The following is a discussion and analysis of the financial condition and
results of operations for the year ended December 31, 2021 and 2020. Comparisons
between 2020 and 2019 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, 2020 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
$16.3 billion in capital at December 31, 2021. Through operations in Bermuda,
the United States, United Kingdom, Europe, Canada, Australia and Hong Kong, we
write 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 that
cycle, a "hard" market is evidenced by high premium rates, restrictive
underwriting standards, favorable terms and conditions, and underwriting gains.
A hard market is eventually followed by

a "soft" market which has the opposite characteristics of low premium rates,
relaxed underwriting standards, broader terms and conditions, and underwriting
losses. Market conditions in the property and casualty arena 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

Our three areas of focus during the year have remained constant. In our property
and casualty segments we continued to focus and grow in sectors where rates
allow for returns that are substantially higher than our cost of capital. Our
mortgage insurance segment has transitioned, for the most part, from forbearance
to recovery and produced results that made a significant contribution to our
underwriting income. We have also continued to focus on actively managing our
investments and capital to enhance our returns.

In keeping with our longstanding underwriting approach, we look for acceptable
books of business to underwrite without sacrificing discipline. Our corporate
culture of being patient in soft markets while maintaining an agile mindset is a
key to our success and allows us to seize opportunities when the odds for
success are more in our favor. The 2021 year reflected the benefits of
attractive pricing in almost all of our insurance markets. As a result, we
currently expect favorable market conditions to continue in 2022, partially due
to the compounding of rate-on-rate increases and the rebalancing of our mix of
business. We believe that this time-tested strategy of protecting capital
through soft markets and increasing our writings in hard markets gives us the
best chance to generate superior risk adjusted returns over time. As long as
rate increases support returns above our required thresholds, we expect to
continue to grow our writings.


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The property casualty industry is facing many degrees of uncertainty, including
heightened catastrophe activity, rising inflation, COVID's ongoing influence on
the global economy and perennially low interest rates. These factors continue to
influence the trajectory and market acceptance of rate increases and reinforce
why we remain optimistic that improved economics in the property casualty market
will be sustainable for some time.

Rate improvements have enabled us to continue to expand writings in our property
casualty segments as we have been for two years now. Rate momentum remained
healthy and rate increases were well above the long-term loss cost trends and
have spread to more lines than last year. Our early focus on Lloyd's and
business in the U.K. has improved our scale and our economics in this market.
Some of our business lines that were most impacted by COVID, like travel, are
recapturing some of the lost volume as both business and consumer travel
increases.

In reinsurance, strong growth was observed across most of our lines of business,
a reflection of our diversified specialty mix of business and our larger
participation in quota share reinsurance which allows us to participate in the
improved premium rates of cedents more directly. 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. While property catastrophe
rates were up broadly at January 1, 2022 renewals, the increases were not enough
for us to deploy more capital into our peak zones. However, we found many
opportunities to grow in the other 93% of our reinsurance business that is
specialty in nature, including property excluding property catastrophe.

For our U.S. primary mortgage operations, delinquencies continue to be lower
than our expectations at the beginning of the COVID-19 pandemic. Overall, the
U.S. market remains competitive but rational and our mortgage business continues
to generate returns on capital in the mid teens. Outside of the U.S., we
increased our writings in Australia as a result of the housing market remaining
strong and due to our acquisition of Westpac's LMI business.

We remain committed to providing solutions across many offerings as the
marketplace evolves, including the mortgage credit risk transfer programs
initiated by government sponsored enterprises ("GSEs"). In addition, we enter
into aggregate excess of loss mortgage reinsurance agreements with various
special purpose reinsurance companies domiciled in Bermuda and issue mortgage
insurance linked notes, increasing our protection for mortgage tail risk. The
Bellemeade structures provide approximately $4.6 billion of aggregate
reinsurance coverage at December 31, 2021.

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



Book value per share represents total common shareholders' equity available to
Arch divided by the number of common shares and common share equivalents
outstanding. 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 is 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 $33.56 at December 31, 2021, a 10.7% increase
from $30.31 at December 31, 2020. The growth in 2021 reflected strong
underwriting returns and income from operating affiliates.

Operating Return on Average Common Equity



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
period. After-tax operating income available to Arch 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 return generated
to Arch common shareholders. See "Comment on Non-GAAP Financial Measures." Our
Operating ROAE was 11.5% for 2021, compared to 4.8% for 2020. Returns for the
2021 period reflected strong underwriting returns and income from operating
affiliates, while the 2020 period reflected the impact of COVID-19 on
underwriting results.


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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 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 for Arch common shareholders on the capital held in the
business, and compares the return generated by our investment portfolio against
benchmark returns.

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



                                                           Arch           Benchmark
                                                       Portfolio (1)        

Return


Pre-tax total return (before investment expenses):
Year Ended December 31, 2021                                  1.90  %        1.20  %
Year Ended December 31, 2020                                  7.77  %        7.16  %

(1) Our investment expenses were approximately 0.32% and 0.31%, respectively, of average invested assets in 2021 and 2020.

Total return for our investment portfolio outperformed the benchmark return index in 2021 and reflected the impact of strong returns on alternatives and equities, partially offset by low returns on our fixed income portfolio.



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 index should not be
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, 2021, the benchmark return
index had an average credit quality of "Aa3" by Moody's, an estimated duration
of 3.14 years.

The benchmark return index included weightings to the following indices:

%


ICE BoAML 1-10 Year A - AAA U.S. Corporate Index                                       21.00  %
ICE BoAML 1-5 Year U.S. Treasury Index                                                 15.00
MSCI ACWI Net Total Return USD Index                                                    8.60
ICE BoAML 3-5 Year Fixed Rate Asset Backed Securities Index                             7.00
S&P Leveraged Loan Total Return Index                                                   5.20
Bloomberg Barclays CMBS Invest Grade Aaa Total Return Index                             5.00
ICE BoAML 1-10 Year BBB U.S. Corporate Index                                            4.00
ICE BoAML U.S. Mortgage Backed Securities Index                                         4.00
ICE BoAML 1-5 Year U.K. Gilt Index                                                      4.00
ICE BoAML German Government 1-10 Year Index                                             3.50
ICE BoAML 0-3 Month U.S. Treasury Bill Index                                            3.25
ICE BoAML 1-10 Year U.S. Municipal Securities Index                                     3.00
ICE BoAML 5-10 Year U.S. Treasury Index                                                 3.00
ICE BoAML 1-5 Year Australia Government Index                                           2.75
ICE BoAML U.S. High Yield Constrained Index                                             2.50
ICE BoAML 1-5 Year Canada Government Index                                              2.00
Bloomberg Barclays Global High Yield Total Return Index                                 1.50

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

             1.50

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

             0.90
FTSE Nareit All Mortgage Capped Index Total Return USD                                  0.90
Bloomberg Barclays CMBS: Erisa Eligible Unhedged USD                                    0.90
ICE BoAML 20+ Year Canada Government Index                                              0.50
Total                                                                                 100.00  %

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 net income return on
average common equity (the most directly comparable GAAP financial measures) in
accordance with Regulation G is included under "Results of Operations" below.


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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 recognition of
foreign exchange gains or losses are 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.
The loss on redemption of preferred shares related to the redemption of the
Company's Series E preferred shares in September 2021 had no impact on
shareholders' equity or cash flows. 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, transaction
costs and other and loss on redemption of preferred shares from the calculation
of after-tax operating income available to Arch common shareholders.

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 income available
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.

Our segment information includes the presentation of consolidated underwriting
income or loss and a subtotal of underwriting income or loss before the
contribution from the 'other' segment. Such measures represent the pre-tax
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 to our individual underwriting operations. Underwriting income or
loss does not incorporate items included in our corporate 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 before
the contribution from the 'other' segment, in 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, income from operating affiliates and other non-underwriting
related items are not allocated to each underwriting segment.

