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Short Duration Contracts
12 Months Ended
Dec. 31, 2021
Short Duration Contracts Disclosure [Abstract]  
Short duration contracts
The Company’s reserves for losses and loss adjustment expenses primarily relate to short-duration contracts with various characteristics (e.g., type of coverage, geography, claims duration). The Company considered such information in determining the level of disaggregation for disclosures related to its short-duration contracts, as detailed in the table below:
Reportable segmentLevel of disaggregationIncluded lines of business
InsuranceProperty energy, marine and aviationProperty energy, marine and aviation
Third party occurrence business
Excess and surplus casualty (excluding contract binding); construction and national accounts; and other (including alternative market risks, excess workers’ compensation and employer’s liability insurance coverages)
Third party claims-made businessProfessional lines
Multi-line and other specialty
Programs; contract binding (part of excess and surplus casualty); travel, accident and health; lenders products; and other (contract and commercial surety coverages)
ReinsuranceCasualtyCasualty
Property catastropheProperty catastrophe
Property excluding property catastropheProperty excluding property catastrophe
Marine and aviationMarine and aviation
Other specialtyOther specialty
MortgageDirect mortgage insurance in the U.S.Mortgage insurance on U.S. primary exposures
The Company determined the following to be insignificant for disclosure purposes: (i) certain mortgage business, including non-U.S. primary business, second lien and student loan exposures, global mortgage reinsurance and participation in various GSE credit risk-sharing products, (ii) certain reinsurance business, including casualty clash and non-traditional lines and (iii) amounts associated with Southern Rock Holdings Limited. See Note 2. Such amounts are included as reconciling items.
The Company is required to establish reserves for losses and loss adjustment expenses (“Loss Reserves”) that arise from the business the Company underwrites. Loss Reserves for the insurance, reinsurance and mortgage segments represent estimates of future amounts required to pay losses and loss adjustment expenses for insured or reinsured events which have occurred at or before the balance sheet date. Loss Reserves do not reflect contingency reserve allowances to account for future loss occurrences. Losses arising from
future events will be estimated and recognized at the time the losses are incurred and could be substantial.
Insurance Segment
Loss Reserves for the insurance segment are comprised of estimated amounts for (1) reported losses (“case reserves”) and (2) incurred but not reported losses (“IBNR reserves”). Generally, claims personnel determine whether to establish a case reserve for the estimated amount of the ultimate settlement of individual claims. The estimate reflects the judgment of claims personnel based on general corporate reserving practices, the experience and knowledge of such personnel regarding the nature and value of the specific type of claim and, where appropriate, advice of counsel. The Company also contracts with a number of outside third party administrators in the claims process who, in certain cases, have limited authority to establish case reserves. The work of such administrators is reviewed and monitored by our claims personnel. Loss Reserves are also established to provide for loss adjustment expenses and represent the estimated expense of settling claims, including legal and other fees and the general expenses of administering the claims adjustment process. Periodically, adjustments to the case reserves may be made as additional information is reported or payments are made. IBNR reserves are established to provide for incurred claims which have not yet been reported at the balance sheet date as well as to adjust for any projected variance in case reserving. Actuaries estimate ultimate losses and loss adjustment expenses using various generally accepted actuarial methods applied to known losses and other relevant information. Like case reserves, IBNR reserves are adjusted as additional information becomes known or payments are made. The process of estimating reserves involves a considerable degree of judgment by management and, as of any given date, is inherently uncertain.
Ultimate losses and loss adjustment expenses are generally determined by projection of claim emergence and settlement patterns observed in the past that can reasonably be expected to persist into the future. In forecasting ultimate losses and loss adjustment expenses with respect to any line of business, past experience with respect to that line of business is the primary resource, developed through both industry and company experience, but cannot be relied upon in isolation. Uncertainties in estimating ultimate losses and loss adjustment expenses are magnified by the length of the time lag between when a claim actually occurs and when it is reported and settled. This time lag is sometimes referred to as the “claim-tail.” During this period additional facts regarding coverages written in prior accident years, as well as about actual claims and trends, may become known and, as a result, may lead to adjustments of the related Loss Reserves. If the Company determines that an adjustment is appropriate, the adjustment is recorded in the accounting period in which such determination is made. Accordingly, should Loss
Reserves need to be increased or decreased in the future from amounts currently established, future results of operations would be negatively or positively impacted respectively. The Company authorizes managing general agents, general agents and other producers to write program business on the Company’s behalf within prescribed underwriting authorities. This delegated authority process introduces additional complexity to the actuarial determination of unpaid future losses and loss adjustment expenses. In order to monitor adherence to the underwriting guidelines given to such parties, the Company periodically performs underwriting and claims due diligence reviews.
In determining ultimate losses and loss adjustment expenses, the cost to indemnify claimants, provide needed legal defense and other services for insureds and administer the investigation and adjustment of claims are considered. These claim costs are influenced by many factors that change over time, such as expanded coverage definitions as a result of new court decisions, inflation in costs to repair or replace damaged property, inflation in the cost of medical services and legislated changes in statutory benefits, as well as by the particular, unique facts that pertain to each claim. As a result, the rate at which claims arose in the past and the costs to settle them may not always be representative of what will occur in the future. The factors influencing changes in claim costs are often difficult to isolate or quantify and developments in paid and incurred losses from historical trends are frequently subject to multiple and conflicting interpretations. Changes in coverage terms or claims handling practices may also cause future experience and/or development patterns to vary from the past. A key objective of actuaries in developing estimates of ultimate losses and loss adjustment expenses, and resulting IBNR reserves, is to identify aberrations and systemic changes occurring within historical experience and adjust for them so that the future can be projected more reliably. Because of the factors previously discussed, this process requires the substantial use of informed judgment and is inherently uncertain.
