7Baggers

Arch Capital Group Ltd
(NASDAQ:ACGL) 

ACGL stock logo

Arch Capital Group Ltd., together with its subsidiaries, provides insurance, reinsurance, and mortgage insurance products worldwide. The company's Insurance segment offers primary and excess casualty coverages; loss sensitive primary casualty insurance programs; collateral protection, debt cancellat...

Founded: 1995
Full Time Employees: 4,300
Sector: Financial Services
Industry: Insurance-Diversified

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Quarterly
Annual
    Unit: USD2026-03-31 2025-12-31 2025-09-30 2025-06-30 2025-03-31 2024-12-31 2024-09-30 2024-06-30 2024-03-31 2023-12-31 2023-09-30 2023-06-30 2023-03-31 2022-12-31 2022-09-30 2022-06-30 2022-03-31 2021-12-31 2021-09-30 2021-06-30 2021-03-31 2020-12-31 2020-09-30 2020-06-30 2020-03-31 2019-09-30 2019-06-30 2019-03-31 2018-09-30 2018-06-30 2018-03-31 2017-12-31 2017-09-30 2017-06-30 2017-03-31 2016-12-31 2016-09-30 2016-06-30 2016-03-31 2015-12-31 2015-09-30 2015-06-30 2015-03-31 2014-09-30 2014-06-30 2014-03-31 2013-12-31 2013-09-30 2013-06-30 2013-03-31 2012-09-30 2012-06-30 2012-03-31 2011-09-30 2011-06-30 2011-03-31 2010-09-30 2010-06-30 2010-03-31 2009-09-30 2009-06-30 2009-03-31 2008-09-30 2008-06-30 2008-03-31 2007-03-31 2006-12-31 2005-12-31 2005-09-30 2005-06-30 2005-03-31 2004-09-30 2004-06-30 2003-06-30 
                                                                              
      revenues
                                                                              
      net premiums earned
    3,986,000,000 4,255,000,000 4,285,000,000 4,337,000,000 4,188,000,000 4,143,000,000 3,970,000,000 3,565,000,000 3,422,000,000 3,344,000,000 3,248,000,000 2,965,000,000 2,883,000,000 2,760,919,000 2,470,750,000 2,325,775,000 2,120,633,000 2,083,630,000 1,929,337,000 2,120,909,000 1,948,422,000 1,811,045,000 1,771,092,000 1,665,354,000 1,744,444,000 1,438,023,000 1,463,727,000 1,368,866,000 1,290,878,000 1,336,763,000 1,234,899,000 1,224,755,000 1,261,886,000 1,240,874,000 1,117,017,000 968,855,000 958,403,000 1,005,985,000 951,579,000 943,520,000 936,683,000 943,438,000 910,264,000 903,651,000 907,152,000 859,780,000 839,366,000 795,000,000 758,816,000 752,770,000 748,691,000 726,656,000 680,312,000 682,049,000 642,879,000 633,695,000 627,409,000 623,011,000 669,917,000 734,385,000 699,258,000 700,564,000 733,031,000 705,675,000 708,234,000 745,493,000  792,981,000 747,775,000 739,892,000 697,068,000 735,408,000 723,399,000 508,856,000 
      net investment income
    408,000,000 434,000,000 408,000,000 405,000,000 378,000,000 405,000,000 399,000,000 364,000,000 327,000,000 313,000,000 269,000,000 242,000,000 199,000,000 181,079,000 128,640,000 106,392,000 80,436,000 90,454,000 88,195,000 111,613,000 98,856,000 114,458,000 128,512,000 131,485,000 145,153,000 161,488,000 155,038,000 156,949,000 144,024,000 135,668,000 126,724,000 125,415,000 116,459,000 111,124,000 117,874,000 91,051,000 93,618,000 88,338,000 93,735,000 95,900,000 86,233,000 86,963,000 78,994,000 80,105,000 72,990,000 66,994,000 67,095,000 66,083,000 68,369,000 65,672,000 73,221,000 73,608,000 74,297,000 82,753,000 86,671,000 88,307,000 90,768,000 90,537,000 92,972,000 100,213,000 100,485,000 95,882,000 117,022,000 117,120,000 122,193,000 112,689,000  70,056,000 59,270,000 53,660,000 49,916,000 40,752,000 32,811,000 19,772,000 
      net realized gains
    -87,000,000 22,000,000 210,000,000 229,000,000 3,000,000 -161,000,000 169,000,000 122,000,000 67,000,000 189,000,000 -248,000,000 -123,000,000 17,000,000 79,932,000 -183,673,000 -266,579,000 -292,414,000 59,517,000 -25,040,000 202,907,000 142,461,000 353,333,000 280,499,000 556,588,000 -366,960,000 62,518,000 120,806,000 141,565,000 -51,705,000 -76,611,000 -110,998,000 26,978,000 66,275,000 21,735,000 34,153,000 -93,061,000 125,105,000 68,218,000 37,324,000 -143,767,000 -89,698,000 -35,725,000 83,348,000 18,515,000 54,144,000 19,697,000 9,048,000 -6,022,000 12,652,000 58,340,000 60,391,000 34,867,000 44,121,000 30,199,000 45,210,000 20,695,000 68,828,000 62,114,000 47,782,000 70,638,000     35,975,000     2,105,000 461,000 13,503,000   
      other underwriting income
    59,000,000 52,000,000 50,000,000 62,000,000 53,000,000 6,000,000 5,000,000 3,000,000 12,000,000 10,000,000 5,000,000 6,000,000 10,000,000 1,283,000 3,077,000 2,970,000 5,897,000 3,160,000 7,274,000 5,529,000 6,110,000 7,852,000 5,413,000 6,667,000 6,852,000 3,326,000 5,953,000 8,825,000 5,823,000 3,874,000 5,349,000 14,734,000 6,064,000 4,822,000 4,633,000 18,922,000 7,980,000 25,224,000 5,047,000 8,621,000 7,623,000 7,717,000 11,536,000 1,702,000 2,033,000 1,582,000                             
      equity in net income of investments accounted for using the equity method
    160,000,000 155,000,000 134,000,000 162,000,000 53,000,000                                                                      
      other income
    -5,000,000 16,000,000 22,000,000 18,000,000 -2,000,000 12,000,000 8,000,000 8,000,000 14,000,000 17,000,000 -4,000,000 3,000,000 11,000,000 8,321,000 -13,684,000 -11,777,000 -9,025,000 9,093,000 -3,960,000 6,852,000 -1,741,000 10,468,000 919,000 -3,140,000 8,548,000 1,338,000 1,129,000 1,083,000 -726,000 3,113,000 74,000 547,000 -342,000 -1,994,000 -782,000 -368,000 -400,000 -7,000 -25,000 -451,000 -265,000 2,205,000 -1,888,000 -7,815,000 4,850,000 -2,104,000 -3,288,000 624,000 834,000 1,244,000  695,000  2,432,000  4,567,000 1,840,000 4,528,000 5,978,000 5,687,000 4,950,000 3,951,000 3,067,000 4,968,000 4,036,000 604,000      95,000  587,000 
      total revenues
    4,521,000,000 4,934,000,000 5,109,000,000 5,213,000,000 4,673,000,000 4,548,000,000 4,722,000,000 4,229,000,000 3,941,000,000 3,975,000,000 3,329,000,000 3,162,000,000 3,168,000,000 3,071,885,000 2,386,249,000 2,214,842,000 1,941,832,000 2,312,986,000 2,101,204,000 2,569,996,000 2,265,794,000 2,386,442,000 2,313,170,000 2,291,835,000 1,533,828,000 1,682,660,000 1,779,140,000 1,722,846,000 1,403,784,000 1,410,809,000 1,283,955,000 1,421,108,000 1,479,554,000 1,407,537,000 1,319,176,000 988,227,000 1,197,501,000 1,191,152,000 1,086,676,000 902,004,000 932,590,000 1,019,652,000 1,082,344,000 992,531,000 1,035,660,000 946,231,000 923,078,000 861,148,000 851,790,000 890,141,000 904,799,000 842,468,000 815,008,000 764,993,000 775,568,000 775,072,000 797,352,000 776,315,000 844,887,000 976,225,000 848,744,000 750,443,000 746,799,000 835,915,000 849,193,000 859,774,000  818,297,000 798,993,000 796,682,000 753,557,000 795,611,000 753,808,000 538,038,000 
      yoy
    -3.25% 8.49% 8.20% 23.27% 18.57% 14.42% 41.84% 33.74% 24.40% 29.40% 39.51% 42.76% 63.14% 32.81% 13.57% -13.82% -14.30% -3.08% -9.16% 12.14% 47.72% 41.83% 30.02% 33.03% 9.26% 19.27% 38.57% 21.23% -5.12% 0.23% -2.67% 43.80% 23.55% 18.17% 21.40% 9.56% 28.41% 16.82% 0.40% -9.12% -9.95% 7.76% 17.25% 15.26% 21.59% 6.30% 2.02% 2.22% 4.51% 16.36% 16.66% 8.70% 2.21% -1.46% -8.20% -20.61% -6.06% 3.45% 13.13% 16.79% -0.05% -12.72%  2.15% 6.28% 7.92%  2.85% 5.99% 48.07%     
      qoq
    -8.37% -3.43% -2.00% 11.56% 2.75% -3.68% 11.66% 7.31% -0.86% 19.41% 5.28% -0.19% 3.13% 28.73% 7.74% 14.06% -16.05% 10.08% -18.24% 13.43% -5.06% 3.17% 0.93% 49.42% -8.85% -5.42% 3.27% 22.73% -0.50% 9.88% -9.65% -3.95% 5.12% 6.70% 33.49% -17.48% 0.53% 9.61% 20.47% -3.28% -8.54% -5.79% 9.05% -4.16% 9.45% 2.51% 7.19% 1.10% -4.31% -1.62% 7.40% 3.37% 6.54% -1.36% 0.06% -2.79% 2.71% -8.12% -13.45% 15.02% 13.10% 0.49% -10.66% -1.56% -1.23%   2.42% 0.29% 5.72% -5.29% 5.55% 40.10%  
      expenses
                                                                              