Along with consolidated underwriting income, we provide a subtotal of
underwriting income or loss before the contribution from the 'other' segment.
Through June 30, 2021, the 'other' segment included the results of Somers
Holdings Ltd. (formerly Watford Holdings Ltd.). Somers Holdings Ltd. is the
parent of Somers Re Ltd., a multi-line Bermuda reinsurance company (together
with Somers Holdings Ltd., "Somers"). Pursuant to GAAP, Somers was


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considered a variable interest entity and we concluded that we were the primary
beneficiary of Somers. As such, we consolidated the results of Somers in our
consolidated financial statements through June 30, 2021. In the 2020 fourth
quarter, Arch Capital, Somers, and Greysbridge Ltd., a wholly-owned subsidiary
of Arch Capital, entered into an Agreement and Plan of Merger (as amended, the
"Merger Agreement"). Arch Capital assigned its rights under the Merger Agreement
to Greysbridge Holdings Ltd. ("Greysbridge"). The merger and the related
Greysbridge equity financing closed on July 1, 2021. Effective July 1, 2021,
Somers is wholly owned by Greysbridge, and Greysbridge is owned 40% by Arch and
30% by certain funds managed by Kelso and 30% by certain funds managed by
Warburg. Based on the governing documents of Greysbridge, we concluded that,
while we retain significant influence over Greysbridge, Greysbridge does not
constitute a variable interest entity. Accordingly, effective July 1, 2021, we
no longer consolidate the results of Somers in our consolidated financial
statements and footnotes.

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
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 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.

RESULTS OF OPERATIONS


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.



                                                                  Year 

Ended December 31,


                                                               2021                    2020

Net income available to Arch common shareholders $ 2,093,405

      $    1,363,909
Net realized (gains) losses                                    (307,466)               (814,808)

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

                                        (366,402)               (146,693)
Net foreign exchange (gains) losses                             (42,743)                 80,591
Transaction costs and other                                       1,199                   9,964
Loss on redemption of preferred shares                           15,101                       -
Income tax expense (benefit) (1)                                 41,836                  64,145

After-tax operating income available to Arch common shareholders

$    1,434,930

$ 557,108



Beginning common shareholders' equity                    $   12,325,886          $   10,717,371
Ending common shareholders' equity                           12,715,896     

12,325,886


Average common shareholders' equity                      $   12,520,891

$ 11,521,629



Annualized net income return on average common equity %            16.7                    11.8
Annualized operating return on average common equity %             11.5                     4.8


(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 operating segments- corporate and 'other.' Our
insurance, reinsurance and mortgage segments each have managers who are
responsible for the overall 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


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Table of Contents accordingly, investment income is not allocated to each underwriting segment.



We determined our 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 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:

                                                      Year Ended December 31,
                                            2021              2020             % Change
Gross premiums written                 $ 5,867,734       $ 4,688,562             25.1
Premiums ceded                          (1,719,541)       (1,525,655)
Net premiums written                     4,148,193         3,162,907             31.2
Change in unearned premiums               (521,725)         (291,487)
Net premiums earned                      3,626,468         2,871,420             26.3
Other underwriting income                        -               (31)
Losses and loss adjustment expenses     (2,344,365)       (2,092,453)
Acquisition expenses                      (606,265)         (418,483)
Other operating expenses                  (558,906)         (489,153)
Underwriting income (loss)             $   116,932       $  (128,700)           190.9

Underwriting Ratios                                                         % Point Change
Loss ratio                                    64.6  %           72.9  %          (8.3)
Acquisition expense ratio                     16.7  %           14.6  %           2.1
Other operating expense ratio                 15.4  %           17.0  %          (1.6)
Combined ratio                                96.7  %          104.5  %          (7.8)


The insurance segment consists of our insurance 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.

Premiums Written.



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

                                                         Year Ended December 31,
                                                    2021                         2020
                                              Amount           %          Amount           %
Professional lines                        $  1,177,144         28.4    $   743,486         23.5
Property, energy, marine and aviation          770,954         18.6        619,034         19.6
Programs                                       595,824         14.4        437,973         13.8
Construction and national accounts             383,580          9.2        364,104         11.5
Excess and surplus casualty                    359,458          8.7        297,330          9.4
Travel, accident and health                    305,390          7.4        212,974          6.7
Lenders products                               146,984          3.5        156,119          4.9
Other                                          408,859          9.9        331,887         10.5
Total                                     $  4,148,193        100.0    $ 3,162,907        100.0


Net premiums written by the insurance segment were 31.2% higher in 2021 than in
2020. 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.

Net Premiums Earned.

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

                                                         Year Ended December 31,
                                                    2021                         2020
                                              Amount           %          Amount           %
Professional lines                        $    942,817         26.0    $   655,872         22.8
Property, energy, marine and aviation            702,693       19.4          517,247       18.0
Programs                                         506,867       14.0          432,854       15.1
Construction and national accounts               381,306       10.5          387,934       13.5
Excess and surplus casualty                      318,027        8.8          270,620        9.4
Travel, accident and health                      255,590        7.0          190,944        6.6
Lenders products                                 153,958        4.2          114,687        4.0
Other                                            365,210       10.1          301,262       10.5
Total                                     $  3,626,468        100.0    $ 2,871,420        100.0


Net premiums written are primarily earned on a pro rata basis over the terms of
the policies for all products, usually 12 months. Net premiums earned by the
insurance segment were 26.3% higher in 2021 than in 2020, reflecting changes in
net premiums written over the previous five quarters.


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  Table of Contents
Losses and Loss Adjustment Expenses.

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


                                          Year Ended December 31,
                                              2021                2020
Current year                                         65.0  %     73.2  %
Prior period reserve development                     (0.4) %     (0.3) %
Loss ratio                                           64.6  %     72.9  %


Current Year Loss Ratio.

The insurance segment's current year loss ratio was 8.2 points lower in 2021
than in 2020. The 2021 loss ratio included 5.6 points of current year
catastrophic event activity, primarily related to Hurricane Ida and winter
storms Uri and Viola, compared to 9.5 points in 2020, which included exposure to
the COVID-19 global pandemic. The balance of the change in the 2021 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 $16.2 million, or 0.4
points, for 2021, compared to $7.8 million, or 0.3 points, for 2020. 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.

Underwriting Expenses.

The insurance segment's underwriting expense ratio was 32.1% in 2021, compared to 31.6% in 2020, with the increase primarily reflected growth in lines of business with higher acquisition costs, partially offset by growth in net premiums earned.

Reinsurance Segment



The following tables set forth our reinsurance segment's underwriting results:
                                                     Year Ended December 31,
                                           2021              2020             % Change
Gross premiums written                $ 5,093,930       $ 3,472,086             46.7
Premiums ceded                         (1,839,556)       (1,014,716)
Net premiums written                    3,254,374         2,457,370             32.4
Change in unearned premiums              (413,931)         (295,141)
Net premiums earned                     2,840,443         2,162,229             31.4
Other underwriting income (loss)            3,669             4,454
Losses and loss adjustment expenses    (1,924,719)       (1,628,320)
Acquisition expenses                     (536,754)         (354,048)
Other operating expenses                 (212,810)         (168,011)
Underwriting income                   $   169,829       $    16,304            941.6

Underwriting Ratios                                                          % Point Change
Loss ratio                                   67.8  %           75.3  %          (7.5)
Acquisition expense ratio                    18.9  %           16.4  %           2.5
Other operating expense ratio                 7.5  %            7.8  %          (0.3)
Combined ratio                               94.2  %           99.5  %          (5.3)


The reinsurance segment consists of our reinsurance 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.

Premiums Written.



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

                                                         Year Ended December 31,
                                                    2021                         2020
                                              Amount           %          Amount           %
Property excluding property catastrophe   $  1,004,086         30.9    $   697,086         28.4
Other Specialty                                955,474         29.4        709,308         28.9
Casualty                                       808,164         24.8        542,319         22.1
Property catastrophe                           233,260          7.2        286,210         11.6
Marine and aviation                            171,753          5.3        141,414          5.8
Other                                             81,637        2.5           81,033        3.3
Total                                     $  3,254,374        100.0    $ 2,457,370        100.0


Gross premiums written by the reinsurance segment in 2021 were 46.7% higher than
in 2020, while net premiums written were 32.4% higher than in 2020. The growth
in net premiums written reflected increases in most lines of business, primarily
due to growth in existing accounts, new business, and rate increases.



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Net Premiums Earned.