Although Loss Reserves are initially determined based on underwriting and pricing analyses, the Company’s insurance segment applies several generally accepted actuarial methods, as discussed below, on a quarterly basis to evaluate the Loss Reserves, in addition to the expected loss method, in particular for Loss Reserves from more mature accident years (the year in which a loss occurred). Each quarter, as part of the reserving process, the segments’ actuaries reaffirm that the assumptions used in the reserving process continue to form a sound basis for the projection of liabilities. If actual loss activity differs substantially from expectations based on historical information, an adjustment to Loss Reserves may be supported. The Company places more or less reliance on a particular actuarial method based on the facts and circumstances at the time the estimates of Loss Reserves are made.
These methods generally fall into one of the following categories or are hybrids of one or more of the following categories:
Expected loss methods - these methods are based on the assumption that ultimate losses vary proportionately with premiums. Expected loss and loss adjustment expense ratios are typically developed based upon the information derived by underwriters and actuaries during the initial pricing of the business, supplemented by industry data available from organizations, such as statistical bureaus and consulting firms, where appropriate. These ratios consider, among other things, rate increases and changes in terms and conditions that have been observed in the market. Expected loss methods are useful for estimating ultimate losses and loss adjustment expenses in the early years of long-tailed lines of business, when little or no paid or incurred loss information is available, and is commonly applied when limited loss experience exists for a company.
Historical incurred loss development methods - these methods assume that the ratio of losses in one period to losses in an earlier period will remain constant in the future. These methods use incurred losses (i.e., the sum of cumulative historical loss payments plus outstanding case reserves) over discrete periods of time to estimate future losses. Historical incurred loss development methods may be preferable to historical paid loss development methods because they explicitly take into account open cases and the claims adjusters’ evaluations of the cost to settle all known claims. However, historical incurred loss development methods necessarily assume that case reserving practices are consistently applied over time. Therefore, when there have been significant changes in how case reserves are established, using incurred loss data to project ultimate losses may be less reliable than other methods.
Historical paid loss development methods - these methods, like historical incurred loss development methods, assume that the ratio of losses in one period to losses in an earlier period will remain constant. These methods use historical loss payments over discrete periods of time to estimate future losses and necessarily assume that factors that have affected paid losses in the past, such as inflation or the effects of litigation, will remain constant in the future. Because historical paid loss development methods do not use incurred losses to estimate ultimate losses, they may be more reliable than the other methods that use incurred losses in situations where there are significant changes in how incurred losses are established by a company’s claims adjusters. However, historical paid loss development methods are more leveraged (meaning that small changes in payments have a larger impact on estimates of ultimate losses) than
actuarial methods that use incurred losses because cumulative loss payments take much longer to equal the expected ultimate losses than cumulative incurred amounts. In addition, and for similar reasons, historical paid loss development methods are often slow to react to situations when new or different factors arise than those that have affected paid losses in the past.
Adjusted historical paid and incurred loss development methods - these methods take traditional historical paid and incurred loss development methods and adjust them for the estimated impact of changes from the past in factors such as inflation, the speed of claim payments or the adequacy of case reserves. Adjusted historical paid and incurred loss development methods are often more reliable methods of predicting ultimate losses in periods of significant change, provided the actuaries can develop methods to reasonably quantify the impact of changes. As such, these methods utilize more judgment than historical paid and incurred loss development methods.
Bornhuetter-Ferguson (“B-F”) paid and incurred loss methods - these methods utilize actual paid and incurred losses and expected patterns of paid and incurred losses, taking the initial expected ultimate losses into account to determine an estimate of expected ultimate losses. The B-F paid and incurred loss methods are useful when there are few reported claims and a relatively less stable pattern of reported losses.
Frequency-Severity methods - These methods utilize actual paid and incurred claim experience, but break the data down into its component pieces: claim counts, often expressed as a ratio to exposure or premium (frequency), and average claim size (severity). The component pieces are projected to an ultimate level and multiplied together to result in an estimate of ultimate loss. These methods are especially useful when the severity of claims can be confined to a relatively stable range of estimated ultimate average claim value.
Additional analyses - other methodologies are often used in the reserving process for specific types of claims or events, such as catastrophic or other specific major events. These include vendor catastrophe models, which are typically used in the estimation of Loss Reserves at the early stage of known catastrophic events before information has been reported to an insurer or reinsurer.
In the initial reserving process for short-tail insurance lines (consisting of property, energy, marine and aviation and other exposures including travel, accident and health and lenders products), the Company relies on a combination of the reserving methods discussed above. For catastrophe-exposed business, the reserving process also includes the usage of catastrophe models for known events and a heavy
reliance on analysis of individual catastrophic events and management judgment. The development of losses on short-tail business can be unstable, especially for policies characterized by high severity, low frequency losses. As time passes, for a given accident year, additional weight is given to the paid and incurred B-F loss development methods and eventually to the historical paid and incurred loss development methods in the reserving process. The Company makes a number of key assumptions in their reserving process, including that historical paid and reported development patterns are stable, catastrophe models provide useful information about our exposure to catastrophic events that have occurred and underwriters’ judgment as to potential loss exposures can be relied on. The expected loss ratios used in the initial reserving process for short-tail business have varied over time due to changes in pricing, reinsurance structure, estimates of catastrophe losses, policy changes (such as attachment points, class and limits) and geographical distribution. As losses in short-tail lines are reported relatively quickly, expected loss ratios are selected for the current accident year based upon actual attritional loss ratios for earlier accident years, adjusted for rate changes, inflation, changes in reinsurance programs and expected attritional losses based on modeling. Furthermore, ultimate losses for short-tail business are known in a reasonably short period of time.
