ARCH CAPITAL GROUP LTD. - 10-Q - MANAGEMENT'S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND RESULTS OF OPERATIONS - Insurance News | InsuranceNewsNet

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November 3, 2022 Newswires
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ARCH CAPITAL GROUP LTD. – 10-Q – MANAGEMENT'S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND RESULTS OF OPERATIONS

Edgar Glimpses
The following is a discussion and analysis of our financial condition and
results of operations. This should be read in conjunction with our consolidated
financial statements included in Item 1 of this report and also our Management's
Discussion and Analysis of Financial Condition and Results of Operations
contained in our Annual Report on Form 10-K for the year ended December 31, 2021
("2021 Form 10-K"). In addition, readers should review "Risk Factors" set forth
in Item 1A of Part I of our 2021 Form 10-K and   "ITEM 1A-Risk Factors"   of
this Form 10-Q. Tabular amounts are in U.S. Dollars in thousands, except share
amounts, unless otherwise noted.

Arch Capital Group Ltd. ("Arch Capital" and, together with its subsidiaries,
"Arch", "we", "our" or "us") is a publicly listed Bermuda exempted company with
approximately $14.5 billion in capital at September 30, 2022 and, through
operations in Bermuda, the United States, Europe, Canada, Australia and Hong
Kong, writes insurance, reinsurance and mortgage insurance on a worldwide basis.

                                                                                                      Page No.

Current Outlook                                                                                          42
Financial Measures                                                                                       42
Comments on Non-GAAP Measures                                                                            44
Results of Operations                                                                                    46
              Insurance Segment                                                                          46
              Reinsurance Segment                                                                        49
              Mortgage Segment                                                                           51
              Corporate Segment                                                                          54
Critical Accounting Policies, Estimates and Recent Accounting Pronouncements                             55
Financial Condition                                                                                      55
Liquidity                                                                                                61
Capital Resources and Other                                                                              61


ARCH CAPITAL     41      2022 THIRD QUARTER FORM 10-Q


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CURRENT OUTLOOK



As we approach the end of 2022, we are cautiously optimistic regarding the
opportunities ahead of us in the fourth quarter and into 2023. Our objective
remains the same, to deliver long term value for our shareholders. We are
committed to agile cycle management predicated by a focus on risk-adjusted
returns, and this commitment has enabled us to accelerate our growth through the
deployment of meaningful capacity to our clients. We continue to execute our
cycle management strategy by actively allocating capital to the sectors where
rates allow for returns that are higher than our cost of capital.

Inflation continues to be a focus for our industry. We proactively analyze
available data and we incorporate emerging trends into our pricing and
reserving. We believe that this discipline, coupled with increases in future
investment returns and prudent reserving, helps us somewhat mitigate inflation's
impact.

Hurricane Ian, alongside a fair amount of other catastrophic activity in the
third quarter, served as a stark reminder of the importance of insurance
capacity. The catastrophic activity in the third quarter has significantly
increased pressure on property catastrophe markets, which could have a ripple
effect across all property and casualty lines. As a result, we continue to show
improved underwriting margins, 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.

Rate improvements have enabled us to continue to expand writings in our property
casualty segments. Rate increases remain above the long-term loss cost trends
and have spread to more lines than last year. In insurance, underwriting
conditions remain opportunistic as pricing discipline, terms and conditions, and
limits management are stable across most lines. This stability, combined with
the uncertainties in the insurance market, should keep the market disciplined
and sustain rate increases. Our U.S. operations benefited from growth in
professional liability, including cyber, as well as travel where we believe
relative returns are attractive. Cyber insurance has become increasingly
important to our insureds globally, and we have substantially increased our
focus because we believe that today's cyber market has changed for the better.
Additionally, insurance terms and conditions have sufficiently tightened,
retentions have increased and rates have reached a level where we have an
opportunity to earn an appropriate return for the assumption of risk.

In reinsurance, the emphasis remains on quota share treaties over excess of loss
reinsurance. This strategy allows us to participate in the rate increases on
primary insurance while improving the balance between risk and return. We
remained disciplined in property catastrophe exposure and we will deploy more
capital to the line if expected returns improve meaningfully. Excellent market
conditions and the likelihood of capacity constraints will likely create an
eventful January 1 renewal period, and our teams are actively planning to meet
the demands of our clients.

In mortgage, we continue to be thoughtful in how we manage our portfolio and,
because of our diversified model, we have the ability to take a measured view of
the business as just one component of our diversified enterprise. Our mortgage
business continues to deliver consistent underwriting results, once again
demonstrating its sustainable earnings model. Although higher interest rates
affected new loan origination volume, the persistency rate of our portfolio
improved and U.S. primary mortgage insurance in force grew to nearly $295
billion. The credit quality of homebuyers remains excellent and we believe our
portfolio is well positioned for a variety of economic scenarios.

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, or ("GSEs"). In addition, we have
entered into aggregate excess of loss mortgage reinsurance agreements with
various special purpose reinsurance companies domiciled in Bermuda and have
issued mortgage insurance linked notes, increasing our protection for mortgage
tail risk. The Bellemeade structures provided approximately $4.3 billion of
aggregate reinsurance coverage at September 30, 2022.

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 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 $29.69 at
September 30, 2022, compared to $31.37 at June 30, 2022 and $32.43 at

ARCH CAPITAL 42 2022 THIRD QUARTER FORM 10-Q

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September 30, 2021. The 5.4% decrease in book value per share for the 2022 third
quarter reflected negative total return on investments driven by rising interest
rates on fixed maturities, along with higher level of catastrophic loss
activity, primarily related to Hurricane Ian.

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 the average of beginning and ending common shareholders' equity
available to Arch during the period. After-tax operating income available to
Arch common shareholders, a non-GAAP financial measure as defined in Regulation
G, represents net income available to Arch common shareholders, excluding net
realized gains or losses (which includes changes in the allowance for credit
losses on financial assets and net impairment losses recognized in earnings)
equity in net income or loss of investment funds accounted for using the equity
method, net foreign exchange gains or losses, transaction costs and other, loss
on redemption of preferred shares and income taxes. Management uses Operating
ROAE as a key measure of the return generated to common shareholders. See
"Comment on Non-GAAP Financial Measures."

Our annualized net income return on average common equity was 0.2% for the 2022
third quarter, compared to 12.3% for the 2021 third quarter, and 6.6% for the
nine months ended September 30, 2022, compared to 15.9% for the 2021 period. Our
Operating ROAE was 3.8% for the 2022 third quarter, compared to 9.3% for the
2021 third quarter, and 11.6% for the nine months ended September 30, 2022,
compared to 10.1% for the 2021 period. The 2022 periods reflected increased
levels of catastrophic activity, while the 2021 periods reflected higher income
from operating affiliates.

Total Return on Investments

Total return on investments includes investment income, equity in net income or
loss of investment funds accounted for using the equity method, net realized
gains and losses (excluding changes in the allowance for credit losses on
non-investment related financial assets) 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 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. The following table summarizes our total return compared to the
benchmark return against which we measured our portfolio during the periods. See
"Comment on Non-GAAP Financial Measures."

                                          Arch         Benchmark
                                        Portfolio       Return

Pre-tax total return (before investment expenses):
2022 Third Quarter

                        (3.01) %       (4.01) %
2021 Third Quarter                         0.01  %       (0.40) %

Nine Months Ended September 30, 2022 (8.83) % (12.78) %
Nine Months Ended September 30, 2021 1.50 % 0.87 %

Total return for the 2022 periods reflected rising interest rates on fixed
maturities and weak equity markets. We continue to maintain a relative short
duration on our portfolio of 2.84 years at September 30, 2022.


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 September 30, 2022, the benchmark return
index had an average credit quality of "Aa3" by Moody's Investors Service
("Moody's"), and an estimated duration of 3.15 years.


ARCH CAPITAL 43 2022 THIRD QUARTER FORM 10-Q

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The benchmark return index included weightings to the following indices:

                                                                   %
ICE BoAML 1-5 Year A - AAA U.S. Corporate Index                  13.00  %
ICE BoAML 5-10 Year A - AAA U.S. Corporate Index                 11.00
ICE BoAML 1-5 Year U.S. Treasury Index                           11.00
MSCI ACWI Net Total Return USD Index                              9.30
ICE BoAML 1-10 Year BBB U.S. Corporate Index                      5.00
JPM CLOIE Investment Grade                                        5.00
S&P/LSTA Leveraged Loan Total Return Index                       4.965
ICE BoAML U.S. Mortgage Backed Securities Index                   4.00
ICE BoAML AAA US Fixed Rate CMBS                                  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 Year U.S. Treasury Index                            3.25
ICE BoAML 5-10 Year U.S. Treasury Index                           3.00
ICE BoAML 1-10 Year U.S. Municipal Securities Index               3.00
Bloomberg Barclays ABS Aaa 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
ICE BofA CCC and Lower US High Yield Constrained Index            1.38
Bloomberg Barclays Global High Yield Index                        1.38

S&P DJ Global ex-US Select Real Estate Securities Net Index 0.825
FTSE Nareit All Mortgage Capped Index Total Return USD

           0.825
Bloomberg Barclays CMBS: Erisa Eligible Unhedged USD             0.825
ICE BoAML 15+ 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 (which
includes changes in the allowance for credit losses on financial assets and net
impairment losses recognized in earnings), equity in net income or loss of
investment funds accounted for using the equity method, net foreign exchange
gains or losses, transaction costs and other, loss on redemption of preferred
shares 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.


We believe that net realized gains or losses, equity in net income or loss of
investment funds accounted for using the equity method, net foreign exchange
gains or losses, transaction costs and other and loss on redemption of preferred
shares 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 investment funds 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 investment funds 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 the allowance for credit losses and net impairment losses
recognized in earnings on our 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 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
investments and the timing of the recognition of equity in net income or loss of
investment funds 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 some of
Arch's preferred shares 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 investment funds 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.

ARCH CAPITAL 44 2022 THIRD QUARTER FORM 10-Q

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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. The 'other' segment includes the results
of Somers through June 30, 2021. 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,"   of the notes
accompanying our consolidated financial statements, 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 through June 30,
2021, in accordance with Regulation G, is shown in   note 4, "Segment
Information"   to our consolidated financial statements.

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 intangibles and, accordingly,
investment income and other non-underwriting related items are not allocated to
each underwriting segment. The 'other' segment includes the results of Somers
through June 30, 2021.