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

                                                         Year Ended December 31,
                                                    2021                         2020
                                              Amount           %          Amount           %
Property excluding property catastrophe   $    836,573         29.5    $   562,208         26.0
Other Specialty                                818,801         28.8        626,409         29.0
Casualty                                       666,754         23.5        549,056         25.4
Property catastrophe                           280,738          9.9        237,736         11.0
Marine and aviation                            152,955          5.4        109,624          5.1
Other                                           84,622          3.0         77,196          3.6
Total                                     $  2,840,443        100.0    $ 2,162,229        100.0


Net premiums earned in 2021 were 31.4% higher than in 2020, reflecting changes
in net premiums written over the previous five quarters, including the mix and
type of business written.

Other Underwriting Income (Loss).

Other underwriting income in 2021 was $3.7 million, compared to $4.5 million in 2020.

Losses and Loss Adjustment Expenses.

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


                                          Year Ended December 31,
                                              2021                2020
Current year                                         74.1  %     81.5  %
Prior period reserve development                     (6.3) %     (6.2) %
Loss ratio                                           67.8  %     75.3  %


Current Year Loss Ratio.

The reinsurance segment's current year loss ratio was 7.4 points lower in 2021
than in 2020. The 2021 loss ratio included 16.5 points for current year
catastrophic event activity, primarily related to Hurricane Ida and winter
storms Uri and Viola, as well as other minor global events, compared to 20.1
points in 2020. The 2020 period loss ratio included exposure to the COVID-19
pandemic. The balance of the change in the 2021 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 $178.8 million, or 6.3 points, for 2021, compared to $134.0 million, or 6.2 points, for 2020, 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.

Underwriting Expenses.



The underwriting expense ratio for the reinsurance segment was 26.4% in 2021,
compared to 24.2% in 2020, with the increase primarily resulting from changes in
mix of business to lines with higher acquisition costs and expenses related to
favorable development of prior year loss reserves.

Mortgage Segment

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



                                                      Year Ended December 31,
                                            2021              2020             % Change
Gross premiums written                 $ 1,507,825       $ 1,473,999              2.3
Premiums ceded                            (246,757)         (194,149)
Net premiums written                     1,261,068         1,279,850             (1.5)
Change in unearned premiums                 22,351           118,085
Net premiums earned                      1,283,419         1,397,935             (8.2)
Other underwriting income                   17,665            20,316
Losses and loss adjustment expenses        (56,677)         (528,344)
Acquisition expenses                       (97,418)         (134,240)
Other operating expenses                  (194,010)         (162,202)
Underwriting income                    $   952,979       $   593,465             60.6

Underwriting Ratios                                                           % Point Change
Loss ratio                                     4.4  %           37.8  %         (33.4)
Acquisition expense ratio                      7.6  %            9.6  %          (2.0)
Other operating expense ratio                 15.1  %           11.6  %           3.5
Combined ratio                                27.1  %           59.0  %         (31.9)


Premiums Written.

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



                                                    Year Ended December 31,
                                                     2021             2020
Net premiums written by underwriting location
United States                                   $    914,477      $ 1,021,950
Other                                                  346,591          257,900
Total                                           $  1,261,068      $ 1,279,850


Gross premiums written by the mortgage segment in 2021 were 2.3% higher than in
2020, primarily reflecting growth in Australian single premium mortgage
insurance and due to the acquisition of Westpac Lenders Mortgage Insurance
Limited in 2021, which was partially offset by a lower level of U.S. primary
mortgage insurance monthly and single premium volume. Net premiums written for
2021 were 1.5% lower than in the 2020 period. Net premiums written for the 2021
period reflected a higher level of premiums ceded than in the 2020 period.


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The persistency rate of the U.S. primary portfolio of mortgage loans was 62.4%
at December 31, 2021 compared to 58.7% at December 31, 2020, with the increase
primarily reflecting a lower level of refinancing activity due to a higher
interest rate environment. 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):



                                                    Year Ended December 31,
                                                     2021             2020
Net premiums earned by underwriting location
United States                                   $    970,507      $ 1,158,563
Other                                                  312,912          239,372
Total                                           $  1,283,419      $ 1,397,935

Net premiums earned for 2021 were 8.2% lower than in 2020, primarily reflecting a lower level of earnings from single premium policy terminations.

Other Underwriting Income.

Other underwriting income, which is primarily related to GSE risk-sharing transactions, was $17.7 million for 2021, compared to $20.3 million for 2020.

Losses and Loss Adjustment Expenses.

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



                                          Year Ended December 31,
                                              2021                2020
Current year                                         17.6  %     39.2  %
Prior period reserve development                    (13.2) %     (1.4) %
Loss ratio                                            4.4  %     37.8  %


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 2021 or
2020.

Current Year Loss Ratio.

The mortgage segment's current year loss ratio was 21.6 points lower in 2021
compared to 2020. The percentage of loans in default on U.S. primary mortgage
insurance decreased from 4.19% at December 31, 2020 to 2.36% at December 31,
2021.

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
require knowledge of 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.

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
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.

Prior Period Reserve Development.



The mortgage segment's net favorable development was $169.6 million, or 13.2
points, for 2021, compared to $19.0 million, or 1.4 points, for 2020. 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 22.7% for 2021, in
line with 21.2% for 2020, with the increase primarily due to a lower level of
net premiums earned in the U.S. primary mortgage insurance business.


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Corporate Segment

The corporate segment results include net investment income, net realized gains
or losses, equity in net income or 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 or losses, income taxes, income from operating affiliates and items
related to our non-cumulative preferred shares. Such amounts exclude the results
of the 'other' segment.

Net Investment Income.

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

                                Year Ended December 31,
                                  2021               2020
Fixed maturities          $     307,536           $ 358,804
Equity securities                42,094              28,007
Short-term investments            6,799               6,573
Other (1)                        68,411              77,951
Gross investment income         424,840             471,335
Investment expenses (2)         (78,032)            (69,427)
Net investment income     $     346,808           $ 401,908


(1)  Amounts include dividends and other distributions on investment funds, term
loan investments, funds held balances, cash balances and other.
(2)  Investment expenses were approximately 0.32% of average invested assets for
2021, compared to 0.31% for 2020.

The pre-tax investment income yield was 1.41% for 2021, compared to 1.78% for 2020. The lower level of net investment income for 2021 compared to 2020 reflected lower yields available in the financial markets. The pre-tax 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.

Net Realized Gains (Losses).



We recorded net realized gains of $299.2 million for 2021, compared to net
realized gains of $813.8 million for 2020. 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 to relative value determinations.

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),"   and   note 9, "Investment
Information-Allowance for Credit Losses,"   to our consolidated financial
statements for additional information.

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



We recorded $366.4 million of equity in net income related to investments
accounted for using the equity method for 2021, compared to $146.7 million for
2020. Investments accounted for using the equity method totaled $3.1 billion at
December 31, 2021, compared to $2.0 billion at December 31, 2020. 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.

Other Income (Loss)

Other income of $10.2 million for 2021 period primarily reflected our investment in corporate-owned life insurance.

Corporate Expenses.



Corporate expenses were $77.1 million for 2021, compared to $68.5 million for
2020. 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 $1.1 million for 2021, compared to $9.5 million for 2020. Amounts in both periods are primarily related to acquisition activity.

Amortization of Intangible Assets.



Amortization of intangible assets for 2021 was $82.1 million, compared to $69.0
million for 2020. Amounts in 2021 and 2020 primarily related to amortization of
finite-lived intangible assets. The increase in amortization of intangible
assets expense was a result of acquisitions closed during the 2021 period. See

note 2, "Acquisitions."

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Interest Expense.

Interest expense was $131.1 million for 2021, compared to $120.2 million for
2020. 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.

Net Foreign Exchange Gains or Losses.

Net foreign exchange gains for 2021 were $42.9 million, compared to net foreign exchange losses for 2020 of $80.2 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
5.6% for 2021, compared to an expense of 7.4% for 2020. The effective tax rate
for 2021 period included discrete income tax benefits of $39.3 million, compared
to a benefit of $2.5 million for 2020. The discrete tax items in the 2021 period
primarily relate to the release of valuation allowances on certain international
deferred tax assets. 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 2021 and 2020.

Income (Loss) from Operating Affiliates.



We recorded $264.7 million of net income from our operating affiliates in the
2021 period, compared to income of $16.8 million in the 2020 period. Results for
the 2021 period included a one-time gain of $95.7 million recognized from the
Company's investment in Greysbridge and a one-time gain of $74.5 million
recognized from the Company's investment in Coface SA ("Coface"), a France-based
leader in the global trade credit insurance market.

