,239) 

(23,416) 

(843) 

(3,680) 

Total deferred tax liabilities

  (195,647) 

  (231,922) 

Net deferred income tax assets (liabilities)

$  15,722  $  (53,483) 

likely 

to  more 

The  Company  provides  a  valuation  allowance  to  reduce 
certain  deferred  tax  assets  to  an  amount  which  management 
expects 
than  not  be  realized.  As  of 
December 31, 2020, the Company’s valuation allowance was 
$88.3  million,  compared  to  $48.2  million  at  December  31, 
2019. The valuation allowance in both periods was primarily 
attributable  to  valuation  allowance  on  the  Company’s  U.K. 
Canadian  and  Australian  operations  and  certain  other 
deferred tax assets relating to loss carryforwards that have a 
limited use.

Ireland

Australia

Hong Kong

Denmark

United States (1)

Tax Credits

U.K. foreign tax credits

U.S. refundable AMT credits

11,336  No expiration

37,995  No expiration

21,094  No expiration

23  No expiration

27,425  2029 - 2038

19,160  No expiration

0  No expiration

(1)  On  January  30,  2014,  the  Company’s  U.S.  mortgage  operations 
underwent  an  ownership  change  for  U.S.  federal  income  tax  purposes  as  a 
result of the Company’s acquisition of the CMG Entities. As a result of this 
ownership  change,  a  limitation  has  been  imposed  upon  the  utilization  of 
approximately  $8.3  million  of  the  Company’s  existing  U.S.  net  operating 
loss  carryforwards.  Utilization  is  limited  to  approximately $0.6  million  per 
year in accordance with Section 382 of the Internal Revenue Code of 1986 
as amended (“the Code”).

The  Company’s  U.S.  mortgage  operations  are  eligible  for  a 
tax  deduction,  subject  to  certain  limitations,  under  Section 
832(e)  of  the  Code  for  amounts  required  by  state  law  or 
regulation  to  be  set  aside  in  statutory  contingency  reserves. 
The deduction is allowed only to the extent that the Company 
purchases  non-interest  bearing  U.S.  Mortgage  Guaranty  Tax 
and Loss Bonds (“T&L Bonds”) issued by the U.S. Treasury 
Department  in  an  amount  equal  to  the  tax  benefit  derived 
from  deducting  any  portion  of  the  statutory  contingency 
reserves.  T&L  Bonds  are  reflected  in  ‘other  assets’  on  the 
Company’s  balance  sheet  and  totaled  approximately  $88.1 
million at December 31, 2020, compared to $207.0 million at 
December 31, 2019.

Deferred  income  tax  liabilities  have  not  been  accrued  with 
respect to the undistributed earnings of the Company's U.S., 
U.K. and Ireland subsidiaries as it is the Company’s intention 
that  all  such  earnings  will  be  indefinitely  reinvested.  If  the 
earnings  were  to  be  distributed,  as  dividends  or  otherwise, 
such  amounts  may  be  subject  to  withholding  tax  in  the 
jurisdiction  of  the  paying  entity.  The  Company  no  longer 
intends to indefinitely reinvest earnings from the Company's 
Canada subsidiary, however, no income or withholding taxes 
have  been  accrued  as  the  Canada  subsidiary  does  not  have 
positive  cumulative  earnings  and  profits  and  therefore  a 
distribution  from  this  particular  subsidiary  would  not  be 
subject  to  income  taxes  or  withholding  taxes.  Potential  tax 
implications  of  repatriation  from  the  Company’s  unremitted 
earnings that are indefinitely reinvested are driven by facts at 
the  time  of  distribution.  Therefore  it  is  not  practicable  to 
estimate  the  income  tax  liabilities  that  might  be  incurred  if 

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

such  earnings  were  remitted.  Distributions  from  the  U.K.  or 
Ireland  would  not  be  subject  to  withholding  tax  and  no 
deferred income tax liability would need to be accrued. 

The  Company  recognizes  interest  and  penalties  relating  to 
unrecognized tax benefits in the provision for income taxes. 
As of December 31, 2020, the Company’s total unrecognized 
tax  benefits,  including  interest  and  penalties,  were  $2.0 
million.  If  recognized,  the  full  amount  of  the  unrecognized 
tax  benefit  would  impact  the  consolidated  effective  tax  rate. 
A  reconciliation  of  the  beginning  and  ending  amount  of 
unrecognized tax benefits is as follows:

December 31,

2020

2019

Balance at beginning of year

$ 

2,008  $ 

2,008 

Additions based on tax positions related to the 
current year

Additions for tax positions of prior years

Reductions for tax positions of prior years

Settlements

Balance at end of year

— 

— 

— 

— 

— 

— 

— 

— 

$ 

2,008  $ 

2,008 

The Company or its subsidiaries or branches files income tax 
returns in the U.S. federal jurisdiction and various state, local 
and foreign jurisdictions. The following table details open tax 
years that are potentially subject to examination by local tax 
authorities, in the following major jurisdictions:

Jurisdiction

United States
United Kingdom
Ireland
Canada
Switzerland
Denmark
Australia

Tax Years
2015-2020
2019-2020
2016-2020
2016-2020
2017-2020
2016-2020
2016-2020

As of December 31, 2020, the Company’s current income tax 
payable (included in “Other liabilities”) was $9.2 million.

16.  Transactions with Related Parties

In  2017,  the  Company  acquired  approximately  25%  of 
Premia  Holdings  Ltd.  Premia  Holdings  Ltd.  is  the  parent  of 
Premia  Reinsurance  Ltd.,  a  multi-line  Bermuda  reinsurance 
company  (together  with  Premia  Holdings  Ltd.,  “Premia”). 
Premia’s  strategy  is  to  reinsure  or  acquire  companies  or 
reserve  portfolios  in  the  non-life  property  and  casualty 
insurance and reinsurance run-off market. Arch Re Bermuda 
and  certain  Arch  co-investors  invested  $100.0  million  and 
acquired approximately 25% of Premia as well as warrants to 
purchase additional common equity. Arch has appointed two 
directors  to  serve  on  the  seven  person  board  of  directors  of 
Premia.  Arch  Re  Bermuda  is  providing  a  25%  quota  share 
reinsurance treaty on certain business written by Premia. 

In  the  2019  fourth  quarter,  Barbican  entered  into  certain 
reinsurance and related transactions with Premia pursuant to 
which Premia assumed a transfer of liability for the 2018 and 
prior  years  of  account  of  Barbican  as  of  July  1,  2019. 
Barbican  recorded  reinsurance  recoverable  on  unpaid  and 
paid  losses  and  funds  held  liability  of  $199.8  million  and 
$149.6 million, respectively at December 31, 2020, compared 
to  $177.7  million  and  $180.0  million,  respectively,  at 
December 31, 2019. 

In  the  2020  fourth  quarter,  Arch  Capital  and  Arch  Re 
Bermuda entered into agreements pursuant to which Arch Re 
Bermuda,  together  with  certain  co-investors,  expect  to 
acquire  all  of  the  common  shares  of  Watford  Holdings  Ltd, 
subject to customary closing conditions including regulatory 
and  shareholder  approval.  See  note  12,  “Variable  Interest 
Entity and Noncontrolling Interests.”

Certain directors and executive officers of the Company own 
common  and  preference  shares  of  Watford.  See  note  12, 
“Variable  Interest  Entity  and  Noncontrolling  Interests,”  for 
information about Watford. 

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17.  Leases

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

In the ordinary course of business, the Company renews and 
enters into new leases for office property and equipment. At 
the lease inception date, the Company determines whether a 
contract contains a lease and its classification as a finance or 
operating  lease.  Primarily  all  of  the  Company’s  leases  are 
classified  as  operating  leases.  The  Company’s  operating 
leases have remaining lease terms of up to 10 years, some of 
which include options to extend the lease term. The Company 
considers these options when determining the lease term and 
measuring  its  lease  liability  and  right-of-use  asset.  In 
addition, the Company’s lease agreements do not contain any 
material  residual  value  guarantees  or  material  restrictive 
covenants.

Short-term  operating  leases  with  an  initial  term  of  twelve 
months or less were excluded on the Company's consolidated 
balance  sheet  and  represent  an  inconsequential  amount  of 
operating lease expense. 

As most leases do not provide an implicit rate, the Company 
uses its incremental borrowing rate based on the information 
available at the lease commencement date in determining the 
present value of lease payments. 

Additional  information  regarding  the  Company’s  operating 
leases is as follows:

Operating lease costs

Cash payments included in the 
measurement of lease liabilities 
reported in operating cash flows

Right-of-use assets obtained in 
exchange for new lease liabilities

Right-of-use assets (1)

Operating lease liability (1)

December 31,

2020
31,826 

30,365 

12,060 

115,911 

136,015 

$ 

$ 

$ 

$ 

$ 

2019
30,478 

27,521 

7,445 

131,661 

150,519 

$ 

$ 

$ 

$ 

$ 

Weighted average discount rate

 3.9 %

 3.9 %

Weighted average remaining lease 
term

5.8 years

6.4 years

(1)  The  right-of-use  assets  are  included  in  ‘other  assets’  while  the 

operating lease liability is included in ‘other liabilities.’

The following table presents the contractual maturities of the 
Company's operating lease liabilities at December 31, 2020:

Years Ending December 31,
2021
2022
2023
2024
2025
2026 and thereafter

Total undiscounted lease liability

Less: present value adjustment
Operating lease liability

$ 

32,309 
30,357 
25,828 
19,480 
13,017 
31,318 
152,309 
(16,294) 
136,015 

All  of  these  leases  are  for  the  rental  of  office  space,  with 
expiration  terms  that  range  from  2021  to  2030.  Rental 
expense was approximately $31.8 million, $30.5 million and 
$27.6 million for 2020, 2019 and 2018, respectively.

At December 31, 2020, the Company has entered into certain 
financing lease agreements. The future lease payments for the 
Company’s  financing  leases  are  expected  to  be  $2.1  million 
for 2021.

18.  Commitments and Contingencies

Concentrations of Credit Risk

The  creditworthiness  of  a  counterparty  is  evaluated  by  the 
Company,  taking  into  account  credit  ratings  assigned  by 
independent  agencies.  The  credit  approval  process  involves 
an  assessment  of  factors,  including,  among  others,  the 
counterparty,  country  and  industry  credit  exposure  limits. 
Collateral may be required, at the discretion of the Company, 
on  certain  transactions  based  on  the  creditworthiness  of  the 
counterparty.

losses  and 

The areas where significant concentrations of credit risk may 
exist  include  unpaid  losses  and  loss  adjustment  expenses 
recoverable,  contractholder  receivables,  ceded  unearned 
premiums,  paid 
loss  adjustment  expenses 
recoverable net of reinsurance balances payable, investments 
and  cash  and  cash  equivalent  balances.  A  credit  exposure 
exists  with  respect  to  reinsurance  recoverables  as  they  may 
become  uncollectible.  The  Company  manages  its  credit  risk 
in its reinsurance relationships by transacting with reinsurers 
that  it  considers  financially  sound  and,  if  necessary,  the 
Company  may  hold  collateral  in  the  form  of  funds,  trust 
accounts  and/or  irrevocable  letters  of  credit.  This  collateral 
can  be  drawn  on  for  amounts  that  remain  unpaid  beyond 
specified  time  periods  on  an  individual  reinsurer  basis.  In 
addition, certain insurance policies written by the Company’s 
insurance operations feature large deductibles, primarily in its 
construction  and  national  accounts  lines  of  business.  Under 
such contracts, the Company is obligated to pay the claimant 
is 
for 

the  claim.  The  Company 

the  full  amount  of 

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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

the  policyholder  for 

subsequently  reimbursed  by 
the 
deductible  amount.  These  amounts  are  included  on  a  gross 
basis  in  the  consolidated  balance  sheet  in  contractholder 
payables  and  contractholder  receivables,  respectively.  In  the 
event  that  the  Company  is  unable  to  collect  from  the 
liable  for  such 
policyholder, 
defaulted amounts. Collateral, primarily in the form of letters 
of credit, cash and trusts, is obtained from the policyholder to 
mitigate the Company’s credit risk. In the instances where the 
company  receives  collateral  in  the  form  of  cash,  the 
Company  records  a  related  liability  in  “Collateral  held  for 
insured obligations.”

the  Company  would  be 

In addition, the Company underwrites a significant amount of 
its  business  through  brokers  and  a  credit  risk  exists  should 
any  of  these  brokers  be  unable  to  fulfill  their  contractual 
obligations  with  respect  to  the  payments  of  insurance  and 
reinsurance  balances  owed  to  the  Company.  The  following 
table  summarizes  the  percentage  of  the  Company’s  gross 
premiums  written  generated  from  or  placed  by  the  largest 
brokers:

Broker

Marsh & McLennan Companies 
and its subsidiaries

Aon Corporation and its 
subsidiaries

Year Ended December 31,

2020

2019

2018

 13.3 %

 9.6 %

 9.3 %

 12.0 %

 12.2 %

 11.4 %

No  other  broker  and  no  one  insured  or  reinsured  accounted 
for more than 10% of gross premiums written for 2020, 2019 
and 2018.

The  Company’s  available  for  sale  investment  portfolio  is 
managed  in  accordance  with  guidelines  that  have  been 
tailored  to  meet  specific  investment  strategies,  including 
standards  of  diversification,  which  limit  the  allowable 
holdings  of  any  single  issue.  There  were  no  investments  in 
any entity in excess of 10% of the Company’s shareholders’ 
equity at December 31, 2020 other than investments issued or 
guaranteed by the United States government or its agencies.

Investment Commitments

investment  commitments,  which  are 
The  Company’s 
primarily related to agreements entered into by the Company 
to  invest  in  funds  and  separately  managed  accounts  when 
called upon, were approximately $2.1 billion and $1.7 billion 
at December 31, 2020 and 2019, respectively.

Purchase Obligations

The Company has also entered into certain agreements which 
commit  the  Company  to  purchase  goods  or  services, 
primarily related to software and computerized systems. Such 
purchase  obligations  were  approximately  $73.0  million  and 
$55.6 million at December 31, 2020 and 2019, respectively.