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 Group
Holdings Ltd. Somers Group Holdings Ltd. is the parent of Somers Re Ltd., a
multi-line Bermuda reinsurance

company (together with Somers Group Holdings Ltd., "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 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
contemplated by the Merger Agreement and the related Greysbridge equity
financing closed on July 1, 2021. In connection therewith and effective July 1,
2021, Somers became wholly owned by Greysbridge, and Greysbridge became 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. See   note 11, "Variable
Interest Entities and Noncontrolling Interests"   and   note 4, "Segment
Information,"   to our consolidated financial statements for additional
information on Somers.

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 investment funds accounted for using the equity method, net realized
gains and losses (excluding changes in the allowance for credit losses on
non-investment related financial assets) 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, and compares the return generated by our investment portfolio
against benchmark returns during the periods.

ARCH CAPITAL 45 2022 THIRD QUARTER FORM 10-Q

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  Table of Contents
RESULTS OF OPERATIONS


The following table summarizes our consolidated financial data, including a
reconciliation of net income or loss available to Arch common shareholders to
after-tax operating income or loss available to Arch common shareholders.

                                         Three Months Ended                           Nine Months Ended
                                            September 30,                               September 30,
                                     2022                  2021                  2022                  2021
Net income available to Arch
common shareholders             $      6,917          $    388,751          $    586,693          $  1,480,324
Net realized (gains) losses          183,674                25,040               742,667              (247,949)

Equity in net (income) loss of
investment funds accounted for
using the equity method               18,861              (105,398)              (75,505)             (299,270)
Net foreign exchange (gains)
losses                               (90,537)              (36,078)             (182,189)              (39,522)
Transaction costs and other               76                 1,036                   734                   889
Loss on redemption of preferred
shares                                     -                15,101                     -                15,101
Income tax expense (benefit)
(1)                                  (13,019)                6,236               (37,933)               32,100
After-tax operating income
available to Arch common
shareholders                    $    105,972          $    294,688          

$ 1,034,467 $ 941,673


Beginning common shareholders'
equity                          $ 11,587,566          $ 12,706,072          $ 12,715,896          $ 12,325,886
Ending common shareholders'
equity                          $ 10,965,110          $ 12,557,526          $ 10,965,110          $ 12,557,526
Average common shareholders'
equity                          $ 11,276,338          $ 12,631,799          

$ 11,840,503 $ 12,441,706


Annualized net income return on
average common equity %                  0.2                  12.3                   6.6                  15.9
Annualized operating return on
average
common equity %                          3.8                   9.3                  11.6                  10.1


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


Segment Information

We classify our businesses into three underwriting segments - insurance,
reinsurance and mortgage - and two other 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, the Chief Financial Officer and Treasurer of
Arch Capital and the President and Chief Underwriting Officer of Arch Capital.
The chief operating decision makers do not assess performance, measure return on
equity or make resource allocation decisions on a line of business basis.
Management measures segment performance for our three underwriting segments
based on underwriting income or loss. We do not manage our assets by
underwriting segment, with the exception of goodwill and intangible assets, and,
accordingly, investment income is not allocated to each underwriting segment.

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:

Three Months Ended September 30,

                                                                                                                  %
                                                                2022                     2021                   Change
Gross premiums written                                  $      1,862,026           $    1,596,619                  16.6
Premiums ceded                                                  (493,267)                (442,806)
Net premiums written                                           1,368,759                1,153,813                  18.6
Change in unearned premiums                                     (181,851)                (215,143)
Net premiums earned                                            1,186,908                  938,670                  26.4

Losses and loss adjustment expenses                             (822,663)                (668,630)
Acquisition expenses                                            (232,469)                (152,467)
Other operating expenses                                        (165,499)                (138,931)
Underwriting income (loss)                              $        (33,723)          $      (21,358)                (57.9)

                                                                                                               % Point
Underwriting Ratios                                                                                             Change
Loss ratio                                                          69.3   %                 71.2  %               (1.9)
Acquisition expense ratio                                           19.6   %                 16.2  %                3.4
Other operating expense ratio                                       13.9   %                 14.8  %               (0.9)
Combined ratio                                                     102.8   %                102.2  %                0.6


ARCH CAPITAL     46      2022 THIRD QUARTER FORM 10-Q


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Nine Months Ended September 30,

                                                            2022                     2021                   % Change
Gross premiums written                               $     5,286,798           $    4,381,372                    20.7
Premiums ceded                                            (1,482,886)              (1,269,165)
Net premiums written                                       3,803,912                3,112,207                    22.2
Change in unearned premiums                                 (488,164)                (488,636)
Net premiums earned                                        3,315,748                2,623,571                    26.4

Losses and loss adjustment expenses                       (2,053,161)              (1,750,257)
Acquisition expenses                                        (641,807)                (417,541)
Other operating expenses                                    (493,412)                (409,386)
Underwriting income (loss)                           $       127,368           $       46,387                   174.6

                                                                                                             % Point
Underwriting Ratios                                                                                          Change
Loss ratio                                                      61.9   %                 66.7  %                 (4.8)
Acquisition expense ratio                                       19.4   %                 15.9  %                  3.5
Other operating expense ratio                                   14.9   %                 15.6  %                 (0.7)
Combined ratio                                                  96.2   %                 98.2  %                 (2.0)

The insurance segment consists of our insurance underwriting units which offer
specialty product lines on a worldwide basis. Product lines include:


Construction and national accounts: primary and excess casualty coverages to
middle and large accounts in the construction industry and a wide range of
products for middle and large national accounts, specializing in loss sensitive
primary casualty insurance programs (including large deductible, self-insured
retention and retrospectively rated programs).

Excess and surplus casualty: primary and excess casualty insurance coverages,
including middle market energy business, and contract binding, which primarily
provides casualty coverage through a network of appointed agents to small and
medium risks.

Lenders products: collateral protection, debt cancellation and service contract
reimbursement products to banks, credit unions, automotive dealerships and
original equipment manufacturers and other specialty programs that pertain to
automotive lending and leasing.

Professional lines: directors' and officers' liability, errors and omissions
liability, employment practices liability, fiduciary liability, crime,
professional indemnity and other financial related coverages for corporate,
private equity, venture capital, real estate investment trust, limited
partnership, financial institution and not-for-profit clients of all sizes,
cyber insurance, and medical professional and general liability insurance
coverages for the healthcare industry. The business is predominately written on
a claims-made basis.

Programs: primarily package policies, underwriting workers' compensation and
umbrella liability business in support of desirable package programs, targeting
program managers with unique expertise and niche products offering general

liability, commercial automobile, inland marine and property business with
minimal catastrophe exposure.

Property, energy, marine and aviation: primary and excess general property
insurance coverages, including catastrophe-exposed property coverage, for
commercial clients. Coverages for marine include hull, war, specie and
liability. Aviation and standalone terrorism are also offered.


Travel, accident and health: specialty travel and accident and related insurance
products for individual, group travelers, travel agents and suppliers, as well
as accident and health, which provides accident, disability and medical plan
insurance coverages for employer groups, medical plan members, students and
other participant groups.

Other: includes alternative market risks (including captive insurance programs),
excess workers' compensation and employer's liability insurance coverages for
qualified self-insured groups, associations and trusts, and contract and
commercial surety coverages, including contract bonds (payment and performance
bonds) primarily for medium and large contractors and commercial surety bonds
for Fortune 1,000 companies and smaller transaction business programs.

Premiums Written.


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

                                                                    Three Months Ended September 30,
                                                          2022                                             2021
                                              Amount                     %                    Amount                    %
Professional lines                     $         412,173                   30.1          $      310,185                   26.9
Property, energy, marine and aviation            241,357                   17.6                 205,021                   17.8
Programs                                         189,263                   13.8                 196,048                   17.0
Excess and surplus casualty                      110,917                    8.1                  98,320                    8.5
Travel, accident and health                      107,434                    7.8                  62,837                    5.4
Construction and national accounts                98,381                    7.2                 102,294                    8.9
Lenders products                                  41,889                    3.1                  38,905                    3.4
Other                                            167,345                   12.2                 140,203                   12.2
Total                                  $       1,368,759                  100.0          $    1,153,813                  100.0


2022 Third Quarter versus 2021 Period. Gross premiums written by the insurance
segment in the 2022 third quarter were 16.6% higher than in the 2021 third
quarter, while net premiums written were 18.6% higher. The higher level of net
premiums written reflected increases in most lines of business, due in part to
rate increases, new business opportunities and growth in existing accounts.

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                                                                    Nine Months Ended September 30,
                                                          2022                                             2021
                                              Amount                     %                    Amount                    %
Professional lines                     $       1,109,416                   29.2          $      803,392                   25.8
Property, energy, marine and aviation            687,742                   18.1                 564,462                   18.1
Programs                                         482,003                   12.7                 503,822                   16.2
Excess and surplus casualty                      331,715                    8.7                 258,259                    8.3
Travel, accident and health                      378,736                   10.0                 226,214                    7.3
Construction and national accounts               334,720                    8.8                 333,484                   10.7
Lenders products                                 103,163                    2.7                 114,151                    3.7
Other                                            376,417                    9.9                 308,423                    9.9
Total                                  $       3,803,912                  100.0          $    3,112,207                  100.0


Nine Months Ended September 30, 2022 versus 2021 period. Gross premiums written
by the insurance segment for the nine months ended September 30, 2022 were 20.7%
higher than in the 2021 period, while net premiums written were 22.2% higher
than in the 2021 period. The increase in net premiums written reflected growth
in professional lines and in property, primarily due to rate increases, new
business opportunities and growth in existing accounts, and in travel, primarily
due to new business 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:

                                                                    Three Months Ended September 30,
                                                           2022                                             2021
                                              Amount                      %                    Amount                    %
Professional lines                     $          341,833                   28.8          $      249,007                   26.5
Property, energy, marine and aviation             202,483                   17.1                 178,167                   19.0
Programs                                          150,453                   12.7                 137,299                   14.6
Excess and surplus casualty                       100,175                    8.4                  84,048                    9.0
Travel, accident and health                       133,445                   11.2                  56,102                    6.0
Construction and national accounts                109,905                    9.3                 104,261                   11.1
Lenders products                                   33,253                    2.8                  33,030                    3.5
Other                                             115,361                    9.7                  96,756                   10.3
Total                                  $        1,186,908                  100.0          $      938,670                  100.0


                                                                    Nine Months Ended September 30,
                                                          2022                                             2021
                                              Amount                     %                    Amount                    %
Professional lines                     $         945,761                   28.5          $      662,776                   25.3
Property, energy, marine and aviation            557,481                   16.8                 488,326                   18.6
Programs                                         438,943                   13.2                 369,113                   14.1
Excess and surplus casualty                      289,305                    8.7                 232,314                    8.9
Travel, accident and health                      368,260                   11.1                 168,378                    6.4
Construction and national accounts               306,204                    9.2                 317,597                   12.1
Lenders products                                  91,435                    2.8                 119,507                    4.6
Other                                            318,359                    9.6                 265,560                   10.1
Total                                  $       3,315,748                  100.0          $    2,623,571                  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 reflect
changes in net premiums written over the previous five quarters. Net premiums
earned for both 2022 periods were 26.4% higher than in the 2021 periods.