In the initial reserving process for medium-tail and long-tail insurance lines (consisting of third party occurrence business, third party claims made business, and other exposures including surety, programs and contract binding exposures), the Company primarily relies on the expected loss method. The development of the Company’s medium-tail and long-tail business may be unstable, especially if there are high severity major events, as a portion of the Company’s casualty business is in high excess layers. As time passes, for a given accident year, additional weight is given to the paid and incurred B-F loss development methods and historical paid and incurred loss development methods in the reserving process. The Company makes a number of key assumptions
in reserving for medium-tail and long-tail lines, including that the pricing loss ratio is the best estimate of the ultimate loss ratio at the time the policy is entered into, that the loss development patterns, which are based on a combination of company and industry loss development patterns and adjusted to reflect differences in the insurance segment’s mix of business, are reasonable and that claims personnel and underwriters analyses of our exposure to major events are assumed to be the best estimate of exposure to the known claims on those events. The expected loss ratios used in the initial reserving process for medium-tail and long-tail business for recent accident years have varied over time, in some cases significantly, from earlier accident years. As the credibility of historical experience for earlier accident years increases, the experience from these accident years will be given a greater weighting in the actuarial analysis to determine future accident year expected loss ratios, adjusted for changes in pricing, loss trends, terms and conditions and reinsurance structure.
In 2021 and 2018, the Company entered into loss portfolio transfer and adverse development cover reinsurance agreements accounted for as retroactive reinsurance. The agreements transfers Loss Reserves and future favorable or adverse development on certain runoff programs and certain third party occurrence business, within multi-line and other specialty business (the “Covered Lines”). As incurred losses and allocated loss adjustment expenses for the Covered Lines are ceded to the reinsurer, the Company is not exposed to changes in the amount, timing and uncertainty of cash flows arising from the Covered Lines. To avoid distortion, the incurred losses and allocated loss adjustment expenses and cumulative paid losses and loss adjustment expenses for the Covered Lines are excluded entirely from the tables below. Unpaid loss and loss adjustment expenses recoverable at December 31, 2021 included $390.1 million related to such reinsurance agreements.

The following tables present information on the insurance segment’s short-duration insurance contracts:
Property, energy, marine and aviation ($000’s except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2021
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2012
unaudited
2013
unaudited
2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
2012$233,149 $232,498 $205,776 $199,469 $197,005 $192,993 $190,770 $178,616 $178,250 $178,343 $627 4,245 
2013159,102 156,785 149,199 143,400 134,952 133,869 128,624 127,290 126,276 25 4,243 
2014148,368 145,957 147,465 136,201 132,307 134,329 135,032 134,942 3,098 3,884 
2015112,409 109,865 103,995 102,515 97,852 91,830 91,892 3,804 4,536 
2016104,449 101,306 105,657 100,471 96,437 92,553 874 6,160 
2017280,715 246,291 235,951 230,439 231,228 8,248 6,426 
2018180,981 186,030 173,693 170,057 9,136 5,020 
2019179,056 178,564 165,477 6,667 5,080 
2020359,394 329,362 66,698 4,186 
2021426,870 158,163 2,951 
Total$1,947,000 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2012$20,638 $93,394 $138,977 $161,831 $167,540 $179,945 $181,307 $173,184 $174,032 $174,384 
201332,292 84,936 110,808 120,111 122,244 125,475 123,356 124,688 124,841 
201425,881 53,751 77,892 84,195 87,812 98,553 115,383 122,296 
201523,580 64,953 76,338 86,253 87,926 86,246 87,316 
201624,828 83,552 98,683 97,506 95,002 91,241 
201730,228 139,867 195,532 211,708 215,895 
201830,026 102,285 134,858 142,838 
201926,130 105,380 133,911 
202055,619 194,487 
202190,423 
Total1,377,632 
All outstanding liabilities before 2012, net of reinsurance17,517 
Liabilities for losses and loss adjustment expenses, net of reinsurance$586,885 
Third party occurrence business ($000’s except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2021
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2012
unaudited
2013
unaudited
2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
2012$241,368 $263,451 $269,204 $272,004 $258,371 $253,758 $243,863 $244,448 $242,332 $239,075 $43,924 65,731 
2013283,228 297,225 307,152 302,165 282,122 274,717 272,849 269,754 270,558 54,640 67,113 
2014330,015 336,019 338,890 343,113 339,701 344,197 342,934 343,569 66,498 75,904 
2015359,058 391,884 398,908 392,143 391,455 382,722 386,801 91,081 78,785 
2016389,832 394,485 406,082 399,571 374,896 367,818 115,303 79,005 
2017417,377 417,941 422,624 412,512 407,115 145,130 84,692 
2018430,415 453,190 450,937 451,459 189,965 77,700 
2019456,353 487,547 481,045 253,849 84,895 
2020607,249 616,910 428,750 89,560 
2021622,713 543,386 65,477 
Total$4,187,063 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2012$6,984 $30,915 $58,650 $83,637 $108,660 $130,098 $143,885 $155,085 $163,016 $168,119 
20136,857 29,265 71,449 101,293 122,288 149,292 164,403 174,946 184,800 
20149,228 40,346 71,624 112,702 162,123 191,305 211,643 224,101 
201511,139 44,605 88,515 139,492 181,704 211,715 227,697 
201611,709 41,979 87,616 136,870 164,662 194,773 
201713,408 52,356 99,874 135,111 165,606 
201817,025 63,848 115,137 154,248 
201918,431 73,222 121,859 
202024,509 76,743 
202126,301 
Total1,544,247 
All outstanding liabilities before 2012, net of reinsurance242,741 
Liabilities for losses and loss adjustment expenses, net of reinsurance$2,885,557 
Third party claims-made business ($000’s except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2021
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2012
unaudited
2013
unaudited
2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