Employment and Other Arrangements

At  December  31,  2020,  the  Company  has  entered  into 
employment agreements with certain of its executive officers. 
Such employment arrangements provide for compensation in 
the  form  of  base  salary,  annual  bonus,  share-based  awards, 
participation  in  the  Company’s  employee  benefit  programs 
and the reimbursements of expenses.

19.  Debt and Financing Arrangements

The Company’s senior notes payable at December 31, 2020 
and 2019 were as follows:

2034 notes (1)
2043 notes (2)
2026 notes (3)
2046 notes (4)
2050 notes (5)
Watford notes (6)

Carrying Amount at
December 31,

Principal
Amount

Interest
(Fixed)
300,000 
 7.350 %  
500,000 
 5.144 %  
500,000 
 4.011 %  
 5.031 %  
450,000 
 3.635 %   1,000,000 
140,000 
 6.500 %  

2019
2020
  297,254 
  297,367 
  494,831 
  494,944 
  496,806 
  497,211 
  445,317 
  445,402 
— 
  988,500 
  137,418 
  137,689 
$  2,890,000  $ 2,861,113  $ 1,871,626 

(1) Senior notes of Arch Capital issued on May 4, 2004 and due May 1, 2034 
(“2034 notes”).

(2)  Senior  notes  of  Arch-U.S.,  a  wholly-owned  subsidiary  of  Arch  Capital, 
issued  on  December  13,  2013  and  due  November  1,  2043  (“2043  notes”), 
fully and unconditionally guaranteed by Arch Capital. 

(3) Senior notes of Arch Capital Finance LLC (“Arch Finance”), a wholly-
owned finance subsidiary of Arch Capital, issued on December 8, 2016 and 
due  December  15,  2026  (“2026  notes”),  fully  and  unconditionally 
guaranteed by Arch Capital.

(4)  Senior  notes  of  Arch  Finance  issued  on  December  8,  2016  and  due 
December 15, 2046 (“2046 notes”), fully and unconditionally guaranteed by 
Arch Capital

(5) Senior notes of Arch Capital issued on June 30, 2020 and due June 30, 
2050.

(6)  Senior  notes  of  Watford  issued  on  July  2,  2019  and  due  July  2,  2029, 
reflecting the elimination of amounts owned by Arch-U.S.

The  2034  notes  are  Arch  Capital’s  senior  unsecured 
obligations and rank equally with all of its existing and future 
senior unsecured indebtedness. Interest payments on the 2034 
notes  are  due  on  May  1st  and  November  1st  of  each  year. 
Arch  Capital  may  redeem  the  2034  notes  at  any  time  and 
from  time  to  time,  in  whole  or  in  part,  at  a  “make-whole” 
redemption price. 

ratably  with 

The 2043 notes are unsecured and unsubordinated obligations 
of  Arch-U.S.  and  Arch  Capital,  respectively,  and  rank 
equally  and 
the  other  unsecured  and 
unsubordinated indebtedness of Arch-U.S. and Arch Capital, 
respectively. Interest payments on the 2043 notes are due on 
May  1st  and  November  1st  of  each  year.  Arch-U.S.  may 
redeem the 2043 notes at any time and from time to time, in 
whole or in part, at a “make-whole” redemption price. 

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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

ratably  with 

The 2026 notes are unsecured and unsubordinated obligations 
of  Arch  Finance  and  Arch  Capital,  respectively,  and  rank 
equally  and 
the  other  unsecured  and 
unsubordinated  indebtedness  of  Arch  Finance  and  Arch 
Capital, respectively. Interest payments on the 2026 notes are 
due  on  June  15th  and  December  15th  of  each  year.  Arch 
Finance  may  redeem  the  2026  notes  at  any  time  and  from 
time  to  time,  in  whole  or  in  part,  at  a  “make-whole” 
redemption price.

ratably  with 

The 2046 notes are unsecured and unsubordinated obligations 
of  Arch  Finance  and  Arch  Capital,  respectively,  and  rank 
equally  and 
the  other  unsecured  and 
unsubordinated  indebtedness  of  Arch  Finance  and  Arch 
Capital, respectively. Interest payments on the 2046 notes are 
due  on  June  15th  and  December  15th  of  each  year.  Arch 
Finance  may  redeem  the  2046  notes  at  any  time  and  from 
time  to  time,  in  whole  or  in  part,  at  a  “make-whole” 
redemption price.

On June 30, 2020, Arch Capital completed a public offering 
of  $1.0  billion  aggregate  principal  amount  of  its  3.635% 
senior notes with a scheduled maturity of June 30, 2050 (the 
“2050  notes”).  The  2050  notes  are  Arch  Capital’s  senior 
unsecured obligations and rank equally with all of its existing 
and  future  senior  unsecured  indebtedness.  Interest  payments 
on the 2050 notes are due semi-annually in arrears on June 30 
and  December  30,  beginning  on  December  30,  2020,  to 
holders of record on the preceding June 15 or December 15, 
as the case may be. Interest will be calculated on the basis of 
a  360-day  year  of  twelve  30-day  months.  Subject  to 
conditions of redemption, Arch Capital may redeem the 2050 
notes  at  any  time  and  from  time  to  time  prior  to  December 
30, 2049, in whole or in part, at a redemption price equal to 
the “make-whole” redemption price, plus accrued and unpaid 
interest thereon to, but excluding, the redemption date. 

On  July  2,  2019,  Watford  completed  an  offering  of  $175.0 
million  in  aggregate  principal  amount  of  its  6.5%  senior 
notes, due July 2, 2029 (“Watford Senior Notes”). Interest on 
the  Watford  Senior  Notes  will  be  paid  semi-annually  in 
arrears on each January 2 and July 2, commencing January 2, 
2020.  The  $172.3  million  net  proceeds  from  the  offering 
were used to redeem a portion of Watford Preference Shares. 
The Company purchased $35.0 million in aggregate principal 
amount of the Watford Senior Notes.

Letter of Credit and Revolving Credit Facilities

In  the  normal  course  of  its  operations,  the  Company  enters 
into  agreements  with  financial  institutions  to  obtain  secured 
and unsecured credit facilities.

On  December  17,  2019,  Arch  Capital  and  certain  of  its 
subsidiaries  entered  into  a  $750.0  million  five-year  credit 
facility  (the  “Credit  Facility”)  with  a  syndication  of  lenders. 

The  Credit  Facility  consists  of  a  $250.0  million  secured 
facility  for  letters  of  credit  (the  “Secured  Facility”)  and  a 
$500.0  million  unsecured  facility  for  revolving  loans  and 
letters  of  credit  (the  “Unsecured  Facility”).  Obligations  of 
each borrower under the Secured Facility for letters of credit 
are  secured  by  cash  and  eligible  securities  of  such  borrower 
held  in  collateral  accounts.  Commitments  under  the  Credit 
Facility  may  be  increased  up  to,  but  not  exceeding,  an 
aggregate of $1.3 billion. Arch Capital has a one-time option 
to  convert  any  or  all  outstanding  revolving  loans  of  Arch 
Capital  and/or  Arch-U.S.  to  term  loans  with  the  same  terms 
as the revolving loans except that any prepayments may not 
be  re-borrowed.  Arch-U.S.  guarantees  the  obligations  of 
Arch Capital, and Arch Capital guarantees the obligations of 
Arch-U.S.  Borrowings  of  revolving  loans  may  be  made  at  a 
variable  rate  based  on  LIBOR  or  an  alternative  base  rate  at 
the option of Arch Capital. Arch Capital and its lenders may 
agree  on  a  LIBOR  successor  rate  at  the  appropriate  time  to 
address  the  replacement  of  LIBOR.  Secured  letters  of  credit 
are  available  for  issuance  on  behalf  of  certain  Arch  Capital 
subsidiaries.  The  Credit  Facility  is  structured  such  that  each 
party that requests a letter of credit or borrowing does so only 
for itself and its own obligations.

The  Credit  Facility  contains  certain  restrictive  covenants 
customary for facilities of this type, including restrictions on 
indebtedness,  consolidated  tangible  net  worth,  minimum 
shareholders’  equity  levels  and  minimum  financial  strength 
ratings.  Arch  Capital  and  its  subsidiaries  which  are  party  to 
the  agreement  were  in  compliance  with  all  covenants 
contained therein at December 31, 2020.

Commitments  under  the  Credit  Facility  will  expire  on 
December  17,  2024,  and  all  loans  then  outstanding  must  be 
repaid.  Letters  of  credit  issued  under  the  Unsecured  Facility 
will  not  have  an  expiration  date  later  than  December  17, 
2025.

Under  the  $250.0  million  secured  letter  of  credit  facility, 
Arch  Capital’s  subsidiaries  had  $218.4  million  of  letters  of 
credit outstanding and remaining capacity of $31.6 million at 
December  31,  2020.  In  addition,  certain  of  Arch  Capital’s 
subsidiaries had outstanding secured and unsecured letters of 
credit  of  $250.0  million  and  $26.2  million  respectively, 
which were issued in the normal course of business.

When  issued,  all  secured  letters  of  credit  are  secured  by  a 
portion  of  the  investment  portfolio.  At  December  31,  2020, 
these letters of credit were secured by investments with a fair 
value of $262.4 million.

Watford has access to a $100 million secured letter of credit 
facility  expiring  on  May  16,  2021,  a  $50  million  unsecured 
letter of credit facility which auto extends on September 17, 
2021  and  a  $440  million  secured  credit  facility  expiring  on 
November  30,  2021  that  provides  for  borrowings  and  the 

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issuance  of  letters  of  credit  not  to  exceed  $220  million. 
Borrowings of revolving loans may be made by Watford at a 
variable  rate  based  on  LIBOR  or  an  alternative  base  rate  at 
the  option  of  Watford.  At  December  31,  2020,  Watford  had 
$126.0  million  in  outstanding  letters  of  credit  under  the 
facilities and $155.7 million of borrowings outstanding under 
the  secured  credit  facility,  backed  by  Watford’s  investment 
portfolio.  Watford  was  in  compliance  with  all  covenants 
contained in these credit facilities at December 31, 2020. The 
Company  does  not  guarantee  or  provide  credit  support  for 
Watford, and the Company’s financial exposure to Watford is 
limited to its investment in Watford’s senior notes, common 
and  preferred  shares  and  counterparty  credit  risk  (mitigated 
by collateral) arising from the reinsurance transactions.

The  Company’s  outstanding  revolving  credit  agreement 
borrowings were as follows:

Arch Capital

Watford

Total

Year Ended December 31,

2020

2019

$ 

$ 

—  $ 

155,687 

155,687  $ 

— 

484,287 

484,287 

20.  Goodwill and Intangible Assets

The following table shows an analysis of goodwill and 
intangible assets:

Intangible 
assets 
(indefinite 
life)

Intangible 
assets (finite 
life)

Total

Goodwill

$  249,620  $  61,874  $  323,426  $  634,920 

74,780 

24,431 

82,482 

  181,693 

— 

— 

— 

(82,104) 

(82,104) 

(1,000) 

— 

(1,000) 

2,151 

606 

1,817 

4,574 

  326,551 

85,911 

  325,621 

  738,083 

— 

— 

— 

— 

— 

— 

39,178 

39,178 

(69,031) 

(69,031) 

— 

— 

(11,922) 

(6,692) 

3,247 

(15,367) 

$  314,629  $  79,219  $  299,015  $  692,863 

$  318,043  $  77,896  $  784,921  $ 1,180,860 

— 

— 

  (489,828) 

  (489,828) 

(3,414) 

1,323 

3,922 

1,831 

$  314,629  $  79,219  $  299,015  $  692,863 

Net balance at 
Dec. 31, 2018

Acquisitions

Amortization

Impairment (1)

Foreign currency 
movements and 
other adjustments

Net balance at 
Dec. 31, 2019

Acquisitions (2)

Amortization

Impairment
Foreign currency 
movements and 
other adjustments

Net balance at 
Dec. 31, 2020

Gross balance at 
Dec. 31, 2020

Accumulated 
amortization
Foreign currency 
movements and 
other adjustments

Net balance at 
Dec. 31, 2020

(1)  The  impairment  to  the  indefinite-lived  intangible  assets  during  the 
year  ended  December  31,  2019  of  $1.0  million  related  to  insurance 
licenses from the acquisition of UGC.

(2)  Certain amounts for the Company’s 2020 acquisitions are considered 

provisional.

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The following table presents the components of goodwill and 
intangible assets:

did  not  result  in  the  recognition  of  impairment  losses  for 
2020 and 2019.

Gross 
Balance

Accumulated
Amortization

Foreign 
Currency 
Translation 
Adjustment 
and Other

21.  Shareholders’ Equity

Net
Balance

Authorized and Issued

$  451,505  $ 

(381,349)  $ 

284  $  70,440 

The  authorized  share  capital  of  Arch  Capital  consists  of  1.8 
billion Common Shares, par value of $0.0011 per share, and 
50 million Preferred Shares, par value of $0.01 per share.

52,674 

(44,347) 

60 

8,387 

Common Shares

Dec. 31, 2020

Acquired 
insurance 
contracts

Operating 
platform

Distribution 
relationships

Goodwill

Insurance 
licenses

Syndicate 
capacity

Unfavorable 
service contract

Other

Total

Dec. 31, 2019

Acquired 
insurance 
contracts

Operating 
platform

Distribution 
relationships

Goodwill

Insurance 
licenses

Syndicate 
capacity

Unfavorable 
service contract

Other

Total

  285,141 

  318,043 

55,981 

21,915 

(9,533) 

5,134 

(71,383) 

3,450 

  217,208 

— 

— 

— 

(3,414) 

  314,629 

— 

55,981 

1,324 

23,239 

9,147 

(1,896) 

— 

127 

(386) 

3,365 

$ 1,180,860  $ 

(489,828)  $ 

1,831  $  692,863 

$  452,470  $ 

(336,559)  $ 

310  $  116,221 

52,674 

(39,571) 

(259) 

12,844 

  243,838 

  331,448 

63,390 

21,915 

(9,533) 

5,134 

(50,542) 

212 

  193,508 

— 

— 

— 

(4,897) 

  326,551 

— 

63,390 

605 

22,520 

8,657 

(1,279) 

— 

70 

(876) 

3,925 

$ 1,161,336  $ 

(419,294)  $ 

(3,959)  $  738,083 

The  estimated  remaining  amortization  expense  for  the 
Company’s intangible assets with finite lives is as follows:

2021
2022
2023
2024
2025
2026 and thereafter

Total

$ 

$ 

56,269 
42,211 
40,014 
34,985 
19,919 
105,617 
299,015 

The  estimated  remaining  useful  lives  of  these  assets  range 
from one to sixteen years at December 31, 2020. 