Loss on Redemption of Preferred Shares.



In 2021, we redeemed all 5.25% Series E preferred shares and recorded a loss of
$15.1 million to remove original issuance costs related to the redeemed shares
from additional paid-in capital. Such adjustment had no impact on total
shareholders' equity or cash flows.

Other Segment



Through June 30, 2021, the 'other' segment included the results of Somers.
Pursuant to GAAP, Somers was considered a variable interest entity and we
concluded that we were the primary beneficiary of Somers. As such, we
consolidated the results of Somers in our consolidated financial statements
through June 30, 2021. In July 2021, we announced the completion of the
previously disclosed acquisition of Somers by Greysbridge. Based on the
governing documents of Greysbridge, the Company has concluded that, while it
retains significant influence over Somers, Somers no longer constitutes a
variable interest entity. Accordingly, effective July 1, 2021, Arch no longer
consolidates the results of Somers in its consolidated financial statements. 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.

SUMMARY OF CRITICAL ACCOUNTING ESTIMATES




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 revenue recognition, insurance and
other reserves, 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.


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Loss Reserves

We are required by applicable insurance laws and regulations and GAAP to
establish reserves for losses and loss 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.

At December 31, 2021 and 2020, our Loss Reserves, net of unpaid losses and loss
adjustment expenses recoverable, by type and by operating segment were as
follows:

                                     December 31,
                                2021              2020
Insurance segment:
Case reserves              $  2,102,891      $  2,051,640
IBNR reserves                   4,269,904         3,889,823
Total net reserves            6,372,795         5,941,463
Reinsurance segment:
Case reserves                 1,733,571         1,560,523
Additional case reserves          426,531           280,472
IBNR reserves                   2,656,527         2,253,953
Total net reserves            4,816,629         4,094,948
Mortgage segment:
Case reserves                   741,897           631,921
IBNR reserves                     226,604           271,702
Total net reserves              968,501           903,623
Other segment:
Case reserves                         -           566,587
Additional case reserves              -            32,321
IBNR reserves                         -           660,132
Total net reserves                    -         1,259,040
Total:
Case reserves                 4,578,359         4,810,671
Additional case reserves          426,531           312,793
IBNR reserves                   7,153,035         7,075,610
Total net reserves         $ 12,157,925      $ 12,199,074


At December 31, 2021 and 2020, the insurance segment's Loss Reserves by major
line of business, net of unpaid losses and loss adjustment expenses recoverable,
were as follows:

                                                 December 31,
                                            2021             2020
Professional lines (1)                  $ 1,673,615      $ 1,482,820

Construction and national accounts 1,490,206 1,395,067 Excess and surplus casualty (2)

               657,307          816,495
Programs                                      793,187          699,354
Property, energy, marine and aviation         599,093          517,692
Travel, accident and health                    96,051           98,910
Lenders products                               58,351           48,946
Other (3)                                   1,004,985          882,179
Total net reserves                      $ 6,372,795      $ 5,941,463

(1) Includes professional liability, executive assurance and healthcare business. (2) Includes casualty and contract binding business. (3) Includes alternative markets, excess workers' compensation and surety business.



At December 31, 2021 and 2020, the reinsurance segment's Loss Reserves by major
line of business, net of unpaid losses and loss adjustment expenses recoverable,
were as follows:

                                                         December 31,
                                                    2021             2020
Casualty (1)                                    $ 2,123,360      $ 1,995,849
Other specialty (2)                                 1,113,766          917,178
Property excluding property catastrophe (3)           711,859          594,033
Marine and aviation                                   246,861          204,205
Property catastrophe                                  486,911          268,858
Other (4)                                             133,872          114,825
Total net reserves                              $ 4,816,629      $ 4,094,948


(1)  Includes executive assurance, professional liability, workers'
compensation, excess motor, healthcare and other.
(2)  Includes non-excess motor, surety, accident and health, workers'
compensation catastrophe, agriculture, trade credit and other.
(3)  Includes property facultative business.
(4)  Includes life, casualty clash and other.

At December 31, 2021 and 2020, the mortgage segment's Loss Reserves by major
line of business, net of unpaid losses and loss adjustment expenses recoverable,
were as follows:

                                                      December 31,
                                                  2021           2020
U.S. primary mortgage insurance (1)            $ 710,708      $ 649,748

U.S. credit risk transfer (CRT) and other 112,549 134,857 International mortgage insurance/reinsurance 145,244 119,017



Total net reserves                             $ 968,501      $ 903,623


(1)  At December 31, 2021, 27.0% of total net reserves represent policy years
2011 and prior and the remainder from later policy years. At December 31, 2020,
28.3% of total net reserves represent policy years 2011 and prior and the
remainder from later policy years.


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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, 2021 by underwriting
segment. The scenarios shown in the tables summarize the effect of (i) changes
to the expected loss ratio selections used at December 31, 2021, 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, 2021, 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.

                                                    Higher Expected Loss             Slower Loss
INSURANCE SEGMENT                                          Ratios                Development Patterns
Reserving lines selected assumptions:
Property, energy, marine and aviation                            5 points                     3 months
Third party occurrence business                                        10                            6
Third party claims-made business                                       10                            6
Multi-line and other specialty                                         10                            6

Increase (decrease) in Loss Reserves:
Property, energy, marine and aviation              $            44,245          $            73,192
Third party occurrence business                                317,483                      165,701
Third party claims-made business                               149,689                      148,642
Multi-line and other specialty                                 145,365                      132,792


                                                    Lower Expected Loss             Faster Loss
INSURANCE SEGMENT                                         Ratios                Development Patterns
Reserving lines selected assumptions:
Property, energy, marine and aviation                         (5) points                   (3) months
Third party occurrence business                                     (10)                          (6)
Third party claims-made business                                    (10)                          (6)
Multi-line and other specialty                                      (10)                          (6)

Increase (decrease) in Loss Reserves:
Property, energy, marine and aviation              $          (41,610)         $           (35,731)
Third party occurrence business                              (316,771)                    (144,688)
Third party claims-made business                             (149,618)                    (118,728)
Multi-line and other specialty                               (141,854)                     (89,390)


                                                   Higher Expected Loss             Slower Loss
REINSURANCE SEGMENT                                       Ratios                Development Patterns
Reserving lines selected assumptions:
Casualty                                                       10 points                     6 months
Other specialty                                                        5                            3
Property excluding property catastrophe                                5                            3
Property catastrophe                                                   5                            3
Marine and aviation                                                    5                            3
Other                                                                  5                            3

Increase (decrease) in Loss Reserves:
Casualty                                           $          159,539          $           184,503
Other specialty                                                86,426                       79,244
Property excluding property catastrophe                        30,662                       77,092
Property catastrophe                                           28,532                       46,563
Marine and aviation                                            13,801                       21,679
Other                                                           7,253                        4,901


                                                    Lower Expected Loss             Faster Loss
REINSURANCE SEGMENT                                       Ratios                Development Patterns
Reserving lines selected assumptions:
Casualty                                                     (10) points                   (6) months
Other specialty                                                      (5)                          (3)
Property excluding property catastrophe                              (5)                          (3)
Property catastrophe                                                 (5)                          (3)
Marine and aviation                                                  (5)                          (3)
Other                                                                (5)                          (3)

Increase (decrease) in Loss Reserves:
Casualty                                           $         (159,539)         $          (142,727)
Other specialty                                               (86,397)                     (98,539)
Property excluding property catastrophe                       (30,662)                     (70,358)
Property catastrophe                                          (28,532)                     (30,353)
Marine and aviation                                           (13,924)                     (22,699)
Other                                                          (7,253)                      (4,688)


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, 2021 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, 2021 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 approximately 34% of the unpaid
principal balance at December 31, 2021), we estimated that our loss reserves
would change by approximately $28.0 million at December 31, 2021. For every one
percentage point change in our primary net default to claim rate (which we
estimate to


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be approximately 39% at December 31, 2021), we estimated a $24.0 million change
in our loss reserves at December 31, 2021.