Losses and Loss Adjustment Expenses.

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

                                                    Three Months Ended                                        Nine Months Ended
                                                      September 30,                                             September 30,
                                              2022                           2021                       2022                      2021
Current year                                            69.8  %                   71.7  %                    62.5  %                   67.2  %
Prior period reserve development                        (0.5) %                   (0.5) %                    (0.6) %                   (0.5) %
Loss ratio                                              69.3  %                   71.2  %                    61.9  %                   66.7  %


Current Year Loss Ratio.

2022 Third Quarter versus 2021 Period. The insurance segment's current year loss
ratio in the 2022 third quarter was 1.9 points lower than in the 2021 third
quarter. The 2022 third quarter loss ratio reflected 13.4 points of current year
catastrophic activity, primarily related to Hurricane Ian, compared to 12.2
points of catastrophic activity for the 2021 third quarter, primarily related to
Hurricane Ida.

Nine Months Ended September 30, 2022 versus 2021 Period. The insurance segment's
current year loss ratio for the nine months ended September 30, 2022 was 4.7
points lower than in the 2021 period and reflected 6.1 points of current year
catastrophic activity, primarily related to Hurricane Ian, Russia's invasion of
Ukraine and other natural catastrophes, compared to 7.0 points in the 2021
period. The balance of the change in the 2022 loss ratios resulted, in part,
from changes in mix of business.

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Prior Period Reserve Development.

The insurance segment's net favorable development was $5.4 million, or 0.5
points, for the 2022 third quarter, compared to $5.1 million, or 0.5 points, for
the 2021 third quarter, and $19.4 million, or 0.6 points, for the nine months
ended September 30, 2022, compared to $13.1 million, or 0.5 points, for the 2021
period. See   note 5, "Reserve for Losses and Loss Adjustment Expenses,"   to
our consolidated financial statements for information about the insurance
segment's prior year reserve development.

Underwriting Expenses.


2022 Third Quarter versus 2021 Period. The insurance segment's underwriting
expense ratio was 33.5% in the 2022 third quarter, compared to 31.0% in the 2021
third quarter. The increase in the 2022 third quarter was primarily due to
growth in lines with higher acquisition costs, such as travel, higher contingent
commission accruals on profitable business and a slightly lower ceded premium
ratio. Partially offsetting this increase in the acquisition expense ratio was a
reduction in the operating expense ratio where the growth in net earned premium
outpaced the growth in operating expense.

Nine Months Ended September 30, 2022 versus 2021 period. The insurance segment's
underwriting expense ratio was 34.3% for the nine months ended September 30,
2022, compared to 31.5% for the 2021 period, with the increase primarily due to
changing mix of business and growth in lines with higher acquisition costs.

Reinsurance Segment


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

                                                                   Three Months Ended September 30,
                                                                                                           %
                                                         2022                     2021                   Change
Gross premiums written                           $      1,639,061           $    1,251,760                   30.9
Premiums ceded                                           (560,225)                (630,371)
Net premiums written                                    1,078,836                  621,389                   73.6
Change in unearned premiums                               (77,062)                  57,313
Net premiums earned                                     1,001,774                  678,702                   47.6
Other underwriting income (loss)                              452           

3,293

Losses and loss adjustment expenses                      (927,911)                (545,846)
Acquisition expenses                                     (208,425)                (129,450)
Other operating expenses                                  (62,777)                 (45,647)
Underwriting income (loss)                       $       (196,887)          $      (38,948)                (405.5)

                                                                                                         % Point
Underwriting Ratios                                                                                      Change
Loss ratio                                                   92.6   %                 80.4  %                12.2
Acquisition expense ratio                                    20.8   %                 19.1  %                 1.7
Other operating expense ratio                                 6.3   %                  6.7  %                (0.4)
Combined ratio                                              119.7   %                106.2  %                13.5


                                                                 Nine Months Ended September 30,
                                                     2022                     2021                   % Change
Gross premiums written                        $     5,151,401           $    4,080,840                    26.2
Premiums ceded                                     (1,770,807)              (1,535,607)
Net premiums written                                3,380,594                2,545,233                    32.8
Change in unearned premiums                          (646,421)                (484,607)
Net premiums earned                                 2,734,173                2,060,626                    32.7
Other underwriting income                               5,814                    3,148
Losses and loss adjustment expenses                (1,920,189)              (1,494,539)
Acquisition expenses                                 (569,915)                (381,060)
Other operating expenses                             (198,606)                (150,856)
Underwriting income (loss)                    $        51,277           $       37,319                    37.4

                                                                                                      % Point
Underwriting Ratios                                                                                   Change
Loss ratio                                               70.2   %                 72.5  %                 (2.3)
Acquisition expense ratio                                20.8   %                 18.5  %                  2.3
Other operating expense ratio                             7.3   %                  7.3  %                    -
Combined ratio                                           98.3   %                 98.3  %                    -


The reinsurance segment consists of our reinsurance underwriting units which
offer specialty product lines on a worldwide basis. Reinsurance agreements are
typically offered on a proportional and/or excess of loss basis and provide
coverage to ceding company clients for specific underlying written policies.
Product lines include:

Casualty: provides coverage on third party liability exposures including, among
others, executive assurance, professional liability, excess and umbrella
liability, excess motor and healthcare business, and workers' compensation.
Business is assumed primarily on a treaty basis, with some facultative coverages
also offered.

Marine and aviation: provides coverage for energy, hull, cargo, specie,
liability and transit, and aviation business, including airline and general
aviation risks. Business written may also include space business, which includes
coverages for satellite assembly, launch and operation for commercial space
programs.


Other specialty: provides coverage for proportional motor reinsurance, whole
account multi-line treaties, cyber, trade credit and surety, accident and
health, workers' compensation catastrophe, agriculture and political risk, among
others.

Property catastrophe: provides protection for most types of catastrophic losses,
including hurricane, earthquake, flood, tornado, hail and fire, and for other
perils on a case-by-case basis. Excess of loss coverages are triggered when
aggregate losses and loss adjustment expense from a single occurrence or
aggregation of losses from a covered peril exceed the retention specified in the
contract.

Property excluding property catastrophe: provides coverage for personal lines
and/or commercial property exposures and principally covers buildings,
structures, equipment and contents. The primary perils in this business include
fire,

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explosion, collapse, riot, vandalism, wind, tornado, flood and earthquake.
Business is assumed on either a treaty basis or facultative basis.

Other: includes life reinsurance business, casualty clash business and, in
limited instances, non-traditional business which is intended to provide
insurers with risk management solutions that complement traditional reinsurance.

Premiums Written.


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

                                                                   Three Months Ended September 30,
                                                          2022                                             2021
                                             Amount                      %                    Amount                    %
Other specialty                       $          381,004                   35.3          $      167,006                   26.9
Property excluding property
catastrophe                                      341,809                   31.7                 237,025                   38.1
Casualty                                         230,308                   21.3                 187,066                   30.1
Property catastrophe                              77,606                    7.2                  (7,125)                  (1.1)
Marine and aviation                               28,633                    2.7                  19,159                    3.1
Other                                             19,476                    1.8                  18,258                    2.9
Total                                 $        1,078,836                  100.0          $      621,389                  100.0


2022 Third Quarter versus 2021 Period. Gross premiums written by the reinsurance
segment in the 2022 third quarter were 30.9% higher than in the 2021 third
quarter, while net premiums written were 73.6% higher. Net premiums written for
the reinsurance segment in the 2021 third quarter were affected by a one time
$161.2 million adjustment, resulting from retrocessions to Somers Re Ltd.
(formerly known as Watford Re Ltd.) following its ownership change on July 1,
2021. Absent this item, net premiums written by the reinsurance segment were
37.9% higher than in the 2021 third quarter. The growth in net premiums written
reflected increases in all lines of business, primarily related to rate
increases, new business opportunities and growth in existing accounts.

                                                                   Nine Months Ended September 30,
                                                         2022                                             2021
                                             Amount                     %                    Amount                    %
Other specialty                       $       1,179,548                   34.9          $      747,662                   29.4
Property excluding property
catastrophe                                     936,270                   27.7                 778,959                   30.6
Casualty                                        709,487                   21.0                 631,212                   24.8
Property catastrophe                            361,028                   10.7                 197,724                    7.8
Marine and aviation                             115,579                    3.4                 131,045                    5.1
Other                                            78,682                    2.3                  58,631                    2.3
Total                                 $       3,380,594                  100.0          $    2,545,233                  100.0


Nine Months Ended September 30, 2022 versus 2021 period. Gross premiums written
by the reinsurance segment for the nine months ended September 30, 2022 were
26.2% higher than in the 2021 period, while net premiums written were 32.8%
higher than in the 2021 period. The increase in net premiums written reflected
growth in most lines of business,

primarily due to new business, rate increases and growth in existing accounts.

Net Premiums Earned.


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

                                                                   Three Months Ended September 30,
                                                          2022                                             2021
                                             Amount                      %                    Amount                    %
Other specialty                       $          330,142                   33.0          $      195,649                   28.8
Property excluding property
catastrophe                                      282,488                   28.2                 210,280                   31.0
Casualty                                         221,636                   22.1                 159,697                   23.5
Property catastrophe                             117,820                   11.8                  61,107                    9.0
Marine and aviation                               25,182                    2.5                  29,818                    4.4
Other                                             24,506                    2.4                  22,151                    3.3
Total                                 $        1,001,774                  100.0          $      678,702                  100.0


                                                                   Nine Months Ended September 30,
                                                         2022                                             2021
                                             Amount                     %                    Amount                    %
Other specialty                       $         846,081                   30.9          $      571,364                   27.7
Property excluding property
catastrophe                                     781,562                   28.6                 600,842                   29.2
Casualty                                        634,208                   23.2                 492,574                   23.9
Property catastrophe                            289,575                   10.6                 225,285                   10.9
Marine and aviation                             109,142                    4.0                 112,699                    5.5
Other                                            73,605                    2.7                  57,862                    2.8
Total                                 $       2,734,173                  100.0          $    2,060,626                  100.0


Net premiums written, irrespective of the class of business, are generally
earned on a pro rata basis over the terms of the underlying policies or
reinsurance contracts. Net premiums earned by the reinsurance segment in the
2022 third quarter were 47.6% higher than in the 2021 third quarter, and reflect
changes in net premiums written over the previous five quarters.