      losses and loss adjustment expenses
    2,089,000,000 2,280,000,000 2,200,000,000 2,303,000,000 2,587,000,000 2,384,000,000 2,403,000,000 1,827,000,000 1,728,000,000 1,637,000,000 1,647,000,000 1,491,000,000 1,471,000,000 1,241,330,000 1,682,696,000 1,102,656,000 1,000,835,000 995,853,000 1,226,019,000 1,159,831,000 1,203,100,000 1,127,385,000 1,216,273,000 1,230,522,000 1,115,419,000 802,455,000 767,543,000 718,532,000 699,420,000 726,153,000 636,860,000 678,875,000 1,046,141,000 689,860,000 552,570,000 553,875,000 524,183,000 584,592,000 522,949,000 506,020,000 531,741,000 519,426,000 493,716,000 501,673,000 485,518,000 436,240,000 434,323,000 427,045,000 418,653,000 399,403,000 443,871,000 399,693,000 395,207,000 423,984,000 431,622,000 493,880,000 359,193,000 363,145,000 428,051,000 444,914,000 398,858,000 400,542,000 548,886,000 404,625,000 404,417,000 420,061,000  460,271,000 672,224,000 443,918,000 425,536,000 561,602,000 436,895,000 331,333,000 
      acquisition expenses
    730,000,000 779,000,000 786,000,000 824,000,000 764,000,000 730,000,000 681,000,000 633,000,000 607,000,000 643,000,000 575,000,000 561,000,000 533,000,000 500,515,000 447,587,000 413,319,000 378,159,000 357,539,000 306,015,000 335,143,000 304,481,000 254,828,000 247,942,000 254,789,000 247,283,000 211,120,000 210,089,000 197,848,000 201,602,000 202,838,000 191,376,000 208,879,000 193,854,000 190,436,000 182,289,000 168,426,000 163,861,000 175,281,000 170,465,000 171,409,000 171,566,000 175,425,000 163,076,000 163,547,000 158,158,000 160,342,000 157,521,000 147,313,000 131,677,000 127,592,000 128,065,000 128,289,000 118,962,000 120,205,000 110,639,000 108,754,000 111,279,000 107,475,000 117,624,000 122,739,000 123,814,000 126,458,000 133,413,000 119,226,000 114,639,000 120,128,000  162,446,000 142,803,000 148,538,000 126,133,000 137,480,000 136,889,000 95,620,000 
      other operating expenses
    498,000,000 421,000,000 478,000,000 454,000,000 473,000,000 410,000,000 353,000,000 346,000,000 363,000,000 359,000,000 310,000,000 313,000,000 319,000,000 286,093,000 274,747,000 277,392,000 289,943,000 261,787,000 230,832,000 244,943,000 261,033,000 215,697,000 215,686,000 209,249,000 234,544,000 196,512,000 198,914,000 201,163,000 161,098,000 176,181,000 175,015,000 169,624,000 170,127,000 169,981,000 174,719,000 165,609,000 155,557,000 159,590,000 161,652,000 173,812,000 156,959,000 168,608,000 157,882,000 149,480,000 156,350,000 145,799,000 135,069,000 118,070,000 127,408,000 120,183,000 113,429,000 117,701,000 106,472,000 105,998,000 110,563,000 102,420,000 103,121,000 101,533,000 106,806,000 99,743,000 99,294,000 87,116,000 95,652,000 102,578,000 97,187,000 90,813,000  77,454,000 71,960,000 74,232,000 73,401,000 70,331,000 69,155,000 40,995,000 
      corporate expenses
    49,000,000 -24,000,000 49,000,000 47,000,000 60,000,000 57,000,000 49,000,000 41,000,000 53,000,000 31,000,000 20,000,000 21,000,000 30,000,000 17,820,000 17,710,000 27,620,000 32,332,000 18,150,000 19,672,000 15,951,000 25,384,000 25,335,000 17,937,000 17,920,000 20,796,000 17,061,000 18,251,000 17,962,000 14,335,000 22,512,000 15,312,000 13,986,000 17,098,000 24,876,000 27,792,000 36,678,000 18,485,000 17,200,000                                     
      amortization of intangible assets
    30,000,000 47,000,000 49,000,000 48,000,000 49,000,000 99,000,000 88,000,000 27,000,000 21,000,000 24,000,000 24,000,000 24,000,000 23,000,000 25,722,000 26,104,000 27,207,000 27,167,000 33,132,000 20,135,000 15,286,000 14,402,000 19,196,000 16,715,000 16,489,000 16,631,000 20,003,000 19,794,000 20,417,000 26,315,000 26,472,000 26,736,000 31,836,000 31,824,000 30,824,000 31,294,000                                        
      interest expense
    37,000,000 38,000,000 37,000,000 38,000,000 35,000,000 37,000,000 35,000,000 35,000,000 34,000,000 34,000,000 34,000,000 33,000,000 32,000,000 31,700,000 33,063,000 32,795,000 32,708,000 32,248,000 33,176,000 35,700,000 38,346,000 38,419,000 41,343,000 31,139,000 32,555,000 31,328,000 29,280,000 29,065,000 29,730,000 30,344,000 30,636,000 30,496,000 29,510,000 28,749,000 28,676,000 18,539,000 15,943,000 15,663,000 16,107,000 15,827,000 13,300,000 4,011,000 12,736,000 4,152,000 14,334,000 14,404,000 9,373,000 5,937,000 5,852,000 5,898,000 7,378,000 7,439,000 7,521,000 8,125,000 7,758,000 7,721,000 7,371,000 7,916,000 7,260,000 6,001,000 5,712,000 5,712,000 6,241,000 5,788,000 5,524,000 5,523,000  5,607,000 5,632,000 5,629,000 5,636,000 6,334,000 4,642,000  
      net foreign exchange losses
    -21,000,000 6,000,000 7,000,000 88,000,000 27,000,000 -106,000,000 63,000,000 -1,000,000                       19,721,000 28,807,000 28,028,000 39,543,000 19,404,000    23,566,000   19,583,000   2,294,000 6,563,000 9,848,000 40,562,000  -24,264,000 16,959,000  20,688,000  18,375,000 36,912,000         23,587,000 9,742,000      1,787,000   
      total expenses
    3,412,000,000 3,547,000,000 3,606,000,000 3,802,000,000 3,995,000,000 3,611,000,000 3,672,000,000 2,908,000,000 2,775,000,000 2,787,000,000 2,588,000,000 2,448,000,000 2,426,000,000 2,184,404,000 2,391,398,000 1,793,214,000 1,757,299,000 1,695,546,000 1,799,771,000 1,824,629,000 1,826,683,000 1,753,069,000 1,800,781,000 1,799,319,000 1,594,557,000 1,245,355,000 1,248,823,000 1,181,462,000 1,121,662,000 1,130,794,000 1,095,656,000 1,162,503,000 1,516,582,000 1,174,269,000 1,016,744,000 904,951,000 880,650,000 927,664,000 894,739,000 862,548,000 858,886,000 887,053,000 760,909,000 762,821,000 816,654,000 763,348,000 746,134,000 738,927,000 669,779,000 628,812,000 709,702,000 621,433,000 648,850,000 598,272,000 678,957,000 749,687,000 646,121,000 531,444,000 621,140,000 693,152,000 681,336,000 594,623,000 715,797,000 631,919,000 645,354,000 646,267,000  705,053,000 885,926,000 662,872,000 628,243,000 779,864,000 644,834,000 469,685,000 
      income before income taxes and income from operating affiliates
    1,109,000,000 1,387,000,000 1,503,000,000 1,411,000,000 678,000,000 937,000,000 1,050,000,000 1,321,000,000 1,166,000,000 1,188,000,000 741,000,000 714,000,000 742,000,000 887,481,000 -5,149,000 421,628,000 184,533,000 617,440,000 301,433,000 745,367,000 439,111,000                                                      
      income tax benefit
    -98,000,000 -137,500,000 -215,000,000 -214,000,000 -121,000,000 -74,000,000 -98,000,000 -97,000,000 -101,000,000 -670,000,000 -72,000,000 -67,000,000 -64,000,000 -4,760,500 14,900,000                                    5,441,000 767,000 1,902,000       2,205,000               
      income from operating affiliates
    36,000,000 61,000,000 62,000,000 40,000,000 17,000,000 64,000,000 36,000,000 45,000,000 55,000,000 69,000,000 54,000,000 22,000,000 39,000,000 36,226,000 8,507,000 4,640,000 24,518,000 40,641,000 124,119,000 24,476,000 75,457,000                                                      
      net income available to arch
    1,047,000,000 1,238,000,000 1,350,000,000 1,237,000,000 574,000,000 935,000,000 988,000,000 1,269,000,000 1,120,000,000 2,334,000,000 723,000,000 671,000,000 715,000,000 859,688,000 17,101,000 404,344,000 195,800,000 623,265,000 419,942,000 675,486,000 438,156,000 543,544,000 419,039,000 298,821,000 144,117,000 392,453,000 468,954,000 448,528,000 227,408,000 243,646,000 150,423,000 214,640,000 -33,656,000 185,167,000 253,127,000 74,013,000 252,872,000 211,055,000 154,798,000 58,579,000 80,033,000 115,790,000 283,336,000 228,675,000 208,016,000 182,500,000                             
      preferred dividends
    -10,000,000 -10,000,000 -10,000,000 -10,000,000 -10,000,000 -10,000,000 -10,000,000 -10,000,000 -10,000,000 -10,000,000 -10,000,000 -10,000,000 -10,000,000 -10,184,000 -10,184,000 -10,184,000 -10,184,000 -10,184,000 -16,090,000 -11,666,000 -10,403,000 -10,403,000 -10,403,000 -10,403,000 -10,403,000 -10,403,000 -10,403,000 -10,403,000 -10,402,000 -10,403,000 -10,437,000 -11,105,000 -12,369,000 -11,349,000 -11,218,000 -11,617,000 -5,484,000 -5,485,000 -5,484,000 -5,485,000 -5,484,000 -5,485,000 -5,484,000 -5,484,000 -5,485,000 5,484,000 5,485,000 5,484,000 5,485,000 5,484,000 5,484,000 7,649,000 6,461,000 6,461,000 6,461,000 6,461,000 6,461,000 6,461,000 6,461,000 6,461,000 6,461,000 6,461,000 6,461,000 6,461,000 6,461,000 6,461,000         
      net income available to arch common shareholders
    1,037,000,000 1,228,000,000 1,340,000,000 1,227,000,000 564,000,000 925,000,000 978,000,000 1,259,000,000 1,110,000,000 2,324,000,000 713,000,000 661,000,000 705,000,000 849,504,000 6,917,000 394,160,000 185,616,000 613,081,000 388,751,000 663,820,000 427,753,000 533,141,000 408,636,000 288,418,000 133,714,000 382,050,000 458,551,000 438,125,000 217,006,000 233,243,000 137,276,000 203,535,000 -52,760,000 173,818,000 241,909,000 62,396,000 247,388,000 205,570,000 149,314,000 53,094,000 74,549,000 110,305,000 277,852,000 223,191,000                               
      net income per common share and common share equivalent
                                                                              
      basic
    2,940,000 3,400,000 3,630,000 3,300,000 1,510,000 2,480,000 2,620,000 3,380,000 2,990,000 6,300,000 1,930,000 1,790,000 1,920,000 2,310 20 1,070 500 1,600 1,000 1,670 1,070 1,320 1,010 720 330 950 1,140 1,090 540 580 1,010 1,510 -390 1,290 1,800 510 2,050 1,700 1,240 450 620 910 2,240 1,690 1,530 1,340 1,190 830 1,310 1,920 1,360 1,580 1,180 1,240 700 430 2,890 4,650 3,970 4,560 2,520 2,320 440 3,050 2,900 2,690  1.125 -2.48 3.65 3.37  3.26 2.36 
      diluted
    2,880,000 3,340,000 3,560,000 3,230,000 1,480,000 2,410,000 2,560,000 3,300,000 2,920,000 6,120,000 1,880,000 1,750,000 1,870,000 2,250 20 1,040 480 1,570 980 1,630 1,050 1,300 1,000 710 320 920 1,120 1,070 530 560 990 1,460 -390 1,250 1,740 490 1,980 1,650 1,200 430 600 880 2,160 1,640 1,480 1,300 1,150 800 1,260 1,850 1,330 1,540 1,140 1,190 670 410 2,770 4,450 3,790 4,390 2,430 2,240 420 2,920 2,780 2,590  0.523 -2.48 1.69 1.57  1.42 0.91 
      weighted-average common shares and common share equivalents outstanding
                                                                              
      basic
    353,200,000 368,400,000 369,000,000 372,200,000 372,900,000 372,500,000 373,200,000 372,700,000 370,900,000 368,700,000 369,200,000 368,700,000 367,300,000 368,612,197,000 365,190,527,000 369,241,193,000 374,243,812,000 391,748,715,000 389,274,220,000 397,743,402,000 400,807,895,000 403,062,179,000 402,850,485,000 402,503,687,000 403,892,161,000 402,564,121,000 401,482,784,000 400,184,404,000 402,939,092,000 404,800,421,000 135,846,576,000 134,712,788,000 134,885,451,000 134,486,664,000 134,034,927,000 120,792,114,000 120,938,916,000 120,599,060,000 120,428,179,000 121,786,127,000 120,567,410,000 121,719,214,000 124,209,276,000 131,945,962,000 132,650,634,000 131,857,910,000 131,355,392,000 131,495,296,000 131,377,274,000 130,907,902,000 135,067,360,000 134,529,129,000 133,954,623,000 131,560,851,000 131,232,269,000 44,499,747,000 48,997,791,000 50,987,540,000 53,039,026,000 60,156,219,000 60,417,391,000 60,313,550,000 60,109,932,000 62,995,550,000 65,295,516,000 73,931,996,000   34,750,770 34,563,565   32,023,865  
      diluted
    359,700,000 375,900,000 376,100,000 379,900,000 381,900,000 381,800,000 382,300,000 381,600,000 380,500,000 378,800,000 379,400,000 378,400,000 377,600,000 377,609,767,000 373,727,277,000 377,952,988,000 384,194,363,000 400,345,936,000 397,903,347,000 406,485,994,000 409,223,253,000 410,259,455,000 409,194,657,000 408,119,681,000 414,033,570,000 413,180,201,000 410,899,483,000 408,971,029,000 411,721,214,000 413,111,205,000 139,297,934,000 139,261,675,000 134,885,451,000 139,244,646,000 139,047,672,000 124,717,493,000 124,931,653,000 124,365,596,000 124,496,496,000 126,038,743,000 125,011,773,000 125,885,420,000 128,451,054,000 135,876,605,000 136,889,944,000 136,562,717,000 135,777,183,000 136,034,413,000 135,849,050,000 135,409,288,000 138,696,934,000 138,211,736,000 137,814,906,000 137,140,929,000 137,975,599,000 46,820,172,000 51,182,009,000 53,265,303,000 55,513,827,000 62,533,816,000 62,626,317,000 62,559,969,000 62,830,910,000 65,748,119,000 68,019,413,000 76,640,686,000   34,750,770 74,412,553   73,500,041  
      equity in net income of investment funds accounted for using the equity method
         109,250,000 171,000,000 167,000,000 99,000,000 44,000,000 59,000,000 69,000,000 48,000,000 18,876,250 -18,861,000 58,061,000 36,305,000 74,817,500 105,398,000 122,186,000 71,686,000 14,351,750 126,735,000 -65,119,000 -4,209,000 17,130,000 32,536,000 46,867,000 15,982,000 8,472,000 28,069,000 30,402,000 31,090,000 32,706,000 48,088,000 8,013,500 16,662,000 8,737,000 6,655,000 4,984,500 -2,118,000 16,167,000 5,889,000 4,966,000 9,240,000 3,253,000 7,607,250 5,665,000 10,941,000 13,823,000 24,330,000 7,787,000 24,826,000  5,973,000 29,673,000 9,708,000  29,050,000 69,119,000 75,890,000   19,583,000 -22,313,000          
      net income
           1,269,000,000 1,120,000,000 2,333,000,000 723,000,000 669,000,000 717,000,000 862,788,000 18,258,000 403,945,000 197,432,000 623,675,000 421,415,000 718,664,000 475,708,000 599,314,000 488,682,000 466,389,000 -88,674,000 399,189,000 485,845,000 495,498,000 248,766,000 256,347,000 166,384,000 201,792,000 -45,217,000 199,099,000 274,035,000 95,574,000 303,620,000 249,357,000 175,627,000 28,006,000 64,000,000 125,819,000 308,757,000 223,264,000 211,717,000 179,145,000 161,490,000 114,825,000 176,940,000 256,476,000 189,656,000 220,268,000 164,256,000 168,988,000 98,342,000 25,756,000 148,031,000 243,451,000 216,994,000 280,868,000 158,590,000 146,330,000 32,851,000 198,743,000 195,883,000 205,012,000  100,893,000 -86,291,000 125,992,000 115,892,000 18,029,000 104,282,000 61,784,000 
      yoy
           89.69% 56.21% 170.40% 3859.91% 65.62% 263.16% 38.34% -95.67% -43.79% -58.50% 4.06% -13.76% 54.09% -636.47% 50.13% 0.58% -5.87% -135.65% 55.72% 192.00% 145.55% -650.16% 28.75% -39.28% 111.14% -114.89% -20.16% 56.03% 241.26% 374.41% 98.19% -43.12% -87.46% -69.77% -29.77% 91.19% 94.44% 19.65% -30.15% -14.85% -47.87% 7.72% 51.77% 92.85% 755.21% 10.96% -30.59% -54.68% -90.83% -6.66% 66.37% 560.54% 41.32% -19.04% -28.62%  96.98% -327.00% 62.72%  459.62% -182.75% 103.92%     
      qoq
           13.30% -51.99% 222.68% 8.07% -6.69% -16.90% 4625.53% -95.48% 104.60% -68.34% 48.00% -41.36% 51.07% -20.62% 22.64% 4.78% -625.96% -122.21% -17.84% -1.95% 99.18% -2.96% 54.07% -17.55% -546.27% -122.71% -27.35% 186.73% -68.52% 21.76% 41.98% 527.10% -56.24% -49.13% -59.25% 38.29% 5.45% 18.18% 10.93% 40.64% -35.11% -31.01% 35.23% -13.90% 34.10% -2.80% 71.84% 281.82% -82.60% -39.19% 12.19% -22.74% 77.10% 8.38% 345.44% -83.47% 1.46% -4.45%   -216.92% -168.49% 8.72% 542.81% -82.71% 68.78%  
      net income margin %
    0% 0% 0% 0% 0% 0% 0% 30.01% 28.42% 58.69% 21.72% 21.16% 22.63% 28.09% 0.77% 18.24% 10.17% 26.96% 20.06% 27.96% 21.00% 25.11% 21.13% 20.35% -5.78% 23.72% 27.31% 28.76% 17.72% 18.17% 12.96% 14.20% -3.06% 14.15% 20.77% 9.67% 25.35% 20.93% 16.16% 3.10% 6.86% 12.34% 28.53% 22.49% 20.44% 18.93% 17.49% 13.33% 20.77% 28.81% 20.96% 26.15% 20.15% 22.09% 12.68% 3.32% 18.57% 31.36% 25.68% 28.77% 18.69% 19.50% 4.40% 23.78% 23.07% 23.84%  12.33% -10.80% 15.81% 15.38% 2.27% 13.83% 11.48% 
      net loss attributable to noncontrolling interests
                                  -15,961,000   -13,932,000            3,355,000                             
      net foreign exchange (gains) losses
            -31,000,000 250,000 -22,000,000 5,000,000 18,000,000 -45,532,250 -90,509,000 -87,775,000 -3,845,000 -9,591,500 -36,078,000 17,775,000 -20,063,000 2,856,250 44,885,000 39,211,000 -72,671,000 -33,124,000 4,952,000 -3,525,000 -10,838,000 -53,706,000      -38,176,000 2,621,000 -24,662,000     -66,501,000 -56,031,000             65,157,000   19,755,000 53,658,000              
      net (income) loss attributable to noncontrolling interests
               2,000,000 -2,000,000 -3,100,000 -1,157,000 399,000 -1,632,000 -410,000 -1,473,000 -43,178,000 -37,552,000 -55,770,000 -69,643,000 -167,568,000 232,791,000 -6,736,000 -16,891,000 -46,970,000 -21,358,000 -12,701,000  12,848,000 11,561,000  -20,908,000 -21,561,000 -50,748,000 -38,302,000 -20,829,000                                    
      loss on redemption of preferred shares
                      -15,101,000            -2,710,000  -6,735,000                                          
      income tax expense
                   -22,323,000 -11,619,000 222,758,000 -4,137,000 -51,179,000 -38,860,000 189,617,000 -23,707,000 -26,127,000 -27,945,000 -38,116,000 -44,472,000 -45,886,000 -33,356,000 -23,668,000 -21,915,000 198,323,000 -8,189,000 -34,169,000 -28,397,000 75,046,000 -13,231,000 -14,131,000 -16,310,000 69,774,000 -9,704,000 -6,780,000 -12,678,000 -6,446,000 -7,289,000 3,738,000 4,330,000 7,396,000 5,071,000 4,853,000       3,200,000 1,420,000 6,753,000  8,818,000 9,490,000  5,253,000 7,956,000 8,495,000  12,351,000  7,818,000 9,422,000  4,692,000 6,569,000 
      net premiums written
                         1,419,925,250 1,874,144,000 1,668,311,000 2,137,246,000 1,613,457,000 1,444,898,000 1,525,259,000 1,333,553,000 1,298,896,000 1,412,544,000 1,111,015,000 1,325,403,000 1,248,695,000 1,276,260,000 872,315,000 1,014,278,000 1,023,563,000 1,121,235,000 834,984,000 971,972,000 943,580,000 1,066,995,000 959,539,000 971,928,000 1,064,990,000 748,921,000 839,135,000 810,535,000 952,776,000 755,249,000 820,233,000 863,611,000 691,381,000 706,543,000 764,278,000 636,117,000 624,258,000 767,754,000 727,308,000 693,854,000 822,863,000 692,692,000 686,118,000 811,342,000 871,745,000  827,939,000 787,304,000 723,728,000 799,801,000 743,229,000 677,646,000 560,002,000 
      change in unearned premiums
                         -124,702,750 -103,052,000 -2,957,000 -392,802,000 -175,434,000 18,829,000 -156,393,000 -42,675,000 37,867,000 -177,645,000 113,740,000 -63,517,000 -7,821,000 -159,243,000 96,540,000 -55,875,000 -17,578,000 -169,656,000 108,536,000 -35,289,000 -142,000 -156,731,000 -55,888,000 -64,776,000 -205,210,000 90,445,000 -44,135,000 -51,719,000 -200,006,000                         
      income before income taxes
                         633,373,000 512,389,000 492,516,000 -60,729,000 437,305,000 530,317,000 541,384,000 282,122,000 280,015,000 188,299,000 258,605,000 -37,028,000 233,268,000 302,432,000 83,276,000 316,851,000 263,488,000 191,937,000 39,456,000 73,704,000 132,599,000 321,435,000 229,710,000 219,006,000 182,883,000 176,944,000 122,221,000 182,011,000 261,329,000 195,097,000 221,035,000 166,158,000 166,721,000 96,611,000 25,385,000 151,231,000 244,871,000 223,747,000 283,073,000 167,408,000 155,820,000 31,002,000 203,996,000 203,839,000 213,507,000  43,047,750  133,810,000 125,314,000  108,974,000 68,353,000 
      other-than-temporary impairment losses
                             -1,163,000 -49,000 -1,309,000 -492,000 -470,000 -162,000 -1,723,000 -1,878,000 -1,730,000 -1,807,000 -13,795,000 -3,867,000 -5,395,000 -7,737,000 -8,878,000 -8,901,000 -1,126,000 -7,247,000 -8,593,000 -14,749,000 -2,971,000 -88,000 -901,000 -724,000 -2,248,000                         
      less investment impairments recognized in other comprehensive income, before taxes
                                       37,500  52,000 98,000 1,123,500 3,033,000 13,000 1,448,000    43,750 173,000  2,000 265,000 503,000 8,000 2,441,000 285,000 578,000 604,000 308,000 730,000 3,217,000               
      net impairment losses recognized in earnings
                             -1,163,000 -49,000 -1,309,000 -492,000 -470,000 -162,000 -1,723,000 -1,878,000 -1,730,000 -1,807,000 -13,593,000 -3,867,000 -5,343,000 -7,639,000 -7,336,000 -5,868,000 -1,113,000 -5,799,000 -8,593,000 -14,749,000 -2,971,000 -88,000 -728,000 -724,000 -2,246,000                         
      net income per common share
                                                                              