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, 2021, our recorded Loss Reserves by underwriting segment, net of
unpaid losses and loss adjustment expenses recoverable, and the results of the
simulation were as follows:

                                   Insurance Segment                 Reinsurance Segment                 Mortgage Segment                     Total
Loss
Reserves (1)                           $6,372,795                         $4,816,629                          $968,501                       $12,157,925

Simulation results:
90th percentile (2)                    $7,670,396                         $5,851,277                        $1,159,743                       $14,001,252
10th percentile (3)                    $5,128,642                         $3,903,565                          $791,504                       $10,398,665


(1)  Net of reinsurance recoverables.
(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 $1.8 billion, or $4.60
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 $1.8 billion, or $4.39 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, such as
asbestos-related illnesses and other long-tail liabilities. It is difficult to
provide meaningful trend

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, 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, 2021. Accordingly, the reserving for incurred losses in
these lines of business could be subject to greater variability. See Item 1A,
"Risk Factors - Risks Relating to Our Industry, Business & Operations -
Underwriting risks and reserving for losses are based on probabilities and
related modeling which are subject to inherent uncertainties."

Mortgage Operations Supplemental Information

The mortgage segment's insurance in force ("IIF") and risk in force ("RIF") were as follows at December 31, 2021 and 2020:



(U.S. Dollars in millions)                           December 31,
                                           2021                       2020
                                    Amount          %          Amount          %
Insurance In Force (IIF) (1):
U.S. primary mortgage insurance   $ 280,945        61.0      $ 280,579        66.2
U.S. credit risk transfer
(CRT) and other (2)                 110,018        23.9        103,535        24.4
International mortgage
insurance/reinsurance (3)            69,655        15.1         39,425         9.3
Total                             $ 460,618       100.0      $ 423,539       100.0
Risk In Force (RIF) (4):
U.S. primary mortgage insurance   $  70,619        84.3      $  70,522        90.5
U.S. credit risk transfer
(CRT) and other (2)                   5,120         6.1          4,699         6.0
International mortgage
insurance/reinsurance (3)             7,983         9.5          2,673         3.4
Total                             $  83,722       100.0      $  77,894       100.0


(1)  Represents the aggregate dollar amount of each insured mortgage loan's
current principal balance.
(2)  Includes all CRT transactions, which are predominantly with GSEs, and other
U.S. reinsurance transactions.
(3)  Includes risks primarily located in Australia.
(4)  The aggregate dollar 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 risk-sharing or reinsurance.


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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, 2021:

(U.S. Dollars in millions)              IIF                       RIF               Delinquency
                                Amount          %          Amount         %          Rate (1)
Policy year:
2011 and prior                $  11,245         4.0      $  2,509         3.6            9.24  %
2012                              1,785         0.6           451         0.6            2.33  %
2013                              4,206         1.5         1,148         1.6            2.63  %
2014                              4,822         1.7         1,328         1.9            3.14  %
2015                              8,703         3.1         2,340         3.3            2.67  %
2016                             14,344         5.1         3,841         5.4            3.29  %
2017                             13,128         4.7         3,436         4.9            4.09  %
2018                             14,046         5.0         3,562         5.0            5.28  %
2019                             25,841         9.2         6,467         9.2            3.13  %
2020                             82,502        29.4        20,341        28.8            0.97  %
2021                            100,323        35.7        25,196        35.7            0.29  %
Total                         $ 280,945       100.0      $ 70,619       100.0            2.36  %

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

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:
2011 and prior                $  14,588         5.2      $  3,327         4.7           11.36  %
2012                              3,651         1.3           992         1.4            2.98  %
2013                              7,546         2.7         2,107         3.0            3.30  %
2014                              8,261         2.9         2,273         3.2            4.06  %
2015                             15,032         5.4         4,048         5.7            3.72  %
2016                             24,958         8.9         6,648         9.4            4.77  %
2017                             24,748         8.8         6,413         9.1            5.52  %
2018                             27,304         9.7         6,918         9.8            6.76  %
2019                             48,304        17.2        12,001        17.0            4.61  %
2020                            106,187        37.8        25,795        36.6            0.76  %

Total                         $ 280,579       100.0      $ 70,522       100.0            4.19  %

(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, 2021 and 2020:



(U.S. Dollars in millions)                                   December 31,
                                                   2021                       2020
                                            Amount          %          Amount          %
Credit quality (FICO):
>=740                                     $ 42,451         60.1      $ 40,774         57.8
680-739                                     23,646         33.5        24,498         34.7
620-679                                      4,196          5.9         4,837          6.9
<620                                           326          0.5           413          0.6
Total                                     $ 70,619        100.0      $ 70,522        100.0
Weighted average FICO score                    746                        743

Loan-to-Value (LTV):
95.01% and above                          $  7,538         10.7      $  8,643         12.3
90.01% to 95.00%                            38,829         55.0        37,877         53.7
85.01% to 90.00%                            20,006         28.3        20,013         28.4
85.00% and below                             4,246          6.0         3,989          5.7
Total                                     $ 70,619        100.0      $ 70,522        100.0
Weighted average LTV                          92.8  %                    92.8  %

Total RIF, net of external reinsurance    $ 54,574                   $ 

56,658




(U.S. Dollars in millions)                      December 31,
                                       2021                      2020
                                Amount         %          Amount         %
Total RIF by State:
Texas                         $  5,594         7.9      $  5,636         8.0
California                       5,559         7.9         5,261         7.5
Florida                          3,303         4.7         3,632         5.2
Illinois                         2,933         4.2         2,762         3.9
North Carolina                   2,921         4.1         2,622         3.7
Minnesota                        2,916         4.1         2,520         3.6
Georgia                          2,902         4.1         2,959         4.2
Massachusetts                    2,537         3.6         2,464         3.5
Michigan                         2,492         3.5         2,073         2.9
Virginia                         2,446         3.5         2,526         3.6
Others                          37,016        52.4        38,067        54.0
Total                         $ 70,619       100.0      $ 70,522       100.0

The following table provides supplemental disclosures for our U.S. primary mortgage insurance business related to insured loans and loss metrics for the years ended December 31, 2021 and 2020:

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(U.S. Dollars in thousands, except loan and claim                 Year Ended December 31,
count)                                                       2021                          2020
Rollforward of insured loans in default:
Beginning delinquent number of loans                           52,234                         20,163
New notices                                                    35,554                        102,324
Cures                                                         (59,372)                       (68,691)
Paid claims                                                      (771)                        (1,562)

Ending delinquent number of loans (1)                          27,645                         52,234

Ending number of policies in force (1)                      1,171,835                      1,245,771

Delinquency rate (1)                                             2.36   %                       4.19  %

Losses:
Number of claims paid                                             771                          1,562
Total paid claims                                    $         30,979               $         64,903
Average per claim                                    $           40.2               $           41.6
Severity (2)                                                     80.8   %                       92.4  %
Average reserve per default (in thousands) (1)       $           26.7               $           12.6


(1) Includes first lien primary and pool policies. (2) 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 8 to 1 at December 31, 2021, compared to 9.3 to 1 at
December 31, 2020.

Ceded Reinsurance



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 facultative reinsurance agreements. Our reinsurance
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.
Estimating reinsurance recoverables can be more subjective than estimating the
underlying reserves for losses and loss adjustment expenses as discussed under
the heading "Loss Reserves" above. In particular, reinsurance recoverables may
be affected by deemed inuring reinsurance, industry losses reported by various
statistical reporting services, and other factors. 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."

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 29.3% of gross premiums written for 2021, compared to 26.3%
for 2020. 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 be
responsible 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.

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 interest entities 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,
2021, our estimated off-balance sheet maximum exposure to loss from such
entities was $42.2 million. See   note 12, "Variable Interest Entity and
Noncontrolling Interests,"   to


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our consolidated financial statements in Item 8 for additional information.

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, similar business and available industry information. Unearned premium
reserves represent the portion of premiums written that relates to the unexpired
terms of in-force insurance policies.

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 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.



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 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, as described above in
"-Loss Reserves."

The amount of reinsurance premium estimates included in premiums receivable and
the amount of related acquisition expenses by type of business were as follows
at December 31, 2021:

                                                                December 31, 2021
                                                                                                   Net
                                       Gross Amount            Acquisition Expenses               Amount
Other specialty                     $        421,504          $           (118,878)         $       302,626
Property excluding property
catastrophe                                  288,622                       (88,745)                 199,877
Casualty                                     275,889                       (76,342)                 199,547
Marine and aviation                          149,161                       (34,338)                 114,823
Property catastrophe                          25,097                        (2,723)                  22,374
Other                                         48,733                        (4,142)                  44,591
Total                               $      1,209,006          $           (325,168)         $       883,838


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.