Other Underwriting Income (Loss).


Other underwriting income for the 2022 third quarter was $0.5 million, compared
to $3.3 million for the 2021 third quarter, and $5.8 million for the nine months
ended September 30, 2022, compared to $3.1 million for the 2021 period.

Losses and Loss Adjustment Expenses.


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

                                                        Three Months Ended                                       Nine Months Ended
                                                           September 30,                                           September 30,
                                                  2022                           2021                      2022                      2021
Current year                                                97.5  %                   91.1  %                   74.9  %                  78.3  %
Prior period reserve development                            (4.9) %                  (10.7) %                   (4.7) %                  (5.8) %
Loss ratio                                                  92.6  %                   80.4  %                   70.2  %                  72.5  %


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Current Year Loss Ratio.

2022 Third Quarter versus 2021 Period. The reinsurance segment's current year
loss ratio in the 2022 third quarter was 6.4 points higher than in the 2021
third quarter. The 2022 third quarter loss ratio reflected 42.8 points of
current year catastrophic activity, primarily due to Hurricane Ian and other
global events. The 2021 third quarter included 34.6 points of catastrophic
activity, primarily related to Hurricane Ida and European floods.

Nine Months Ended September 30, 2022 versus 2021 Period. The reinsurance
segment's current year loss ratio for the nine months ended September 30, 2022
was 3.4 points lower than in the 2021 period and reflected 20.1 points of
current year catastrophic activity, primarily related to Hurricane Ian, Russia's
invasion of Ukraine and other global events, compared to 20.1 points in the 2021
period.

Prior Period Reserve Development.


The reinsurance segment's net favorable development was $49.2 million, or 4.9
points, for the 2022 third quarter, compared to $72.3 million, or 10.7 points,
for the 2021 third quarter, and $128.1 million, or 4.7 points, for the nine
months ended September 30, 2022, compared to $119.6 million, or 5.8 points, for
the 2021 period. See   note 5, "Reserve for Losses and Loss Adjustment
Expenses,"   to our consolidated financial statements for information about the
reinsurance segment's prior year reserve development.

Underwriting Expenses.


2022 Third Quarter versus 2021 Period. The underwriting expense ratio for the
reinsurance segment was 27.1% in the 2022 third quarter, compared to 25.8% in
the 2021 third quarter, with the increase primarily resulting from higher level
of pro rata business, which generally has higher ceding commissions than excess
of loss business. Such increase in the acquisition expense ratio was partially
offset by a lower operating expense ratio due to a higher level of earned
premium.

Nine Months Ended September 30, 2022 versus 2021 period. The underwriting
expense ratio for the reinsurance segment was 28.1% for the nine months ended
September 30, 2022, compared to 25.8% for the 2021 period. The comparison of the
underwriting expense ratios also reflected changes in the mix and type of
business and a higher level of net premiums earned for the 2022 period.







Mortgage Segment

Our mortgage operations include U.S. and international mortgage insurance and
reinsurance operations as well as participation in GSE credit risk-sharing
transactions.

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

Three Months Ended September 30,

                                                             2022                     2021                   % Change
Gross premiums written                                $       362,409           $      360,934                    0.4
Premiums ceded                                                (86,230)                 (60,207)
Net premiums written                                          276,179                  300,727                   (8.2)
Change in unearned premiums                                     5,889                   11,238
Net premiums earned                                           282,068                  311,965                   (9.6)
Other underwriting income                                       2,625                    3,981
Losses and loss adjustment expenses                            67,878                  (11,543)
Acquisition expenses                                           (6,693)                 (24,098)
Other operating expenses                                      (46,471)                 (46,254)
Underwriting income                                   $       299,407           $      234,051                   27.9

                                                                                                             % Point
Underwriting Ratios                                                                                           Change
Loss ratio                                                      (24.1)  %                  3.7  %               (27.8)
Acquisition expense ratio                                         2.4   %                  7.7  %                (5.3)
Other operating expense ratio                                    16.5   %                 14.8  %                 1.7
Combined ratio                                                   (5.2)  %                 26.2  %               (31.4)



                                                                       

Nine Months Ended September 30,

                                                            2022                     2021                   % Change
Gross premiums written                               $     1,099,144           $    1,143,691                    (3.9)
Premiums ceded                                              (241,097)                (171,923)
Net premiums written                                         858,047                  971,768                   (11.7)
Change in unearned premiums                                    9,190                   10,735
Net premiums earned                                          867,237                  982,503                   (11.7)
Other underwriting income                                      6,130                   15,026
Losses and loss adjustment expenses                          187,163                  (85,112)
Acquisition expenses                                         (27,343)                 (84,297)
Other operating expenses                                    (150,064)                (143,697)
Underwriting income                                  $       883,123           $      684,423                    29.0

                                                                                                             % Point
Underwriting Ratios                                                                                          Change
Loss ratio                                                     (21.6)  %                  8.7  %                (30.3)
Acquisition expense ratio                                        3.2   %                  8.6  %                 (5.4)
Other operating expense ratio                                   17.3   %                 14.6  %                  2.7
Combined ratio                                                  (1.1)  %                 31.9  %                (33.0)


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Premiums Written.


The following tables set forth our mortgage segment's net premiums written by
underwriting location:

                                             Three Months Ended September 30,
                                             2022                                  2021
                                      Amount                     %          Amount          %
Underwriting location:
United States            $         188,290                      68.2      $ 221,315        73.6
Other                               87,889                      31.8         79,412        26.4
Total                    $         276,179                     100.0      $ 300,727       100.0


2022 Third Quarter versus 2021 Period. Gross premiums written by the mortgage
segment in the 2022 third quarter were 0.4% higher than in the 2021 third
quarter, while net premiums written were 8.2% lower. Net premiums written for
the 2022 third quarter reflected a higher level of premiums ceded than in the
2021 third quarter.

                                            Nine Months Ended September 30,
                                            2022                                 2021
                                     Amount                    %          Amount          %

Underwriting location:
United States            $        590,606                     68.8      $ 703,489        72.4
Other                             267,441                     31.2        268,279        27.6
Total                    $        858,047                    100.0      $ 971,768       100.0


Nine Months Ended September 30, 2022 versus 2021 Period. Gross premiums written
by the mortgage segment for the nine months ended September 30, 2022 were 3.9%
lower than in the 2021 period. The reduction in gross premiums written primarily
reflected a lower U.S. primary mortgage insurance single premium volume and a
decrease in monthly premiums. Net premiums written for the nine months ended
September 30, 2022 were 11.7% lower than in the 2021 period and reflected a
higher level of premiums ceded than in the 2021 period.

The persistency rate, which 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, was 75.4% for the Arch MI U.S. portfolio of mortgage insurance
policies at September 30, 2022, reflecting a lower level of mortgage refinancing
activity, compared to 57.7% at September 30, 2021.

The following tables provide details on the new insurance written ("NIW")
generated by Arch MI U.S. NIW represents the original principal balance of all
loans that received coverage during the period.


(U.S. Dollars in millions)                                      Three 

Months Ended September 30,

                                                        2022                                           2021
                                           Amount                     %                   Amount                   %
Total new insurance written (NIW)
(1)                                  $         17,425                                 $     27,841

Credit quality (FICO):
>=740                                $         11,615                   66.7          $     17,514                   62.9
680-739                                         5,322                   30.5                 9,012                   32.4
620-679                                           485                    2.8                 1,315                    4.7
<620                                                3                      -                     -                      -
Total                                $         17,425                  100.0          $     27,841                  100.0

Loan-to-value (LTV):
95.01% and above                     $            973                    5.6          $      1,554                    5.6
90.01% to 95.00%                                9,916                   56.9                14,240                   51.1
85.01% to 90.00%                                4,839                   27.8                 8,394                   30.1
85.00% and below                                1,697                    9.7                 3,653                   13.1
Total                                $         17,425                  100.0          $     27,841                  100.0

Monthly vs. single:
Monthly                              $         16,911                   97.1          $     26,515                   95.2
Single                                            514                    2.9                 1,326                    4.8
Total                                $         17,425                  100.0          $     27,841                  100.0

Purchase vs. refinance:
Purchase                             $         17,159                   98.5          $     25,711                   92.3
Refinance                                         266                    1.5                 2,130                    7.7
Total                                $         17,425                  100.0          $     27,841                  100.0

(1)Represents the original principal balance of all loans that received coverage
during the period.



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(U.S. Dollars in millions)                                       Nine Months Ended September 30,
                                                        2022                                           2021
                                           Amount                     %                   Amount                   %
Total new insurance written (NIW)
(1)                                  $         60,939                                 $     83,232

Credit quality (FICO):
>=740                                $         40,888                   67.1          $     54,572                   65.6
680-739                                        18,376                   30.2                25,543                   30.7
620-679                                         1,667                    2.7                 3,117                    3.7
<620                                                8                      -                     -                      -
Total                                $         60,939                  100.0          $     83,232                  100.0

Loan-to-value (LTV):
95.01% and above                     $          3,264                    5.4          $      4,646                    5.6
90.01% to 95.00%                               33,984                   55.8                40,464                   48.6
85.01% to 90.00%                               17,163                   28.2                25,381                   30.5
85.01% and below                                6,528                   10.7                12,741                   15.3
Total                                $         60,939                  100.0          $     83,232                  100.0

Monthly vs. single:
Monthly                              $         58,984                   96.8          $     78,229                   94.0
Single                                          1,955                    3.2                 5,003                    6.0
Total                                $         60,939                  100.0          $     83,232                  100.0

Purchase vs. refinance:
Purchase                             $         59,375                   97.4          $     71,226                   85.6
Refinance                                       1,564                    2.6                12,006                   14.4
Total                                $         60,939                  100.0          $     83,232                  100.0


Net Premiums Earned.

The following tables set forth our mortgage segment's net premiums earned by
underwriting location:

                                             Three Months Ended September 30,
                                             2022                                  2021
                                      Amount                     %          Amount          %
Underwriting location:
United States            $         196,874                      69.8      $ 236,892        75.9
Other                               85,194                      30.2         75,073        24.1
Total                    $         282,068                     100.0      $ 311,965       100.0


2022 Third Quarter versus 2021 Period. Net premiums earned for the 2022 third
quarter were 9.6% lower than in the 2021 third quarter, and reflected a
reduction in earnings from single premium policy terminations and a lower level
of monthly premiums.