      basic
    2,940,000 3,400,000 3,630,000 3,300,000 1,510,000 2,480,000 2,620,000 3,380,000 2,990,000 6,300,000 1,930,000 1,790,000 1,920,000 2,310 20 1,070 500 1,600 1,000 1,670 1,070 1,320 1,010 720 330 950 1,140 1,090 540 580 1,010 1,510 -390 1,290 1,800 510 2,050 1,700 1,240 450 620 910 2,240 1,690 1,530 1,340 1,190 830 1,310 1,920 1,360 1,580 1,180 1,240 700 430 2,890 4,650 3,970 4,560 2,520 2,320 440 3,050 2,900 2,690  1.125 -2.48 3.65 3.37  3.26 2.36 
      diluted
    2,880,000 3,340,000 3,560,000 3,230,000 1,480,000 2,410,000 2,560,000 3,300,000 2,920,000 6,120,000 1,880,000 1,750,000 1,870,000 2,250 20 1,040 480 1,570 980 1,630 1,050 1,300 1,000 710 320 920 1,120 1,070 530 560 990 1,460 -390 1,250 1,740 490 1,980 1,650 1,200 430 600 880 2,160 1,640 1,480 1,300 1,150 800 1,260 1,850 1,330 1,540 1,140 1,190 670 410 2,770 4,450 3,790 4,390 2,430 2,240 420 2,920 2,780 2,590  0.523 -2.48 1.69 1.57  1.42 0.91 
      net foreign exchange gains
                                           -15,399,500 -14,680,000        -13,811,000                     -10,198,000     
      amounts attributable to noncontrolling interests
                                           -4,854,250 16,033,000 -10,029,000 -25,421,000 5,411,000 -3,701,000                              
      net income available to common shareholders
                                                202,531,000 177,016,000 156,005,000 109,341,000 171,455,000 250,992,000 184,172,000 212,619,000 157,795,000 162,527,000 91,881,000 19,295,000 141,570,000 236,990,000 210,533,000 274,407,000 152,129,000 139,869,000 26,390,000 192,282,000 189,422,000 198,551,000         
      fee income
                                                  491,500 526,000 902,000 538,000 1,077,000 806,000 543,000 848,000 784,000 815,000 874,000 883,000 794,000 826,000 817,000 925,000 944,000 1,238,000 1,068,000 1,969,000  991,000 2,239,000 1,025,000 6,112,000 5,853,000 4,304,000 4,934,000 
      loss on repurchase of preferred shares
                                                                              
      income tax (benefit) expense
                                                                              
      increase in unearned premiums
                                                                    -103,108,000          
      decrease (increase) in unearned premiums
                                                               7,077,000 5,404,000  40,339,000 19,557,000           
      total other-than-temporary impairment losses
                                                                              
      portion of loss recognized in other comprehensive income, before taxes
                                                                 56,855,000             
      net realized losses
                                                                              
      non-cash compensation
                                                                       686,000 641,000 753,000 774,000 2,330,000 2,756,000 3,498,000 
      net income per share
                                                                              
      basic
    2,940,000 3,400,000 3,630,000 3,300,000 1,510,000 2,480,000 2,620,000 3,380,000 2,990,000 6,300,000 1,930,000 1,790,000 1,920,000 2,310 20 1,070 500 1,600 1,000 1,670 1,070 1,320 1,010 720 330 950 1,140 1,090 540 580 1,010 1,510 -390 1,290 1,800 510 2,050 1,700 1,240 450 620 910 2,240 1,690 1,530 1,340 1,190 830 1,310 1,920 1,360 1,580 1,180 1,240 700 430 2,890 4,650 3,970 4,560 2,520 2,320 440 3,050 2,900 2,690  1.125 -2.48 3.65 3.37  3.26 2.36 
      diluted
    2,880,000 3,340,000 3,560,000 3,230,000 1,480,000 2,410,000 2,560,000 3,300,000 2,920,000 6,120,000 1,880,000 1,750,000 1,870,000 2,250 20 1,040 480 1,570 980 1,630 1,050 1,300 1,000 710 320 920 1,120 1,070 530 560 990 1,460 -390 1,250 1,740 490 1,980 1,650 1,200 430 600 880 2,160 1,640 1,480 1,300 1,150 800 1,260 1,850 1,330 1,540 1,140 1,190 670 410 2,770 4,450 3,790 4,390 2,430 2,240 420 2,920 2,780 2,590  0.523 -2.48 1.69 1.57  1.42 0.91 
      weighted-average shares outstanding
                                                                              
      basic
    353,200,000 368,400,000 369,000,000 372,200,000 372,900,000 372,500,000 373,200,000 372,700,000 370,900,000 368,700,000 369,200,000 368,700,000 367,300,000 368,612,197,000 365,190,527,000 369,241,193,000 374,243,812,000 391,748,715,000 389,274,220,000 397,743,402,000 400,807,895,000 403,062,179,000 402,850,485,000 402,503,687,000 403,892,161,000 402,564,121,000 401,482,784,000 400,184,404,000 402,939,092,000 404,800,421,000 135,846,576,000 134,712,788,000 134,885,451,000 134,486,664,000 134,034,927,000 120,792,114,000 120,938,916,000 120,599,060,000 120,428,179,000 121,786,127,000 120,567,410,000 121,719,214,000 124,209,276,000 131,945,962,000 132,650,634,000 131,857,910,000 131,355,392,000 131,495,296,000 131,377,274,000 130,907,902,000 135,067,360,000 134,529,129,000 133,954,623,000 131,560,851,000 131,232,269,000 44,499,747,000 48,997,791,000 50,987,540,000 53,039,026,000 60,156,219,000 60,417,391,000 60,313,550,000 60,109,932,000 62,995,550,000 65,295,516,000 73,931,996,000   34,750,770 34,563,565   32,023,865  
      diluted
    359,700,000 375,900,000 376,100,000 379,900,000 381,900,000 381,800,000 382,300,000 381,600,000 380,500,000 378,800,000 379,400,000 378,400,000 377,600,000 377,609,767,000 373,727,277,000 377,952,988,000 384,194,363,000 400,345,936,000 397,903,347,000 406,485,994,000 409,223,253,000 410,259,455,000 409,194,657,000 408,119,681,000 414,033,570,000 413,180,201,000 410,899,483,000 408,971,029,000 411,721,214,000 413,111,205,000 139,297,934,000 139,261,675,000 134,885,451,000 139,244,646,000 139,047,672,000 124,717,493,000 124,931,653,000 124,365,596,000 124,496,496,000 126,038,743,000 125,011,773,000 125,885,420,000 128,451,054,000 135,876,605,000 136,889,944,000 136,562,717,000 135,777,183,000 136,034,413,000 135,849,050,000 135,409,288,000 138,696,934,000 138,211,736,000 137,814,906,000 137,140,929,000 137,975,599,000 46,820,172,000 51,182,009,000 53,265,303,000 55,513,827,000 62,533,816,000 62,626,317,000 62,559,969,000 62,830,910,000 65,748,119,000 68,019,413,000 76,640,686,000   34,750,770 74,412,553   73,500,041  
      decrease in unearned premiums
                                                                         16,164,000   45,753,000  
      weighted average shares outstanding
                                                                              
      basic
                                                                          34,364,818 32,985,085   
      diluted
                                                                          74,013,546 73,547,450   
      income before income taxes and extraordinary item
                                                                           15,747,000   
      income before extraordinary item
                                                                           18,029,000   
      extraordinary gain – excess of fair value of net assets acquired over cost
                                                                              
      net income per share
                                                                              
      basic:
                                                                              
      extraordinary gain
                                                                              
      diluted:
                                                                              
      net realized investment gains
                                                                             3,889,000 
      average shares outstanding
                                                                              
      basic
                                                                             26,185,445 
      diluted
                                                                             67,728,798 
    Balance Sheets:
    Quarterly
    Annual
      Unit: USD2026-03-31 2025-12-31 2025-09-30 2025-06-30 2025-03-31 2024-12-31 2024-09-30 2024-06-30 2024-03-31 2023-12-31 2023-09-30 2023-06-30 2023-03-31 2022-12-31 2022-09-30 2022-06-30 2022-03-31 2021-12-31 2021-09-30 2021-06-30 2021-03-31 2020-12-31 2020-09-30 2020-06-30 2020-03-31 2019-09-30 2019-06-30 2019-03-31 2018-09-30 2018-06-30 2018-03-31 2017-12-31 2017-09-30 2017-06-30 2017-03-31 2016-12-31 2016-09-30 2016-06-30 2016-03-31 2015-12-31 2015-09-30 2015-06-30 2015-03-31 2014-06-30 2014-03-31 2013-09-30 2013-03-31 2012-03-31 2011-06-30 2011-03-31 2010-09-30 2010-06-30 2010-03-31 2009-06-30 2009-03-31 2008-09-30 2008-06-30 2008-03-31 2007-03-31 2006-12-31 2006-09-30 2006-06-30 2006-03-31 2005-12-31 2005-09-30 2005-06-30 2005-03-31 2004-09-30 2004-06-30 2003-06-30 
                                                                            