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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 inception of the reinsurance transaction, with a
corresponding charge or credit to income.

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
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. 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 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


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rates of defaulted loans moving to claim, as well as recent trends in the rate
at which loans are prepaid, and incorporates anticipated interest income.
Evaluating the expected 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 2021 or 2020.

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, 2021 by valuation hierarchy.

Reclassifications

We have reclassified the presentation of certain prior year information to conform to the current presentation, including the correct presentation of 'income (loss) from operating affiliates' on its consolidated statements of income for all periods presented to reclass such item from 'other income (loss)'. We also changed the presentation of 'investment in operating affiliates' on our consolidated balance sheet for all periods presented to reclass such item from 'other assets'. 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-(s), "Recent Accounting Pronouncements"

to

our consolidated financial statements in Item 8 for disclosures concerning our companies significant accounting policies and recent accounting pronouncements.



FINANCIAL CONDITION


Investable Assets

At December 31, 2021, total investable assets held by Arch were $27.4 billion.

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. At December 31,
2021, approximately $18.5 billion, or 67%, of total investable assets held by
Arch were internally managed, compared to $19.2 billion, or 71%, at December 31,
2020.



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The following table summarizes the fair value of investable assets held by Arch:

                                                              Estimated                   % of
Investable assets (1):                                        Fair Value                 Total
December 31, 2021
Fixed maturities (2)                                      $    18,414,807                    67.1
Short-term investments (2)                                      1,832,522                     6.7
Cash                                                              858,668                     3.1
Equity securities (2)                                           1,830,663                     6.7
Other investments (2)                                           1,432,553                     5.2

Investments accounted for using the equity method               3,077,611                    11.2

Securities transactions entered into but not settled at the balance sheet date

                                             (4,671)                      -
Total investable assets held by Arch                      $    27,442,153                   100.0

Average effective duration (in years)                                2.70
Average S&P/Moody's credit ratings (4)                               AA-/Aa3
Embedded book yield (5)                                              1.63  %

December 31, 2020
Fixed maturities (2)                                      $    18,771,296                    69.9
Short-term investments (2)                                      2,063,240                     7.7
Cash                                                              694,997                     2.6
Equity securities (2)                                           1,436,104                     5.3
Other investments (2)                                           1,480,347                     5.5
Other investable assets (3)                                       500,000                     1.9
Investments accounted for using the equity method               2,047,889                     7.6

Securities transactions entered into but not settled at the balance sheet date

                                           (137,578)                   (0.5)
Total investable assets held by Arch                      $    26,856,295                   100.0

Average effective duration (in years)                                3.01
Average S&P/Moody's credit ratings (4)                                AA/Aa2
Embedded book yield (5)                                              1.56  %


(1)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.
(2)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.

The following table summarizes our fixed maturities and fixed maturities pledged under securities lending agreements ("Fixed Maturities") by type:



                                            Estimated          % of
                                            Fair Value        Total
December 31, 2021
Corporate bonds                           $  6,941,879        37.7
Mortgage backed securities                     408,477         2.2
Municipal bonds                                404,666         2.2

Commercial mortgage backed securities 1,046,484 5.7 U.S. government and government agencies 4,772,764 25.9 Non-U.S. government securities

               2,144,079        11.6
Asset backed securities                      2,696,458        14.6
Total                                     $ 18,414,807       100.0

December 31, 2020
Corporate bonds                           $  8,039,745        42.8
Mortgage backed securities                     616,619         3.3
Municipal bonds                                492,734         2.6

Commercial mortgage backed securities 390,990 2.1 U.S. government and government agencies 5,354,863 28.5 Non-U.S. government securities

               2,310,157        12.3
Asset backed securities                      1,566,188         8.3
Total                                     $ 18,771,296       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.



                                                                        % of
                                           Estimated Fair Value        Total
December 31, 2021
U.S. government and gov't agencies (1)    $           5,063,191        27.5
AAA                                                   3,783,386        20.5
AA                                                    2,459,413        13.4
A                                                     2,943,594        16.0
BBB                                                   2,936,398        15.9
BB                                                      501,588         2.7
B                                                       371,747         2.0
Lower than B                                             43,756         0.2
Not rated                                               311,734         1.7
Total                                     $          18,414,807       100.0

December 31, 2020
U.S. government and gov't agencies (1)    $           5,963,758        31.8
AAA                                                   3,117,046        16.6
AA                                                    2,063,738        11.0
A                                                     3,760,280        20.0
BBB                                                   2,699,201        14.4
BB                                                      574,189         3.1
B                                                       268,095         1.4
Lower than B                                             54,795         0.3
Not rated                                               270,194         1.4
Total                                     $          18,771,296       100.0

(1)Includes U.S. government-sponsored agency mortgage backed securities and agency commercial mortgage backed securities.

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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:

                                                                                       % of
                                                                     Gross         Total Gross
                                                                   Unrealized       Unrealized
Severity of gross unrealized losses:    Estimated Fair Value         Losses           Losses
December 31, 2021
0-10%                                  $          12,231,146      $ (166,867)         97.6
10-20%                                                16,884          (2,412)          1.4
20-30%                                                 2,593            (759)          0.4
Greater than 30%                                         684            (916)          0.5
Total                                  $          12,251,307      $ (170,954)        100.0

December 31, 2020
0-10%                                  $           3,583,981      $  (55,542)         79.4
10-20%                                                95,495         (12,183)         17.4
20-30%                                                 1,061            (406)          0.6
Greater than 30%                                       1,249          (1,785)          2.6
Total                                  $           3,681,786      $  (69,916)        100.0


The following table summarizes our top ten exposures to fixed income corporate
issuers by fair value at December 31, 2021, excluding guaranteed amounts and
covered bonds:

                                                               Credit
                                 Estimated Fair Value        Rating (1)
Bank of America Corporation     $             406,807               A-/A2
JPMorgan Chase & Co.                          338,647               A-/A2
The Goldman Sachs Group, Inc.                 237,628             BBB+/A2
Citigroup Inc.                                220,915             BBB+/A3
Morgan Stanley                                198,106             BBB+/A1
Wells Fargo & Company                         183,261             BBB+/A1
Blackstone Inc.                               128,138             NA/Baa3
Dai-ichi Life Holdings, Inc.                  109,924              AA-/A1
Apple Inc.                                    109,008             AA+/Aaa
Westpac Banking Corporation                   107,678             AA-/Aa3
Total                           $           2,040,112

(1)Average credit ratings as assigned by S&P and Moody's, respectively.

The following table provides information on our structured securities, which include residential mortgage-backed securities (RMBS), commercial mortgage-backed securities (CMBS) and asset backed securities ("ABS"):



                   Agencies       Investment Grade       Below Investment Grade          Total
Dec. 31, 2021
RMBS              $ 268,229      $         129,296      $                10,952      $   408,477
CMBS                 22,198                926,302                       97,984        1,046,484
ABS                       -              2,543,907                      152,551        2,696,458
Total             $ 290,427      $       3,599,505      $               261,487      $ 4,151,419

Dec. 31, 2020
RMBS              $ 584,499      $           4,102      $                28,018      $   616,619
CMBS                 24,396                342,491                       24,103          390,990
ABS                       -              1,403,137                      163,051        1,566,188
Total             $ 608,895      $       1,749,730      $               215,172      $ 2,573,797


The following table summarizes our equity securities, which include investments
in exchange traded funds:

                                 December 31,
                            2021             2020
Equities (1)            $   883,722      $   676,437
Exchange traded funds
Fixed income (2)            455,467          341,139
Equity and other (3)        491,474          418,528
Total                   $ 1,830,663      $ 1,436,104


(1)Primarily in consumer non-cyclical, technology, communications, consumer
cyclical and financial at December 31, 2021.
(2)Primarily in corporate and MBS at December 31, 2021.
(3)Primarily in large cap stocks, foreign equities, technology and utilities at
December 31, 2021.