                                            Nine Months Ended September 30,
                                            2022                                 2021
                                     Amount                    %          Amount          %

Underwriting location:
United States            $        615,599                     71.0      $ 747,830        76.1
Other                             251,638                     29.0        234,673        23.9
Total                    $        867,237                    100.0      $ 982,503       100.0


Nine Months Ended September 30, 2022 versus 2021 Period. For the nine months
ended September 30, 2022, net premiums earned were 11.7% lower than in the 2021
period, and reflected a lower level of earnings from single premium policy
terminations and a decline in monthly premiums.

Other Underwriting Income (Loss).


Other underwriting income, which is primarily related to GSE credit risk-sharing
transactions and our whole mortgage loan purchase and sell program was $2.6
million for the 2022 third quarter, compared to $4.0 million for the 2021 third
quarter.

Losses and Loss Adjustment Expenses.

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

                                                    Three Months Ended                                 Nine Months Ended
                                                       September 30,                                     September 30,
                                               2022                     2021                     2022                      2021
Current year                                       20.6  %                  18.2  %                   18.3  %                  18.8  %
Prior period reserve development                  (44.7) %                 (14.5) %                  (39.9) %                 (10.1) %
Loss ratio                                        (24.1) %                   3.7  %                  (21.6) %                   8.7  %

Current Year Loss Ratio.


2022 Third Quarter versus 2021 Period. The mortgage segment's current year loss
ratio was 2.4 points higher in the 2022 third quarter than in the 2021 third
quarter. The higher current year loss ratio for the 2022 period reflected a
lower level of net premiums earned in the U.S. primary mortgage insurance
business.

Nine Months Ended September 30, 2022 versus 2021 Period. The mortgage segment's
current year loss ratio was 0.5 points lower for the nine months ended September
30, 2022 than for the 2021 period. The lower current year loss ratio for the
2022 period reflected lower delinquencies.

Prior Period Reserve Development.


The mortgage segment's net favorable development was $126.2 million, or 44.7
points, for the 2022 third quarter, compared to $45.1 million, or 14.5 points,
for the 2021 third quarter, and $346.4 million, or 39.9 points, for the nine
months ended September 30, 2022, compared to $99.1 million, or 10.1 points, for
the 2021 period. See   note 5, "Reserve for Losses and Loss Adjustment
Expenses,"   to our consolidated financial statements for information about the
mortgage segment's prior year reserve development.

Underwriting Expenses.


2022 Third Quarter versus 2021 Period. The underwriting expense ratio for the
mortgage segment was 18.9% in the 2022 third quarter, compared to 22.5% in the
2021 third quarter, with the decrease primarily due to lower acquisition
expenses on Australian mortgage insurance following the acquisition of Westpac
LMI in the 2021 third quarter and profit commissions adjustments related to
favorable development of prior year loss reserves. Such amounts were partially
offset by a lower level of net premiums earned in the U.S. primary mortgage
insurance business.

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Nine Months Ended September 30, 2022 versus 2021 period. The underwriting
expense ratio for the mortgage segment was 20.5% for the nine months ended
September 30, 2022, compared to 23.2% for the 2021 period, with the decrease
primarily due to lower acquisition expenses on Australian mortgage insurance
following the acquisition of Westpac LMI in the 2021 third quarter and profit
commissions adjustments related to favorable development of prior year loss
reserves. Such amounts were partially offset by a lower level of net premiums
earned in the U.S. primary mortgage insurance business.

Corporate Segment


The corporate segment results include net investment income, net realized gains
or losses (which includes changes in the allowance for credit losses on
financial assets and net impairment losses recognized in earnings), 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:

                              Three Months Ended            Nine Months Ended
                                September 30,                 September 30,
                              2022           2021          2022           2021
Fixed maturities          $  123,568      $ 75,964      $ 310,963      $ 232,690

Equity securities              4,261         9,867         16,620         23,799
Short-term investments         9,304         1,858         15,999          3,474

Other (1)                      8,644        19,114         28,704         55,699
Gross investment income      145,777       106,803        372,286        315,662
Investment expenses (2)      (17,137)      (18,608)       (56,818)       (59,308)
Net investment income     $  128,640      $ 88,195      $ 315,468        256,354

(1) Amounts include dividends and other distributions on investment funds, term
loan investments, funds held balances, cash balances and other items.


(2)  Investment expenses were approximately 0.29% of average invested assets for
the 2022 third quarter, compared to 0.32% for the 2021 third quarter, and 0.30%
for the nine months ended September 30, 2022, compared to 0.32% for the 2021
period.

The higher level of net investment income for the 2022 period, primarily related
to higher yields available in the financial market. The pre-tax investment
income yield, calculated based on amortized cost and on an annualized basis, was
2.06% for the 2022 third quarter, compared to 1.41% for the 2021 third quarter,
and 1.72% for the nine

months ended September 30, 2022, compared to 1.40% for the 2021 period.

Corporate Expenses.


Corporate expenses were $17.6 million for the 2022 third quarter, compared to
$18.6 million for the 2021 third quarter, and $76.9 million for the nine months
ended September 30, 2022, compared to $59.3 million for the 2021 period. The
increase in corporate expenses was primarily due to higher incentive
compensation costs.

Other Income (Losses)


Other loss for the 2022 third quarter was $13.7 million, compared to a loss of
$4.0 million for the 2021 third quarter, and a loss of $34.5 million for the
nine months ended September 30, 2022, compared to an income of $1.2 million for
the 2021 period. Amounts in both periods primarily reflect changes in the cash
surrender value of our investment in corporate-owned life insurance.

Transaction Costs and Other.


Transaction costs and other were $0.1 million for the 2022 third quarter,
compared to $1.0 million for the 2021 third quarter, and an expense of $0.7
million for the nine months ended September 30, 2022, compared to $0.8 million
for the 2021 period. Amounts in the 2022 and 2021 periods reflect acquisitions
activity for the respective periods.

Amortization of Intangible Assets.


Amortization of intangible assets for the 2022 third quarter was $26.1 million,
compared to $20.1 million for the 2021 third quarter, and $80.5 million for the
nine months ended September 30, 2022, compared to $48.9 million for the 2021
period. Amounts in 2022 and 2021 period primarily attributed 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.

Interest Expense.


Interest expense was $33.1 million for the 2022 third quarter, compared to the
$33.2 million for the 2021 third quarter, and $98.6 million for the nine months
ended September 30, 2022, consistent with $98.8 million for the 2021 period.
Interest expense primarily reflects amounts related to our outstanding senior
notes.

Net Realized Gains or Losses.

We recorded net realized losses of $183.7 million for the 2022 third quarter, of
which approximately 40% represented unrealized changes in the fair value of
equity securities and assets accounted for using the fair value option, compared
to net realized losses of $25.0 million for the 2021 third quarter, and net
realized losses of $742.7 million for the nine months ended September 30, 2022,
compared to net realized gains of $239.7 million for the 2021 period. Currently,
our portfolio is

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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 7, "Investment
Information-Net Realized Gains (Losses)"   and   note 7, "Investment
Information-Allowance for Expected Credit Losses,"   to our consolidated
financial statements for additional information.

Equity in Net Income or Losses of Investment Funds Accounted for Using the
Equity Method.


We recorded a loss of $18.9 million related to investment funds accounted for
using the equity method in the 2022 third quarter, compared to an income of
$105.4 million for the 2021 third quarter, and $75.5 million for the nine months
ended September 30, 2022, compared to $299.3 million for the 2021 period. Such
investments are generally recorded on a one to three month lag based on the
availability of reports from the investment funds. Investment funds accounted
for using the equity method totaled $3.6 billion at September 30, 2022, compared
to $3.1 billion at December 31, 2021. See   note 7, "Investment
Information-Investments Accounted For Using the Equity Method,"   to our
consolidated financial statements for additional information.

Net Foreign Exchange Gains or Losses.


Net foreign exchange gains for the 2022 third quarter were $90.5 million,
compared to net foreign exchange gains for the 2021 third quarter of $36.1
million. Net foreign exchange gains for the nine months ended September 30, 2022
were $182.1 million, compared to net foreign exchange gains for the 2021 period
of $39.7 million. Amounts in both 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 (loss) before income taxes, including income
(loss) from operating affiliates, resulted in an expense of 3.0% for the nine
months ended September 30, 2022, compared to 5.8% for the 2021 period. The
effective tax rate for the nine months ended September 30, 2022 and 2021 periods
included discrete income tax

benefits of $36.5 million and $28.7 million, respectively. The discrete income
tax benefits had the effect of decreasing the effective tax rate on net income
available to Arch common shareholders by 5.7% and 1.7%, respectively. The
discrete tax items in the 2022 and 2021 periods primarily related to the
releases of valuation allowance on U.K. deferred tax assets. Our effective tax
rate, which is based upon the expected annual effective tax rate, may fluctuate
from period to period based on the relative mix of income or loss reported by
jurisdiction and the varying tax rates in each jurisdiction.

Income or Losses from Operating Affiliates.


Income from operating affiliates for 2022 third quarter was $8.5 million,
compared to $124.1 million for the 2021 third quarter, and $37.7 million for the
nine months ended September 30, 2022, compared to $224.1 million for the 2021
period. Results for the 2021 period reflected a one-time gain of $95.7 million
and $74.5 million realized from our investments in Somers and Coface SA,
respectively. See   note 7, "Investment Information-Investments in Operating
Affiliates,"   to our consolidated financial statements for additional
information.

CRITICAL ACCOUNTING POLICIES,
ESTIMATES AND RECENT ACCOUNTING PRONOUNCEMENTS



Critical accounting policies, estimates and recent accounting pronouncements are
discussed in Management's Discussion and Analysis of Financial Condition and
Results of Operations contained in our 2021 Form 10-K, updated where applicable
in the notes accompanying our consolidated financial statements, including

note 1, "Basis of Presentation and Recent Accounting Pronouncements."

FINANCIAL CONDITION

Investable Assets Held by Arch

At September 30, 2022, approximately $18.3 billion, or 68.4%, of total
investable assets held by Arch were internally managed, compared to $18.5
billion
, or 67.3%, at December 31, 2021. See note 7, "Investment
Information" to our consolidated financial statements for additional
information.