        assets
                                                                            
        investments:
                                                                            
        fixed maturities available for sale, at fair value
      32,399,000,000 32,426,000,000 31,908,000,000 30,332,000,000 28,798,000,000 27,035,000,000 28,434,000,000 25,202,000,000 23,628,000,000 23,553,000,000 22,485,000,000 21,434,000,000 20,692,000,000 19,682,789,000 18,120,727,000 17,585,029,000 17,648,853,000 17,998,109,000 16,768,363,000 18,073,779,000 18,723,035,000 18,717,825,000 18,452,888,000 17,207,731,000 16,841,571,000 16,470,523,000 15,881,732,000 15,177,312,000 14,331,641,000 14,128,989,000 14,348,941,000 13,876,003,000 13,792,903,000 13,671,011,000 13,745,932,000 13,426,577,000 11,026,929,000 11,050,464,000 10,645,257,000 10,459,353,000 10,560,635,000 9,927,603,000 10,427,810,000 10,714,532,000 9,775,730,000 9,688,345,000 9,890,425,000 9,221,145,000 9,247,002,000       7,544,831,000 7,746,296,000 7,591,695,000 6,963,359,000 6,876,548,000 6,727,113,000 5,948,595,000 5,414,156,000  5,153,953,000 6,124,248,000 5,732,566,000 5,095,952,000 4,461,137,000 2,293,223,000 
        short-term investments available for sale, at fair value
      2,638,000,000 2,625,000,000 2,351,000,000 2,788,000,000 2,477,000,000 2,784,000,000 3,341,000,000 2,297,000,000 2,142,000,000 2,063,000,000 1,682,000,000 1,702,000,000 1,553,000,000 1,331,662,000 1,940,857,000 2,227,874,000 2,332,624,000 1,734,716,000 3,069,965,000 2,248,613,000 1,269,631,000 1,924,922,000 2,039,097,000 2,277,866,000 944,531,000 751,989,000 821,961,000 706,214,000 961,799,000 1,096,798,000 967,389,000 1,469,042,000 1,646,036,000 914,356,000 803,619,000 612,005,000 1,184,408,000 853,531,000 623,844,000 587,904,000 708,428,000 875,727,000 855,032,000 977,058,000 1,484,280,000 993,375,000 943,414,000 1,112,249,000 704,495,000       863,783,000 645,587,000 631,285,000 796,682,000 957,698,000 887,187,000 973,671,000 1,052,753,000  485,157,000 176,268,000 205,217,000 138,260,000 84,031,000 244,950,000 
        equity securities, at fair value
      1,766,000,000 1,864,000,000 1,805,000,000 1,715,000,000 1,618,000,000 1,675,000,000 1,623,000,000 1,397,000,000 1,720,000,000 1,186,000,000 894,000,000 911,000,000 859,000,000 859,969,000 809,869,000 772,689,000 1,002,572,000 1,804,170,000 1,790,640,000 1,693,552,000 1,532,906,000 1,444,830,000 1,502,015,000 1,257,317,000 1,181,903,000 550,485,000 670,943,000 495,895,000 444,118,000 534,482,000 543,650,000                                        
        other investments, at fair value
      3,331,000,000  3,027,000,000 2,892,000,000 2,888,000,000  3,261,000,000 3,206,000,000 2,886,000,000  2,068,000,000 1,846,000,000 1,776,000,000  1,578,751,000 1,634,368,000 1,686,666,000                                            290,305,000 132,046,000 102,351,000        
        investments accounted for using the equity method
      6,652,000,000 6,453,000,000 6,232,000,000 6,566,000,000 6,340,000,000 5,980,000,000 5,244,000,000 4,983,000,000 4,842,000,000 4,566,000,000 4,251,000,000 4,073,000,000 3,896,000,000 3,774,310,000 3,565,946,000 3,496,341,000 3,325,543,000 3,077,611,000 2,741,293,000 2,539,124,000 2,256,327,000 2,047,889,000 1,883,702,000 1,727,302,000 1,676,055,000 1,575,832,000 1,581,972,000 1,563,779,000 1,524,242,000 1,428,582,000 1,394,548,000 1,041,322,000 962,574,000 948,856,000 861,607,000 811,273,000 797,542,000 685,766,000 628,832,000 592,973,000 589,277,000 472,926,000 412,367,000 281,464,000 255,488,000 226,644,000 219,674,000 347,273,000 399,968,000                      
        total investments
      46,786,000,000 46,504,000,000 45,323,000,000 44,293,000,000 42,121,000,000 40,540,000,000 41,903,000,000 37,085,000,000 35,218,000,000 33,856,000,000 31,380,000,000 29,966,000,000 28,776,000,000 27,292,927,000 26,016,150,000 25,716,301,000 25,996,258,000 26,588,156,000 26,414,231,000 29,298,681,000 28,361,147,000 28,761,358,000 27,691,536,000 26,464,777,000 24,136,861,000 23,617,335,000 23,127,963,000 22,327,879,000 21,666,428,000 21,537,418,000 21,740,710,000 21,840,012,000 21,931,881,000 20,699,152,000 20,254,670,000 19,719,651,000 17,554,337,000 16,667,888,000 16,334,188,000 15,842,941,000 15,815,437,000 15,346,940,000 15,411,644,000 15,163,135,000 13,843,497,000 13,071,357,000 12,967,426,000 12,212,177,000 11,838,099,000 11,775,749,000 12,052,503,000 11,348,864,000 11,219,621,000 10,646,867,000 10,239,622,000 9,967,647,000 10,057,607,000 10,062,479,000 9,342,526,000 9,032,704,000 8,749,035,000 7,816,538,000 7,452,210,000  6,606,739,000 6,322,767,000 5,960,475,000 5,257,504,000 4,569,397,000 2,566,779,000 
        cash
      914,000,000 993,000,000 1,063,000,000 983,000,000 1,187,000,000 979,000,000 1,025,000,000 1,020,000,000 993,000,000 917,000,000 859,000,000 904,000,000 803,000,000 855,118,000 813,583,000 813,548,000 812,917,000 858,668,000 1,137,721,000 1,234,059,000 941,951,000 906,448,000 976,398,000 854,259,000 882,284,000 880,099,000 605,316,000 633,100,000 651,037,000 526,628,000 680,891,000 606,199,000 862,361,000 740,320,000 703,754,000 842,942,000 578,816,000 516,591,000 557,961,000 553,326,000 649,779,000 525,074,000 471,012,000 926,443,000 1,569,605,000 436,141,000 356,767,000 422,806,000 411,001,000 406,877,000 365,997,000 341,469,000 338,708,000 336,693,000 244,037,000 239,097,000 246,544,000 258,680,000 225,249,000 317,017,000 188,139,000 366,373,000 247,906,000  161,759,000 162,017,000 86,723,000 92,763,000 188,121,000 62,013,000 
        accrued investment income
      302,000,000 338,000,000 307,000,000 329,000,000 267,000,000 298,000,000 292,000,000 287,000,000 236,000,000 236,000,000 217,000,000 233,000,000 163,000,000 158,680,000 116,263,000 116,102,000 82,607,000 85,453,000 75,832,000 96,546,000 101,108,000 103,299,000 106,940,000 102,064,000 118,089,000 116,196,000 119,252,000 112,935,000 106,543,000 114,307,000 106,114,000 113,133,000 101,104,000 108,562,000 104,168,000 124,483,000 81,907,000 85,317,000 81,628,000 87,206,000 76,142,000 80,129,000 73,282,000 64,869,000 59,701,000 64,428,000 65,023,000 65,643,000 71,083,000 69,057,000 79,180,000 72,102,000 74,214,000 70,854,000 65,365,000 82,218,000 76,313,000 73,686,000 68,012,000 68,440,000 70,163,000 65,617,000 59,936,000  56,017,000 63,210,000 56,978,000 49,706,000 42,219,000 25,570,000 
        investment in operating affiliates
      1,330,000,000 1,313,000,000 1,417,000,000 1,356,000,000 1,305,000,000 1,240,000,000 1,236,000,000 1,143,000,000 1,174,000,000 1,119,000,000 1,000,000,000 973,000,000 1,015,000,000 964,604,000 891,212,000 967,603,000 1,144,255,000 1,135,655,000 1,111,825,000 731,810,000 739,783,000                                                  
        premiums receivable
      6,526,000,000 5,723,000,000 6,450,000,000 7,067,000,000 6,607,000,000 5,634,000,000 6,364,000,000 6,268,000,000 5,765,000,000 4,644,000,000 4,937,000,000 5,296,000,000 4,513,000,000 3,624,777,000 3,579,380,000 3,634,182,000 3,223,504,000 2,633,280,000 2,807,720,000 2,866,578,000 2,618,175,000 2,064,586,000 2,225,311,000 2,203,753,000 2,155,204,000 1,618,186,000 1,606,040,000 1,584,682,000 1,307,466,000 1,351,310,000 1,375,080,000 1,135,249,000 1,269,678,000 1,314,564,000 1,254,048,000 1,072,435,000 1,182,708,000 1,260,607,000 1,209,548,000 983,443,000 1,074,884,000 1,181,636,000 1,116,389,000 1,098,692,000 1,008,375,000 850,386,000 870,575,000 700,137,000 712,397,000 633,144,000 662,634,000 706,503,000 699,385,000 735,969,000 720,724,000 738,694,000 859,261,000 880,946,000 954,168,000 749,961,000 901,001,000 897,400,000 872,975,000 672,902,000 678,335,000 622,664,000 642,877,000 601,220,000 602,862,000 560,861,000 
        reinsurance recoverable on unpaid and paid losses and loss adjustment expenses
      9,732,000,000 9,526,000,000 9,070,000,000 9,044,000,000 8,969,000,000 8,260,000,000 7,948,000,000 7,473,000,000 7,509,000,000 7,064,000,000 6,821,000,000 6,717,000,000 6,612,000,000 6,563,654,000 6,356,456,000 5,938,511,000 5,941,000,000 5,880,735,000 5,358,852,000 4,314,515,000 4,041,076,000 4,500,802,000 4,621,937,000 4,363,507,000 4,303,135,000 3,168,195,000 3,171,257,000 3,099,823,000 2,749,785,000 2,727,303,000 2,510,119,000 2,540,143,000 2,506,015,000 2,155,107,000 2,133,148,000 2,114,138,000 2,076,248,000 2,034,970,000 1,962,863,000 1,867,373,000 1,832,386,000 1,831,227,000 1,788,619,000 1,796,403,000 1,790,025,000 1,795,888,000 1,846,064,000 1,849,603,000 1,855,342,000                      
        contractholder receivables
      2,253,000,000 2,270,000,000 2,287,000,000 2,280,000,000 2,212,000,000 2,161,000,000 2,078,000,000 2,016,000,000 1,907,000,000 1,814,000,000 1,805,000,000 1,761,000,000 1,750,000,000 1,731,293,000 1,735,730,000 1,758,018,000 1,810,199,000 1,828,691,000 1,824,990,000 1,882,948,000 1,919,655,000 1,986,924,000 2,185,614,000 2,179,124,000 2,140,724,000 2,094,683,000 2,102,544,000 2,087,720,000 2,067,268,000 2,044,322,000 2,002,469,000 1,978,414,000 1,864,348,000 1,826,966,000 1,766,340,000 1,717,436,000 1,649,441,000 1,600,426,000 1,529,105,000 1,486,296,000 1,436,154,000 1,393,138,000 1,339,433,000 1,234,392,000 1,118,991,000 1,028,772,000 908,034,000 762,031,000                       
        ceded unearned premiums
      3,183,000,000 2,659,000,000 3,079,000,000 3,229,000,000 2,895,000,000 2,428,000,000 2,935,000,000 2,981,000,000 2,717,000,000 2,170,000,000 2,444,000,000 2,459,000,000 2,116,000,000 1,799,197,000 2,115,539,000 2,123,915,000 1,951,960,000 1,729,455,000 1,824,910,000 1,541,093,000 1,406,489,000 1,234,075,000 1,450,200,000 1,364,603,000 1,357,284,000 1,168,258,000 1,136,728,000 1,099,581,000 1,011,850,000 1,014,663,000 996,772,000 926,611,000 947,135,000 961,330,000 941,923,000 859,567,000                                   
        deferred acquisition costs
      1,774,000,000 1,717,000,000 1,786,000,000 1,814,000,000 1,785,000,000 1,734,000,000 1,744,000,000 1,635,000,000 1,625,000,000 1,531,000,000 1,483,000,000 1,452,000,000 1,355,000,000 1,263,870,000 1,122,711,000 1,069,845,000 1,001,866,000 901,841,000 893,665,000 1,013,657,000 919,740,000 790,708,000 750,901,000 714,531,000 708,848,000 622,028,000 600,740,000 597,526,000 572,987,000  596,264,000 535,824,000 531,196,000 506,748,000 487,925,000 447,560,000 469,466,000 462,906,000 464,288,000 433,477,000 448,893,000 448,647,000 442,775,000 399,385,000 384,294,000 338,671,000 306,505,000 261,467,000 310,616,000 302,271,000 297,250,000 293,982,000 298,371,000 307,896,000 313,973,000 310,916,000 319,732,000 311,364,000 314,686,000 290,999,000 313,806,000 323,328,000 327,491,000  313,942,000 303,969,000 297,613,000 304,454,000 302,069,000 240,300,000 
        receivable for securities sold
      643,000,000 180,000,000 695,000,000 390,000,000 324,000,000 50,000,000 790,000,000 116,000,000 166,000,000 63,000,000 59,000,000 97,000,000 84,000,000 12,493,000 27,042,000 157,329,000 116,633,000 60,179,000 84,019,000 309,234,000 199,424,000 92,743,000 158,674,000 167,281,000 221,573,000 50,615,000 164,592,000 334,982,000 278,753,000 143,809,000 217,224,000 205,536,000 385,952,000 212,512,000 239,678,000 58,284,000 285,112,000 142,315,000 329,262,000 45,505,000 705,821,000 454,057,000 400,113,000 261,669,000 426,431,000 288,080,000 395,958,000 621,560,000 733,931,000 749,708,000 1,329,508,000 1,084,122,000 1,427,085,000 1,192,659,000 1,191,896,000 1,099,000,000 1,053,379,000 671,354,000 164,124,000 190,168,000 91,375,000 150,902,000   68,247,000      
        goodwill and intangible assets
      1,190,000,000 1,222,000,000 1,268,000,000 1,319,000,000 1,308,000,000 1,351,000,000 1,486,000,000 725,000,000 778,000,000 731,000,000 739,000,000 775,000,000 785,000,000 804,289,000 806,655,000 868,014,000 926,427,000 944,983,000 963,322,000 667,153,000 679,509,000 692,863,000 713,777,000 688,490,000 705,450,000 624,500,000 641,010,000 659,215,000 566,662,000 593,008,000 626,004,000 652,611,000 684,405,000 712,975,000 750,315,000 781,553,000 90,941,000 88,327,000 92,670,000 97,531,000 103,620,000 102,518,000 106,745,000 118,721,000 120,875,000                     16,666,000 16,666,000 31,423,000 31,423,000 35,882,000 
        other assets
      6,813,000,000 6,796,000,000 6,440,000,000 6,684,000,000 6,196,000,000 6,231,000,000 5,855,000,000 4,716,000,000 4,680,000,000 4,761,000,000 3,483,000,000 3,223,000,000 3,131,000,000 2,919,605,000 2,756,383,000 2,555,826,000 2,670,315,000 2,453,849,000 2,286,649,000 2,357,064,000 2,135,261,000 1,853,579,000 1,771,998,000 1,632,756,000 1,509,232,000 1,192,093,000 1,135,718,000 1,035,332,000 974,346,000 1,000,471,000 922,156,000 1,053,009,000 1,012,510,000 1,014,282,000 930,688,000 889,080,000 679,260,000 680,843,000 898,678,000 968,482,000 899,498,000 905,449,000 933,921,000 888,627,000 926,094,000 570,777,000 540,134,000 497,061,000 746,267,000 734,317,000 624,395,000 634,242,000 628,407,000 549,950,000 531,955,000 618,017,000 647,034,000 595,266,000 487,749,000 511,940,000 460,429,000 430,536,000 444,746,000  262,509,000 216,883,000 213,461,000 170,317,000 157,144,000 67,854,000 
        total assets
      81,446,000,000 79,241,000,000 79,185,000,000 78,788,000,000 75,176,000,000 70,906,000,000 73,656,000,000 65,465,000,000 62,768,000,000 58,906,000,000 55,227,000,000 53,856,000,000 51,103,000,000 47,990,507,000 46,337,104,000 45,719,194,000 45,677,941,000 45,100,945,000 44,783,736,000 46,481,886,000 44,204,267,000 43,282,297,000 42,716,035,000 41,199,648,000 38,416,126,000 35,572,603,000 34,851,670,000 33,977,037,000 32,252,534,000 31,853,120,000 32,131,955,000 32,051,658,000 32,624,797,000 30,862,639,000 30,092,226,000 29,372,109,000 25,643,231,000 24,411,917,000 24,541,369,000 23,177,270,000 23,770,592,000 23,084,925,000 22,849,680,000 22,573,515,000 21,800,358,000 18,930,823,000 18,757,061,000 17,812,783,000 17,213,806,000 17,191,966,000 17,701,397,000 16,777,399,000 16,935,106,000 16,641,935,000 16,092,287,000 16,093,048,000 16,281,502,000 16,354,475,000 14,961,871,000 14,312,467,000 13,953,876,000 13,087,713,000 12,361,140,000 11,488,436,000 10,926,753,000 9,128,644,000 8,615,677,000 7,658,528,000 6,916,133,000 4,203,006,000 
        liabilities
                                                                            