The following table summarizes our other investments and other investable
assets:

                                                        December 31,
                                                   2021             2020
              Lending                              536,345          572,636
              Term loan investments                484,950          380,193
              Investment grade fixed income        147,810          138,646
              Private equity                        91,126           48,750
              Energy                                81,692           65,813
              Credit related funds                  70,278           90,780
              Infrastructure                        20,352          165,516
              Real estate                                -           18,013
              Total fair value option            1,432,553        1,480,347

              Other investable assets                    -          500,000

              Total other investments          $ 1,432,553      $ 1,980,347



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The following table summarizes our investments accounted for using the equity
method, by strategy:

                                 December 31,
                            2021             2020
Credit related funds    $ 1,022,334      $   740,060
Private equity              436,042          235,289
Real estate                 396,395          258,518
Equities                    395,090          343,058
Lending                     376,649          179,629
Infrastructure              230,070          175,882
Energy                      119,141          115,453
Fixed income                101,890                -
Total                   $ 3,077,611      $ 2,047,889


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, 2021 and 2020
segregated by level in the fair value hierarchy.

Reinsurance Recoverables



The following table details our reinsurance recoverables at December 31, 2021:

                                                              A.M. Best
                                            % of Total        Rating (1)
Somers Re                                      6.7                A-
Fortitude Reinsurance Company Ltd.             2.4                A
Hannover Rück SE                               1.8                A+
Swiss Reinsurance America Corporation          1.7                A+
Partner Reinsurance Company of the U.S.        1.4                A+
Everest Reinsurance Company                    1.4                A+
Munich Reinsurance America, Inc.               1.3                A+
XL Re                                          1.2                A+
 Lloyd's syndicates (2)                        1.1                A
Berkley Insurance Company                      1.0                A+

All other -- "A-" or better                   49.7
All other -- rated carriers                    0.1
All other -- not rated (3)                    30.2
Total                                        100.0


(1)  The financial strength ratings are as of February 4, 2022 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 91% 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.

Reserves for Losses and Loss Adjustment Expenses



We establish 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-Summary of Critical Accounting Estimates-Loss Reserves" and see Item
1 "Business-Reserves" for further details.


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Shareholders' Equity and Book Value per Share



Total shareholders' equity available to Arch was $13.5 billion at December 31,
2021, compared to $13.1 billion at December 31, 2020. The increase in 2021
primarily reflected the impact of underwriting returns and income from operating
affiliates, partially offset by the impact of a higher level of catastrophic
activity on underwriting returns.

The following table presents the calculation of book value per share:



                                                                      December 31,
(U.S. dollars in thousands, except share data)                2021                     2020
Total shareholders' equity available to Arch           $    13,545,896          $    13,105,886
Less preferred shareholders' equity                            830,000                  780,000

Common shareholders' equity available to Arch $ 12,715,896

     $    12,325,886
Common shares and common share equivalents
outstanding, net of treasury shares (1)                       378,923,894              406,720,642
Book value per share                                   $         33.56          $         30.31


(1)  Excludes the effects of 17,083,160 and 17,839,333 stock options and 729,636
and 1,153,784 restricted stock and performance units outstanding at December 31,
2021 and 2020, respectively.

LIQUIDITY




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. In
2021, Arch Capital completed a $500.0 million underwritten public offering of
20.0 million depositary shares, each of which represents a 1/1,000th interest in
a share of its 4.55% Non-Cumulative Series G Preferred Shares. See   note

2 1 , "Share holder ' s Equity ."

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 2021, Arch Capital received dividends of $1.8 billion from Arch Reinsurance
Ltd. ("Arch Re Bermuda"), our Bermuda-based reinsurer and insurer which can pay
approximately $3.8 billion to Arch Capital in 2022 without providing an
affidavit to the Bermuda Monetary Authority ("BMA"). In 2021, Arch-U.S. received
$200.0 million of dividends from Arch U.S. MI Holdings Inc., a subsidiary of
Arch-U.S., which received a total of $300.0 million of ordinary and
extraordinary dividends, $140 million from United Guaranty

Residential Insurance Company ("UGRIC") and $160 million from Arch Mortgage Insurance Company ("AMIC").



Our insurance and reinsurance operations provide liquidity in that premiums are
received 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 liquidity
include cash flows from operations, financing arrangements or routine sales of
investments.

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.


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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 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 capitalization levels of our insurance and reinsurance subsidiaries. We believe that Arch Capital has sufficient cash resources and available dividend capacity to service its indebtedness and other current outstanding obligations.

Restricted Assets



Our insurance, reinsurance and mortgage 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,
2021 and 2020, such amounts approximated $8.2 billion and $7.7 billion,
respectively.

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 operating affiliates
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
$3.0 billion at December 31, 2021 and are callable by our investment managers.
The timing of the funding of investment commitments is uncertain and may require
us to access cash on short notice.

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,


                                                             2021           

2020


Total cash provided by (used for):
Operating activities                                  $     3,380,700          $    2,705,054
Investing activities                                       (1,870,885)             (3,301,816)
Financing activities                                       (1,243,613)                856,771
Effects of exchange rate changes on foreign currency
cash                                                          (30,524)                 17,822
Increase (decrease) in cash                           $       235,678          $      277,831

Cash provided by operating activities for 2021 was higher than in 2020, primarily reflected a higher level of premiums collected than in the 2020 period.



Cash used for investing activities for 2021 was lower than in 2020. Activity for
2021 period reflected cash used to invest in Coface and Somers, while the 2020
period reflected a higher level of securities purchased, and the investing of
proceeds from our issuance of the senior notes.

Cash used for financing activities for 2021 was higher than in 2020. Activity
for 2021 period, primarily reflected $485.8 million inflow from issuance of
preferred shares, $450.0 million related to redemption of our Series E preferred
shares and $1.2 billion of repurchases under our share repurchase program.
Activity for the 2020 period primarily reflected the


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issuance of $1.0 billion of our senior notes and $83.5 million of repurchases
under our share repurchase program.

Investments



At December 31, 2021, our investable assets were $27.4 billion. The primary
goals of our asset liability management process are to meet our 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.

CAPITAL RESOURCES

The following table provides an analysis of our capital structure:



(U.S. dollars in thousands, except                   December 31,
share data)                                     2021              2020

Senior notes                               $  2,724,394      $  2,723,423

Shareholders' equity available to Arch:
Series E non-cumulative preferred shares              -           450,000
Series F non-cumulative preferred shares        330,000           330,000
Series G non-cumulative preferred shares        500,000                 -
Common shareholders' equity                  12,715,896        12,325,886
Total                                      $ 13,545,896      $ 13,105,886

Total capital available to Arch            $ 16,270,290      $ 15,829,309

Debt to total capital (%)                          16.7              17.2
Preferred to total capital (%)                      5.1               4.9
Debt and preferred to total capital (%)            21.8              22.1


See note 19, "Debt and Financing Arrangement" and note 21,

" Shareholder ' s Equity " , to our consolidated financial statements in Item 8 for additional information on capital structure.

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, AMIC and UGRIC (together, "Arch MI U.S.") are 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, 2021 with a PMIER sufficiency ratio of 197%, compared to 173% at
December 31, 2020.

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


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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.

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.

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, guarantees or other financial
support contractual 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.

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, 2021, Arch Capital has
repurchased approximately 420.7 million common shares for an aggregate purchase
price of $5.3 billion. At December 31, 2021, $1.2 billion 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, 2022. The timing and amount of the repurchase transactions under
this program will depend on a variety of factors, including market conditions,
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.

GUARANTOR INFORMATION




The below table provides a description of our senior notes payable at
December 31, 2021:

                        Interest       Principal        Carrying
    Issuer/Due          (Fixed)         Amount           Amount
Arch Capital:
May 1, 2034              7.350  %    $   300,000      $   297,488
June 30, 2050            3.635  %        1,000,000          988,720
Arch-U.S.:
Nov. 1, 2043 (1)         5.144  %          500,000          495,063
Arch Finance:
Dec. 15, 2026 (1)        4.011  %          500,000          497,633
Dec. 15, 2046 (1)        5.031  %          450,000          445,490
Total                                $ 2,750,000      $ 2,724,394

(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 the
earnings of 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.