                                            September 30, 2022,       December 31, 2021

Average effective duration (in years)               2.84                    

2.70

Average S&P/Moody's credit ratings (1)                     AA/Aa2           

AA-/Aa3

(1)Average credit ratings on our investment portfolio on securities with ratings
assigned by Standard & Poor's Rating Services ("S&P") and Moody's Investors
Service ("Moody's").


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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
September 30, 2022
U.S. government and gov't agencies (1)    $           5,746,853        30.8
AAA                                                   3,344,746        17.9
AA                                                    2,030,730        10.9
A                                                     3,382,545        18.1
BBB                                                   3,001,304        16.1
BB                                                      532,162         2.9
B                                                       357,543         1.9
Lower than B                                             12,417         0.1
Not rated                                               242,730         1.3
Total                                     $          18,651,030       100.0

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

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


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
September 30, 2022
0-10%                                     $          10,662,904          $      (551,217)                     29.6
10-20%                                                5,851,810                 (952,285)                     51.2
20-30%                                                1,070,957                 (326,093)                     17.5
Greater than 30%                                         63,903                  (31,059)                      1.7
Total                                     $          17,649,574          $    (1,860,654)                    100.0

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


The following table summarizes our top ten exposures to fixed income corporate
issuers by fair value at September 30, 2022, excluding guaranteed amounts and
covered bonds:

                                                               Credit
                                 Estimated Fair Value        Rating (1)
Bank of America Corporation     $             430,809               A-/A2
JPMorgan Chase & Co.                          297,868               A-/A1
Morgan Stanley                                268,742               A-/A1
Citigroup Inc.                                260,312             BBB+/A3
The Goldman Sachs Group, Inc.                 243,516             BBB+/A2
Wells Fargo & Company                         237,947             BBB+/A1
Blackstone Inc.                               165,585            BBB/Baa3
Blue Owl Capital Inc.                         157,904           BBB-/Baa3
UBS Group AG                                  125,810               A/Aa3
Dai-ichi Life Holdings, Inc.                  106,357              AA-/A1
Total                           $           2,294,850

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

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

                                                                             Below Investment
                                Agencies            Investment Grade               Grade                  Total
September 30, 2022
RMBS                         $   602,423          $         143,188          $       17,760          $    763,371
CMBS                              18,022                    957,327                  88,889             1,064,238
ABS                                    -                  1,410,672                 180,970             1,591,642
Total                        $   620,445          $       2,511,187          $      287,619          $  3,419,251

December 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

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

                         September 30,       December 31,
                              2022               2021
Equities (1)            $      527,658      $    883,722
Exchange traded funds
Fixed income (2)               269,276           455,467
Equity and other (3)            26,840           491,474
Total                   $      823,774      $  1,830,663


(1)Primarily in consumer non-cyclical, technology, communications, consumer
cyclical and financial at September 30, 2022.
(2)Primarily in corporate at September 30, 2022.
(3)Primarily in large cap stocks, foreign equities, technology, healthcare and
consumer discretionary at September 30, 2022.

For details on our other investments and other investable assets, see note 7,
"Investment Information-Other Investments" to our consolidated financial
statements.


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For details on our investments accounted for using the equity method, see   note
7, "Investment Information-Investments Accounted For Using the Equity Method,"
to our consolidated financial statements.

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 9, "Derivative Instruments,"   to our
consolidated financial statements for additional disclosures related to
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 8, "Fair Value,"   to our
consolidated financial statements for a summary of our financial assets and
liabilities measured at fair value, segregated by level in the fair value
hierarchy.

Reinsurance

The effects of reinsurance on written and earned premiums and losses and loss
adjustment expenses ("LAE") with unaffiliated reinsurers were as follows:

                           Three Months Ended                Nine Months Ended
                             September 30,                     September 30,
                         2022             2021             2022             2021
Premiums written:
Direct               $ 2,247,480      $ 1,993,098      $ 6,503,383      $ 5,795,236
Assumed                1,613,203        1,214,317        5,027,802        4,095,676
Ceded                 (1,136,909)      (1,131,486)      (3,488,632)      (2,907,002)
Net                  $ 2,723,774      $ 2,075,929      $ 8,042,553      $ 6,983,910

Premiums earned:
Direct               $ 2,067,084      $ 1,754,462      $ 5,925,934      $ 5,263,286
Assumed                1,525,027        1,129,434        4,037,580        3,169,016
Ceded                 (1,121,361)        (954,559)      (3,046,356)      (2,433,634)
Net                  $ 2,470,750      $ 1,929,337      $ 6,917,158      $ 5,998,668

Losses and LAE:
Direct               $ 1,228,281      $ 1,101,793      $ 3,016,634      $ 3,134,305
Assumed                1,370,308          961,285        2,661,854        2,182,852
Ceded                   (915,893)        (837,059)      (1,892,301)      (1,728,207)
Net                  $ 1,682,696      $ 1,226,019      $ 3,786,187      $ 3,588,950

See note 6, "Allowance for Expected Credit Losses," to our consolidated
financial statements for information about our reinsurance recoverables and
related allowance for credit losses.

Bellemeade Re


We have entered into aggregate excess of loss mortgage reinsurance agreements
with various special purpose reinsurance companies domiciled in Bermuda (the
"Bellemeade Agreements"). For the respective coverage periods, we will retain
the first layer of the respective aggregate losses and the special purpose
reinsurance companies will provide second layer coverage up to the outstanding
coverage amount. We will then retain losses in excess of the outstanding
coverage limit. The aggregate excess of loss reinsurance coverage generally
decreases over a ten-year period as the underlying covered mortgages amortize,
unless provisional call options embedded within certain of the Bellemeade
Agreements are executed or if pre-defined delinquency triggering events occur.

The following table summarizes the respective coverages and retentions at
September 30, 2022:


          Bellemeade Entities            Initial Coverage at                                   Remaining Retention,
              (Issue Date)                     Issuance               Current Coverage                 Net
2017-1 Ltd. (1)                          $         368,114          $          46,772          $         137,613
2018-1 Ltd. (2)                                    374,460                    103,131                    136,200
2018-3 Ltd. (3)                                    506,110                    217,701                    143,738
2019-1 Ltd. (4)                                    341,790                    119,193                    109,450
2019-2 Ltd. (5)                                    621,022                    347,050                    182,251
2019-3 Ltd. (6)                                    700,920                    257,663                    203,047
2019-4 Ltd. (7)                                    577,267                    283,684                    136,334
2020-2 Ltd. (8)                                    449,167                    123,049                    233,262
2020-3 Ltd. (9)                                    451,816                    276,954                    159,632
2020-4 Ltd. (10)                                   337,013                    112,191                    137,694
2021-1 Ltd. (11)                                   643,577                    540,267                    152,499
2021-2 Ltd. (12)                                   616,017                    551,307                    140,012
2021-3 Ltd. (13)                                   639,391                    627,436                    136,033
2022-1 Ltd. (14)                                   316,760                    316,760                    150,269
2022-2 Ltd. (15)                                   327,165                    327,165                    222,386
Total                                    $       7,270,589          $       4,250,323          $       2,380,420

(1) Issued in October 2017, covering in-force policies issued between January
1, 2017
and June 30, 2017.

(2) Issued in April 2018, covering in-force policies issued between July 1,
2017
and December 31, 2017.

(3) Issued in October 2018, covering in-force policies issued between January
1, 2018
and June 30, 2018.


(4)  Issued in March 2019, covering in-force policies primarily issued between
2005-2008 under United Guaranty Residential Insurance Company ("UGRIC"); as well
as policies issued through 2015 under both UGRIC and Arch Mortgage Insurance
Company.

(5) Issued in April 2019, covering in-force policies issued between July 1,
2018
and December 31, 2018.

(6) Issued in July 2019, covering in-force policies issued in 2016.

(7) Issued in October 2019, covering in-force policies issued between January
1, 2019
and June 30, 2019.


(8)  Issued in September 2020, covering in-force policies issued between January
1, 2020 and May 31, 2020. $423 million was directly funded by Bellemeade 2020-2
Ltd. with an additional $26 million of capacity provided directly to Arch MI
U.S. by a separate panel of reinsurers.

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(9)  Issued in November 2020, covering in-force policies issued between June 1,
2020 and August 31, 2020. $418 million was directly funded by Bellemeade 2020-3
Ltd. with an additional $34 million of capacity provided directly to Arch MI
U.S. by a separate panel of reinsurers.

(10) Issued in December 2020, covering in-force policies issued between July 1,
2019 and December 31, 2019. $321 million was directly funded by Bellemeade
2020-4 Ltd. with an additional $16 million of capacity provided directly to Arch
MI U.S. by a separate panel of reinsurers.

(11) Issued in March 2021, covering in-force policies issued between September
1, 2020 and November 30, 2020. $580 million was directly funded by Bellemeade Re
2021-1 Ltd. with an additional $64 million capacity provided directly to Arch MI
U.S. by a separate panel of reinsurers.

(12) Issued in June 2021, covering in-force policies issued between December 1,
2020 and March 31, 2021. $523 million was directly funded by Bellemeade Re
2021-2 Ltd. via insurance-linked notes, with an additional $93 million capacity
provided directly to Arch MI U.S. by a separate panel of reinsurers.

(13) Issued in September 2021, covering in-force policies issued between April
1, 2021 and June 30, 2021. $508 million was directly funded by Bellemeade Re
2021-3 Ltd. via insurance-linked notes, with an additional $131 million capacity
provided directly to Arch MI U.S. by a separate panel of reinsurers.

(14) Issued in January 2022, covering in-force policies issued between July 1,
2021 and November 30, 2021. $284 million was directly funded by Bellemeade Re
2022-1 Ltd. via insurance-linked notes, with an additional $33 million capacity
provided directly to Arch MI U.S. by a separate panel of reinsurers.

(15) Issued in September 2022, covering in-force policies issued between
November 1, 2021 and June 30, 2022. $201 million was directly funded by
Bellemeade Re 2022-2 Ltd. via insurance-linked notes, with an additional $126
million
capacity provided directly to Arch MI U.S. by a separate panel of
reinsurers.

Reserve for Losses and Loss Adjustment Expenses


We establish reserve for losses and loss adjustment expenses ("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.