        reserve for losses and loss adjustment expenses
      34,105,000,000 33,547,000,000 32,822,000,000 32,089,000,000 30,946,000,000 29,369,000,000 28,679,000,000 24,466,000,000 23,705,000,000 22,752,000,000 21,836,000,000 21,268,000,000 20,758,000,000 20,031,943,000 19,288,291,000 18,194,324,000 18,109,107,000 17,757,156,000 17,331,047,000 17,196,648,000 16,443,952,000 16,513,929,000 15,900,526,000 15,044,874,000 14,309,580,000 12,389,384,000 12,230,316,000 12,010,041,000 11,554,321,000 11,424,337,000 11,496,205,000 11,383,792,000 11,351,267,000 10,520,511,000 10,296,821,000 10,200,960,000 9,610,189,000 9,471,647,000 9,378,987,000 9,125,250,000 9,084,855,000 9,082,281,000 8,928,950,000 9,018,989,000 8,938,958,000 8,819,419,000 8,835,710,000 8,511,323,000 8,564,908,000 8,319,324,000 8,054,677,000 7,940,104,000 7,898,162,000 7,809,034,000 7,709,317,000 7,569,543,000 7,349,083,000 7,319,141,000 6,595,820,000 6,463,041,000 6,309,624,000 6,121,878,000 5,760,939,000  5,098,327,000 4,175,403,000 3,865,940,000 3,229,783,000 2,702,358,000 1,185,593,000 
        unearned premiums
      10,939,000,000 10,100,000,000 11,124,000,000 11,625,000,000 11,090,000,000 10,218,000,000 11,238,000,000 10,452,000,000 9,971,000,000 8,808,000,000 9,074,000,000 9,052,000,000 8,218,000,000 7,337,002,000 7,271,279,000 7,145,297,000 6,737,779,000 6,011,942,000 6,165,114,000 6,011,369,000 5,549,127,000 4,838,965,000 5,062,052,000 4,827,445,000 4,817,191,000 4,243,372,000 4,056,860,000 4,036,119,000 3,868,379,000 3,833,540,000 3,885,297,000 3,622,314,000 3,751,550,000 3,679,651,000 3,631,259,000 3,406,870,000 2,671,121,000 2,618,359,000 2,579,148,000 2,333,932,000 2,467,691,000 2,442,923,000 2,400,834,000 2,299,692,000 2,148,475,000 1,983,408,000 1,841,870,000 1,595,712,000 1,589,497,000 1,504,162,000 1,524,100,000 1,492,550,000 1,495,265,000 1,632,989,000 1,617,431,000 1,653,855,000 1,735,371,000 1,810,324,000 1,950,264,000 1,791,922,000 1,995,755,000 1,939,140,000 1,867,250,000  1,678,198,000 1,641,659,000 1,640,892,000 1,565,097,000 1,529,275,000 1,253,518,000 
        reinsurance balances payable
      2,737,000,000 2,320,000,000 2,638,000,000 2,841,000,000 2,661,000,000 2,137,000,000 2,586,000,000 2,591,000,000 2,497,000,000 2,000,000,000 2,215,000,000 2,191,000,000 1,819,000,000 1,529,919,000 1,669,592,000 1,634,700,000 1,510,906,000 1,583,253,000 1,403,929,000 1,079,106,000 919,125,000 683,263,000 873,067,000 793,467,000 737,597,000 601,891,000 531,990,000 453,058,000 404,936,000 411,082,000 379,728,000 323,496,000 352,006,000 361,000,000 321,285,000 300,407,000 271,688,000 295,987,000 276,426,000 224,120,000 235,562,000 252,462,000 200,444,000 263,347,000 201,794,000 190,721,000 204,233,000 137,791,000 154,860,000 131,512,000 130,274,000 128,723,000 114,254,000 158,974,000 146,981,000 176,796,000 254,830,000 322,280,000 393,658,000 301,679,000 312,881,000 255,644,000 226,892,000  196,728,000 143,838,000 149,470,000 126,387,000 104,382,000 81,591,000 
        contractholder payables
      2,260,000,000 2,277,000,000 2,293,000,000 2,286,000,000 2,218,000,000 2,165,000,000 2,082,000,000 2,020,000,000 1,910,000,000 1,817,000,000 1,807,000,000 1,764,000,000 1,752,000,000 1,733,984,000 1,738,089,000 1,761,023,000 1,813,930,000 1,832,127,000 1,828,474,000 1,887,418,000 1,925,508,000 1,995,562,000 2,191,515,000 2,185,414,000 2,149,762,000 2,094,683,000 2,102,544,000 2,087,720,000 2,067,268,000 2,044,322,000 2,002,469,000 1,978,414,000 1,864,348,000 1,826,966,000 1,766,340,000 1,717,436,000 1,649,441,000 1,600,426,000 1,529,105,000 1,486,296,000 1,436,154,000 1,393,138,000 1,339,433,000 1,234,392,000 1,118,991,000 1,028,772,000 908,034,000 762,031,000                       
        collateral held for insured obligations
      260,000,000 237,000,000 239,000,000 225,000,000 245,000,000 249,000,000 268,000,000 263,000,000 263,000,000 259,000,000 274,000,000 275,000,000 252,000,000 249,238,000 254,720,000 251,063,000 244,502,000 242,352,000 254,259,000 235,618,000 222,245,000 215,581,000 221,957,000 208,449,000 211,597,000 205,449,000 237,056,000 232,411,000 249,723,000 257,396,000 253,709,000 240,183,000 345,726,000 338,737,000 327,161,000 301,406,000 277,463,000 261,228,000 249,440,000 248,982,000 242,928,000                              
        senior notes
      2,729,000,000 2,729,000,000 2,728,000,000 2,728,000,000 2,728,000,000 2,728,000,000 2,727,000,000 2,727,000,000 2,727,000,000 2,726,000,000 2,726,000,000 2,726,000,000 2,726,000,000 2,725,410,000 2,725,153,000 2,724,896,000 2,724,642,000 2,724,394,000 2,724,149,000 2,861,728,000 2,861,417,000 2,861,113,000 2,860,811,000 2,860,733,000 1,871,869,000 1,871,386,000 1,733,865,000 1,733,694,000 1,733,364,000 1,733,211,000 1,733,043,000 1,732,884,000 1,732,726,000 1,732,570,000 1,732,410,000 1,732,258,000 791,437,000 791,392,000 791,349,000 791,306,000 791,264,000 791,222,000 800,000,000 800,000,000 800,000,000 300,000,000 300,000,000 300,000,000 300,000,000 300,000,000 300,000,000 300,000,000 300,000,000 300,000,000 300,000,000 300,000,000 300,000,000 300,000,000 300,000,000 300,000,000 300,000,000 300,000,000 300,000,000 300,000,000 300,000,000 300,000,000 300,000,000 300,000,000 300,000,000  
        payable for securities purchased
      798,000,000 308,000,000 335,000,000 728,000,000 578,000,000 181,000,000 967,000,000 410,000,000 433,000,000 247,000,000 417,000,000 526,000,000 262,000,000 95,041,000 174,769,000 292,106,000 176,452,000 64,850,000 357,531,000 586,881,000 386,453,000 218,779,000 382,236,000 275,257,000 327,359,000 176,130,000 294,109,000 376,332,000 255,427,000 356,583,000 282,731,000 449,186,000 1,091,464,000 458,722,000 389,649,000 76,183,000 474,041,000 382,834,000 494,813,000 64,996,000 817,371,000 468,015,000 554,625,000 552,075,000 499,473,000 519,244,000 594,521,000 742,995,000 838,787,000 1,266,390,000 1,649,462,000 1,192,181,000 1,429,529,000 1,432,395,000 1,433,732,000 1,138,117,000 1,064,224,000 710,994,000 216,381,000 418,109,000 288,815,000 166,694,000 35,690,000  10,096,000 20,152,000 24,009,000    
        other liabilities
      3,430,000,000 3,517,000,000 3,287,000,000 3,225,000,000 3,165,000,000 3,039,000,000 2,835,000,000 1,871,000,000 1,905,000,000 1,942,000,000 1,637,000,000 1,411,000,000 1,317,000,000 1,367,068,000 1,411,193,000 1,289,760,000 1,431,271,000 1,329,742,000 1,321,470,000 1,332,843,000 1,565,861,000 1,510,888,000 1,681,181,000 1,467,739,000 1,392,905,000 1,007,524,000 904,438,000 984,942,000 819,373,000 752,399,000 765,948,000 782,717,000 788,354,000 648,099,000 674,313,000 784,110,000 618,834,000 533,694,000 549,832,000 568,852,000 649,910,000 756,005,000 679,450,000 577,320,000 575,394,000 496,125,000 543,788,000 531,700,000 750,972,000 718,896,000 658,766,000 644,829,000 683,369,000 604,561,000 580,093,000 687,700,000 673,554,000 658,324,000 519,018,000 510,614,000 511,532,000 479,825,000 488,219,000  287,407,000 293,863,000 298,299,000 253,530,000 201,119,000 110,304,000 
        total liabilities
      57,258,000,000 55,035,000,000 55,466,000,000 55,747,000,000 53,631,000,000 50,086,000,000 51,382,000,000 44,800,000,000 43,411,000,000 40,551,000,000 39,986,000,000 39,213,000,000 37,104,000,000 35,069,605,000 34,533,086,000 33,293,169,000 32,748,589,000 31,545,816,000 31,385,973,000 31,519,407,000 30,173,261,000 29,294,856,000 29,448,283,000 28,472,748,000 26,500,721,000 23,510,794,000 23,032,496,000 22,817,977,000 21,814,433,000 21,622,107,000 21,921,458,000 21,805,723,000 22,646,926,000 20,880,560,000 20,412,552,000 20,060,984,000 17,250,642,000 16,714,040,000 17,167,593,000 16,028,376,000 16,628,526,000 15,947,534,000 15,551,780,000 15,332,450,000 14,895,495,000 13,487,538,000 13,421,531,000 12,973,327,000 12,772,537,000 12,866,431,000 12,983,487,000 12,379,396,000 12,556,349,000 12,611,967,000 12,461,891,000 12,576,338,000 12,395,269,000 12,349,931,000 11,178,523,000 10,721,848,000 10,607,627,000 10,071,933,000 9,611,586,000 9,007,909,000 8,575,222,000 6,625,252,000 6,326,813,000 5,530,074,000 4,878,629,000 2,636,664,000 
        commitments and contingencies
                                                                            