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 2021 and 2020, we made interest payments of $131.0 million and $110.5
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, 2021                          December 31, 2020
                                                     Arch Capital           Arch-U.S.           Arch Capital           Arch-U.S.
Assets
Total investments                                  $       2,038          $  137,124          $         172          $  396,547
Cash                                                      16,317              18,392                 18,932              11,368
Investment in operating affiliates                         6,877                                      7,731                   -
Due from subsidiaries and affiliates                           -              26,000                      -             201,515

Other assets                                               9,615              37,040                 10,659              34,405
Total assets                                       $      34,847          $  218,556          $      37,494          $  643,835

Liabilities

Senior notes                                           1,286,208             495,063              1,285,867             494,944

Due to subsidiaries and affiliates                             -             521,839                      -             586,805
Other liabilities                                         24,767              47,410                 23,270              41,876
Total liabilities                                      1,310,975           1,064,312              1,309,137           1,123,625

Non-cumulative preferred shares                    $     830,000          $        -          $     780,000          $        -


                                                                     Year Ended                         Year Ended
                                                                 December 31, 2021                   December 31, 2020
                                                                       Arch Capital          Arch-U.S.           Arch Capital          Arch-U.S.

Revenues

Net investment income                                                $       1,524          $  11,596          $          53          $  18,084
Net realized gains (losses)                                                      -             72,437                 (2,110)            26,096

Equity in net income (loss) of investments accounted for
using the equity method                                                          -             18,149                      -              2,507

Total revenues                                                               1,524            102,182                 (2,057)            46,687

Expenses

Corporate expenses                                                          71,818              5,875                 65,566              7,227

Interest expense                                                            58,741             47,292                 40,445             47,566
Net foreign exchange (gains) losses                                              7                  -                      3                  -
Total expenses                                                             130,566             53,167                106,014             54,793

Income (loss) before income taxes                                         (129,042)            49,015               (108,071)            (8,106)
Income tax (expense) benefit                                                     -            (12,513)                     -              2,689
Income (loss) from operating affiliates                                       (590)                 -                   (437)                 -

Net income available to Arch                                              (129,632)            36,502               (108,508)            (5,417)
Preferred dividends                                                        (48,343)                 -                (41,612)                 -
Loss on redemption of preferred shares                                     (15,101)                 -                      -                  -
Net income available to Arch common shareholders                     $    (193,076)         $  36,502          $    (150,120)         $  (5,417)



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CONTRACTUAL OBLIGATIONS AND COMMITMENTS

Contractual Obligations

The following table provides an analysis of our contractual commitments at December 31, 2021:


                                                                                       Payment due by period
                                                  Total                 2022              2023 and 2024           2025 and 2026           

Thereafter


Operating activities
Estimated gross payments for losses and loss
adjustment expenses (1)                      $ 17,757,156          $ 

4,893,981 $ 5,830,065 $ 2,711,728 $ 4,321,382 Deposit accounting liabilities (2)

                 11,838                6,167                   2,043                     382                3,246
Contractholder payables (3)                     1,832,127              584,992                 632,551                 252,498              

362,086


Operating lease obligations                       148,598               32,064                  48,837                  31,275               36,422
Purchase obligations                              114,143               58,191                  50,991                   4,961                    -
Investing activities
Unfunded investment commitments (4)             2,973,492            2,973,492                       -                       -                   

-

Financing activities



Senior notes (including interest payments)      5,290,334              126,815                 253,629                 251,958            

4,657,932



Total contractual obligations and
commitments                                  $ 28,127,688          $ 8,675,702          $    6,818,116          $    3,252,802          $ 9,381,068


(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.

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 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, 2021.

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.

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RATINGS


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 internationally recognized statistical
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. 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.

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.

The ratings issued on our companies by these agencies are announced publicly and
are available directly from the agencies. Our website www.archgroup.com
(Investor Relations-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




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.

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 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. 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 doing so.
Moreover, irrespective of the clarity and 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.

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.
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


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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, 2022, our modeled peak
zone catastrophe exposure is a windstorm affecting the Northeast U.S., with a
net probable maximum pre-tax loss of $748 million, followed by windstorms
affecting Florida Tri-County and the Gulf of Mexico with net probable maximum
pre-tax losses of $727 million and $649 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, 2022, our modeled peak zone earthquake exposure (San Francisco area
earthquake) represented approximately 78% 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, income levels and
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.

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, 2022, our modeled RDS loss was 6.3% 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 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

"-Summary of Critical Accounting Estimates

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-Ceded Reinsurance" for a discussion of our catastrophe reinsurance programs.

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, 2021. 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, 2021 presents hypothetical
losses in cash flows, earnings and fair values of market sensitive instruments
which were held by us on December 31, 2021 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 materially from
these projected results due to actual 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.

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

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 securities and investment funds 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, 2021 and 2020:



                                             Interest Rate Shift in Basis 

Points


(U.S. dollars in billions)       -100          -50            -           +50           +100
Dec. 31, 2021
Total fair value              $ 25.79       $ 25.44       $ 25.21      $ 24.75       $ 24.43
Change from base                  2.3  %        0.9  %                    (1.8) %       (3.1) %
Change in unrealized value    $  0.58       $  0.23                    $ (0.45)      $ (0.78)
Dec. 31, 2020
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    $  0.75       $  0.38                    $ 

(0.38) $ (0.75)




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, 2021 and 2020:



                                              Credit Spread Shift in Percentage
(U.S. dollars in billions)       -100          -50            -           +50           +100
Dec. 31, 2021
Total fair value              $ 26.17       $ 25.69       $ 25.21      $ 24.72       $ 24.24
Change from base                  3.8  %        1.9  %                    (1.9) %       (3.8) %
Change in unrealized value    $  0.97       $  0.48                    $ (0.48)      $ (0.97)
Dec. 31, 2020
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    $  0.48       $  0.25                    $ (0.25)      $ (0.48)



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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, 2021, our portfolio's VaR was
estimated to be 4.83%, compared to an estimated 4.30% at December 31, 2020.

Equity Securities. At December 31, 2021 and 2020, the fair value of our
investments in equity securities (excluding securities included in Fixed Income
Securities above) totaled $1.4 billion and $1.1 billion, 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
$137.5 million and $109.5 million at December 31, 2021 and 2020, respectively,
and would have decreased book value per share by approximately $0.36 and $0.27,
respectively. An immediate hypothetical 10% increase in the value of each
position would increase the fair value of such investments by approximately
$137.5 million and $109.5 million at December 31, 2021 and 2020, respectively,
and would have increased book value per share by approximately $0.36 and $0.27,
respectively.

Investment-Related Derivatives. At December 31, 2021, the notional value of all
derivative instruments (excluding foreign currency forward contracts which are
included in the foreign currency exchange risk analysis below) was $6.4 billion,
compared to $8.6 billion at December 31, 2020. If the underlying exposure of
each investment-related derivative held at December 31, 2021 depreciated by 100
basis points, it would have resulted in a reduction in net income of
approximately $63.8 million, and a decrease in book value per share of $0.17,
compared to $85.7 million and $0.21, respectively, on investment-related
derivatives held at December 31, 2020. If the underlying exposure of each
investment-related derivative held at December 31, 2021 appreciated by 100 basis
points, it would have resulted in an increase in net income of approximately
$63.8 million, and an increase in book value per share of $0.17, compared to
$85.7 million and $0.21, respectively, on investment-related derivatives held at
December 31, 2020. 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.

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                                      December 31,              December 31,
per share data)                                                             2021                      2020

Net assets (liabilities), denominated in foreign currencies, excluding shareholders' equity and derivatives

$       (825,371)         $       (309,968)
Shareholders' equity denominated in foreign currencies (1)                  1,095,706                   695,355
Net foreign currency forward contracts outstanding (2)                         15,151                 1,108,161
Net exposures denominated in foreign currencies                      $      

285,486 $ 1,493,548



Pre-tax impact of a hypothetical 10% appreciation of the U.S. Dollar
against foreign currencies:
Shareholders' equity                                                 $        (28,549)         $       (149,355)
Book value per share                                                 $          (0.08)         $          (0.37)

Pre-tax impact of a hypothetical 10% decline of the U.S. Dollar
against foreign currencies:
Shareholders' equity                                                 $         28,549          $        149,355
Book value per share                                                 $           0.08          $           0.37


(1)  Represents capital contributions held in the foreign currencies of our
operating units.
(2)  Represents the net notional value of outstanding foreign currency forward
contracts.



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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 the Company's exposure 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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