Other than the impairments described above, the Company’s 
annual impairment reviews for goodwill and intangible assets 

The  following  table  presents  a  roll-forward  of  changes  in 
Arch Capital’s issued and outstanding Common Shares:

Year Ended December 31,
2019

2018

2020

Common Shares:
Shares issued and 
outstanding, beginning 
of year

  574,617,195 

  570,737,283 

  549,872,226 

Shares issued (1)

2,646,164 

2,835,994 

2,757,506 

Conversion of Series D 
preferred shares (2)

Restricted shares issued, 
net of cancellations

Shares issued and 
outstanding, end of year

Common shares in 
treasury, end of year

Shares issued and 
outstanding, end of year

— 

— 

  17,022,600 

1,737,482 

1,043,918 

1,084,951 

  579,000,841 

  574,617,195 

  570,737,283 

 (172,280,199) 

 (168,997,994) 

 (168,282,449) 

  406,720,642 

  405,619,201 

  402,454,834 

(1)

(2) 

Includes  shares  issued  from  the  exercise  of  stock  options  and  stock 
appreciation  rights,  the  vesting  of  restricted  share  units  and  shares 
issued from the employee share purchase plan. 
Such  shares  represent  common  shares  that  were  issued  upon 
conversion  of  the  non-voting  common  equivalent  preference  shares 
issued in connection with the AIG acquisition.

Three-For-One Common Share Split

In May 2018, shareholders approved a proposal to amend the 
memorandum  of  association  by  sub-dividing  the  authorized 
common shares of Arch Capital to effect a three-for-one split 
of  Arch  Capital’s  common  shares.  The  share  split  changed 
the  Company’s  authorized  common  shares  to  1.8  billion 
common shares (600 million previously), with a par value of 
$.0011 per share ($.0033 previously). Information pertaining 
to  the  composition  of  the  Company’s  shareholders’  equity 
accounts, shares and earnings per share has been retroactively 
restated  in  the  accompanying  financial  statements  and  notes 
to  the  consolidated  financial  statements  to  reflect  the  share 
split.

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Share Repurchase Program

The  board  of  directors  of  Arch  Capital  has  authorized  the 
investment in Arch Capital’s common shares through a share 
repurchase  program.  At  December  31,  2020,  $916.5  million 
of  share  repurchases  were  available  under  the  program. 
Repurchases under the program may be effected from time to 
time  in  open  market  or  privately  negotiated  transactions 
through  December  31,  2021.  The  timing  and  amount  of  the 
repurchase transactions under this program will depend on a 
variety of factors, including market conditions and corporate 
and  regulatory  considerations.  See  note  27,  “Subsequent 
Events”.

Repurchases of Arch Capital’s common shares in connection 
with  the  share  repurchase  plan  and  other  share-based 
transactions were held in the treasury under the cost method, 
and  the  cost  of  the  common  shares  acquired  is  included  in 
‘Common shares held in treasury, at cost.’ At December 31, 
2020, Arch Capital held 172.3 million shares for an aggregate 
cost of $2.5 billion in treasury, at cost.

The  Company’s  repurchases  under  the  share  repurchase 
program were as follows:

Year Ended December 31,
2019

2018

2020

Aggregate cost of shares 
repurchased

$ 

83,472  $ 

2,871  $ 

282,762 

Shares repurchased

  2,850,102 

110,598 

  10,559,850 

Average price per share 
repurchased

$ 

29.29  $ 

25.96  $ 

26.78 

Since the inception of the share repurchase program through 
December  31,  2020,  Arch  Capital  has 
repurchased 
approximately 389.2 million common shares for an aggregate 
purchase price of $4.1 billion. 

Convertible  Non-Voting  Common  Equivalent  Preferred 
Shares

On  December  31,  2016,  the  Company  completed  the 
acquisition of all of the outstanding shares of capital stock of 
UGC. Based upon a formula set forth in the Stock Purchase 
Agreement, AIG received 1,276,282 of Arch Capital’s Series 
D  convertible  non-voting  common  equivalent  preferred 
shares (“Series D Preferred Shares”). Each Series D Preferred 
Share  converts  to  10  shares  of  Arch  Capital  fully  paid  non-
assessable common stock. 

The  Company  determined,  based  on  a  review  of  the  terms 
features and rights of the Series D preferred shares compared 
to  the  rights  of  the  Company’s  common  shareholders,  the 
underlying  38,288,460  common  shares  that  the  convertible 
securities  convert  to  were  common  share  equivalents  at  the 
time of their issuance. 

In June 2017, Arch Capital completed an underwritten public 
secondary  offering  of  21,265,860  common  shares  by  AIG 
following  transfer  of  708,862  Series  D  Preferred  Shares.  In 
March 2018, Arch Capital completed an underwritten public 
secondary  offering  of  17,022,600  common  shares  by  AIG 
following  transfer  of  567,420  Series  D  Preferred  Shares. 
Proceeds  from  the  sale  of  common  shares  pursuant  to  the 
public offering were received by AIG. At December 31, 2020 
and 2018, no Series D Preferred Shares were outstanding.

Series F Preferred Shares

In August 2017 and November 2017, Arch Capital completed 
combined  $330  million  of  underwritten  public  offerings 
($230 million in August 2017 and $100 million in November 
2017)  of  13.2  million  depositary  shares  (the  “Series  F 
Depositary  Shares”),  each  of  which  represents  a  1/1,000th 
interest  in  a  share  of  its  5.45%  Non-Cumulative  Preferred 
Shares,  Series  F,  with  a  $0.01  par  value  and  $25,000 
liquidation  preference  per  share 
to  $25 
liquidation  preference  per  Series  F  Depositary  Share)  (the 
“Series F Preferred Shares”). Each Series F Depositary Share, 
evidenced by a depositary receipt, entitles the holder, through 
the  depositary,  to  a  proportional  fractional  interest  in  all 
rights  and  preferences  of  the  Series  F  Preferred  Shares 
represented  thereby  (including  any  dividend,  liquidation, 
redemption and voting rights). 

(equivalent 

Holders  of  Series  F  Preferred  Shares  will  be  entitled  to 
receive dividend payments only when, as and if declared by 
our board of directors or a duly authorized committee of the 
board.  Any  such  dividends  will  be  payable  from,  and 
including, the date of original issue on a noncumulative basis, 
quarterly in arrears on the last day of March, June, September 
and  December  of  each  year,  at  an  annual  rate  of  5.45%. 
the  Series  F  Preferred  Shares  are  not 
Dividends  on 
cumulative.  The  Company  will  be  restricted  from  paying 
dividends  on  or  repurchasing  its  common  shares  unless 
certain dividend payments are made on the Series F Preferred 
Shares. 

Except  in  specified  circumstances  relating  to  certain  tax  or 
corporate  events,  the  Series  F  Preferred  Shares  are  not 
redeemable prior to August 17, 2022 (the fifth anniversary of 
the issue date). On and after that date, the Series F Preferred 
Shares will be redeemable at the Company’s option, in whole 
or in part, at a redemption price of $25,000 per share of the 
Series  F  Preferred  Shares  (equivalent  to  $25  per  depositary 
share),  plus  any  declared  and  unpaid  dividends,  without 
accumulation of any undeclared dividends to, but excluding, 
the redemption date. The Series F Depositary Shares will be 
redeemed  if  and  to  the  extent  the  related  Series  F  Preferred 
Shares  are  redeemed  by  the  Company.  Neither  the  Series  F 
Depositary  Shares  nor  the  Series  F  Preferred  Shares  have  a 
stated maturity, nor will they be subject to any sinking fund 
or mandatory redemption. The Series F Preferred Shares are 

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not  convertible  into  any  other  securities.  The  Series  F 
Preferred  Shares  will  not  have  voting  rights,  except  under 
limited  circumstances.  The  net  proceeds  from  the  Series  F 
Preferred  Share  offerings  were  used 
the 
Company’s  outstanding  6.75%  Series  C  Non-Cumulative 
Preferred Shares.

redeem 

to 

Series E Preferred Shares

On  September  29,  2016,  Arch  Capital  completed  a  $450 
million  underwritten  public  offering  of  18.0  million 
depositary shares (the “Series E Depositary Shares”), each of 
which represents a 1/1,000th interest in a share of its 5.25% 
Non-Cumulative Preferred Shares, Series E, with a $0.01 par 
liquidation  preference  per  share 
value  and  $25,000 
(equivalent  to  $25  liquidation  preference  per  Series  E 
Depositary  Share)  (the  “Series  E  Preferred  Shares”).  Each 
Series E Depositary Share, evidenced by a depositary receipt, 
entitles  the  holder,  through  the  depositary,  to  a  proportional 
fractional interest in all rights and preferences of the Series E 
Preferred  Shares 
(including  any 
represented 
dividend, liquidation, redemption and voting rights).

thereby 

Holders  of  Series  E  Preferred  Shares  will  be  entitled  to 
receive dividend payments only when, as and if declared by 
our board of directors or a duly authorized committee of the 
board.  Any  such  dividends  will  be  payable  from,  and 
including,  the  date  of  original  issue  on  a  non-cumulative 
basis,  quarterly  in  arrears  on  the  last  day  of  March,  June, 
September  and  December  of  each  year,  at  an  annual  rate  of 
5.25%.  Dividends  on  the  Series  E  Preferred  Shares  are  not 
cumulative.  The  Company  will  be  restricted  from  paying 
dividends  on  or  repurchasing  its  common  shares  unless 
certain dividend payments are made on the Series E preferred 
shares. 

(the 

to  September  29,  2021 

Except  in  specified  circumstances  relating  to  certain  tax  or 
corporate  events,  the  Series  E  Preferred  Shares  are  not 
redeemable  prior 
fifth 
anniversary  of  the  issue  date).  On  and  after  that  date,  the 
Series  E  Preferred  Shares  will  be  redeemable  at  the 
Company’s option, in whole or in part, at a redemption price 
of  $25,000  per  share  of  the  Series  E  Preferred  Shares 
(equivalent  to  $25  per  Series  E  Depositary  Share),  plus  any 
declared and unpaid dividends, without accumulation of any 
undeclared dividends to, but excluding, the redemption date. 
The  Series  E  Depositary  Shares  will  be  redeemed  if  and  to 
the extent the related Series E Preferred Shares are redeemed 
by the Company. Neither the Series E Depositary Shares nor 
the Series E Preferred Shares have a stated maturity, nor will 
they be subject to any sinking fund or mandatory redemption. 
The  Series  E  Preferred  Shares  are  not  convertible  into  any 
other securities. The Series E Preferred Shares will not have 
voting rights, except under limited circumstances. 

Series C Preferred Shares

On  January  2,  2018,  Arch  Capital  redeemed  all  outstanding 
6.75%  Series  C  non-cumulative  preferred  shares.  The 
preferred  shares  were  redeemed  at  a  redemption  price  equal 
to  $25  per  share,  plus  all  declared  and  unpaid  dividends  to 
(but  excluding)  the  redemption  date.  In  accordance  with 
GAAP,  following  the  redemption,  original  issuance  costs 
related  to  such  shares  have  been  removed  from  additional 
paid-in  capital  and  recorded  as  a  “loss  on  redemption  of 
preferred  shares.”  Such  adjustment  had  no  impact  on  total 
shareholders’ equity or cash flows.

22.  Share-Based Compensation 

Long Term Incentive and Share Award Plans

The  Company  utilizes  share-based  compensation  plans  for 
officers,  other  employees  and  directors  of  Arch  Capital  and 
its  subsidiaries 
to  provide  competitive  compensation 
opportunities,  to  encourage  long-term  service,  to  recognize 
individual  contributions  and 
reward  achievement  of 
performance  goals  and  to  promote  the  creation  of  long-term 
value  for  shareholders  by  aligning  the  interests  of  such 
persons with those of shareholders.

for 

the 

issuance  of 

The  2018  Long-Term  Incentive  and  Share  Award  Plan  (the 
“2018 Plan”) became effective as of May 9, 2018 following 
approval  by  shareholders  of  the  Company.  The  2018  Plan 
provides 
restricted  stock  units, 
performance  units,  restricted  shares,  performance  shares, 
stock options and stock appreciation rights and other equity-
based awards to our employees and directors. The 2018 Plan 
authorizes  the  issuance  of  34,500,000  common  shares  and 
will terminate as to future awards on February 28, 2028. At 
December  31,  2020,  17,284,108  shares  are  available  for 
future issuance.

The  2015  Long  Term  Incentive  and  Share  Award  Plan  (the 
(“2015 Plan”) authorizes the issuance of 12,900,000 common 
shares  and  became  effective  as  of  May  7,  2015  following 
approval  by  shareholders  of  the  Company.  The  2015  Plan 
provides  for  the  issuance  of  share-based  awards  to  our 
employees  and  directors  and  will  terminate  as  to  future 
awards  on  February  26,  2025.  At  December  31,  2020, 
555,759 shares are available for future issuance.

The  2012  Long  Term  Incentive  and  Share  Award  Plan  (the 
“2012 Plan”) became effective as of May 9, 2012 following 
approval  by  shareholders  of  the  Company.  The  2012  Plan 
authorizes  the  issuance  of  22,301,772  common  shares  and 
will terminate as to future awards on February 28, 2022. At 
December  31,  2020,  502,994  shares  are  available  for  grant 
under the 2012 Plan.