At September 30, 2022 and December 31, 2021, our Loss Reserves, net of unpaid
losses and loss adjustment expenses recoverable, by type and by operating
segment were as follows:


                            September 30,      December 31,
                                2022               2021
Insurance segment:
Case reserves              $   2,214,924      $  2,102,891
IBNR reserves                  4,797,323         4,269,904
Total net reserves             7,012,247         6,372,795
Reinsurance segment:
Case reserves                  1,720,426         1,733,571
Additional case reserves         583,197           426,531
IBNR reserves                  3,100,704         2,656,527
Total net reserves             5,404,327         4,816,629
Mortgage segment:
Case reserves                    542,975           741,897
IBNR reserves                    222,194           226,604
Total net reserves               765,169           968,501

Total:
Case reserves                  4,478,325         4,578,359
Additional case reserves         583,197           426,531
IBNR reserves                  8,120,221         7,153,035
Total net reserves         $  13,181,743      $ 12,157,925

At September 30, 2022 and December 31, 2021, the insurance segment's Loss
Reserves by major line of business, net of unpaid losses and loss adjustment
expenses recoverable, were as follows:


                                         September 30,       December 31,
                                              2022               2021
Insurance segment:
Professional lines                      $    1,888,083      $  1,673,615
Construction and national accounts           1,559,888         1,490,206
Programs                                       846,580           793,187
Excess and surplus casualty                    739,676           657,307
Property, energy, marine and aviation          713,021           599,093
Travel, accident and health                    132,337            96,051
Lenders products                                40,960            58,351
Other                                        1,091,702         1,004,985
Total net reserves                      $    7,012,247      $  6,372,795

At September 30, 2022 and December 31, 2021, the reinsurance segment's Loss
Reserves by major line of business, net of unpaid losses and loss adjustment
expenses recoverable, were as follows:

                                           September 30,       December 31,
                                                2022               2021
Reinsurance segment:
Casualty                                  $    2,223,204      $  2,123,360
Other specialty                                1,215,362         1,113,766
Property excluding property catastrophe          971,430           711,859
Property catastrophe                             586,249           486,911
Marine and aviation                              270,574           246,861
Other                                            137,508           133,872
Total net reserves                        $    5,404,327      $  4,816,629


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At September 30, 2022 and December 31, 2021, the mortgage segment's Loss
Reserves by major line of business, net of unpaid losses and loss adjustment
expenses recoverable, were as follows:


                                              September 30,       December 

31,

                                                   2022               2021

U.S. primary mortgage insurance (1) $ 545,577 $ 710,708
U.S. credit risk transfer (CRT) and other

           108,667            

112,549

International mortgage insurance/
reinsurance                                         110,925            145,244
Total net reserves                           $      765,169      $     968,501


(1)  At September 30, 2022, 34.9% of total net reserves represents policy years
2012 and prior and the remainder from later policy years. At December 31, 2021,
27.9% of total net reserves represent policy years 2012 and prior and the
remainder from later policy years.

Mortgage Operations Supplemental Information

The mortgage segment's insurance in force ("IIF") and risk in force ("RIF") were
as follows at September 30, 2022 and December 31, 2021:


(U.S. Dollars in millions)                             September 30, 2022                                 December 31, 2021
                                                 Amount                      %                      Amount                      %
Insurance In Force (IIF) (1):
U.S. primary mortgage insurance           $          294,857                   58.8          $          280,945                   61.0
U.S. credit risk transfer (CRT) and other
(2)                                                  143,897                   28.7                     110,018                   23.9
International mortgage
insurance/reinsurance (3)                             63,068                   12.6                      69,655                   15.1
Total                                     $          501,822                  100.0          $          460,618                  100.0

Risk In Force (RIF) (4):
U.S. primary mortgage insurance           $           75,343                   85.1          $           70,619                   84.3
U.S. credit risk transfer (CRT) and other
(2)                                                    6,473                    7.3                       5,120                    6.1
International mortgage
insurance/reinsurance (3)                              6,727                    7.6                       7,983                    9.5
Total                                     $           88,543                  100.0          $           83,722                  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)International mortgage insurance and reinsurance with risk primarily located
in Australia and to lesser extent Europe and Asia.
(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.

The IIF and RIF for our U.S. primary mortgage insurance business by policy year
were as follows at September 30, 2022:

(U.S. Dollars in millions)              IIF                       RIF               Delinquency
                                Amount          %          Amount         %          Rate (1)
Policy year:
2012 and prior                $  10,362         3.5      $  2,509         3.3            8.22  %
2013                              3,196         1.1           855         1.1            2.12  %
2014                              3,903         1.3         1,071         1.4            2.61  %
2015                              6,607         2.2         1,780         2.4            2.11  %
2016                             11,021         3.7         2,953         3.9            2.47  %
2017                             10,017         3.4         2,654         3.5            3.27  %
2018                             10,744         3.6         2,742         3.6            3.95  %
2019                             19,961         6.8         5,038         6.7            2.24  %
2020                             68,974        23.4        17,294        23.0            0.87  %
2021                             91,486        31.0        23,152        30.7            0.66  %
2022                             58,586        19.9        15,295        20.3            0.17  %
Total                         $ 294,857       100.0      $ 75,343       100.0            1.73  %

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

The IIF and RIF 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:
2012 and prior                $  13,030         4.6      $  2,960         4.2            8.48  %
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.

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The following tables provide supplemental disclosures on risk in force for our
U.S. primary mortgage insurance business at September 30, 2022 and December 31,
2021:

(U.S. Dollars in millions)                        September 30, 2022                                December 31, 2021
                                             Amount                     %                     Amount                     %
Credit quality (FICO):
>=740                                 $         46,538                    61.8          $         42,451                   60.1
680-739                                         24,671                    32.7                    23,646                   33.5
620-679                                          3,850                     5.1                     4,196                    5.9
<620                                               284                     0.4                       326                    0.5
Total                                 $         75,343                   100.0          $         70,619                  100.0
Weighted average FICO score                        748                                               746

Loan-to-value (LTV):
95.01% and above                      $          7,334                     9.7          $          7,538                   10.7
90.01% to 95.00%                                43,049                    57.1                    38,829                   55.0
85.01% to 90.00%                                20,876                    27.7                    20,006                   28.3
85.00% and below                                 4,084                     5.4                     4,246                    6.0
Total                                 $         75,343                   100.0          $         70,619                  100.0
Weighted average LTV                              92.9   %                                          92.8  %

Total RIF, net of external
reinsurance                           $         56,890                                  $         54,574


(U.S. Dollars in millions)           September 30, 2022                   December 31, 2021
                                     Amount               %               Amount              %
Total RIF by State:
California                    $             6,219         8.3      $            5,559         7.9
Texas                                       6,080         8.1                   5,594         7.9
Florida                                     3,275         4.3                   3,303         4.7
Georgia                                     3,150         4.2                   2,902         4.1
North Carolina                              3,139         4.2                   2,921         4.1
Illinois                                    3,087         4.1                   2,933         4.2
Minnesota                                   2,996         4.0                   2,916         4.1
Massachusetts                               2,771         3.7                   2,537         3.6
Virginia                                    2,647         3.5                   2,446         3.5
Michigan                                    2,587         3.4                   2,492         3.5
Other                                      39,392        52.3                  37,016        52.4
Total                         $            75,343       100.0      $           70,619       100.0

The following table provides supplemental disclosures for our U.S. primary
mortgage insurance business related to insured loans and loss metrics:


(U.S. Dollars in thousands, except policy, loan and                 Nine Months Ended
claim count)                                                          September 30,
                                                             2022                      2021
Roll-forward of insured loans in default:
Beginning delinquent number of loans                            27,645                    52,234
New notices                                                     26,328                    26,483
Cures                                                          (33,225)                  (46,334)
Paid claims                                                       (534)                     (613)

Ending delinquent number of loans (1)                           20,214                    31,770

Ending number of policies in force (1)                       1,168,735                 1,188,768

Delinquency rate (1)                                              1.73  %                   2.67  %

Losses:
Number of claims paid                                              534                       613
Total paid claims                                     $         16,865          $         22,848
Average per claim                                     $           31.6          $           37.3
Severity (2)                                                      74.3  %                   80.2  %
Average case reserve per default (in thousands) (1)   $           27.7          $           23.5


(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 7.6 to 1 at September 30, 2022, compared to 8 to 1 at
December 31, 2021.

Shareholders' Equity and Book Value per Share

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


(U.S. dollars in thousands, except                                      September 30,             December 31,
share data)                                                                 2022                      2021
Total shareholders' equity available to Arch                         $     11,795,110          $    13,545,896
Less preferred shareholders' equity                                           830,000                  830,000
Common shareholders' equity available to Arch                        $     10,965,110          $    12,715,896
Common shares and common share equivalents outstanding, net of
treasury shares (1)                                                       369,321,990              378,923,894
Book value per share                                                 $          29.69          $         33.56

(1)Excludes the effects of 15,628,546 and 17,083,160 stock options and 560,945
and 729,636 restricted stock units outstanding at September 30, 2022 and
December 31, 2021, respectively.

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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.


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.

For the nine months ended September 30, 2022, Arch Capital received dividends of
$735.3 million from Arch Reinsurance Ltd. ("Arch Re Bermuda"), our Bermuda based
reinsurer and insurer which can pay approximately $3.1 billion to Arch Capital
during the remainder of 2022 without providing an affidavit to the Bermuda
Monetary Authority.

We expect that our liquidity needs, including our anticipated (re)insurance
obligations and operating and capital expenditure needs, for at least the next
twelve months and thereafter for the forseable future, 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. On April 7, 2022 Arch Capital and
certain of its subsidiaries amended the existing credit agreement. For details
on our credit agreement, see   note 10, "Commitments and Contingencies"   to our
consolidated financial statements.

Cash Flows


The following table summarizes our cash flows from operating, investing and
financing activities.

                                                                  Nine Months Ended
                                                                    September 30,
                                                                2022             2021
Total cash provided by (used for):
Operating activities                                        $ 2,833,717      $ 2,580,697
Investing activities                                         (2,106,721)      (1,184,436)
Financing activities                                           (703,877)        (895,943)

Effects of exchange rate changes on foreign currency cash (79,566)

(30,501)

Increase (decrease) in cash and restricted cash             $   (56,447)    

$ 469,817

•Cash provided by operating activities for the nine months ended September 30,
2022
primarily reflected a higher level premium volume than in the 2021 period.


•Cash used for investing activities for the nine months ended September 30, 2022
was higher than in the 2021 period. Activity for the 2022 period reflected a
lower level of proceeds from sales and redemptions of fixed

income securities. Activity for the 2021 period reflected cash used to invest in
Coface and Somers.


•Cash used for financing activities for the nine months ended September 30, 2022
reflected $585.8 million of repurchases under our share repurchase program.
Activity for the 2021 period, reflected $872.2 million of repurchases under our
share repurchase program.