2012$317,654 $320,207 $318,453 $313,907 $291,316 $275,665 $277,683 $285,163 $285,527 $286,118 $11,570 15,576 
2013301,956 320,659 324,442 320,524 294,674 291,205 281,996 271,501 273,948 11,739 15,696 
2014264,537 279,846 299,104 279,043 282,058 298,017 292,247 288,318 22,336 15,676 
2015258,989 277,615 276,492 260,063 255,432 252,478 267,925 20,617 14,724 
2016275,394 291,645 308,453 314,747 322,042 327,230 42,509 15,749 
2017271,088 286,565 312,554 308,917 323,854 60,718 16,404 
2018273,521 315,085 320,653 337,083 85,411 15,854 
2019290,217 318,469 318,498 119,673 12,982 
2020384,852 414,580 240,888 10,049 
2021516,420 435,910 8,550 
Total$3,353,974 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2012$17,718 $69,069 $121,211 $164,724 $190,395 $209,295 $227,389 $251,313 $255,337 $260,173 
201319,032 87,458 137,963 179,395 198,008 217,132 238,951 245,687 247,078 
201413,817 63,312 129,712 173,089 208,074 229,958 243,791 249,960 
20159,066 52,046 100,089 126,499 174,161 193,186 216,986 
201610,568 68,226 127,286 158,230 205,596 242,431 
20179,306 67,669 113,208 143,340 196,125 
201812,287 68,424 118,361 158,709 
201912,418 65,477 122,362 
202017,161 87,547 
202123,349 
Total1,804,720 
All outstanding liabilities before 2012, net of reinsurance64,171 
Liabilities for losses and loss adjustment expenses, net of reinsurance$1,613,425 
Multi-line and other specialty ($000’s except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2021
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2012
unaudited
2013
unaudited
2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
2012$254,684 $265,479 $259,582 $257,240 $256,379 $248,066 $248,310 $245,205 $245,260 $243,849 $2,057 55,219 
2013266,089 274,285 265,594 265,672 253,554 254,916 250,252 247,443 246,682 3,461 71,613 
2014303,053 327,098 319,706 319,418 318,297 314,300 311,097 310,097 5,770 109,575 
2015335,250 358,587 357,364 365,362 357,123 349,895 347,669 7,201 148,924 
2016409,367 431,760 428,579 416,724 410,610 408,621 11,032 175,261 
2017483,414 502,068 492,166 501,753 505,135 16,867 219,810 
2018513,466 565,717 563,969 566,283 32,467 247,052 
2019568,337 613,673 641,832 63,880 235,824 
2020622,241 572,265 192,056 149,004 
2021637,258 361,237 75,250 
Total$4,479,691 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2012$78,523 $166,414 $190,754 $209,916 $223,798 $232,640 $233,862 $237,221 $240,191 $239,928 
201386,911 151,897 181,721 214,941 226,769 235,801 237,863 238,792 239,831 
2014108,003 197,609 235,079 267,959 282,104 292,638 294,049 295,551 
2015138,393 236,516 278,265 306,313 321,395 327,082 330,872 
2016176,238 305,250 342,345 363,392 379,885 385,890 
2017181,454 343,049 381,419 424,219 446,749 
2018212,316 390,009 443,644 480,852 
2019212,629 386,894 488,094 
2020173,123 311,112 
2021157,346 
Total3,376,225 
All outstanding liabilities before 2012, net of reinsurance22,375 
Liabilities for losses and loss adjustment expenses, net of reinsurance$1,125,841 
The following table presents the average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance, as of December 31, 2021:
Average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance
Year 1Year 2Year 3Year 4Year 5Year 6Year 7Year 8Year 9Year 10
Property, energy, marine and aviation
19.3 %43.5 %19.1 %6.6 %1.4 %2.3 %3.2 %0.5 %0.3 %0.2 %
Third party occurrence business3.3 %9.3 %11.6 %11.0 %9.8 %8.7 %5.4 %4.1 %3.5 %2.1 %
Third party claims-made business
4.4 %18.0 %17.8 %12.3 %12.7 %7.9 %7.0 %4.3 %1.0 %1.7 %
Multi-line and other specialty34.7 %29.5 %11.0 %8.6 %4.6 %2.8 %0.7 %0.7 %0.8 %(0.1)%
Reinsurance Segment
Loss Reserves for the Company’s reinsurance segment are comprised of (1) case reserves, (2) additional case reserves (“ACRs”) and (3) IBNR reserves. The Company receives reports of claims notices from ceding companies and records case reserves based upon the amount of reserves recommended by the ceding company. Case reserves may be supplemented by ACRs, which may be estimated by the Company’s claims personnel ahead of official notification from the ceding company, or when judgment regarding the size or severity of the known event differs from the ceding company. In certain instances, the Company establishes ACRs even when the ceding company does not report any liability on a known event. In addition, specific claim information reported by ceding companies or obtained through claim audits can alert the Company to emerging trends such as changing legal interpretations of coverage and liability, claims from unexpected sources or classes of business, and significant changes in the frequency or severity of individual claims. Such information is often used in the process of estimating IBNR reserves. IBNR reserves are established to provide for incurred claims which have not yet been reported at the balance sheet date as well as to adjust for any projected variance in case reserving. Actuaries estimate ultimate losses and loss adjustment expenses using various generally accepted actuarial methods applied to known losses and other relevant information. Like case reserves, IBNR reserves are adjusted as additional information becomes known or payments are made. The process of estimating Loss Reserves involves a considerable degree of judgment by management and, as of any given date, is inherently uncertain.
The estimation of Loss Reserves for the reinsurance segment is subject to the same risk factors as the estimation of Loss Reserves for the insurance segment. In addition, the inherent uncertainties of estimating such reserves are even greater for reinsurers, due primarily to the following factors: (1) the claim-tail for reinsurers is generally longer because claims are first reported to the ceding company and then to the reinsurer through one or more intermediaries, (2) the reliance on premium estimates, where reports have not been received from the ceding company, in the reserving process, (3) the potential for writing a number of reinsurance contracts with different ceding companies with the same exposure to a single loss event, (4) the diversity of loss development
patterns among different types of reinsurance contracts, (5) the necessary reliance on the ceding companies for information regarding reported claims and (6) the differing reserving practices among ceding companies.