Upon  shareholder  approval  on  May  6,  2016,  the  Amended 
and Restated Arch Capital Group Ltd. 2007 Employee Share 

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Purchase  Plan  (the  “ESPP”)  became  effective  and  a  total  of 
4,689,777  common  shares  were  reserved  for  issuance.  The 
purpose  of  the  ESPP  is  to  give  employees  of  Arch  Capital 
and  its  subsidiaries  an  opportunity  to  purchase  common 
shares  through  payroll  deductions,  thereby  encouraging 
employees  to  share  in  the  economic  growth  and  success  of 
Arch  Capital  and  its  subsidiaries.  The  ESPP  is  designed  to 
qualify as an “employee share purchase plan” under Section 
423  of  the  Code.  At  December  31,  2020,  2,267,676  shares 
remain available for issuance. 

Stock Options and Stock Appreciation Rights

The  Company  generally  issues  stock  options  and  SARs  to 
eligible  employees,  with  exercise  prices  equal  to  the  fair 
market  values  of  the  Company’s  Common  Shares  on  the 
grant  dates.  Such  grants  generally  vest  over  a  three  year 
period  with  one-third  vesting  on  the  first,  second  and  third 
anniversaries of the grant date.

The  grant  date  fair  value  is  determined  using  the  Black-
Scholes  option  valuation  model.  The  expected 
life 
assumption  is  based  on  an  expected  term  analysis,  which 
incorporates  the  Company’s  historical  exercise  experience. 
Expected  volatility 
the  Company’s  daily 
historical trading data of its common shares. The table below 
summarizes the assumptions used. 

is  based  on 

Dividend yield
Expected volatility
Risk free interest rate
Expected option life

Year Ended December 31,
2019

2018

2020

 — %
16.6 %
1.2 %
6.0 years

 — %
 18.1 %
 2.5 %
6.0 years

 — %
 21.3 %
 2.8 %
6.0 years

A  summary  of  stock  option  and  SAR  activity  under  the 
Company’s  Long  Term  Incentive  and  Share  Award  Plans 
during 2020 is presented below:

Year Ended December 31, 2020

The  aggregate  intrinsic  value  of  stock  options  and  SARs 
exercised represents the difference between the exercise price 
of  the  stock  options  and  SARs  and  the  closing  market  price 
of  the  Company’s  common  shares  on  the  exercise  dates. 
During 2020, the Company received proceeds of $5.0 million 
from  the  exercise  of  stock  options  and  recognized  a  tax 
benefit of $3.0 million from the exercise of stock options and 
SARs.

Year Ended December 31,
2019

2018

2020

Weighted average grant date 
fair value
Aggregate intrinsic value of 
Options/SARs exercised

$ 

$ 

8.14 

59,723 

$ 

$ 

7.90 

51,350 

$ 

$ 

7.50 

43,468 

Restricted Common Shares and Restricted Units

The Company also issues restricted share and unit awards to 
eligible  employees  and  directors,  for  which  the  fair  value  is 
equal  to  the  fair  market  values  of  the  Company’s  Common 
Shares  on  the  grant  dates.  Restricted  share  and  unit  awards 
generally vest over a three year period with one-third vesting 
on the first, second and third anniversaries of the grant date.

A  summary  of  restricted  share  and  restricted  unit  activity 
under the Company’s Long Term Incentive and Share Award 
Plans for 2020 is presented below:

Unvested Shares:

Unvested balance, beginning of year

Granted

Vested

Forfeited

Restricted
Common
Shares

Restricted
Unit
Awards

1,045,921 

1,328,033 

(697,090) 

(41,019) 

1,563,012 

207,297 

(620,905) 

(27,685) 

Unvested balance, end of year

1,635,845 

1,121,719 

Weighted Average Grant Date Fair 
Value:

Unvested balance, beginning of year

$ 

$ 
$ 

$ 

$ 

31.02  $ 

37.58  $ 
30.86  $ 

33.91  $ 

36.34  $ 

30.07 

37.32 
29.99 

30.76 

31.43 

Number of 
Options / 
SARs

Weighted 
Average 
Exercise 
Price

Weighted 
Average 
Contractual 
Term

Aggregate 
Intrinsic 
Value

Granted
Vested

Forfeited

Unvested balance, end of year

Outstanding, 
beginning of 
year

  18,853,018  $ 

Granted

  1,121,833  $ 

Exercised

  (1,981,216)  $ 

20.94 

42.34 

10.92 

Forfeited or 
expired

Outstanding, 
end of year

Exercisable, 
end of year

(154,302)  $ 

30.13 

  17,839,333  $ 

23.32 

4.74

$  234,659 

  15,132,810  $ 

21.30 

4.10

$  223,908 

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

The following table presents the weighted average grant date 
fair  value  of  restricted  shares  and  restricted  unit  awards 
granted  and  the  aggregate  fair  value  of  restricted  shares  and 
unit awards vesting in each year.

Year Ended December 31,
2019

2018

2020

Restricted shares and restricted 
unit awards granted

Weighted average grant date fair 
value

Aggregate fair value of vested 
restricted share and unit awards

  1,535,330 

  1,195,741 

  1,563,287 

$ 

37.55  $ 

32.89  $ 

26.86 

$ 

39,703  $ 

46,262  $ 

39,898 

The aggregate intrinsic value of restricted units outstanding at 
December 31, 2020 was $40.5 million.

 Performance Awards

The Company also issues performance share and unit awards 
(“performance  awards”)  to  eligible  employees,  which  are 
the  achievement  of  pre-established 
earned  based  on 
threshold, 
three-year 
target  and  maximum  goals  over 
performance  periods.  Final  payouts  depend  on  the  level  of 
achievement  along  with  each  employees  continued  service 
through  the  vest  date.  The  grant  date  fair  value  of  the 
performance  awards  is  measured  using  a  Monte  Carlo 
the  assumptions 
simulation  model,  which 
summarized  in  the  table  below.  Expected  volatility  is  based 
on the Company’s daily historical trading data of its common 
shares.  The  cumulative  compensation  expense  recognized 
and  unrecognized  as  of  any  reporting  period  date  represents 
the  adjusted  estimate  of  performance  shares  and  units  that 
will ultimately be awarded, valued at their original grant date 
fair values.

incorporated 

Expected volatility
Risk free interest rate

Year Ended December 31,
2019

2018

2020

18.1 %
1.1 %

17.1 %
2.5 %

16.2 %
2.6 %

Performance
Shares

Performance
Units

Unvested Shares:

Unvested balance, beginning of year

Granted

Vested

Forfeited

Unvested balance, end of year

Weighted Average Grant Date 
Fair Value:

Unvested balance, beginning of year $ 

Granted

Vested

Forfeited

Unvested balance, end of year

$ 

$ 

$ 

$ 

1,400,914 

548,906 

— 

(98,438) 

1,851,382 

30.29  $ 

44.17  $ 

—  $ 

30.01  $ 

34.42  $ 

23,767 

8,298 

— 

— 

32,065 

29.75 

44.17 

— 

— 

33.48 

The following table presents the weighted average grant date 
fair values of performance awards granted. 

Year Ended December 31,
2019

2018

2020

Performance awards

557,204 

696,360 

743,513 

Weighted average grant date fair 
value

$ 

44.17  $ 

36.05  $ 

24.77 

The issuance of share-based awards and amortization thereon 
has  no  effect  on  the  Company’s  consolidated  shareholders’ 
equity.

Share-Based Compensation Expense

The  following  tables  present  pre-tax  and  after-tax  share-
based  compensation  expense  recognized  as  well  as  the 
unrecognized  compensation  cost  associated  with  unvested 
awards  and  the  weighted  average  period  over  which  it  is 
expected to be recognized.

Year Ended December 31,
2019

2018

2020

Pre-Tax
Stock options and SARs
Restricted share and unit awards
Performance awards
ESPP
Total

After-Tax
Stock options and SARs
Restricted share and unit awards
Performance awards
ESPP
Total

$ 

$ 

$ 

$ 

11,744  $ 
41,284 
14,729 
2,135 
69,892  $ 

12,866  $ 
38,988 
8,949 
3,045 
63,848  $ 

16,272 
34,025 
4,414 
1,224 
55,935 

10,388  $ 
34,599 
13,380 
1,978 
60,345  $ 

11,450  $ 
32,999 
8,295 
2,758 
55,502  $ 

14,894 
29,044 
4,127 
1,114 
49,179 

December 31, 2020

Stock 
Options and 
SARs

Restricted 
Common
Shares and 
Units

Performance 
Common 
Shares and 
Units

$ 

9,333  $ 

52,726  $ 

9,450 

1.02

1.48

0.66

Unrecognized 
compensation cost related 
to unvested awards
Weighted average 
recognition period (years)

23.  Retirement Plans

For  purposes  of  providing  employees  with  retirement 
benefits, 
the  Company  maintains  defined  contribution 
retirement plans. Contributions are based on the participants’ 
eligible  compensation.  For  2020,  2019  and  2018,  the 
Company  expensed  $52.0  million,  $44.8  million  and  $40.8 
million, respectively, related to these retirement plans.

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24.  Legal Proceedings

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

The  Company,  in  common  with  the  insurance  industry  in 
general,  is  subject  to  litigation  and  arbitration  in  the  normal 
course  of  its  business.  As  of  December  31,  2020,  the 
Company  was  not  a  party  to  any  litigation  or  arbitration 
which is expected by management to have a material adverse 
effect  on  the  Company’s  results  of  operations  and  financial 
condition and liquidity.

25.  Statutory Information

The  Company’s  insurance  and  reinsurance  subsidiaries  are 
subject to insurance and/or reinsurance laws and regulations 
in  the  jurisdictions  in  which  they  operate.  These  regulations 
include  certain  restrictions  on  the  amount  of  dividends  or 
other  distributions  available  to  shareholders  without  prior 
approval of the insurance regulatory authorities.

The  actual  and  required  statutory  capital  and  surplus  for  the 
Company’s principal operating subsidiaries at December 31, 
2020 and 2019:

Actual capital and surplus (1):
Bermuda
Ireland
United States
United Kingdom
Canada

Required capital and surplus:
Bermuda
Ireland
United States
United Kingdom
Canada

December 31,

2020

2019

$ 16,193,415  $ 13,511,729 
721,439 
  4,440,848 
748,276 
61,351 

883,337 
  4,904,840 
967,440 
64,286 

$  6,431,413  $  5,492,968 
542,703 
  1,697,640 
349,328 
32,763 

701,161 
  1,644,324 
601,662 
37,441 

(1)

Such amounts include ownership interests in affiliated insurance and 
reinsurance subsidiaries.

the 

respective 

There  were  no  state-prescribed  or  permitted  regulatory 
accounting  practices  for  any  of  the  Company’s  insurance  or 
reinsurance entities that resulted in reported statutory surplus 
that differed from that which would have been reported under 
the  prescribed  practices  of 
regulatory 
authorities,  including  the  National  Association  of  Insurance 
Commissioners.  The  differences  between  statutory  financial 
statements  and  statements  prepared  in  accordance  with 
GAAP  vary  by  jurisdiction,  however,  with  the  primary 
differences being that statutory financial statements may not 
reflect  deferred  acquisition  costs,  certain  net  deferred  tax 
assets, goodwill and intangible assets, unrealized appreciation 
or  depreciation  on  debt  securities  and  certain  unauthorized 
reinsurance recoverables and include contingency reserves.

The statutory net income (loss) for the Company’s principal 
operating  subsidiaries  for  2020,  2019  and  2018  was  as 
follows:

Year Ended December 31,
2019

2018

2020

$  1,665,261  $  1,876,416  $ 

919,554 

18,397 

143,271 

4,078 

(1,049) 

26,367 

481,188 

(17,423) 

(1,023) 

29,223 

292,831 

(18,467) 

2,525 

Statutory net income 
(loss):

Bermuda

Ireland

United States

United Kingdom

Canada

Bermuda

The Company has two Bermuda based subsidiaries: Arch Re 
Bermuda,  a  Class  4  general  business  insurer  and  Class  C 
long-term  insurer,  and  Watford,  a  Class  4  general  business 
insurer.  Under  the  Bermuda  Insurance  Act  1978  (the 
“Insurance Act”), these subsidiaries are required to maintain 
minimum statutory capital and surplus equal to the greater of 
a  minimum  solvency  margin  and  the  enhanced  capital 
requirement  as  determined  by  the  Bermuda  Monetary 
Authority  (“BMA”).  The  enhanced  capital  requirement  is 
calculated  based  on 
the  Bermuda  Solvency  Capital 
Requirement  model,  a  risk-based  model  that  takes  into 
account  the  risk  characteristics  of  different  aspects  of  the 
company’s  business.  At  December  31,  2020  and  2019,  all 
such requirements were met.

The  ability  of  these  subsidiaries  to  pay  dividends  is  limited 
under  Bermuda  law  and  regulations.  Under  the  Insurance 
Act,  Arch  Re  Bermuda  is  restricted  with  respect  to  the 
payment  of  dividends.  Arch  Re  Bermuda  is  prohibited  from 
declaring  or  paying  in  any  financial  year  dividends  of  more 
than 25% of its total statutory capital and surplus (as shown 
on its previous financial year’s statutory balance sheet) unless 
it files, at least seven days before payment of such dividends, 
with  the  BMA  an  affidavit  stating  that  it  will  continue  to 
meet the required margins following the declaration of those 
dividends.  Accordingly,  Arch  Re  Bermuda  can  pay 
approximately  $3.8  billion  to  Arch  Capital  during  2021 
without providing an affidavit to the BMA. 

Ireland

The  Company  has  three  Irish  subsidiaries:  Arch  Re  Europe, 
an  authorized  life  and  non-life  reinsurer,  Arch  Insurance 
(EU),  an  authorized  non-life  insurer  and  Arch  Underwriting 
Europe, a registered insurance and reinsurance intermediary. 
Irish  authorized  reinsurers  and  insurers,  such  as  Arch  Re 
Europe,  Arch  Insurance  (EU)  and  Irish  intermediaries,  such 
as Arch Underwriters Europe, are also subject to the general 
body of Irish laws and regulations including the provisions of 
the  Companies  Act  2014.  As  part  of  the  Company’s  Brexit 

156

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

plan,  Arch  Insurance  (EU)  received  approval  from  the 
Central Bank of Ireland (“CBOI”) to expand the nature of its 
business  in  2019  commenced  writing  insurance  lines  in  the 
European Economic Area in 2020, and the Part VII Transfer 
was  completed  at  the  end  of  December  2020.  Arch  Re 
Europe, Arch Insurance (EU) and Arch Underwriters Europe 
are subject to the supervision of the CBOI and must comply 
with  Irish  insurance  acts  and  regulations  as  well  as  with 
directions and guidance issued by the CBOI. Arch Re Europe 
and Arch Insurance (EU) are required to maintain a minimum 
level  of  capital.  At  December  31,  2020  and  2019,  these 
requirements were met.