CAPITAL RESOURCES


The following table provides an analysis of our capital structure:

(U.S. dollars in thousands, except September 30, December 31,
share data)

                                     2022               2021

Senior notes                               $   2,725,153      $  2,724,394

Shareholders' equity available to Arch:


Series F non-cumulative preferred shares         330,000           330,000
Series G non-cumulative preferred shares         500,000           500,000
Common shareholders' equity                   10,965,110        12,715,896
Total                                      $  11,795,110      $ 13,545,896

Total capital available to Arch            $  14,520,263      $ 16,270,290

Debt to total capital (%)                           18.8              16.7
Preferred to total capital (%)                       5.7               5.1
Debt and preferred to total capital (%)             24.5              21.8


Arch MI U.S. is required to maintain compliance with the GSEs requirements,
known as the Private Mortgage Insurer Eligibility Requirements or "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
September 30, 2022 with an estimated PMIER sufficiency ratio of 237%, compared
to 197% at December 31, 2021.

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
insurance, reinsurance and mortgage insurance subsidiaries have entered into
separate reinsurance arrangements with Arch Re Bermuda covering individual lines
of business.

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GUARANTOR INFORMATION



The below table provides a description of our senior notes payable at
September 30, 2022:

                        Interest       Principal        Carrying
    Issuer/Due          (Fixed)         Amount           Amount
Arch Capital:
May 1, 2034              7.350  %    $   300,000      $   297,585
June 30, 2050            3.635  %        1,000,000          988,891
Arch-U.S.:
Nov. 1, 2043 (1)         5.144  %          500,000          495,156
Arch Finance:
Dec. 15, 2026 (1)        4.011  %          500,000          497,962
Dec. 15, 2046 (1)        5.031  %          450,000          445,559
Total                                $ 2,750,000      $ 2,725,153

(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-U.S. and Arch Finance depend on their available cash resources, liquid
investments and dividends or other distributions from their subsidiaries or
affiliates to make payments, including the payment of debt service obligations
and operating expenses they may incur.

The following tables present condensed financial information for Arch Capital
(parent guarantor) and Arch-U.S. (subsidiary issuer):

                                             September 30, 2022
                                        Arch Capital       Arch-U.S.
Assets
Total investments                      $     47,722      $   169,143
Cash                                         12,798            7,463

Investment in operating affiliates            5,448                -
Due from subsidiaries and affiliates          1,485               15

Other assets                                  7,437           29,346
Total assets                           $     74,890      $   205,967

Liabilities

Senior notes                              1,286,476          495,156

Due to subsidiaries and affiliates            1,838          507,103
Other liabilities                            36,038           41,580
Total liabilities                      $  1,324,352      $ 1,043,839

Non-cumulative preferred shares        $    830,000                -


                                                 December 31, 2021
                                                          Arch Capital       Arch-U.S.
Assets
Total investments                                        $      2,038      $   137,124
Cash                                                           16,317           18,392

Investment in operating affiliates                              6,877       

-

Due from subsidiaries and affiliates                                -           26,000

Other assets                                                    9,615           37,040
Total assets                                             $     34,847      $   218,556

Liabilities

Senior notes                                                1,286,208          495,063

Due to subsidiaries and affiliates                                  -          521,839
Other liabilities                                              24,767           47,410
Total liabilities                                        $  1,310,975      $ 1,064,312

Non-cumulative preferred shares                          $    830,000                -


                                                              September 30, 2022
                                                          Arch
Nine Months Ended                                        Capital          Arch-U.S.

Revenues

Net investment income                                                 $        1,349          $          600
Net realized gains (losses)                                                       23                    (338)

Equity in net income (loss) of investments
accounted for using the equity method                                              -                   6,913

Total revenues                                                                 1,372                   7,175

Expenses

Corporate expenses                                                            70,048                  10,882

Interest expense                                                              44,068                  35,328

Total expenses                                                               114,116                  46,210

Income (loss) before income taxes and income
(loss) from operating affiliates                                            (112,744)                (39,035)
Income tax (expense) benefit                                                       -                   7,918

Income (loss) from operating affiliates                                         (758)                      -

Net income available to Arch                                                (113,502)                (31,117)
Preferred dividends                                                          (30,552)                      -

Net income (loss) available to Arch common
shareholders                                                          $     (144,054)         $      (31,117)


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

Revenues

Net investment income                                                                                  1,524                 11,596
Net realized gains (losses)                                                                                -                 72,437

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

Total revenues                                                                                         1,524                102,182

Expenses

Corporate expenses                                                                                    71,818                  5,875

Interest expense                                                                                      58,741                 47,292
Net foreign exchange (gains) losses                                                                        7                      -
Total expenses                                                                                       130,566                 53,167

Income (loss) before income taxes and income
(loss) from operating affiliates                                                                    (129,042)                49,015
Income tax (expense) benefit                                                                               -                (12,513)

Income (loss) from operating affiliates                                                                 (590)                     -

Net income available to Arch                                                                        (129,632)                36,502
Preferred dividends                                                                                  (48,343)                     -
Loss on redemption of preferred shares                                                               (15,101)                     -
Net income (loss) available to Arch common
shareholders                                                                                   $    (193,076)         $      36,502


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. For the nine months
ended September 30, 2022, Arch Capital repurchased 12.9 million shares under the
share repurchase program with an aggregate purchase price of $585.8 million.
Since the inception of the share repurchase program through September 30, 2022,
Arch Capital has repurchased 433.6 million common shares for an aggregate
purchase price of $5.9 billion. At September 30, 2022, approximately $596.4
million of share repurchases were available under the program. The timing and
amount of the repurchase transactions under this program will depend on a
variety of factors, including market conditions and corporate and regulatory
considerations. 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.

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. Man-made catastrophic events may include
acts of war, acts of terrorism and political instability. Catastrophes can also
cause

losses in non-property business such as 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.


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 October 1, 2022, our modeled peak
zone catastrophe exposure was a windstorm affecting the Florida Tri-County, with
a net probable maximum pre-tax loss of $851 million, followed by windstorms
affecting the Gulf of Mexico and the Northeastern U.S. regions with net probable
maximum pre-tax losses of $748 and $747 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. As of October 1,
2022, our modeled peak zone earthquake exposure (San Francisco earthquake)
represented approximately 69% of our peak zone catastrophe exposure, and our
modeled peak zone international exposure (UK 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 tangible shareholders' equity available to Arch. We reserve
the right to change this threshold at any time. Based on in-force

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exposure estimated as of October 1, 2022, our modeled RDS loss was approximately
10% 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. These factors include 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" and "Management's
Discussion and Analysis of Financial Condition and Results of
Operations-Catastrophic Events and Severe Economic Events" in our 2021
Form 10-K.

MARKET SENSITIVE INSTRUMENTS AND RISK MANAGEMENT




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 September 30, 2022. Market risk represents the risk of changes
in the fair value of a financial instrument and is comprised of several
components, including liquidity, basis and price risks.

An analysis of material changes in market risk exposures at September 30, 2022
that affect the quantitative and qualitative disclosures presented in our 2021
Form 10-K (see section captioned "Management's Discussion and Analysis of
Financial Condition and Results of Operations-Market Sensitive Instruments and
Risk Management") were as follows:

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, 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 Fixed Income Securities:

(U.S. dollars in                             Interest Rate Shift in Basis Points
billions)                        -100          -50            -           +50           +100
September 30, 2022
Total fair value              $ 25.75       $ 25.40       $ 25.05      $ 24.70       $ 24.37
Change from base                  2.8  %        1.4  %                    (1.4) %       (2.7) %
Change in unrealized value    $  0.70       $  0.35                    $ (0.35)      $ (0.68)

December 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)


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.

ARCH CAPITAL 64 2022 THIRD QUARTER FORM 10-Q

--------------------------------------------------------------------------------

  Table of Contents
The following table summarizes the effect that an immediate, parallel shift in
credit spreads in a static interest rate environment would have had on our Fixed
Income Securities:

(U.S. dollars in                           Credit Spread Shift in Percentage Points
billions)                        -100           -50            -           +50           +100
September 30, 2022
Total fair value              $  26.03       $ 25.54       $ 25.05      $ 24.56       $ 24.07
Change from base                   3.9  %        2.0  %                    (2.0) %       (3.9) %
Change in unrealized value    $   0.98       $  0.49                    $ (0.49)      $ (0.98)

December 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)



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 September 30, 2022, our portfolio's VaR was
estimated to be 7.9% compared to an estimated 4.8% at December 31, 2021. In
periods where the volatility of the risk factors mapped to our portfolio's
exposures is higher due to market conditions, the resulting VaR is higher than
in other periods.

Equity Securities. At September 30, 2022 and December 31, 2021, the fair value
of our investments in equity securities and certain investments accounted for
using the equity method with underlying equity strategies totaled $0.8 billion
and $1.4 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 $81.9 million and $137.5 million at
September 30, 2022 and December 31, 2021, respectively, and would have decreased
book value per share by approximately $0.22 and $0.36, respectively. An
immediate hypothetical 10% increase in the value of each position would increase
the fair value of such investments by approximately $81.9 million and $137.5
million at September 30, 2022 and December 31, 2021, respectively, and would
have increased book value per share by approximately $0.22 and $0.36,
respectively.

Investment-Related Derivatives. At September 30, 2022, the notional value of all
derivative instruments (excluding foreign currency forward contracts which are
included in the foreign currency exchange risk analysis below) was $5.9 billion,
compared to $6.4 billion at December 31, 2021. If the underlying exposure of
each investment-related derivative held at September 30, 2022 depreciated by 100
basis points, it would have resulted in a reduction in net income of
approximately $58.6 million, and a decrease in book value per share of
approximately $0.16 per share, compared to $63.8 million and $0.17 per share,
respectively, on investment-related derivatives held at December 31, 2021. If
the underlying exposure of each investment-related derivative held at
September 30, 2022 appreciated by 100 basis points, it would have resulted in an
increase in net income of approximately $58.6 million, and an increase in book
value per share of approximately $0.16 per share, compared to $63.8 million and
$0.17 per share, respectively, on investment-related derivatives held at
December 31, 2021. See   note 9, "Derivative Instruments,"   to our consolidated
financial statements for additional disclosures concerning derivatives.

For further discussion on investment activity, please refer to "Financial
Condition-Investable Assets."

ARCH CAPITAL 65 2022 THIRD QUARTER FORM 10-Q

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  Table of Contents
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 9,
"Derivative Instruments,"   to our consolidated financial statements 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:

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