Ultimate losses and loss adjustment expenses are generally determined by projection of claim emergence and settlement patterns observed in the past that can reasonably be expected to persist into the future. As with the insurance segment, the process of estimating Loss Reserves for the reinsurance segment involves a considerable degree of judgment by management and, as of any given date, is inherently uncertain. As discussed above, such uncertainty is greater for reinsurers compared to insurers. As a result, our reinsurance operations obtain information from numerous sources to assist in the process. Pricing actuaries from the reinsurance segment devote considerable effort to understanding and analyzing a ceding company’s operations and loss history during the underwriting of the business, using a combination of ceding company and industry statistics. Such statistics normally include historical premium and loss data by class of business, individual claim information for larger claims, distributions of insurance limits provided, loss reporting and payment patterns, and rate change history. This analysis is used to project expected loss ratios for each treaty during the upcoming contract period.
As mentioned above, there can be a considerable time lag from the time a claim is reported to a ceding company to the time it is reported to the reinsurer. The lag can be several years in some cases and may be attributed to a number of reasons, including the time it takes to investigate a claim, delays associated with the litigation process, the deterioration in a claimant’s physical condition many years after an accident occurs, the case reserving approach of the ceding company, etc. In the reserving process, the Company assumes that such lags are predictable, on average, over time and therefore the lags are contemplated in the loss reporting patterns used in their actuarial methods. This means that the reinsurance segment must rely on estimates for a longer period of time than does an insurance company. Backlogs in the recording of assumed reinsurance can also complicate the accuracy of loss reserve estimation. As of December 31, 2021 there were no significant backlogs related to the processing of assumed reinsurance information at our reinsurance operations.
The reinsurance segment relies heavily on information reported by ceding companies, as discussed above. In order to determine the accuracy and completeness of such information, underwriters, actuaries, and claims personnel often perform audits of ceding companies and regularly review information received from ceding companies for unusual or unexpected results. Material findings are usually discussed with the ceding companies. The Company sometimes encounters situations where they determine that a claim presentation from a ceding company is not in accordance with contract terms. In these situations, the Company attempts to resolve the dispute with the ceding company. Most situations are resolved amicably and without the need for litigation or arbitration. However, in the infrequent situations where a resolution is not possible, the Company will vigorously defend its position in such disputes.
Although Loss Reserves are initially determined based on underwriting and pricing analysis, the Company applies several generally accepted actuarial methods, as discussed above, on a quarterly basis to evaluate its Loss Reserves in addition to the expected loss method, in particular for reserves from more mature underwriting years (the year in which business is underwritten). Each quarter, as part of the reserving process, the Company’s actuaries reaffirm that the assumptions used in the reserving process continue to form a sound basis for projection of liabilities. If actual loss activity differs substantially from expectations based on historical information, an adjustment to Loss Reserves may be supported. Estimated Loss Reserves for more mature underwriting years are now based more on actual loss activity and historical patterns than on the initial assumptions based on pricing indications. More recent underwriting years rely more heavily on internal pricing assumptions. The Company places more or less reliance on a particular actuarial method based on the facts and circumstances at the time the estimates of Loss Reserves are made.
In the initial reserving process for short-tail reinsurance lines (consisting of property excluding property catastrophe and property catastrophe exposures), the Company relies on a combination of the reserving methods discussed above. For known catastrophic events, the reserving process also includes the usage of catastrophe models and a heavy reliance on analysis which includes ceding company inquiries and management judgment. The development of property losses may be unstable, especially where there is high catastrophic exposure, may be characterized by high severity, low frequency losses for excess and catastrophe-exposed business and may be highly correlated across contracts. As time passes, for a given underwriting year, additional weight is given to the paid and incurred B-F loss development methods and historical paid and incurred loss development
methods in the reserving process. The Company makes a number of key assumptions in reserving for short-tail lines, including that historical paid and reported development patterns are stable, catastrophe models provide useful information about our exposure to catastrophic events that have occurred and our underwriters’ judgment and guidance received from ceding companies as to potential loss exposures may be relied on. The expected loss ratios used in the initial reserving process for property exposures have varied over time due to changes in pricing, reinsurance structure, estimates of catastrophe losses, terms and conditions and geographical distribution. As losses in property lines are reported relatively quickly, expected loss ratios are selected for the current underwriting year incorporating the experience for earlier underwriting years, adjusted for rate changes, inflation, changes in reinsurance programs, expectations about present and future market conditions and expected attritional losses based on modeling. Due to the short-tail nature of property business, reported loss experience emerges quickly and ultimate losses are known in a reasonably short period of time.
In the initial reserving process for medium-tail and long-tail reinsurance lines (consisting of casualty, other specialty, marine and aviation and other exposures), the Company primarily relies on the expected loss method. The development of medium-tail and long-tail business may be unstable, especially if there are high severity major events, with business written on an excess of loss basis typically having a longer tail than business written on a pro rata basis. As time passes, for a given underwriting year, additional weight is given to the paid and incurred B-F loss development methods and eventually to the historical paid and incurred loss development methods in the reserving process. Our reinsurance operations make a number of key assumptions in reserving for medium-tail and long-tail lines, including that the pricing loss ratio is the best estimate of the ultimate loss ratio at the time the contract is entered into, historical paid and reported development patterns are stable and claims personnel and underwriters’ analyses of our exposure to major events are our best estimate of our exposure to the known claims on those events. The expected loss ratios used in our reinsurance operations’ initial reserving process for medium-tail and long-tail contracts have varied over time due to changes in pricing, terms and conditions and reinsurance structure. As the credibility of historical experience for earlier underwriting years increases, the experience from these underwriting years is used in the actuarial analysis to determine future underwriting year expected loss ratios, adjusted for changes in pricing, loss trends, terms and conditions and reinsurance structure.