        shareholders' equity
                                                                            
        non-cumulative preferred shares
      830,000,000 830,000,000 830,000,000 830,000,000 830,000,000 830,000,000 830,000,000 830,000,000 830,000,000 830,000,000 830,000,000 830,000,000 830,000,000 830,000,000 830,000,000 830,000,000 830,000,000 830,000,000 830,000,000 1,280,000,000 780,000,000 780,000,000 780,000,000 780,000,000 780,000,000 780,000,000 780,000,000 780,000,000 780,000,000 780,000,000 780,000,000 872,555,000 772,555,000 772,555,000 772,555,000 772,555,000 775,000,000 325,000,000 325,000,000 325,000,000 325,000,000 325,000,000 325,000,000 325,000,000 325,000,000 325,000,000 325,000,000 325,000,000     130,000 130,000 130,000 130,000               
        common shares
      1,000,000 1,000,000 1,000,000 1,000,000 1,000,000 1,000,000 1,000,000 1,000,000 1,000,000 1,000,000 1,000,000 1,000,000 1,000,000 654,000 652,000 652,000 651,000 648,000 648,000 647,000 645,000 643,000 642,000 642,000 642,000 638,000 638,000 636,000 633,000 633,000 630,000 611,000 610,000 609,000 583,000 582,000 582,000 581,000 579,000 577,000 576,000 576,000 573,000 570,000 567,000 565,000 561,000 552,000 541,000 535,000 531,000 529,000 527,000 610,000 605,000 602,000 619,000 646,000 737,000 743,000 740,000 739,000 738,000  355,000 353,000 351,000 347,000 335,000 280,000 
        additional paid-in capital
      2,831,000,000 2,735,000,000 2,682,000,000 2,660,000,000 2,588,000,000 2,510,000,000 2,465,000,000 2,443,000,000 2,401,000,000 2,327,000,000 2,297,000,000 2,278,000,000 2,260,000,000 2,211,444,000 2,186,599,000 2,170,661,000 2,134,241,000 2,085,075,000 2,061,906,000 2,028,919,000 2,014,741,000 1,977,794,000 1,950,782,000 1,935,514,000 1,921,487,000 1,864,468,000 1,847,949,000 1,819,605,000 1,775,499,000 1,760,606,000 1,737,978,000 1,230,617,000 1,212,960,000 1,196,884,000 548,053,000 531,687,000 516,204,000 517,942,000 485,943,000 467,339,000 450,948,000 437,533,000 399,757,000 353,208,000 320,503,000 283,449,000 242,492,000 170,694,000 142,001,000 120,109,000 100,640,000 83,828,000 420,796,000 1,006,315,000 996,417,000 977,059,000 1,089,636,000 1,269,821,000 1,910,125,000 1,944,304,000 1,928,914,000 1,923,156,000 1,794,410,000  1,575,843,000 1,568,955,000 1,564,488,000 1,555,284,000 1,548,442,000 1,356,014,000 
        retained earnings
      28,082,000,000 27,045,000,000 25,817,000,000 24,477,000,000 23,250,000,000 22,686,000,000 23,642,000,000 22,664,000,000 21,405,000,000 20,295,000,000 17,971,000,000 17,258,000,000 16,597,000,000 15,892,065,000 15,042,561,000 15,035,644,000 14,641,484,000 14,455,868,000 13,842,787,000 13,454,036,000 12,790,216,000 12,362,463,000 11,829,322,000 11,420,686,000 11,132,268,000 10,705,025,000 10,322,975,000 9,864,424,000 9,300,208,000 9,083,202,000 8,849,959,000 8,562,889,000 8,359,354,000 8,412,114,000 8,238,296,000 7,996,701,000 7,972,643,000 7,725,255,000 7,519,685,000 7,370,371,000 7,317,277,000 7,242,728,000 7,132,423,000 6,421,701,000 6,219,170,000 5,886,149,000 5,605,353,000 4,954,450,000 4,533,729,000 4,441,848,000 4,194,902,000 4,053,332,000 3,816,342,000 3,046,706,000 2,894,577,000 2,836,211,000 2,809,821,000 2,617,539,000 1,794,569,000 1,593,907,000 1,354,629,000 1,168,819,000 1,030,971,000  800,455,000 886,746,000 760,754,000 537,729,000 519,700,000 161,642,000 
        accumulated other comprehensive income, net of deferred income tax
      -333,000,000 5,000,000  -48,000,000 -408,000,000 -720,000,000 -200,000,000 -810,000,000 -821,000,000 -676,000,000 -1,453,000,000 -1,319,000,000 -1,297,000,000 -1,646,170,000 -1,891,827,000 -1,258,265,000 -649,445,000 -64,600,000 49,184,000 230,048,000 205,827,000 488,895,000 386,357,000 349,488,000 21,944,000 211,714,000 206,827,000 38,323,000 -221,041,000 -194,157,000 -134,009,000 118,044,000 129,682,000 78,441,000 -15,677,000 -114,541,000 119,752,000 163,834,000 101,629,000 -16,502,000 9,809,000 66,441,000 158,023,000 233,883,000 123,719,000 41,955,000 229,563,000 234,468,000 263,584,000 225,405,000 388,370,000 173,231,000 140,962,000     116,408,000 77,787,000 51,535,000 61,836,000     53,354,000  46,983,000   
        common shares held in treasury, at cost
      -7,223,000,000 -6,410,000,000 -5,611,000,000 -4,879,000,000 -4,716,000,000 -4,487,000,000 -4,464,000,000 -4,463,000,000 -4,461,000,000 -4,424,000,000 -4,407,000,000 -4,407,000,000 -4,403,000,000 -4,377,920,000 -4,372,875,000 -4,361,126,000 -4,037,342,000 -3,761,095,000 -3,396,999,000 -3,007,578,000 -2,694,957,000 -2,503,909,000 -2,495,106,000 -2,494,505,000 -2,489,097,000 -2,403,749,000 -2,401,037,000 -2,388,392,000 -2,280,151,000 -2,266,529,000 -2,084,186,000 -2,077,741,000 -2,053,644,000 -2,051,343,000 -2,039,270,000 -2,034,570,000 -2,031,859,000 -2,028,690,000 -2,019,249,000 -1,941,904,000 -1,940,795,000 -1,934,763,000 -1,727,074,000 -1,104,963,000 -1,096,826,000 -1,093,833,000 -1,067,439,000                        
        total shareholders' equity available to arch
      24,188,000,000  23,719,000,000 23,041,000,000 21,545,000,000 20,820,000,000 22,274,000,000 20,665,000,000 19,355,000,000 18,353,000,000 15,239,000,000 14,641,000,000 13,988,000,000 12,910,073,000 11,795,110,000 12,417,566,000 12,919,589,000 13,545,896,000 13,387,526,000 13,986,072,000 13,096,472,000 13,105,886,000 12,451,997,000 11,991,825,000 11,367,244,000 11,158,096,000 10,757,352,000 10,114,596,000 9,355,148,000 9,163,755,000 9,150,372,000 9,196,602,000 8,911,144,000 8,898,887,000 8,605,844,000 8,253,718,000 7,352,322,000 6,703,922,000 6,413,587,000 6,204,881,000 6,162,815,000 6,137,515,000 6,288,702,000 6,229,399,000 5,892,133,000                          
        total liabilities and shareholders' equity
      81,446,000,000 79,241,000,000 79,185,000,000 78,788,000,000 75,176,000,000                                         18,930,823,000 18,757,061,000                        
        other investments
       3,136,000,000    3,066,000,000    2,488,000,000    1,644,197,000    1,973,550,000 2,043,970,000 4,571,497,000 4,435,354,000 4,324,796,000                            386,127,000 418,411,000 340,598,000 263,608,000 115,260,000 104,988,000 142,146,000 295,638,000 316,252,000 422,387,000 307,082,000           
        shareholders’ equity
                                                                     2,480,527,000       
        total shareholders' equity
       24,206,000,000            12,910,073,000    13,545,896,000 13,387,526,000 14,904,946,000 13,973,336,000 13,928,893,000 13,209,917,000 12,670,914,000 11,860,029,000 12,013,020,000 11,612,699,000 10,952,677,000 10,231,902,000 10,024,908,000 10,004,484,000 10,040,013,000 9,772,042,000 9,776,343,000 9,474,030,000 9,105,572,000 8,187,130,000 7,492,511,000 7,168,502,000 6,943,712,000 6,936,977,000 6,932,395,000 7,078,296,000 7,021,739,000  5,443,285,000 5,335,530,000                        
        redeemable noncontrolling interests
              2,000,000 2,000,000 2,000,000 2,000,000 11,000,000 10,829,000 8,908,000 8,459,000 9,763,000 9,233,000 10,237,000 57,533,000 57,670,000 58,548,000 57,835,000 55,986,000 55,376,000 48,789,000 206,475,000 206,383,000 206,199,000 206,105,000 206,013,000 205,922,000 205,829,000 205,736,000 205,644,000 205,553,000 205,459,000 205,366,000 205,274,000 205,182,000 205,089,000 204,996,000 219,604,000 219,326,000 219,234,000                          
        total liabilities, noncontrolling interests and shareholders' equity
           70,906,000,000 73,656,000,000 65,465,000,000 62,768,000,000 58,906,000,000 55,227,000,000 53,856,000,000 51,103,000,000 47,990,507,000 46,337,104,000 45,719,194,000 45,677,941,000 45,100,945,000 44,783,736,000 46,481,886,000 44,204,267,000 43,282,297,000 42,716,035,000 41,199,648,000 38,416,126,000 35,572,603,000 34,851,670,000 33,977,037,000 32,252,534,000 31,853,120,000 32,131,955,000 32,051,658,000 32,624,797,000 30,862,639,000 30,092,226,000 29,372,109,000 25,643,231,000 24,411,917,000 24,541,369,000 23,177,270,000 23,770,592,000 23,084,925,000 22,849,680,000 22,573,515,000                           
        non-redeemable noncontrolling interests
                         918,874,000 876,864,000 823,007,000 757,920,000 679,089,000 492,785,000 854,924,000 855,347,000 838,081,000 876,754,000 861,153,000 854,112,000 843,411,000 860,898,000 877,456,000 868,186,000 851,854,000 834,808,000 788,589,000 754,915,000 738,831,000 774,162,000 794,880,000 789,594,000 792,340,000 793,496,000                          
        collateral received under securities lending, at fair value
                         172,116,000 143,894,000 301,096,000 64,259,000 473,790,000 182,284,000 430,263,000 450,320,000 415,056,000 306,893,000 236,956,000 367,043,000 476,615,000 543,252,000 627,843,000 538,361,000 762,565,000 466,055,000 338,326,000 594,929,000 389,336,000 286,659,000 377,897,000                             
        securities pledged under securities lending, at fair value
                         168,548,000 140,949,000 294,912,000 62,749,000 464,503,000 177,442,000 420,415,000 440,510,000 404,262,000 299,409,000 230,064,000 358,152,000 464,917,000 528,212,000 610,121,000 525,569,000 744,980,000 453,757,000 330,773,000 580,766,000 384,081,000 285,632,000 373,969,000                             
        revolving credit agreement borrowings
                         155,687,000 155,687,000 155,687,000 210,687,000 335,587,000 500,587,000 490,720,000 491,006,000 488,612,000 554,756,000 572,289,000 755,294,000 816,132,000 826,242,000 686,452,000 734,961,000 756,650,000 398,100,000 397,830,000 457,431,000 530,434,000 339,077,000 100,000,000 100,000,000 100,000,000 100,000,000 100,000,000 100,000,000 100,000,000 100,000,000 100,000,000 125,000,000 125,000,000 100,000,000 100,000,000 100,000,000 100,000,000 100,000,000              
        securities lending payable
                         172,109,000 143,886,000 301,089,000 64,251,000 473,783,000 182,274,000 430,255,000 450,312,000 415,048,000 306,886,000 236,948,000 367,034,000 476,605,000 543,243,000 627,852,000 538,353,000 762,554,000 466,047,000 338,318,000 594,922,000 393,844,000 292,838,000 383,965,000 263,216,000 89,298,000 103,330,000 49,849,000 93,375,000 52,224,000 155,072,000 203,925,000 209,411,000 219,796,000 189,024,000 574,014,000 574,337,000 950,327,000 918,207,000              
        investments accounted for using the fair value option
                            3,749,575,000 3,520,771,000 3,310,517,000 3,838,243,000 3,721,035,000 3,969,623,000 4,097,735,000 4,111,611,000 4,119,139,000 4,216,237,000 4,249,634,000 3,827,408,000 3,648,120,000 3,421,220,000 3,389,573,000 3,066,029,000 3,139,332,000 2,894,494,000 2,783,165,000 2,613,487,000 2,441,986,000 2,041,091,000 1,256,650,000 1,139,725,000 902,230,000 500,283,000 321,790,000                      
        other investments available for sale, at fair value
                                     264,989,000 260,339,000 248,661,000 228,437,000 167,970,000 168,243,000 182,957,000 195,079,000 300,476,000 281,014,000 377,677,000 329,677,000 457,567,000 426,917,000 528,938,000 585,277,000 357,992,000 299,845,000                      
        convertible non-voting common equivalent preferred shares
                                     489,627,000 489,627,000 489,627,000 1,101,304,000 1,101,304,000                                   
        deferred acquisition costs net
                                   569,817,000                                         
        equity securities available for sale, at fair value
                                     495,804,000 477,143,000 461,017,000 428,594,000 518,041,000 521,587,000 490,815,000 506,915,000 618,405,000 606,259,000 701,623,000 687,713,000 608,820,000 548,168,000 452,195,000 342,091,000 318,181,000 320,434,000                      
        deposit accounting liabilities
                                         22,150,000 22,281,000 22,325,000 266,140,000 260,364,000 270,876,000 277,523,000 284,828,000 397,337,000 409,080,000              43,284,000 45,107,000 44,590,000 46,526,000 49,646,000  49,782,000 50,337,000 48,203,000 55,277,000 41,495,000  
        prepaid reinsurance premiums
                                          541,238,000 540,954,000 500,412,000 427,609,000 442,346,000 442,141,000 421,908,000 430,214,000 349,077,000 330,980,000 301,736,000 261,619,000 278,587,000 259,624,000 267,240,000 256,952,000 250,841,000 283,488,000 274,578,000 335,210,000 364,226,000 419,046,000 501,287,000 470,138,000 514,490,000 444,586,000 376,815,000  334,229,000 336,721,000 318,026,000 260,332,000 232,329,000 188,840,000 
        investment of funds received under securities lending, at fair value
                                                257,059,000 82,603,000 96,264,000 42,135,000 84,315,000 41,867,000 145,224,000                      
        investment in joint venture
                                                90,724,000 103,934,000 102,803,000 106,982,000 108,038,000 107,866,000 105,982,000 105,495,000 104,347,000 103,540,000 102,946,000 100,656,000 101,143,000 98,951,000 100,000,000              
        fixed maturities and short-term investments pledged under securities lending, at fair value
                                                253,115,000 87,031,000 100,590,000 48,361,000 90,801,000 50,813,000 150,501,000                      
        total shareholders’ equity
                                                  6,685,629,000   4,839,456,000 4,441,269,000 4,325,535,000 4,717,910,000 4,398,003,000 4,378,757,000 4,029,968,000 3,630,396,000 3,516,710,000 3,886,233,000 4,004,544,000 3,783,348,000 3,590,619,000 3,346,249,000 3,015,780,000 2,749,554,000  2,351,531,000 2,503,392,000 2,288,864,000 2,128,454,000 2,037,504,000 1,566,342,000 
        total liabilities, noncontrolling interests and shareholders’ equity
                                                  21,800,358,000                          
        talf investments, at fair value
                                                     313,187,000 399,341,000                      
        talf borrowings, at fair value
                                                     239,551,000 318,441,000                      
        total liabilities and shareholders’ equity
                                                     17,812,783,000 17,213,806,000 17,191,966,000 17,701,397,000 16,777,399,000 16,935,106,000 16,641,935,000 16,092,287,000 16,093,048,000 16,281,502,000 16,354,475,000 14,961,871,000 14,312,467,000 13,953,876,000 13,087,713,000 12,361,140,000  10,926,753,000 9,128,644,000 8,615,677,000 7,658,528,000 6,916,133,000 4,203,006,000 
        non-cumulative preferred shares - series a and b
                                                      325,000,000 325,000,000 325,000,000 325,000,000                   
        fixed maturities available for sale, at market value
                                                       9,033,408,000 9,810,102,000 9,428,456,000 9,295,680,000 8,944,110,000 8,540,653,000                
        short-term investments available for sale, at market value
                                                       1,130,142,000 780,671,000 554,304,000 669,798,000 660,859,000 749,708,000                
        investment of funds received under securities lending agreements, at market value
                                                       9,951,000 200,020,000 209,635,000 177,954,000 556,473,000 550,821,000                
        talf investments, at market value
                                                       400,970,000 410,881,000 407,469,000 406,997,000                  
        equity securities available for sale, at market value
                                                       419,893,000                     
        investment funds accounted for using the equity method
                                                       395,258,000 432,418,000 408,402,000 405,584,000 370,165,000 293,452,000 384,139,000 351,879,000 294,379,000             
        fixed maturities and short-term investments pledged under securities lending agreements, at market value
                                                       198,418,000 203,221,000 214,564,000 184,221,000 559,385,000 559,691,000                
        securities purchased under agreements to resell using funds received under securities lending agreements
                                                       185,176,000                     
        unpaid losses and loss adjustment expenses recoverable
                                                       1,720,677,000 1,654,900,000 1,673,911,000 1,643,573,000 1,740,248,000 1,710,781,000 1,656,848,000 1,586,201,000 1,652,117,000 1,537,176,000 1,552,157,000 1,562,459,000 1,584,824,000 1,441,412,000 1,389,768,000 1,239,815,000 798,752,000 740,465,000 623,317,000 506,715,000 306,436,000 
        paid losses and loss adjustment expenses recoverable
                                                       51,453,000 60,222,000 47,148,000 67,734,000 53,432,000 76,312,000 67,737,000 113,439,000 110,962,000 120,883,000 122,149,000 116,966,000 96,827,000 63,803,000  30,051,000 31,611,000 31,253,000 20,231,000 23,183,000 18,496,000 
        talf borrowings, at market value
                                                       322,222,000 331,797,000 336,213,000 346,746,000                  
        deferred income tax assets
                                                           63,838,000 62,210,000 72,118,000 66,944,000 55,645,000 64,271,000 63,606,000 76,765,000 84,021,000 83,595,000  57,320,000 54,101,000 61,121,000 43,443,000 53,875,000  
        investment of funds received under securities lending agreements, at fair value
                                                             933,797,000               
        fixed maturities and short-term investments pledged under securities lending agreements, at fair value
                                                             905,546,000 890,822,000 1,190,086,000 1,120,957,000 860,803,000 815,268,000 741,901,000 858,283,000        
        short-term investment of funds received under securities lending agreements, at fair value
                                                              918,207,000 1,228,868,000 1,160,098,000 891,376,000 844,430,000 762,226,000 882,950,000  954,684,000      
        -series a
                                                              80,000              
        -series b
                                                              50,000              
        funds held by reinsureds
                                                               72,844,000 60,783,000 82,385,000 93,980,000 84,860,000 131,968,000  198,908,000 199,283,000 190,019,000 203,818,000 206,796,000 116,038,000 
        securities lending collateral
                                                               1,228,868,000 1,160,098,000 891,376,000 844,430,000 762,226,000 882,950,000  954,684,000      
        - series a
                                                               80,000   80,000 80,000         
        - series b
                                                               50,000   50,000 50,000         
        — series a
                                                                80,000            
        — series b
                                                                50,000            
        —series a
                                                                 80,000           
        —series b
                                                                 50,000           
        deferred compensation under share award plan
                                                                       -6,389,000     
        series a non-cumulative preferred shares
                                                                    80,000        
        balance sheet data:
                                                                            