The  amount  of  dividends  these  subsidiaries  are  permitted  to 
declare  is  limited  to  accumulated,  realized  profits,  so  far  as 
not  previously  utilized  by  distribution  or  capitalization,  less 
its  accumulated,  realized  losses,  so  far  as  not  previously 
written  off  in  a  reduction  or  reorganization  of  capital  duly 
made.  The  solvency  and  capital  requirements  must  still  be 
met following any distribution. Dividends or distributions, if 
any, made by Arch Re Europe would result in an increase in 
available capital at Arch Re Bermuda.

United States

The  Company’s  U.S.  insurance  and  reinsurance  subsidiaries 
are  subject  to  insurance  laws  and  regulations  in  the 
jurisdictions  in  which  they  operate.  The  ability  of  the 
Company’s regulated insurance subsidiaries to pay dividends 
or  make  distributions  is  dependent  on  their  ability  to  meet 
applicable  regulatory  standards.  These  regulations  include 
restrictions  that  limit  the  amount  of  dividends  or  other 
distributions,  such  as  loans  or  cash  advances,  available  to 
shareholders  without  prior  approval  of 
insurance 
regulatory authorities.

the 

Dividends  or  distributions,  if  any,  made  by  Arch  Re  U.S. 
would result in an increase in available capital at Arch-U.S., 
the  Company’s  U.S.  holding  company.  Arch  Re  U.S.  can 
declare  a  maximum  of  approximately  $147.6  million  of 
dividends  during  2021  subject  to  the  approval  of  the 
Commissioner of the Delaware Department of Insurance. 

certain 

ongoing 

requirements 

AMIC  and  UGRIC  have  each  been  approved  as  an  eligible 
mortgage insurer by Fannie Mae and Freddie Mac, subject to 
maintaining 
(“eligible 
mortgage  insurers”).  In  April  2015,  the  GSEs  published 
comprehensive,  revised  requirements,  known  as  the  Private 
Mortgage Insurer Eligibility Requirements or “PMIERs.” As 
clarified  and  revised  by  the  Guidance  Letters  issued  by  the 
GSEs in December 2016 and March 2017, the PMIERs apply 
to  the  Company’s  eligible  mortgage  insurers,  but  do  not 
apply  to  Arch  Mortgage  Guaranty  Company,  which  is  not 
GSE-approved.

The amount of assets required to satisfy the revised financial 
requirements  of  the  PMIERs  at  any  point  in  time  will  be 
affected  by  many 
including  macro-economic 
conditions, the size and composition of our eligible mortgage 
insurers’  mortgage  insurance  portfolio  at  the  point  in  time, 
and  the  amount  of  risk  ceded  to  reinsurers  that  may  be 
deducted in our calculation of “minimum required assets.” 

factors, 

regulators, 

the  Wisconsin  Office  of 

The  Company’s  U.S.  mortgage  insurance  subsidiaries  are 
subject  to  detailed  regulation  by  their  domiciliary  and 
the 
primary 
Commissioner  of  Insurance  (“Wisconsin  OCI”)  for  Arch 
Mortgage Insurance Company and Arch Mortgage Guaranty 
Company, the North Carolina Department of Insurance (“NC 
DOI”) for United Guaranty Residential Insurance Company, 
and  by  state  insurance  departments  in  each  state  in  which 
they  are  licensed.  As  mandated  by  state  insurance  laws, 
mortgage 
insurers  are  generally  mono-line  companies 
restricted to writing a single type of insurance business, such 
as mortgage insurance business. Each company is subject to 
either Wisconsin or North Carolina statutory requirements as 
to  payment  of  dividends.  Generally,  both  Wisconsin  and 
North  Carolina  law  precludes  any  dividend  before  giving  at 
least  30  days’  notice  to  the  Wisconsin  OCI  or  NC  DOI,  as 
applicable, and prohibits paying any dividend unless it is fair 
and reasonable to do so. In addition, the state regulators and 
the  GSEs  limit  or  restrict  our  eligible  mortgage  insurers’ 
ability  to  pay  stockholder  dividends  or  otherwise  return 
capital to shareholders. Under respective states law, our U.S. 
mortgage 
subsidiaries  can  declare  a  maximum  of 
approximately $143.1 million of ordinary dividends in 2021, 
however,  dividend  capacity  is  limited  by  the  respective 
companies unassigned surplus amounts. In certain instances, 
approval  by  the  GSEs  would  be  required  for  dividends  or 
other  forms  of  return  of  capital  to  shareholders  due  to  the 
the  minimum 
requirements  under  PMIERs, 
required assets imposed on our eligible mortgage insurers by 
the  GSEs.  Such  dividend  would  result  in  an  increase  in 
available capital at Arch U.S. MI Holdings Inc., a subsidiary 
of  Arch-U.S.  The  ability  of  the  Company’s  U.S.  mortgage 
insurance  subsidiaries  to  pay  dividends  is  subject  to  prior 
notifications  and  approval  through  June  30,  2021,  pursuant 
the GSEs’ PMIERs guidance related to COVID-19.

including 

Mortgage  insurance  companies  licensed  in  Wisconsin  or 
North  Carolina  are  required  to  establish  contingency  loss 
reserves  for  purposes  of  statutory  accounting  in  an  amount 
equal to at least 50% of net earned premiums. These amounts 
generally  cannot  be  withdrawn  for  a  period  of  10  years  and 
are  separate  liabilities  for  statutory  accounting  purposes, 
which  affects  the  ability  to  pay  dividends.  However,  with 
prior  regulatory  approval,  a  mortgage  insurance  company 
may  make  early  withdrawals  from  the  contingency  reserve 
when incurred losses exceed 35% of net premiums earned in 
a calendar year.

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

Under Wisconsin and North Carolina law, as well as that of 
14 other states, a mortgage insurer must maintain a minimum 
amount of statutory capital relative to its risk in force in order 
for  the  mortgage  insurer  to  continue  to  write  new  business. 
While  formulations  of  minimum  capital  vary  in  certain 
jurisdictions, the most common measure applied allows for a 
maximum  risk-to-capital  ratio  of  25  to  1.  Wisconsin  and 
North Carolina both require a mortgage insurer to maintain a 
“minimum  policyholder  position”  calculated  in  accordance 
with  their  respective  regulations.  Policyholders'  position 
consists primarily of statutory policyholders' surplus plus the 
statutory  contingency  reserve,  less  ceded  reinsurance.  While 
the statutory contingency reserve is reported as a liability on 
the  statutory  balance  sheet, 
ratio 
calculations, it is included as capital for purposes of statutory 
capital.

risk-to-capital 

for 

United Kingdom

The  Prudential  Regulation  Authority  (“PRA”)  and  the 
Financial Conduct Authority (“FCA”) regulate insurance and 
reinsurance companies and the FCA regulates firms carrying 
on insurance mediation activities operating in the U.K., both 
under  the  Financial  Services  and  Markets  Act  2000.  The 
Company’s U.K. insurance operations are conducted through 
Arch  Insurance  (U.K.),  Lloyds  syndicates:  Arch  Syndicate 
2012  and  Arch  Syndicate  1955.  Arch  Managing  Agency 
Limited (“AMAL”) is the managing agent of Arch Syndicate 
2012  and  Arch  Syndicate  1955.  Arch  Syndicate  2012  and 
Arch  Syndicate  1955  provide  access  to  Lloyd’s  extensive 
distribution  network  and  worldwide  licenses.  AMAL  also 
acts  as  managing  agent  for  third  party  members  of  Arch 
Syndicate  1955.  All  U.K.  companies  are  also  subject  to  a 
range  of  statutory  provisions,  including  the  laws  and 
regulations  of  the  Companies  Acts  2006  (as  amended)  (the 
“U.K. Companies Acts”). 

Arch Insurance (U.K.) and AMAL must maintain a margin of 
solvency at all times under the Solvency II Directive from the 
European  Insurance  and  Occupational  Pensions  Authority. 
The  regulations  stipulate  that  insurers  are  required  to 
maintain  the  minimum  capital  requirement  and  solvency 
capital  requirement  at  all  times.  At  December  31,  2020  and 
2019,  our  subsidiaries  were  in  compliance  with  these 
requirements.

As  corporate  members  of  Lloyd’s,  AMAL  (as  managing 
agent of Arch Syndicate 2012 and Arch Syndicate 1955) and 
each syndicate’s respective corporate members are subject to 
the oversight of the Council of Lloyd’s. The capital required 
to  support  a  Syndicate’s  underwriting  capacity,  or  funds  at 
Lloyd’s, is assessed annually and is determined by Lloyd’s in 
accordance with the capital adequacy rules established by the 
PRA.  The  Company  has  provided  capital  to  support  the 
underwriting  of  Arch  Syndicate  2012  and  Arch  Syndicate 

1955  in  the  form  of  pledged  assets  provided  by  Arch  Re 
Bermuda. The amount which the Company provides as funds 
at Lloyd’s is not available for distribution to the Company for 
the payment of dividends. Lloyd’s is supervised by the PRA 
and  required  to  implement  certain  rules  prescribed  by  the 
PRA under the Lloyd’s Act of 1982 regarding the operation 
of the Lloyd’s market. With respect to managing agents and 
corporate  members,  Lloyd’s  prescribes  certain  minimum 
standards  relating  to  management  and  control,  solvency  and 
requirements  and  monitors  managing  agents’ 
other 
compliance with such standards.

Under  U.K.  law,  all  U.K.  companies  are  restricted  from 
declaring  a  dividend  to  their  shareholders  unless  they  have 
“profits  available  for  distribution.”  The  calculation  as  to 
whether  a  company  has  sufficient  profits  is  based  on  its 
accumulated  realized  profits  minus  its  accumulated  realized 
losses.  U.K.  insurance  regulatory  laws  do  not  prohibit  the 
payment  of  dividends,  but  the  PRA  or  FCA,  as  applicable, 
requires 
insurance 
intermediaries  maintain  certain  solvency  margins  and  may 
restrict the payment of a dividend by Arch Insurance (U.K.) 
and AMAL.

companies 

insurance 

that 

and 

Canada

Arch Insurance Canada and the Canadian branch of Arch Re 
U.S.  (“Arch  Re  Canada”)  are  subject  to  federal,  as  well  as 
provincial and territorial, regulation in Canada. The Office of 
the  Superintendent  of  Financial  Institutions  (“OSFI”)  is  the 
federal regulatory body that, under the Insurance Companies 
Act  (Canada),  regulates  federal  Canadian  and  non-Canadian 
insurance  companies  operating  in  Canada.  Arch  Insurance 
Canada and Arch Re Canada are subject to regulation in the 
provinces and territories in which they underwrite insurance/
reinsurance,  and  the  primary  goal  of  insurance/reinsurance 
regulation at the provincial and territorial levels is to govern 
the market conduct of insurance/reinsurance companies. Arch 
Insurance  Canada  is  licensed  to  carry  on  insurance  business 
by OSFI and in each province and territory. Arch Re Canada 
is  licensed  to  carry-on  reinsurance  business  by  OSFI  and  in 
the provinces of Ontario and Quebec. 

Under 
the  Insurance  Companies  Act  (Canada),  Arch 
Insurance Canada is required to maintain an adequate amount 
of  capital  in  Canada,  calculated  in  accordance  with  a  test 
promulgated  by  OSFI  called  the  Minimum  Capital  Test 
(“MCT”),  and  Arch  Re  Canada  is  required  to  maintain  an 
in  Canada, 
adequate  margin  of  assets  over 
calculated  in  accordance  with  a  test  promulgated  by  OSFI 
called  the  Branch  Adequacy  of  Assets  Test.  Dividends  or 
distributions, if any, made by Arch Insurance Canada would 
result  in  an  increase  in  available  capital  at  Arch  Insurance 
Company (see “—United States” section).

liabilities 

ARCH CAPITAL

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

26.  Unaudited Condensed Quarterly Financial Information

The following table summarizes the 2020 and 2019 unaudited condensed quarterly financial information:

Year Ended December 31, 2020
Net premiums written
Net premiums earned
Net investment income
Net realized gains (losses)
Underwriting income (loss)
Net income (loss) attributable to Arch
Preferred dividends
Net income (loss) available to Arch common shareholders
Net income (loss) per common share -- basic
Net income (loss) per common share -- diluted

Year Ended December 31, 2019
Net premiums written
Net premiums earned
Net investment income
Net realized gains (losses)
Underwriting income (loss)
Net income (loss) attributable to Arch
Preferred dividends
Net income (loss) available to Arch common shareholders
Net income (loss) per common share -- basic
Net income (loss) per common share -- diluted

Fourth
Quarter

Third
Quarter

Second
Quarter

First
Quarter

$ 

$ 
$ 

$ 

$ 
$ 

1,758,015  $ 
1,811,045 
114,458 
353,333 
220,987 
543,544 
(10,403) 
533,141 

1.32  $ 
1.30  $ 

1,455,453  $ 
1,515,882 
154,263 
40,830 
251,421 
326,384 
(10,403) 
315,981 

0.78  $ 
0.76  $ 

1,874,144  $ 
1,771,092 
128,512 
280,499 
96,604 
419,039 
(10,403) 
408,636 

1.01  $ 
1.00  $ 

1,613,457  $ 
1,438,023 
161,488 
61,355 
231,262 
392,453 
(10,403) 
382,050 

0.95  $ 
0.92  $ 

1,668,311  $ 
1,665,354 
131,485 
556,588 
(22,539) 
298,821 
(10,403) 
288,418 

0.72  $ 
0.71  $ 

1,444,898  $ 
1,463,727 
155,038 
120,757 
293,134 
468,954 
(10,403) 
458,551 

1.14  $ 
1.12  $ 

2,137,246 
1,744,444 
145,153 
(366,960) 
154,050 
144,117 
(10,403) 
133,714 
0.33 
0.32 

1,525,259 
1,368,866 
156,949 
140,256 
260,148 
448,528 
(10,403) 
438,125 
1.09 
1.07 

27.  Subsequent Events

Reinsurance to Close

Coface

On  February  10,  2021,  the  Company  announced  that  it  had 
completed  the  share  purchase  agreement  with  Natixis  to 
purchase  a  29.5%  stake  in  Coface,  a  France-based  leader  in 
the  global  trade  credit  insurance  market.  The  consideration 
paid  was  €9.95  per  share,  or  an  aggregate  €453  million 
including related fees. In connection with our minority stake 
in  Coface,  the  Company  has  four  representatives  on  the 
Coface Board of Directors.