The following tables present information on the reinsurance segment’s short-duration insurance contracts:
Casualty ($000’s)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2021
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2012
unaudited
2013
unaudited
2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
2012$143,029 $141,202 $137,049 $125,104 $115,131 $109,788 $118,457 $121,721 $120,260 $119,222 $24,441 N/A
2013166,016 159,257 155,066 148,784 136,717 135,155 131,475 135,762 135,959 30,873 N/A
2014216,882 222,109 219,355 233,552 230,019 239,765 240,067 236,378 41,077 N/A
2015223,208 221,922 230,830 238,126 242,180 249,029 252,809 57,345 N/A
2016215,222 227,534 251,415 266,254 273,266 272,689 54,087 N/A
2017270,728 257,088 273,166 301,616 313,605 66,450 N/A
2018281,141 294,820 285,646 290,955 66,572 N/A
2019336,062 348,015 374,002 120,045 N/A
2020386,684 374,912 234,251 N/A
2021445,047 392,885 N/A
Total$2,815,578 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2012$1,306 $8,486 $14,690 $25,523 $36,562 $47,807 $59,511 $69,877 $75,833 $79,364 
20132,480 9,930 23,044 43,069 54,567 63,136 70,803 76,703 81,856 
20143,920 16,061 40,804 63,441 91,098 114,456 134,529 145,376 
20154,463 20,275 47,288 71,098 96,835 120,566 138,035 
20165,739 25,649 51,684 86,798 113,835 132,814 
20176,429 30,360 64,075 113,307 137,921 
20187,580 31,218 106,571 129,196 
201915,815 57,643 96,935 
202017,730 50,603 
202114,794 
Total1,006,894 
All outstanding liabilities before 2012, net of reinsurance297,823 
Liabilities for losses and loss adjustment expenses, net of reinsurance$2,106,507 

Property catastrophe ($000’s)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2021
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2012
unaudited
2013
unaudited
2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
2012$149,957 $122,942 $108,590 $102,114 $99,885 $99,071 $97,037 $97,145 $96,531 $96,447 $105 N/A
201367,257 47,780 36,401 31,902 29,345 28,617 27,727 27,865 27,657 (138)N/A
201445,159 30,877 25,296 22,412 20,652 19,945 19,841 19,615 (10)N/A
201533,579 18,075 11,580 5,585 3,775 3,130 2,920 67 N/A
201625,641 18,719 14,575 10,772 8,362 7,426 881 N/A
201787,504 54,768 50,553 36,846 25,121 (712)N/A
201877,868 60,418 41,642 27,657 4,783 N/A
201938,570 24,808 23,534 4,576 N/A
2020267,750 334,185 40,561 N/A
2021316,197 61,821 N/A
Total$880,759 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2012$25,850 $70,832 $83,822 $90,727 $92,886 $94,015 $94,625 $95,312 $95,414 $95,606 
201312,200 19,201 24,038 25,894 27,652 27,891 27,892 28,597 28,346 
201413,622 19,939 18,402 19,231 18,821 19,013 19,154 19,241 
2015(3,152)(2,518)1,786 2,050 1,616 1,705 1,781 
2016(6,722)2,521 2,796 4,082 3,312 3,668 
201730,704 32,228 37,791 27,797 14,969 
201827,497 12,506 24,259 (4,612)
20193,834 12,680 18,134 
202053,275 155,063 
202164,764 
Total396,960 
All outstanding liabilities before 2012, net of reinsurance2,449 
Liabilities for losses and loss adjustment expenses, net of reinsurance$486,248 
Property excluding property catastrophe ($000’s)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2021
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2012
unaudited
2013
unaudited
2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
2012$156,162 $121,808 $123,689 $119,124 $114,699 $112,477 $111,001 $108,436 $102,994 $103,367 $508 N/A
2013115,473 76,905 70,558 66,208 64,486 63,702 62,504 63,269 62,782 384 N/A
2014143,464 117,448 99,328 90,710 88,438 84,130 82,408 80,940 923 N/A
2015215,095 189,109 184,774 189,045 188,343 177,281 173,659 8,482 N/A
2016177,039 146,307 138,375 136,868 140,681 137,579 12,700 N/A
2017271,713 253,859 240,749 233,153 216,358 13,045 N/A
2018225,638 242,069 238,052 214,942 11,593 N/A
2019216,653 206,997 196,840 17,777 N/A
2020371,752 343,078 51,075 N/A
2021552,066 255,343 N/A
Total$2,081,611 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2012$26,153 $78,080 $93,198 $101,868 $102,844 $103,480 $102,658 $102,598 $102,504 $102,525 
201325,993 42,737 49,816 52,997 53,796 55,676 61,183 62,113 62,139 
201423,496 62,800 71,692 76,634 78,274 78,657 78,567 78,268 
201575,622 119,237 149,814 160,848 166,025 159,675 159,925 
201633,400 95,616 99,428 104,984 112,838 115,102 
201727,569 125,768 158,066 166,087 181,628 
201830,047 108,863 153,944 169,054 
201943,230 124,222 150,931 
2020101,969 208,888 
2021136,712 
Total1,365,172 
All outstanding liabilities before 2012, net of reinsurance7,595 
Liabilities for losses and loss adjustment expenses, net of reinsurance$724,034 

Marine and aviation ($000’s)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2021
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2012
unaudited
2013
unaudited
2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
2012$58,992 $58,868 $55,053 $52,286 $51,079 $49,727 $46,046 $43,028 $41,182 $40,016 $1,005 N/A
201338,881 37,668 36,653 35,251 35,157 34,415 33,970 30,316 27,605 2,394 N/A
201430,958 29,159 27,373 25,674 23,677 23,310 22,031 21,984 4,909 N/A
201533,646 37,505 31,790 31,736 30,789 28,464 27,680 3,867 N/A
201627,351 22,747 23,567 19,273 16,969 15,019 6,708 N/A