        total investments and cash
                                                                     7,148,963,000       
        reserves for losses and loss adjustment expenses:
                                                                            
        before unpaid losses and loss adjustment expenses recoverable
                                                                     5,452,826,000       
        net of unpaid losses and loss adjustment expenses recoverable
                                                                     4,063,058,000       
        unearned premiums:
                                                                            
        before prepaid reinsurance premiums
                                                                     1,699,691,000       
        net of prepaid reinsurance premiums
                                                                     1,377,256,000       
        book value:
                                                                            
        per common share
                                                                     33,820       
        diluted
                                                                     33,820       
        shares outstanding:
                                                                            
        basic
                                                                     73,334,870,000       
        privately held securities, at fair value
                                                                      12,945,000 22,251,000     
        fixed maturities pledged under securities lending agreements
                                                                      918,882,000      
        preference shares
                                                                      373,000 373,000 373,000 373,000 384,000  
        privately held securities
                                                                        22,692,000 23,292,000 24,229,000 28,606,000 
        accumulated other comprehensive (loss) income, net of deferred income tax
                                                                            
        deferred income tax asset
                                                                           13,937,000 
        investment accounts payable
                                                                           5,658,000 
        preferred shares
                                                                           388,000 
        accumulated other comprehensive income consisting of unrealized appreciation in value of investments, net of deferred income tax
                                                                           68,339,000 
      Cashflow Statements:
      Quarterly
      Annual
        Unit: USD2026-03-31 2025-12-31 2025-09-30 2025-06-30 2025-03-31 2024-12-31 2024-09-30 2024-06-30 2024-03-31 2023-12-31 2023-09-30 2023-06-30 2023-03-31 2022-12-31 2022-09-30 2022-06-30 2022-03-31 2021-12-31 2021-09-30 2021-06-30 2021-03-31 2020-12-31 2020-09-30 2020-06-30 2020-03-31 2019-09-30 2019-06-30 2019-03-31 2018-09-30 2018-06-30 2018-03-31 2017-12-31 2017-09-30 2017-06-30 2017-03-31 2016-12-31 2016-09-30 2016-06-30 2016-03-31 2015-12-31 2015-09-30 2015-06-30 2015-03-31 2014-06-30 2014-03-31 2013-03-31 2012-03-31 2011-06-30 2011-03-31 2010-09-30 2010-06-30 2010-03-31 2009-03-31 2008-09-30 2008-03-31 2007-03-31 2006-12-31 2006-09-30 2006-06-30 2006-03-31 2005-12-31 2005-09-30 2005-06-30 2005-03-31 2004-09-30 
                                                                         
          operating activities
                                                                         
          net income
        1,047,000,000 1,238,000,000 1,350,000,000 1,237,000,000 574,000,000 935,000,000 988,000,000 1,269,000,000 1,120,000,000 2,333,000,000 723,000,000 669,000,000 717,000,000 862,788,000 18,258,000 403,945,000 197,432,000 623,675,000 421,415,000 718,664,000 475,708,000 599,314,000 488,682,000 466,389,000 -88,674,000 399,189,000 485,845,000 495,498,000 248,766,000 256,347,000 166,384,000 201,792,000 -45,217,000 199,099,000 274,035,000 95,574,000 303,620,000 249,357,000 175,627,000 28,006,000 64,000,000 125,819,000 308,757,000 211,717,000 179,145,000 256,476,000 164,256,000 124,098,000 25,756,000 608,476,000 460,445,000 216,994,000 146,330,000 427,477,000 195,883,000 205,012,000 245,739,000 192,298,000 142,887,000 132,290,000 100,893,000 -86,291,000 125,992,000 115,892,000 18,029,000 
          adjustments to reconcile net income to net cash from operating activities:
                                                                         
          net realized losses
        91,000,000 -7,000,000 -202,000,000 -225,000,000 -6,000,000 176,000,000 -165,000,000                                 127,981,000              86,362,000  1,097,000    783,000 46,153,000   426,000  
          equity in net (income) or loss of investments accounted for using the equity method and other income or loss
        -137,000,000 -194,000,000 -158,000,000 -95,000,000 -12,000,000                                                             
          amortization of intangible assets
        30,000,000 47,000,000 49,000,000 48,000,000 49,000,000 99,000,000 88,000,000 27,000,000 21,000,000 24,000,000 24,000,000 24,000,000 23,000,000 25,722,000 26,104,000 27,207,000 27,167,000 33,132,000 20,135,000 15,286,000 14,402,000 19,196,000 16,715,000 16,489,000 16,631,000 20,003,000 19,794,000 20,417,000 26,315,000 26,472,000 26,736,000 31,836,000 31,824,000 30,824,000 31,294,000                               
          share-based compensation
        82,000,000 24,000,000 25,000,000 25,000,000 74,000,000 33,000,000 16,000,000 16,000,000 68,000,000 20,000,000 15,000,000 17,000,000 41,000,000 7,599,000 13,511,000 21,139,000 45,379,000 14,791,000 14,739,000 16,752,000 40,812,000 14,829,000 14,521,000 13,363,000 28,549,000 12,895,000 15,646,000 25,891,000 10,387,000 20,755,000 14,664,000 9,490,000 15,569,000 27,082,000 15,657,000 10,270,000 10,542,000 21,504,000 14,265,000 9,521,000 10,531,000 22,806,000 13,238,000 21,452,000 14,175,000 11,543,000 7,411,000 19,505,000 5,628,000 25,450,000 19,376,000 7,096,000 4,318,000 24,303,000 4,600,000 4,306,000 5,638,000 4,111,000 4,211,000 3,299,000      
          changes in:
                                                                         
          reserve for losses and loss adjustment expenses, net of unpaid losses and loss adjustment expenses recoverable
        540,000,000 330,000,000 634,000,000 560,000,000 826,000,000 832,000,000 1,078,000,000 709,000,000 660,000,000 534,000,000 584,000,000 417,000,000 603,000,000 335,931,000 918,602,000 358,528,000 275,954,000 213,979,000 599,706,000 388,352,000 560,153,000 445,758,000 509,623,000 652,389,000 506,057,000 222,678,000 160,401,000 -6,005,000 146,136,000 -164,210,000 86,319,000 11,882,000 422,310,000 127,315,000 53,027,000  91,078,000 74,944,000 111,255,000  47,961,000 37,289,000 54,327,000 50,148,000 10,326,000 -22,182,000 39,343,000 286,223,000 155,477,000 212,024,000 162,604,000 91,247,000 83,763,000 432,217,000 182,498,000 147,462,000 163,719,000 210,111,000 217,527,000 256,469,000 204,546,000 481,861,000 251,176,000 250,323,000 410,823,000 
          unearned premiums, net of ceded unearned premiums
        362,000,000 -606,000,000 -321,000,000 11,000,000 327,000,000 -324,000,000 77,000,000 216,000,000 663,000,000 -83,000,000 107,000,000 463,000,000 541,000,000 273,717,000 253,024,000 358,864,000 513,507,000 -49,203,000 146,592,000 278,615,000 560,035,000 -53,030,000 103,052,000 2,957,000 392,802,000 175,434,000 -18,829,000 156,393,000 42,675,000 -37,867,000 177,645,000 -113,740,000 63,517,000 7,821,000 159,243,000                               
          premiums receivable
        -820,000,000 731,000,000 601,000,000 -352,000,000 -942,000,000 686,000,000 178,000,000 -523,000,000 -1,159,000,000 352,000,000 315,000,000 -777,000,000 -871,000,000 -13,488,000 -9,951,000 -485,099,000 -600,691,000 161,884,000 -65,707,000 -173,141,000 -608,250,000 143,123,000 1,872,000 -45,181,000 -418,457,000 -26,715,000 -16,913,000 -285,137,000 33,703,000 -3,178,000 -233,772,000 135,738,000 55,355,000 -46,148,000 -176,350,000 127,296,000 79,905,000 -61,466,000 -217,348,000 81,958,000 97,901,000 -14,395,000 -192,247,000 -83,337,000 -242,616,000 -198,814,000         -148,197,000           
          deferred acquisition costs
        -48,000,000 53,000,000 14,000,000 33,000,000 -14,000,000 -46,000,000 -86,000,000 2,000,000 -82,000,000 -45,000,000 -38,000,000 -77,000,000 -75,000,000 -131,690,000 -68,466,000 -76,912,000 -96,999,000 -15,277,000 -33,073,000 -88,192,000 -126,701,000 -36,710,000 -14,801,000 -17,302,000 -75,135,000 -13,816,000 -1,622,000 -23,168,000 -963,000 -4,764,000 -30,347,000 -4,747,000 -20,078,000 -11,825,000 -41,728,000 2,309,000 -7,456,000 -3,400,000 -30,050,000 12,714,000 -2,713,000 -2,705,000 -36,304,000 -13,834,000 -41,988,000 -45,159,000 277,861,000        -21,319,000  22,807,000         
          reinsurance balances payable
        419,000,000 -319,000,000 -207,000,000 159,000,000 504,000,000 -410,000,000 -27,000,000 95,000,000 521,000,000 -237,000,000 40,000,000 373,000,000 279,000,000 -163,927,000 56,323,000 146,117,000 -74,022,000 -118,506,000 287,110,000 91,255,000 240,206,000 -139,670,000 73,459,000 52,354,000 79,807,000 75,487,000 76,810,000 62,605,000 -5,265,000 35,327,000 53,634,000 -28,999,000 -12,584,000 29,998,000 20,114,000 -17,656,000 -24,514,000 21,783,000 51,929,000 -10,127,000 -15,415,000 35,679,000 -16,022,000 60,375,000 5,428,000 17,365,000  15,987,000     11,278,000  19,677,000 91,498,000 -11,202,000 57,237,000 28,752,000 76,441,000  52,890,000    
          deferred income tax assets
        20,000,000 19,000,000 46,000,000 80,000,000 29,000,000 -96,000,000 16,000,000 21,000,000 24,000,000                                                     1,507,000 1,496,000 3,646,000  
          other items
        -398,000,000 88,000,000 355,000,000 -357,000,000 49,000,000 -160,000,000 17,000,000 -108,000,000 -108,000,000 224,000,000 -2,000,000 -102,000,000 -212,000,000 -170,782,000 -77,653,000 -172,679,000 -13,957,000 86,983,000 -196,052,000 -134,733,000 -96,574,000 7,444,000 194,732,000 31,058,000 -223,124,000 22,249,000 -109,194,000 -37,253,000 54,640,000 -113,933,000 56,143,000 -165,163,000 97,707,000 25,571,000 -51,985,000 -33,873,000 38,495,000 -55,194,000 46,664,000 -39,066,000 -19,651,000 121,265,000 -70,085,000 19,847,000 19,041,000 -3,179,000 22,573,000 74,776,000 42,701,000 17,299,000    79,229,000 -30,978,000 34,734,000         -2,134,000 
          net cash from operating activities
        1,188,000,000 1,404,000,000 2,186,000,000 1,124,000,000 1,458,000,000 1,573,000,000 2,018,000,000 1,518,000,000 1,564,000,000 1,665,000,000 1,970,000,000 1,151,000,000 963,000,000 981,510,000 1,379,749,000 902,405,000 551,563,000 800,004,000 1,014,979,000 849,727,000 762,845,000 555,055,000 1,009,870,000 711,126,000 610,454,000 830,615,000 477,126,000 235,398,000 624,101,000 96,706,000 400,180,000 31,483,000 527,067,000 345,949,000 208,118,000 359,505,000 495,915,000 218,681,000 322,543,000 190,327,000 422,380,000 299,738,000 85,461,000 254,894,000 198,169,000 205,659,000 144,821,000 446,547,000 224,580,000 657,561,000 390,137,000 184,623,000 294,803,000 972,997,000 334,545,000 403,131,000 358,970,000 426,832,000 399,976,000 423,178,000 346,527,000   327,840,000  
          capital expenditures
        -10,268,000 -32,897,000 -4,978,000 -5,382,000 -3,742,000 -3,045,000    
          free cash flows
        1,188,000,000 1,404,000,000 2,186,000,000 1,124,000,000 1,458,000,000 1,573,000,000 2,018,000,000 1,518,000,000 1,564,000,000 1,665,000,000 1,970,000,000 1,151,000,000 963,000,000 981,510,000 1,379,749,000 902,405,000 551,563,000 800,004,000 1,014,979,000 849,727,000 762,845,000 555,055,000 1,009,870,000 711,126,000 610,454,000 830,615,000 477,126,000 235,398,000 624,101,000 96,706,000 400,180,000 31,483,000 527,067,000 345,949,000 208,118,000 359,505,000 495,915,000 218,681,000 322,543,000 190,327,000 422,380,000 289,470,000 52,564,000 249,916,000 192,787,000 201,917,000 144,821,000 446,547,000 224,580,000 657,561,000 390,137,000 184,623,000 294,803,000 972,997,000 331,500,000 403,131,000 358,970,000 426,832,000 399,976,000 423,178,000 346,527,000   327,840,000  
          investing activities
                                                                         