As  part  of  the  Company’s  acquisition  of  Barbican,  on 
February  18,  2021,  the  Company  entered  into  an  agreement 
with  Premia  Managing  Agency  Limited  for  the  Reinsurance 
to  Close  (“RITC”)  of  Syndicate  1955’s  2018  underwriting 
year  of  account 
into  Premia  Syndicate  1884’s  2021 
underwriting  year  of  account.  The  RITC  covers  legacy 
business underwritten by Syndicate 1955 on the underwriting 
2018  and  prior  years  of  account  and  under  the  agreement, 
approximately  $380  million  of  net  liabilities  transferred  to 
Syndicate 1884, with an effective date of January 1, 2021.

Share Repurchases

Texas Winter Storm

From  January  1  to  February  24,  2021,  the  Company 
repurchased approximately 4.6 million common shares for an 
aggregate purchase price of $154.9 million. At February 24, 
2021  approximately  $761.6  million  of  repurchases  were 
available under the share repurchase program.

In February 2021, a winter storm struck Texas and other parts 
of the southern U.S., resulting in significant insured losses. It 
is too early to reasonably estimate losses for this recent event 
given the significant unknowns, the early stage of the damage 
assessment process and the unusual nature of the event.

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Table of Contents

ITEM 9.  CHANGES IN AND DISAGREEMENTS WITH ACCOUNTANTS ON ACCOUNTING AND 
FINANCIAL DISCLOSURE

None.

ITEM 9A. CONTROLS AND PROCEDURES

Evaluation of Disclosure Controls and Procedures

In  connection  with  the  filing  of  this  Form  10-K,  our 
management,  including  the  Chief  Executive  Officer  and 
Chief  Financial  Officer,  conducted  an  evaluation,  as  of 
December  31,  2020,  for  the  purposes  set  forth  in  the 
applicable  rules  under  the  Securities  and  Exchange  Act  of 
1934,  as  amended  (the  “Exchange  Act”).  Based  on  that 
evaluation,  the  Chief  Executive  Officer  and  Chief  Financial 
Officer concluded that the disclosure controls and procedures 
are effective.

We  continue  to  enhance  our  operating  procedures  and 
internal controls (including information technology initiatives 
and  controls  over  financial  reporting)  to  effectively  support 
our  business  and  our  regulatory  and  reporting  requirements. 
Our management does not expect that our disclosure controls 
or our internal controls will prevent all errors and all fraud. A 
control system, no matter how well conceived and operated, 
can provide only reasonable, not absolute, assurance that the 
objectives of the control system are met. Further, the design 
of  a  control  system  must  reflect  the  fact  that  there  are 
resource  constraints,  and  the  benefits  of  controls  must  be 
considered relative to their costs. As a result of the inherent 
limitations  in  all  control  systems,  no  evaluation  of  controls 
can  provide  absolute  assurance  that  all  control  issues  and 
instances  of  fraud,  if  any,  within  the  company  have  been 
detected. These inherent limitations include the realities that 
judgments  in  decision  making  can  be  faulty,  and  that 
breakdowns  can  occur  because  of  simple  error  or  mistake. 
Additionally, controls can be circumvented by the individual 
acts of some persons or by collusion of two or more people. 

The  design  of  any  system  of  controls  also  is  based  in  part 
upon  certain  assumptions  about  the  likelihood  of  future 
events,  and  there  can  be  no  assurance  that  any  design  will 
succeed in achieving its stated goals under all potential future 
conditions;  over  time,  controls  may  become  inadequate 
the  degree  of 
because  of  changes 

in  conditions,  or 

ITEM 9B. OTHER INFORMATION

None.

compliance  with  the  policies  or  procedures  may  deteriorate. 
As  a  result  of  the  inherent  limitations  in  a  cost-effective 
control system, misstatement due to error or fraud may occur 
and not be detected. Accordingly, our disclosure controls and 
procedures are designed to provide reasonable, not absolute, 
assurance that the disclosure controls and procedures are met.

Management’s  Annual  Report  on  Internal  Control  Over 
Financial Reporting

internal  control  over 

is  responsible  for  establishing  and 
Our  management 
maintaining  adequate 
financial 
reporting, as defined in Rules 13a-15(f) and 15d-15(f) under 
the  Exchange  Act.  Our  management  assessed 
the 
effectiveness  of  our  internal  control  over  financial  reporting 
as  of  December  31,  2020.  In  making  this  assessment, 
management  used  the  criteria  set  forth  by  the  Committee  of 
Sponsoring  Organizations 
the  Treadway 
(COSO)  of 
Commission 
in  Internal  Control-Integrated  Framework 
(2013).

Based on our assessment, management determined that, as of 
December  31,  2020,  our  internal  control  over  financial 
reporting  was  effective.  The  effectiveness  of  our  internal 
control over financial reporting as of December 31, 2020 has 
been 
an 
audited  by  PricewaterhouseCoopers  LLP, 
independent  registered  public  accounting  firm,  as  stated  in 
their report included in Item 8.

Changes in Internal Control Over Financial Reporting

There have been no changes in internal control over financial 
reporting  that  occurred  in  connection  with  our  evaluation 
required  pursuant  to  Rules  13a-15  and  15d-15  under  the 
Exchange  Act  during  the  fiscal  quarter  ended  December  31, 
2020 that have materially affected, or are reasonably likely to 
materially affect, internal control over financial reporting.

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PART III

ITEM 10. DIRECTORS, EXECUTIVE OFFICERS AND CORPORATE GOVERNANCE

The  information  required  by  this  item  is  incorporated  by 
reference  from  the  information  to  be  included  in  our 
definitive  proxy  statement  (“Proxy  Statement”)  for  our 
annual meeting of shareholders to be held in 2021, which we 
intend  to  file  with  the  SEC  pursuant  to  Regulation  14A  no 
later than 120 days after the end of the Company’s fiscal year 
which  ended  on  December  31,  2020.  Copies  of  our  code  of 
ethics  applicable  to  our  chief  executive  officer,  chief 
financial officer and principal accounting officer or controller 
are available free of charge to investors upon written request 
addressed  to  the  attention  of  Arch  Capital’s  corporate 
secretary,  Waterloo  House,  100  Pitts  Bay  Road,  Pembroke 
HM 08, Bermuda. In addition, our code of ethics and certain 
other  basic  corporate  documents,  including  the  charters  of 
our 
and 
nominating committee are posted on our website.

compensation 

committee, 

committee 

audit 

If any substantive amendments are made to the code of ethics 
or  if  there  is  a  grant  of  a  waiver,  including  any  implicit 
waiver,  we  will  disclose  the  nature  of  such  amendment  or 
waiver  on  our  website  or  in  a  report  on  Form  8-K,  to  the 
extent required by applicable law or the rules and regulations 
of  any  exchange  applicable  to  us.  Our  website  address  is 
intended to be an inactive, textual reference only and none of 
the material on our website is incorporated by reference into 
this report.

ITEM 11. EXECUTIVE COMPENSATION

The  information  required  by  this  item  is  incorporated  by 
reference  from  the  information  to  be  included  in  the  Proxy 
Statement  which  we  intend  to  file  pursuant  to  Regulation 
14A with the SEC no later than 120 days after the end of the 
Company’s  fiscal  year  ended  on  December  31,  2020,  which 
Proxy Statement is incorporated by reference.

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ITEM 12. SECURITY OWNERSHIP OF CERTAIN BENEFICIAL OWNERS AND MANAGEMENT AND 
RELATED STOCKHOLDER MATTERS

Other  than  the  information  set  forth  below,  the  information  required  by  this  item  is  incorporated  by  reference  from  the 
information to be included in the Proxy Statement which we intend to file pursuant to Regulation 14A with the SEC no later 
than 120 days after the end of the Company’s fiscal year ended on December 31, 2020, which Proxy Statement is incorporated 
by reference.

The following information is as of December 31, 2020:

Column A

Column B

Column C

Number of Securities to 
be Issued Upon Exercise 
of Outstanding Stock 
Options(1), Warrants 
and Rights

Weighted-Average 
Exercise Price of 
Outstanding
Stock Options(1), 
Warrants and Rights ($)

Number of Securities 
Remaining Available for 
Future Issuance Under 
Equity Compensation 
Plans (Excluding 
Securities Reflected in 
Column A)

18,993,117 

— 

18,993,117 

$ 

$ 

23.32 

— 

23.32 

20,610,537 

— 

20,610,537  (2)

Plan Category

Equity compensation plans approved by security holders

Equity compensation plans not approved by security holders

Total

________________________

(1) 

(2) 

Includes  all  vested  and  unvested  stock  options  outstanding  of  17,839,333  and  restricted  stock  and  performance  units  outstanding  of  1,153,784.  The 
weighted  average  exercise  price  does  not  take  into  account  restricted  stock  units.  In  addition,  the  weighted  average  remaining  contractual  life  of  the 
Company's outstanding exercisable stock options and SARs at December 31, 2020 was 4.7 years.

Includes  2,267,676  common  shares  remaining  available  for  future  issuance  under  our  Employee  Share  Purchase  Plan  and  18,342,861  common  shares 
remaining available for future issuance under our equity compensation plans. Shares available for future issuance under our equity compensation plans 
may be issued in the form of stock options, SARs, restricted shares, restricted share units payable in common shares or cash, share awards in lieu of cash 
awards, dividend equivalents, performance shares and performance units and other share-based awards. In addition, 5,381,100 common shares, or 26.1% 
of  the  20,610,537  common  shares  remaining  available  for  future  issuance  may  be  issued  in  connection  with  full  value  awards  (i.e.,  awards  other  than 
stock options or SARs). 

ITEM 13. CERTAIN RELATIONSHIPS AND RELATED TRANSACTIONS, AND DIRECTOR 
INDEPENDENCE

The information required by this item is incorporated by reference from the information to be included in the Proxy Statement 
which we intend to file pursuant to Regulation 14A with the SEC no later than 120 days after the end of the Company’s fiscal 
year ended on December 31, 2020, which Proxy Statement is incorporated by reference.

ITEM 14. PRINCIPAL ACCOUNTANT FEES AND SERVICES

The information required by this item is incorporated by reference from the information to be included in our Proxy Statement 
which we intend to file pursuant to Regulation 14A with the SEC no later than 120 days after the end of the Company’s fiscal 
year ended on December 31, 2020, which Proxy Statement is incorporated by reference.

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ITEM 15. EXHIBITS AND FINANCIAL STATEMENT SCHEDULES

PART IV

(a) Financial Statements, Financial Statement Schedules and Exhibits.

1.

Financial Statements

Included in Part II – see Item 8 of this report.

2.

Financial Statement Schedules

II. Condensed Financial Information of Registrant

As of December 31, 2020 and 2019, and for the years ended December 31, 2020, 2019 and 2018

III. Supplementary Insurance Information

For the years ended December 31, 2020, 2019 and 2018

IV. Reinsurance

For the years ended December 31, 2020, 2019 and 2018

VI. Supplementary Information for Property and Casualty Insurance Underwriters

For the years ended December 31, 2020, 2019 and 2018

Page No.

169

172

173

174

Schedules other than those listed above are omitted for the reason that they are not applicable or the information is provided in 
Item 8 of this report.

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3.  Exhibits

Exhibit 
Number
1.1

2.1

2.2

3.1

3.2

3.3

4.1.1

4.1.2

4.2.1

4.2.2

4.2.3

4.3.1

4.3.2

4.3.3

4.4.1

4.4.2

4.4.3

4.5.1

4.5.2

4.6.1

4.6.2

4.7.1

4.7.2

4.8

10.2.1

10.2.2

10.3.1

10.3.2

10.3.3

10.3.4

10.3.5

10.4.1

Exhibit Description
Purchase Agreement, dated as of June 23, 2020, by and among Arch Capital Group 
Ltd., and Wells Fargo Securities, LLC, BofA Securities, Inc., Credit Suisse 
Securities (USA) LLC, J.P. Morgan Securities LLC, and Lloyds Securities Inc., as 
representatives of the underwriters named therein.

Agreement and Plan of Merger among Arch Capital Group Ltd., Greysbridge Ltd. 
and Watford Holdings Ltd., dated October 9, 2020. 
Amendment No. 1 to Agreement and Plan of Merger among Arch Capital Group 
Ltd., Greysbridge Ltd., and Watford Holdings Ltd., dated November 2, 2020. 
Memorandum of Association of ACGL

Bye-Laws of ACGL

ACGL Certificate of Deposit of Memorandum of Increase of Share Capital

Certificate of Designations of Series E Non-Cumulative Preferred Shares

Certificate of Designations of Series F Non-Cumulative Preferred Shares

Form
8-K

8-K

8-K

S-4

10-Q

10-K

8-K

8-K

Specimen Common Share Certificate

10-K405

8-K

8-K

8-K

8-K

8-K

8-K

8-K

8-K

8-K

8-K

8-K

8-K

8-K

8-K

Specimen Series E Non-Cumulative Preferred Share Certificate

Specimen Series F Non-Cumulative Preferred Share Certificate

Indenture, dated as of May 4, 2004, between ACGL, as issuer, and The Bank of 
New York Mellon, as successor trustee to JPMorgan Chase Bank, N.A. (formerly 
JPMorgan Chase Bank) (“JPMCB”), as trustee
First Supplemental Indenture, dated as of May 4, 2004, between ACGL, as issuer, 
and JPMCB, as trustee

Second Supplemental Indenture, dated as of June 30, 2020, by and between Arch 
Capital Group Ltd. and The Bank of New York Mellon (including the form of 
Global Notes for the Notes).