201728,800 26,346 23,830 20,827 19,903 6,387 N/A
201828,017 26,084 24,615 24,756 6,452 N/A
201948,929 55,307 60,983 15,112 N/A
202083,457 76,598 36,671 N/A
2021111,046 89,459 N/A
Total$425,590 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2012$2,658 $11,433 $27,528 $33,313 $35,055 $36,257 $37,746 $38,038 $38,131 $38,116 
20134,945 13,731 18,415 21,388 22,398 23,672 24,049 23,786 23,753 
20144,177 7,985 11,590 12,469 14,645 15,080 15,956 16,036 
201513,418 19,023 20,861 22,629 22,306 22,445 
2016(7,333)(1,687)521 3,261 5,864 6,767 
20171,660 6,541 9,367 11,030 11,632 
20182,005 6,968 11,236 13,585 
201910,756 21,580 29,068 
20209,220 26,519 
20218,643 
Total196,564 
All outstanding liabilities before 2012, net of reinsurance16,855 
Liabilities for losses and loss adjustment expenses, net of reinsurance$245,881 
Other specialty ($000’s)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2021
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2012
unaudited
2013
unaudited
2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
2012$222,558 $211,839 $202,046 $196,138 $193,882 $196,539 $194,726 $189,193 $181,246 $179,364 $2,392 N/A
2013252,744 226,032 216,250 212,721 213,614 211,261 210,825 204,894 201,830 6,409 N/A
2014274,826 256,332 258,114 251,474 246,393 248,083 243,652 237,478 7,857 N/A
2015209,764 201,057 199,468 196,521 196,840 193,626 182,162 8,549 N/A
2016223,191 220,661 215,078 209,564 215,614 210,344 13,182 N/A
2017269,254 258,419 247,203 245,505 241,598 30,855 N/A
2018320,538 316,231 308,190 324,536 40,807 N/A
2019360,854 341,409 326,168 51,165 N/A
2020533,861 460,084 102,130 N/A
2021582,446 300,667 N/A
Total$2,946,010 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2012$45,663 $121,679 $144,429 $155,445 $163,160 $167,164 $171,519 $173,305 $173,606 $173,494 
201357,317 119,445 145,521 161,608 171,189 176,483 183,772 184,111 186,956 
201468,869 146,652 182,184 195,433 201,974 212,991 215,597 219,060 
201554,359 114,382 138,350 145,419 154,369 162,314 164,471 
201665,055 138,648 162,661 174,403 186,247 189,411 
201773,366 164,829 192,274 199,051 205,998 
201871,167 201,732 231,358 245,330 
201979,718 158,132 216,647 
202097,617 243,980 
2021126,635 
Total1,971,982 
All outstanding liabilities before 2012, net of reinsurance7,777 
Liabilities for losses and loss adjustment expenses, net of reinsurance$981,805 
The following table presents the average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance, as of December 31, 2021:
Average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance
Year 1Year 2Year 3Year 4Year 5Year 6Year 7Year 8Year 9Year 10
Casualty
2.5 %7.3 %11.6 %11.3 %9.6 %8.4 %7.7 %5.9 %4.4 %3.0 %
Property catastrophe21.6 %30.0 %32.8 %(14.2)%(11.6)%2.2 %1.0 %1.2 %(0.4)%0.2 %
Property excluding property catastrophe
26.7 %38.9 %13.3 %5.8 %3.4 %0.4 %2.0 %0.4 %— %— %
Marine and aviation
4.9 %26.9 %19.0 %10.3 %7.4 %2.9 %2.4 %— %0.1 %— %
Other specialty26.3 %34.2 %12.9 %5.2 %4.2 %3.1 %2.1 %0.9 %0.8 %(0.1)%
Mortgage Segment
The Company’s mortgage segment includes (1) U.S. primary mortgage insurance (2) U.S. credit risk transfer and other, and (3) international mortgage insurance and reinsurance. The latter two categories along with second lien and student loan exposures are excluded on the basis of insignificance for the purposes of presenting disclosures related to short duration contracts.
For primary mortgage insurance business, the Company establishes case reserves for loans that have been reported as delinquent by loan servicers as well as those that are delinquent but not reported (IBNR reserves). The Company also reserves for the expenses of adjusting claims related to these delinquencies. The trigger that creates a case reserve estimate is that an insured loan is reported to us as being two payments in arrears. The actuarial reviews and documentation created in the reserving process are completed in accordance with generally accepted actuarial standards.
The selected assumptions reflect actuarial judgment based on the analysis of historical data and experience combined with information concerning current underwriting, economic, judicial, regulatory and other influences on ultimate claim settlements.
Because the reserving process requires the Company to forecast future conditions, it is inherently uncertain and requires significant judgment and estimation. The use of different estimates would result in the establishment of different reserve levels. Additionally, changes in estimates are likely to occur from period to period as economic conditions change, and the ultimate liability may vary significantly from the estimates used. Major risk factors include (but are not limited to) changes in home prices and borrower equity, which can limit the borrower’s ability to sell the property and satisfy the outstanding loan balance, and changes in unemployment, which can affect the borrower’s income and ability to make mortgage payments. The unique nature of the COVID-19 pandemic, with no historical
precedent, adds further uncertainty to current reserve estimates.
The lead actuarial methodology used by the Company is a frequency-severity method based on the inventory of pending delinquencies. Each month the loan servicers report the delinquency status of each insured loan. Using the frequency-severity method allows the Company to take advantage of its knowledge of the number of delinquent loans and the coverage provided (“risk size”) on those loans by directly relating the reserves to these amounts. The delinquencies are grouped into homogeneous cohorts for analysis, reflecting product type and age of delinquency. A claim rate is then developed for each cohort which represents the frequency with which the delinquencies become claims. The claim frequency rates are based on an analysis of the patterns of emerging cure counts and claim counts, the foreclosure status of the pending delinquencies, the product and geographical mix of the delinquencies and our view of future economic and claim conditions, which include trends in home prices and unemployment. Claim rates can vary materially by age of delinquency, depending on the mix of delinquencies and economic conditions.
Claim size severity estimates are determined by examining the risk sizes on the delinquent loans and estimating the portion of risk that will be paid, as well as any expenses. This is done based on a review of historical development patterns, an assessment of economic conditions and the level of equity the borrowers may have in their homes, as well as considering economic conditions and loss mitigation opportunities. Mortgage insurance is generally not subject to large claim sizes, as with some other lines of insurance. A claim size over $250,000 is rare, and this helps reduce the volatility of claim size estimates.
The claim rate and claim size assumptions generate case reserves for the population of reported delinquencies. The reserve for unreported delinquencies (included in IBNR reserves) is estimated by looking at historical patterns of reporting. Claim rates and claim sizes can then be assigned to estimated unreported delinquencies using assumptions made in the establishment of case reserves.
Mortgage insurance Loss Reserves are short-tail, in the sense that the vast majority of delinquencies are resolved within two years of being reported. Due to the forbearances and foreclosure moratoriums associated with COVID-19, settlement timelines may be extended. While reserves are initially analyzed by reserve cohort, as described above, they are also rolled up by underwriting year to ensure that reserve assumptions are consistent with the performance of the underwriting year. The accuracy of prior reserve assumptions is also checked in hindsight to determine if adjustments to the assumptions are needed.
Loss Reserves for the Company’s mortgage reinsurance business and GSE credit risk sharing transactions are comprised of case reserves and IBNR reserves. The Company’s mortgage reinsurance operations receive reports of delinquent loans and claims notices from ceding companies and record case reserves based upon the amount of reserves recommended by the ceding company. In addition, specific claim and delinquency information reported by ceding companies is used in the process of estimating IBNR reserves.
The following table presents information on the mortgage segment’s short-duration insurance contracts:
U.S. primary mortgage insurance ($000’s except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2021
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of paid claims
Year ended December 31,
Accident year2012
unaudited
2013
unaudited
2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
2012$520,835 $480,592 $475,317 $469,238 $467,296 $459,467 $458,065 $456,286 $456,331 $456,362 15,080 
2013469,311 419,668 411,793 405,809 395,693 393,149 390,987 391,062 391,324 9,468 
2014316,095 297,151 279,434 266,027 265,992 261,091 262,682 262,829 6,299 
2015222,790 197,238 198,001 194,677 189,235 190,913 190,560 4,554 
2016183,556 170,532 148,715 140,608 142,392 141,657 3,424 
2017179,376 132,220 107,255 108,181 109,242 2,474 
2018132,318 96,357 89,120 87,962 60 1,635 
2019108,424 119,253 110,362 181 851 
2020420,003 373,533 2,686 189 
2021144,375 2,246 11 
Total$2,268,206 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2012(106,065)186,605 327,605 395,695 426,024 441,577 448,151 452,348 453,587 453,986 
201341,447 203,957 308,956 353,189 373,909 382,200 386,853 387,894 387,879 
201420,099 129,159 201,925 233,879 247,038 254,175 256,285 256,875 
201516,159 92,431 151,222 171,337 180,321 183,472 184,025 
201611,462 72,201 113,357 127,286 131,161 131,717 
20178,622 48,112 78,650 87,317 89,756 
20183,966 31,478 50,135 55,853 
20192,899 20,105 29,102 
20201,040 4,144 
2021469 
1,593,806 
All outstanding liabilities before 2012, net of reinsurance14,288 
Liabilities for losses and loss adjustment expenses, net of reinsurance$688,688 
The following table presents the average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance, as of December 31, 2021:
Average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance
Year 1Year 2Year 3Year 4Year 5Year 6Year 7Year 8Year 9Year 10
U.S. Primary2.7 %34.9 %25.3 %10.5 %4.4 %2.1 %0.9 %0.5 %0.1 %0.1 %
The following table represents a reconciliation of the disclosures of net incurred and paid loss development tables to the reserve for losses and loss adjustment expenses at December 31, 2021:
December 31, 2021
Net outstanding liabilities
Insurance
Property, energy, marine and aviation
$586,885 
Third party occurrence business
2,885,557 
Third party claims-made business
1,613,425 
Multi-line and other specialty
1,125,841 
Reinsurance
Casualty
2,106,507 
Property catastrophe
486,248 
Property excluding property catastrophe
724,034 
Marine and aviation
245,881 
Other specialty
981,805 
Mortgage
U.S. primary688,688 
Other short duration lines not included in disclosures 441,459 
Total for short duration lines11,886,330 
Unpaid losses and loss adjustment expenses recoverable
Insurance
Property, energy, marine and aviation
354,432 
Third party occurrence business
1,537,549 
Third party claims-made business
921,086 
Multi-line and other specialty
199,485 
Reinsurance
Casualty
592,879 
Property catastrophe
484,598 
Property excluding property catastrophe
118,939 
Marine and aviation
111,298 
Other specialty
373,292 
Mortgage
U.S. primary48,259 
Other short duration lines not included in disclosures (1)887,457 
Intercompany eliminations(4,146)
Total for short duration lines5,625,128 
Lines other than short duration76,240 
Discounting(55,575)
Unallocated claims adjustment expenses225,033 
245,698 
Total gross reserves for losses and loss adjustment expenses$17,757,156 
(1)    Includes unpaid loss and loss adjustment expenses recoverable of $390.1 million related to the loss portfolio transfer reinsurance agreements.