Indenture, dated as of December 13, 2013, among Arch Capital Group (U.S.) Inc. 
(“Arch U.S.”), as issuer, ACGL, as guarantor, and The Bank of New York Mellon 
(“BNYM”), as trustee

First Supplemental Indenture, dated as of December 13, 2013, among Arch U.S., as 
issuer, ACGL, as guarantor, and BNYM, as trustee

Second Supplemental Indenture, dated as of May 10, 2018, among Arch Capital 
Finance LLC, as issuer, ACGL, as guarantor, and BNYM, as trustee

Deposit Agreement, dated September 29, 2016, between ACGL, as issuer, and 
American Stock Transfer & Trust Company, LLC (“AST”), as depositary, registrar 
and transfer agent and as dividend disbursing agent and redemption agent, and the 
holders from time to time of the depositary receipts

Deposit Agreement, dated August 17, 2017, between ACGL, as issuer, and AST, 
as depositary, registrar and transfer agent and as dividend disbursing agent and 
redemption agent, and the holders from time to time of the depositary receipts

Form of Depositary Receipt, dated September 29, 2016

Form of Depositary Receipt, dated August 17, 2017

Indenture, dated as of December 8, 2016, among Arch Capital Finance LLC, as 
issuer, ACGL, as guarantor, and BNYM, as trustee

First Supplemental Indenture, dated as of December 8, 2016, among Arch Capital 
Finance LLC, as issuer, ACGL, as guarantor, and BNYM, as trustee

Description of Securities

Third Amended and Restated ACGL Incentive Compensation Plan†

First Amendment to Third Amended and Restated ACGL Incentive Compensation 
Plan†

ACGL 2007 Long Term Incentive and Share Award Plan†

ACGL 2012 Long Term Incentive and Share Award Plan†

ACGL 2015 Long Term Incentive and Share Award Plan†

ACGL 2018 Long Term Incentive and Share Award Plan†

ACGL Amended and Restated 2007 Employee Share Purchase Plan†

Form of Restricted Share Agreement, dated as of May 13, 2015, between ACGL 
and each of, Marc Grandisson, W. Preston Hutchings, Nicolas Papadopoulo, 
Maamoun Rajeh and Louis T. Petrillo†

Incorporated by Reference

Original 
Number
1.1

Date Filed
June 24, 2020

Filed 
Herewith

2.1

2.1

3.1

3

3.3

4.1

4.1

4.1

4.2

4.2

4.1

October 14, 2020

November 2, 2020

September 8, 2000

August 5, 2016

February 28, 2011

September 29, 2016

August 17, 2017

April 2, 2001

September 29, 2016

August 17, 2017

June 30, 2020

99.3

May 7, 2004

4.2

4.1

4.2

4.1

4.3

4.3

4.4

4.4

4.1

4.2

June 30, 2020

December 13, 2013

December 13, 2013

May 15, 2018

September 29, 2016

August 17, 2017

September 29, 2016

August 17, 2017

December 9, 2016

December 9, 2016

February 28, 2020

August 5, 2016

May 5, 2017

April 3, 2007

March 27, 2012

March 26, 2015

March 28, 2018

March 23, 2016

10-K

10-Q

10-Q

4.7

10.7

10.1

DEF 14A

DEF 14A

DEF 14A

DEF 14A

DEF 14A

10-Q

10.2

August 7, 2015

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10.4.2

10.4.3

10.4.4

10.4.5

10.4.6

10.4.7

10.5

10.6.1

10.6.2

10.6.3

10.6.4

10.6.5

10.6.6

10.6.7

10.7.1

10.7.2

10.7.3

10.7.4

10.7.5

10.7.6

10.7.7

10.7.8

10.7.9

10.7.10

10.7.11

10.7.12

10.7.13

Form of Restricted Share Agreement, dated as of May 13, 2016, between ACGL 
and each of Marc Grandisson, W. Preston Hutchings, Nicolas Papadopoulo, 
Maamoun Rajeh and Louis T. Petrillo†

Form of Restricted Share Agreement, dated as of May 4, 2017, between ACGL and 
each of the Non-Employee Directors of ACGL†

Form of Restricted Share Agreement, dated as of May 8, 2017, between ACGL and 
each of Marc Grandisson, W. Preston Hutchings, Nicolas Papadopoulo, Maamoun 
Rajeh and Louis T. Petrillo†

Form of Restricted Share Agreement, dated as of September 19, 2017, between 
ACGL and each of Nicolas Papadopoulo and Maamoun Rajeh† 

Form of Restricted Share Agreement for Named Executive Officers and certain 
Executive Officers of ACGL and subsidiaries†

Form of Restricted Share Agreement between ACGL and each of the Non-
Employee Directors of ACGL†

Form of Performance Restricted Share Agreement for Named Executive Officers 
and certain Executive Officers of ACGL and subsidiaries†

Form of Non-Qualified Stock Option Agreement, dated as of May 13, 2015, 
between ACGL and each of Marc Grandisson and W. Preston Hutchings†

Form of Non-Qualified Stock Option Agreement, dated as of May 13, 2016, 
between ACGL and each of Marc Grandisson, W. Preston Hutchings, Nicolas 
Papadopoulo, Maamoun Rajeh and Louis T. Petrillo†

Form of Non-Qualified Stock Option Agreement, dated as of May 8, 2017, 
between ACGL and each of Marc Grandisson, W. Preston Hutchings, Nicolas 
Papadopoulo, Maamoun Rajeh and Louis T. Petrillo†

10-Q

10.2

August 5, 2016

10-Q

10-Q

10.3

10.4

August 4, 2017

August 4, 2017

10-K

10.4.13

February 28, 2018

10-Q

10-Q

10-Q

10-Q

10.3

10.6

10.5

10.3

August 8, 2018

August 8, 2018

August 8, 2018

August 7, 2015

10-Q

10.3

August 5, 2016

10-Q

10.5

August 4, 2017

Non-Qualified Stock Option Agreement, dated as of September 19, 2017, between 
ACGL and Maamoun Rajeh†

10-K

10.5.6

February 28, 2018

Non-Qualified Stock Option Agreement, dated as of September 19, 2017, between 
ACGL and Nicolas Papadopoulo† 

10-K

10.5.7

February 28, 2018

Form of Non-Qualified Stock Option Agreement for Named Executive Officers 
and certain Executive Officers of ACGL and subsidiaries† 

Non-Qualified Stock Option Agreement, dated as of April 9, 2018, between ACGL 
and Marc Grandisson† 

Form of Share Appreciation Right Agreement, dated as of May 9, 2008, between 
ACGL and each of, John D. Vollaro, Marc Grandisson, W. Preston Hutchings and 
Louis T. Petrillo†

Form of Share Appreciation Right Agreement, dated as of May 6, 2009, between 
ACGL and each of Marc Grandisson, W. Preston Hutchings and John D. Vollaro†

Form of Share Appreciation Right Agreement, dated as of May 5, 2010, between 
ACGL and each of Marc Grandisson, W. Preston Hutchings and Louis T. Petrillo†

Share Appreciation Right Agreement, dated as of May 6, 2011, between ACGL 
and Marc Grandisson†

Share Appreciation Right Agreement, dated as of May 6, 2011, between ACGL 
and W. Preston Hutchings†

Share Appreciation Right Agreement, dated as of May 6, 2011, between ACGL 
and Louis T. Petrillo†
Share Appreciation Right Agreement, dated as of May 6, 2011, between ACGL 
and Maamoun Rajeh†

Share Appreciation Right Agreement, dated as of May 9, 2012 between ACGL and 
Maamoun Rajeh†

Form of Share Appreciation Right Agreement, dated as of May 9, 2012, between 
ACGL and each of Marc Grandisson, W. Preston Hutchings and Louis T. Petrillo†

Share Appreciation Right Agreement, dated as of July 1, 2012 between ACGL and 
Maamoun Rajeh†

Form of Share Appreciation Right Agreement, dated as of November 12, 2012, 
between ACGL and each of Marc Grandisson, W. Preston Hutchings, Maamoun 
Rajeh and Louis T. Petrillo†

Form of Share Appreciation Right Agreement, dated as of May 9, 2013, between 
ACGL and each of Marc Grandisson, W. Preston Hutchings, Maamoun Rajeh and 
Louis T. Petrillo†

Form of Share Appreciation Right Agreement, dated as of May 13, 2014, between 
ACGL and each of Marc Grandisson, W. Preston Hutchings, Maamoun Rajeh and 
Louis T. Petrillo†

10-Q

10-Q

10-Q

10-K

10-Q

10-Q

10-Q

10.4

10.5

10.1

August 8, 2018

May 9, 2018

November 10, 2008

10.12.4

February 26, 2010

10.4

10.7

10.9

November 8, 2010

November 8, 2011

November 8, 2011

10-Q

10.12

November 8, 2011

10-Q

10-Q

10-Q

10-Q

10-Q

10.1

10.2

10.3

10.4

10.3

November 3, 2017

November 3, 2017

November 9, 2012

November 3, 2017

August 9, 2013

10-Q

10.2

November 8, 2013

10-Q

10.3

August 8, 2014

10.7.14

Share Appreciation Right Agreement, dated as of July 1, 2014, between ACGL and 
Maamoun Rajeh†

10-Q

10.15

November 3, 2017

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10.7.15

Share Appreciation Right Agreement, dated as of November 6, 2014, between 
ACGL and Marc Grandisson†

Employment Agreement, dated as of October 27, 2008, between ACGL and John 
D. Vollaro†

Amendment to Employment Agreement, dated February 27, 2015, between ACGL 
and John D. Vollaro†

Second Amendment to Employment Agreement, dated as of January 1, 2018, 
between ACGL and John D. Vollaro†

Employment Agreement, dated as of February 1, 2018, between ACGL and W. 
Preston Hutchings†

Amendment to Employment Agreement, dated November 2, 2020, between ACGL 
and W. Preston Hutchings†
Employment Agreement, dated as of September 19, 2017 between ACGL and 
Maamoun Rajeh†

10.2

10.1

10.1

10.1

10.2

May 8, 2015

October 28, 2008

May 8, 2015

May 9, 2018

August 8, 2018

10-Q

8-K

10-Q

10-Q

10-Q

10-K

10-Q

10.26

November 3, 2017

Employment Agreement, dated as of September 19, 2017 between ACGL and 
Nicholas Papadopoulo†

10-Q

10.27

November 3, 2017

Employment Agreement, dated as of May 25, 2018, between ACGL and François 
Morin†

8-K/A

10.1

July 26, 2018

Employment Agreement, dated as of April 9, 2018, between ACGL and Marc 
Grandisson†

8-K/A

10.1

April 11, 2018

Employment Agreement, dated as of November 13, 2018, between Arch Capital 
Services Inc. and Louis Petrillo†

10-K

10.16

February 28, 2019

Employment Agreement dated as of October 1,2019 between Arch Capital Group 
Ltd. and David Gansberg †

Arch U.S. Executive Supplemental Non-Qualified Savings and Retirement Plan†

Third  Amended and Restated Credit Agreement, dated as of December 17,2019, 
by and among ACGL, certain of its subsidiaries as subsidiary borrowers, Bank of 
America, N.A., as Administrative Agent, Fronting Bank and L/C Administrator, 
and the lenders party thereto

10-K

10-K

8-K

10.16

February 28, 2020

10.24

10.1

March 2, 2009

December 18, 2019

10.8.1

10.8.2

10.8.3

10.9

10.10

10.11

10.12

10.13

10.14

10.15

10.16

10.17

10.18

10.19

Voting and Support Agreement among Watford Holdings Ltd., Arch Reinsurance 
Ltd. and Gulf Reinsurance Ltd. dated October 9, 2020.

8-K

10.1

October 14, 2020

21

23

24

31.1

31.2

32.1

32.2

101

104

Subsidiaries of Registrant

Consent of PricewaterhouseCoopers LLP

Power of Attorney

Certification of Chief Executive Officer pursuant to Section 302 of the Sarbanes-
Oxley Act of 2002

Certification of Chief Financial Officer pursuant to Section 302 of the Sarbanes-
Oxley Act of 2002

Certification of Chief Executive Officer pursuant to Section 906 of the Sarbanes-
Oxley Act of 2002

Certification of Chief Financial Officer pursuant to Section 906 of the Sarbanes-
Oxley Act of 2002

The following financial information from ACGL’s Annual Report on Form 10-K for 
the  year  ended  December  31,  2020  formatted  in  Inline  XBRL:  (i)  Consolidated 
Balance  Sheets  at  December  31,  2020  and  2019;  (ii)  Consolidated  Statements  of 
Income  for  the  years  ended  December  31,  2020,  2019  and  2018;  (iii)  Consolidated 
Statements of Comprehensive Income for the years ended December 31, 2020, 2019 
and  2018;  (iv)  Consolidated  Statements  of  Changes  in  Shareholders’  Equity  for  the 
years ended December 31, 2020, 2019 and 2018; (v) Consolidated Statements of Cash 
Flows  for  the  years  ended  December  31,  2020,  2019  and  2018;  and  (vi)  Notes  to 
Consolidated Financial Statements
Cove Page Interactive Data File (embedded within the Inline XBRL document) 

† Management contract or compensatory plan or arrangement.

X

X

X

X

X

X

X

X

X

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Table of Contents

Pursuant to the requirements of Section 13 or 15(d) of the Securities Exchange Act of 1934, the Registrant has duly 

caused this report to be signed on its behalf by the undersigned, thereunto duly authorized. 

SIGNATURES

ARCH CAPITAL GROUP LTD.
(Registrant)

By:

/s/ Marc Grandisson

Name: Marc Grandisson

Title:

Chief Executive Officer (Principal Executive Officer)

February 26, 2021

Pursuant to the requirements of the Securities Exchange Act of 1934, this report has been signed below by the following 
persons on behalf of the Registrant and in the capacities and on the dates indicated.

Name

Title

Date

/s/ Marc Grandisson
Marc Grandisson

/s/ François Morin
François Morin

Chief Executive Officer (Principal Executive Officer)

February 26, 2021

Executive Vice President and Chief Financial Officer (Principal Financial 
Officer and Principal Accounting Officer) and Treasurer

February 26, 2021

*
John M. Pasquesi

Chairman of the Board

*

John L. Bunce, Jr.

Director

*

Eric W. Doppstadt

Director

*

Laurie S. Goodman

Director

February 26, 2021

February 26, 2021

February 26, 2021

February 26, 2021

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Table of Contents

Name

*

Title

Date

Moira Kilcoyne

Director

February 26, 2021

*

Louis J. Paglia

Director

*

Brian S. Posner

Director

*

Eugene S. Sunshine

Director

*

John D. Vollaro

Director

*

Thomas R. Watjen

Director

February 26, 2021

February 26, 2021

February 26, 2021

February 26, 2021

February 26, 2021

___________________

* 

By François Morin, as attorney-in-fact and agent, pursuant to a power of attorney, a copy of which has been filed with the 
Securities and Exchange Commission as Exhibit 24 to this report.

/s/ François Morin
Name:

François Morin
Attorney-in-Fact

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Table of Contents

 SCHEDULE II

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONDENSED FINANCIAL INFORMATION OF REGISTRANT
(U.S. dollars in thousands)

Balance Sheet
(Parent Company Only)

Assets

Total investments

Cash

Investments in subsidiaries

Due from subsidiaries and affiliates

Other assets

Total assets

Liabilities

Senior notes

Due to subsidiaries and affiliates

Other liabilities

Total liabilities

Shareholders' Equity

Non-cumulative preferred shares

Common shares ($0.0011 par, shares issued: 579,000,841 and 574,617,195)

Additional paid-in capital

Retained earnings

Accumulated other comprehensive income (loss), net of deferred income tax

Common shares held in treasury, at cost (shares: 172,280,199 and 168,997,994)

Total shareholders' equity

Total liabilities and shareholders' equity

December 31,

2020

2019

$ 

172  $ 

18,932 

42 

18,113 

14,377,529 

11,786,861 

— 

18,390 

17 

20,461 

$ 

14,415,023  $ 

11,825,494 

$ 

1,285,867  $ 

297,254 

— 

23,270 

1,309,137 

— 

30,869 

328,123 

780,000 

643 

1,977,794 

12,362,463 

488,895 

780,000 

638 

1,889,683 

11,021,006 

212,091 

(2,503,909) 

(2,406,047) 

$ 

$ 

13,105,886  $ 

11,497,371 

14,415,023  $ 

11,825,494 

The  financial  information  for  the  parent  company  (Arch  Capital  Group  Ltd.)  should  be  read  in  conjunction  with  the  Consolidated  Financial  Statements  and 
Notes thereto.

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Table of Contents

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONDENSED FINANCIAL INFORMATION OF REGISTRANT
(U.S. dollars in thousands)

Statement of Income
(Parent Company Only)

SCHEDULE II
(continued)

Revenues

Net investment income

Net realized gains (losses)

Other income (loss)

Total revenues

Expenses

Corporate expenses

Interest expense

Net foreign exchange (gains) losses

Total expenses

Income (loss) before income taxes

Income tax (expense) benefit

Income (loss) before equity in net income of subsidiaries

Equity in net income of subsidiaries

Net income available to Arch

Preferred dividends

Loss on redemption of preferred shares

Year Ended

December 31,

2020

2019

2018

$ 

53  $ 

212  $ 

(2,110) 

(437) 

(2,494) 

65,566 

40,445 

3 

106,014 

— 

(762) 

(550) 

62,701 

22,154 

1 

84,856 

49 

29 

1,918 

1,996 

64,279 

22,147 

30 

86,456 

(108,508) 

(85,406) 

(84,460) 

— 

— 

(108,508) 

(85,406) 

1,514,029 

1,405,521 

1,721,725 

1,636,319 

(41,612) 

(41,612) 

— 

— 

— 

(84,460) 

842,431 

757,971 

(41,645) 

(2,710) 

Net income available to Arch common shareholders

$ 

1,363,909  $ 

1,594,707  $ 

713,616 

The  financial  information  for  the  parent  company  (Arch  Capital  Group  Ltd.)  should  be  read  in  conjunction  with  the  Consolidated  Financial  Statements  and 
Notes thereto.

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Table of Contents

SCHEDULE II
(continued)

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONDENSED FINANCIAL INFORMATION OF REGISTRANT
(U.S. dollars in thousands)

Statement of Cash Flows
(Parent Company Only)

Operating Activities:

Net Cash Provided By Operating Activities

Investing Activities:

Net (purchases) sales of short-term investments

Capital contributed to subsidiaries

Purchase of fixed assets

Other

Net Cash Used For Investing Activities

Financing Activities:

Purchases of common shares under share repurchase program

Proceeds from common shares issued, net

Redemption of preferred shares

Proceeds from borrowings

Preferred dividends paid

Net Cash Used For Financing Activities

Increase (decrease) in cash and restricted cash

Cash and restricted cash, beginning of year

Cash and restricted cash, end of period

Year Ended

December 31,

2020

2019

2018

$ 

124,751  $ 

52,487  $ 

324,319 

(130) 

(988,975) 

(15) 

— 

(989,120) 

(83,472) 

1,876 

— 

988,393 

(41,612) 

865,185 

816 

18,144 

61 

(2,121) 

(162) 

— 

(2,222) 

(2,871) 

6,203 

— 

— 

(41,612) 

(38,280) 

11,985 

6,159 

$ 

18,960  $ 

18,144  $ 

96,476 

— 

(110) 

(4) 

96,362 

(282,762) 

(7,608) 

(92,555) 

— 

(41,645) 

(424,570) 

(3,889) 

10,048 

6,159 

The  financial  information  for  the  parent  company  (Arch  Capital  Group  Ltd.)  should  be  read  in  conjunction  with  the  Consolidated  Financial  Statements  and 
Notes thereto.

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Table of Contents

SCHEDULE III

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
SUPPLEMENTARY INSURANCE INFORMATION
(U.S. dollars in thousands)

Deferred 
Acquisition 
Costs

Reserves for 
Losses and 
Loss 
Adjustment 
Expenses

Unearned 
Premiums

Net 
Premiums 
Earned

Net 
Investment 
Income (1)

Net Losses 
and Loss 
Adjustment 
Expenses 
Incurred

Amortization 
of Deferred 
Acquisition 
Costs

Other 
Operating 
Expenses (2)

Net 
Premiums 
Written

  $254,833 
278,422 
203,748 
53,705 
  $790,708 

  $8,989,930 
5,027,742 
976,673 
1,519,583 
 $16,513,928 

  $2,334,225 
  1,356,983 
740,043 
407,714 
  $4,838,965 

  $2,871,420 
  2,162,229 
  1,397,935 
560,351 
  $6,991,935 

NM   $2,092,453 
1,628,320 
NM  
528,344 
NM  
440,482 
NM  
NM   $4,689,599 

$418,483 
354,048 
134,240 
98,071 
$1,004,842 

$489,153 
168,011 
162,202 
55,810 
$875,176 

  $3,162,907 
  2,457,370 
  1,279,850 
537,589 
  $7,437,716 

  $188,684 
197,856 
182,816 
64,044 
  $633,400 

  $7,900,328 
4,270,013 
457,872 
1,263,629 
 $13,891,842 

  $1,991,496 
971,776 
937,370 
438,907 
  $4,339,549 

  $2,397,080 
  1,466,389 
  1,366,340 
556,689 
  $5,786,498 

  $152,360 
166,276 
170,080 
80,858 
  $569,574 

  $7,093,018 
3,215,909 
511,610 
1,032,760 
 $11,853,297 

  $1,549,183 
710,774 
  1,103,565 
390,114 
  $3,753,636 

  $2,205,661 
  1,261,216 
  1,186,236 
578,862 
  $5,231,975 

NM   $1,615,475 
1,011,329 
NM  
53,513 
NM  
NM  
453,135 
NM   $3,133,452 

NM   $1,520,680 
846,882 
NM  
81,289 
NM  
NM  
441,255 
NM   $2,890,106 

$361,614 
239,032 
134,319 
105,980 
$840,945 

$349,702 
211,280 
118,595 
125,558 
$805,135 

$454,770 
141,484 
153,092 
51,651 
$800,997 

  $2,641,726 
  1,602,723 
  1,261,756 
532,862 
  $6,039,067 

$364,138 
133,350 
142,432 
37,889 
$677,809 

  $2,212,125 
  1,372,572 
  1,157,875 
604,175 
  $5,346,747 

December 31, 2020
Insurance
Reinsurance
Mortgage
Other

Total

December 31, 2019
Insurance
Reinsurance
Mortgage
Other

Total

December 31, 2018
Insurance
Reinsurance
Mortgage
Other

Total

(1) 

(2) 

The Company does not manage its assets by segment and, accordingly, net investment income is not allocated to each underwriting segment. See note 4, 
“Segment Information,” to our consolidated financial statements in Item 8 for information related to the ‘other’ segment.
Certain other operating expenses relate to the Company’s corporate segment (non-underwriting). Such amounts are not reflected in the table above. See 
note 4, “Segment Information,” to our consolidated financial statements in Item 8 for information related to the corporate segment.

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Table of Contents

Year Ended December 31, 2020
Premiums Written:

Insurance
Reinsurance
Mortgage
Other
Total

Year Ended December 31, 2019
Premiums Written:

Insurance
Reinsurance
Mortgage
Other
Total

Year Ended December 31, 2018
Premiums Written:

Insurance
Reinsurance
Mortgage
Other
Total

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
REINSURANCE
(U.S. dollars in thousands)

SCHEDULE IV

Gross Amount

Ceded to Other 
Companies (1)

Assumed From 
Other Companies 
(1)

Net 
Amount

Percentage of 
Amount 
Assumed to Net

$ 

$ 

$ 

$ 

$ 

$ 

4,659,416  $ 
305,435 
1,192,316 
396,743 
6,553,910  $ 

(1,525,655)  $ 
(1,014,716) 
(194,149) 
(190,957) 
(2,650,352)  $ 

29,146  $ 

3,166,651 
281,683 
331,803 
3,534,158  $ 

3,879,752  $ 
238,229 
1,224,373 
339,169 
5,681,523  $ 

(1,266,267)  $ 
(720,500) 
(204,509) 
(222,019) 
(2,099,893)  $ 

28,241  $ 

2,084,994 
241,892 
415,712 
2,457,437  $ 

3,232,234  $ 
213,809 
1,139,099 
253,760 
4,838,902  $ 

(1,050,207)  $ 
(539,950) 
(202,833) 
(130,840) 
(1,614,257)  $ 

30,098  $ 

1,698,713 
221,609 
481,255 
2,122,102  $ 

3,162,907 
2,457,370 
1,279,850 
537,589 
7,437,716 

2,641,726 
1,602,723 
1,261,756 
532,862 
6,039,067 

2,212,125 
1,372,572 
1,157,875 
604,175 
5,346,747 

 0.9 %
 128.9 %
 22.0 %
 61.7 %
 47.5 %

 1.1 %
 130.1 %
 19.2 %
 78.0 %
 40.7 %

 1.4 %
 123.8 %
 19.1 %
 79.7 %
 39.7 %

(1)  Certain amounts included in the gross premiums written of each segment are related to intersegment transactions and are included in the gross premiums 
written of each segment. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown 
in the table above due to the elimination of intersegment transactions in the total.

ARCH CAPITAL

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Arch Capital Group Ltd.

Directors
John M. Pasquesi 
Chairman 
Managing Member of Otter Capital LLC

3,4,5,6

2,3,4,5

John L. Bunce, Jr. 
Managing Director and Founder of Greyhawk Capital 
Management, LLC and Managing Director and Founder 
of Steel Box, LLC

2,4,5

Eric W. Doppstadt 
Vice President and Chief Investment Officer 
of the Ford Foundation

1,5,6

Laurie S. Goodman 
Vice President at the Urban Institute and Founder 
and Co-Director of its Housing Finance Policy Center

4,5,6

Moira Kilcoyne 
Former Managing Director, Co-Chief Information Officer 
of Morgan Stanley 

2,5,6

Louis J. Paglia 
Founder of Oakstone Capital LLC and Former Executive 
Vice President of UIL Holdings Corporation

Brian S. Posner 
President of Point Rider Group LLC

1,5,6

Officers
Jennifer Centrone
Chief Human Resources Officer

David E. Gansberg
Chief Executive Officer, Mortgage Group

3

Marc Grandisson 
Chief Executive Officer
Director

Chris Hovey
Chief Operations Officer

W. Preston Hutchings
Chief Investment Officer 

François Morin
Chief Financial Officer and Treasurer

Nicolas Papadopoulo
President and Chief Underwriting Officer
Chief Executive Officer, Insurance Group

Louis T. Petrillo
General Counsel

Maamoun Rajeh
Chief Executive Officer, Reinsurance Group

Eugene S. Sunshine 
Former Senior Vice President for Business and Finance 
at Northwestern University

1,2,5

Jay Rajendra
Chief Strategy and Innovation Officer

4,6

John D. Vollaro 
Senior Advisor
Former Executive Vice President, Chief Financial Officer 
and Treasurer

1,4,6

Thomas R. Watjen 
Former President and Chief Executive Officer 
of Unum Group 

1 Audit Committee
2 Compensation Committee
3 Executive Committee
4 Finance, Investment and Risk Committee 
5 Nominating and Governance Committee 
6 Underwriting Oversight Committee

Shareholder Information

Corporate Address
Waterloo House, Ground Floor 
100 Pitts Bay Road
Pembroke HM 08, Bermuda
T:  441 278 9250
F: 441 278 9255

Market Information
The common shares of Arch Capital Group Ltd. are 
listed on the NASDAQ Global Select Market under the 
symbol ACGL.

Transfer Agent
American Stock Transfer & Trust Company, LLC 
6201 15th Avenue
Brooklyn, New York 11219

Shareholder Inquiries
François Morin
Chief Financial Officer and Treasurer
T:  441 278 9250
F: 441 278 9255

 
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©2021 Arch Capital Group Ltd. All Rights Reserved. 00365-0321

Arch Capital Group Ltd. 
2020 Annual Report