          purchases of fixed maturity investments
        -9,288,000,000 -8,293,000,000 -10,619,000,000 -8,150,000,000 -9,418,000,000 -9,731,000,000 -7,436,000,000 -5,798,000,000 -8,325,000,000 -5,038,000,000 -4,184,000,000 -4,939,000,000 -3,901,000,000 -3,325,173,000 -3,359,345,000 -2,978,292,000 -6,727,665,000 -5,581,835,000 -6,315,639,000 -12,023,416,000 -11,530,968,000 -5,714,394,000 -8,640,034,000 -13,444,854,000 -11,965,995,000 -7,677,977,000 -8,888,176,000 -7,444,470,000 -7,970,347,000 -7,186,303,000 -9,681,267,000 -8,727,784,000 -8,179,803,000 -9,422,408,000 -10,476,918,000 -7,692,255,000 -10,298,824,000 -9,408,194,000 -8,133,537,000 -7,069,769,000 -7,740,713,000 -7,610,660,000 -7,030,731,000            -3,772,652,000           
          purchases of equity securities
        -185,000,000 -184,000,000 -277,000,000 -179,000,000 -808,000,000 -491,000,000 -278,000,000 -145,000,000 -509,000,000 -280,000,000 -72,000,000 -96,000,000 -8,000,000 -10,265,000 -131,160,000 -246,958,000 -408,615,000 -196,529,000 -358,177,000 -311,355,000 -309,419,000 -239,162,000 -330,699,000 -264,466,000 -760,683,000 -92,112,000 -228,129,000 -203,810,000 -139,679,000 -302,663,000 -377,000,000 -353,881,000 -266,980,000 -256,322,000 -143,833,000 -287,935,000 -165,089,000 -84,415,000 -128,263,000 -29,887,000 -196,991,000 -162,672,000 -125,863,000                       
          purchases of other investments
        -499,000,000 -493,000,000 -513,000,000 -535,000,000 -697,000,000 -1,587,000,000 -529,000,000 -875,000,000 -494,000,000 -1,059,000,000 -555,000,000 -291,000,000 -266,000,000 -450,358,000 -349,715,000 -303,725,000 -616,659,000 -509,040,000 -316,922,000 -602,173,000 -430,961,000 -966,841,000 -340,194,000 -273,221,000 -228,471,000 -337,862,000 -352,470,000 -324,593,000 -526,185,000 -494,693,000 -522,454,000 -614,096,000 -522,824,000 -456,665,000 -427,039,000 -380,632,000 -358,161,000 -345,415,000 -305,198,000 -429,275,000 -46,470,000 -588,283,000 -685,497,000            -146,815,000           
          proceeds from sales of fixed maturity investments
        7,984,000,000 7,055,000,000 8,435,000,000 6,522,000,000 7,301,000,000 9,798,000,000 5,227,000,000 3,691,000,000 7,529,000,000 4,450,000,000 2,576,000,000 4,045,000,000 3,034,000,000 1,853,586,000 1,911,450,000 2,025,616,000 6,053,352,000 3,509,653,000 6,937,404,000 12,213,254,000 10,917,134,000 5,404,479,000 7,711,837,000 13,109,907,000 11,723,123,000 7,075,372,000 8,555,892,000 7,076,590,000 7,219,660,000 7,411,396,000 8,679,147,000 8,057,305,000 8,017,794,000 9,224,934,000 10,386,746,000 7,828,042,000 9,753,375,000 9,151,013,000 7,827,536,000 6,682,493,000 7,056,035,000 7,498,060,000 6,857,459,000          3,377,680,000 11,014,920,000 3,523,338,000 4,326,607,000 3,531,987,000 2,887,666,000 3,319,331,000 4,121,591,000 3,995,867,000 3,983,562,000 646,860,000 548,030,000  
          proceeds from sales of equity securities
        202,000,000 183,000,000 281,000,000 223,000,000 820,000,000 428,000,000 126,000,000 482,000,000 65,000,000 72,000,000 55,000,000 86,000,000 75,000,000 14,308,000 49,596,000 389,956,000 1,100,256,000 222,512,000 153,343,000 257,304,000 284,986,000 415,471,000 151,447,000 314,045,000 266,301,000 194,429,000 81,684,000 95,017,000 244,851,000 330,757,000 291,311,000 304,528,000 278,809,000 219,717,000 253,347,000 286,824,000 127,285,000 121,607,000 216,012,000 55,003,000 236,665,000 146,437,000 125,906,000                       
          proceeds from sales, redemptions and maturities of other investments
        240,000,000 759,000,000 336,000,000 431,000,000 660,000,000 834,000,000 405,000,000 503,000,000 116,000,000 423,000,000 144,000,000 105,000,000 96,000,000 145,393,000 212,346,000 292,992,000 570,341,000 277,614,000 715,370,000 448,958,000 323,591,000 237,771,000 319,619,000 256,057,000 216,131,000 292,819,000 318,215,000 216,483,000 404,737,000 336,732,000 436,566,000 590,036,000 324,087,000 296,976,000 317,518,000 269,998,000 242,795,000 425,410,000 211,125,000 392,515,000 -220,307,000 473,412,000 605,263,000                       
          proceeds from redemptions and maturities of fixed maturity investments
        957,000,000 693,000,000 475,000,000 568,000,000 758,000,000 766,000,000 392,000,000 515,000,000 363,000,000 192,000,000 221,000,000 188,000,000 180,000,000 136,655,000 133,791,000 203,320,000 240,753,000 394,343,000 428,576,000 384,794,000 421,042,000 225,842,000 276,052,000 170,884,000 198,356,000 149,770,000 144,525,000 100,424,000 212,573,000 224,417,000 287,031,000 159,796,000 299,680,000 273,223,000 174,718,000 214,184,000 169,843,000 207,086,000 163,894,000 118,132,000 155,413,000 202,327,000 272,657,000 263,556,000 168,484,000 181,727,000 261,660,000 537,410,000 253,898,000 683,826,000 456,937,000 212,625,000 168,758,000 444,681,000 136,932,000 183,984,000 142,780,000 274,842,000 12,966,000 83,394,000 103,971,000 118,579,000 89,030,000 74,943,000  
          net settlements of derivative instruments
        -26,000,000 35,000,000 35,000,000 147,000,000 93,000,000 -132,000,000 115,000,000 7,000,000 5,000,000 119,000,000 -115,000,000 32,000,000 14,000,000 37,529,000 -61,509,000 -42,328,000 -2,510,000 27,758,000 -85,116,000 -30,374,000 47,660,000 15,716,000 12,819,000 -45,017,000 195,488,000 4,722,000 57,964,000 29,737,000 -3,733,000 -31,572,000 36,070,000 -7,611,000 -14,968,000 -2,063,000 -3,921,000 -40,464,000 -21,778,000 24,083,000 21,091,000 -86,170,000                          
          net (purchases) sales of short-term investments
        -11,000,000 -272,000,000 478,000,000 -242,000,000 294,000,000 549,000,000 -793,000,000 65,000,000 -90,000,000 -373,000,000 10,000,000 -125,000,000 -208,000,000 619,229,000 288,012,000 70,760,000 -510,752,000 1,338,070,000 -794,712,000 -967,261,000 589,175,000 129,670,000 164,012,000 -1,311,586,000 -11,777,000      595,318,000 230,099,000 -519,450,000 -47,352,000 -397,851,000  -299,702,000 -238,866,000 -65,594,000      156,262,000                     
          purchases of fixed assets
        -8,000,000 -11,000,000 -12,000,000 -12,000,000 -9,000,000 -13,000,000 -12,000,000 -11,000,000 -15,000,000 -15,000,000 -11,000,000 -15,000,000 -11,000,000 -13,289,000 -14,553,000 -12,060,000 -11,770,000 -6,987,000 -10,822,000 -11,095,000 -12,490,000 -13,155,000 -9,030,000 -9,217,000 -8,470,000 -11,276,000 -6,936,000 -9,423,000 -5,808,000 -9,002,000 -4,240,000 -5,979,000 -5,759,000 -5,909,000 -5,194,000 -3,738,000 -3,281,000 -4,332,000 -3,952,000 -4,835,000                          
          other
        -5,000,000 111,000,000 -2,000,000 -1,000,000 -2,000,000 -1,000,000 -32,000,000 57,000,000 -54,000,000   5,000,000 -1,000,000 -2,949,000 29,968,000 97,836,000 550,000 -162,007,000 -156,968,000 41,701,000 -246,590,000 69,795,000 -140,671,000 -33,821,000 42,500,000 -28,375,000 -80,847,000 -93,731,000 8,266,000 9,924,000 40,037,000 24,325,000 99,937,000 -33,395,000 19,603,000 -31,428,000 35,336,000 -31,338,000 29,115,000 -92,376,000 -4,555,000 25,239,000 29,779,000 3,006,000 1,700,000 1,084,000 588,000 3,181,000 714,000 8,950,000 7,357,000 5,061,000              
          net cash from investing activities
        -639,000,000 -417,000,000 -1,383,000,000 -1,228,000,000 -1,008,000,000 420,000,000 -1,963,000,000 -1,509,000,000 -1,409,000,000 -1,532,000,000 -1,935,000,000 -1,005,000,000 -996,000,000 -995,334,000 -1,291,119,000 -502,883,000 -312,719,000 -686,448,000 -359,606,000 -600,489,000 -493,189,000 -434,808,000 -798,228,000 -1,531,694,000 -278,496,000 -503,532,000 -452,151,000 -294,793,000 -492,482,000 160,313,000 -57,914,000 -479,414,000 -544,187,000 -214,517,000 -121,878,000 -1,466,435,000 -899,440,000 -122,401,000 -233,267,000 -413,125,000 -461,596,000 -83,773,000 44,619,000 -910,841,000 -41,226,000 -210,432,000 3,381,000       1,431,000 152,040,000           
          financing activities
                                                                         
          purchases of common shares under share repurchase program
        -783,000,000 -798,000,000 -732,000,000 -163,000,000 -196,000,000         -10,147,000 -320,688,000 -254,988,000 -362,097,000 -386,882,000 -306,049,000 -179,266,000 -7,986,000 -75,486,000 -2,871,000 -10,954,000 -170,276,000 -3,299,000     -75,256,000 -3,506,000 -198,979,000 -162,898,000   -40,964,000         -189,843,000           
          proceeds from common shares issued
        -17,000,000 30,000,000 1,000,000 47,000,000 -28,000,000 9,000,000 6,000,000 24,000,000 -32,000,000 -7,000,000   -18,000,000 9,523,000 1,202,000 13,195,000 -17,260,000 6,137,000 96,000 10,193,000 -10,008,000 11,532,000 5,000 -5,134,000 -4,527,000 1,075,000 1,344,000 -1,901,000 1,822,000 -11,072,000 -2,779,000 -13,564,000 -646,000 -2,848,000 -3,990,000 1,367,000 -2,298,000 -1,689,000 202,000 4,164,000 -1,481,000 2,590,000 -412,000 -500,000 3,021,000 1,280,000 780,000 1,478,000 2,875,000 22,956,000 14,370,000 10,591,000  11,384,000 2,540,000 3,145,000     10,281,000 5,067,000 3,450,000 2,898,000 1,685,000 
          common dividends paid
        -5,000,000 -2,000,000 -5,000,000                                                             
          preferred dividends paid
        -10,000,000 -10,000,000 -10,000,000 -10,000,000 -10,000,000 -10,000,000 -10,000,000 -10,000,000 -10,000,000 -10,000,000 -10,000,000 -10,000,000 -10,000,000 -10,184,000 -10,184,000 -10,184,000 -10,184,000 -10,184,000 -17,291,000 -10,402,000 -10,403,000 -10,403,000 -10,403,000 -10,403,000 -10,403,000 -10,403,000 -10,403,000 -10,403,000 -10,402,000 -10,403,000 -10,437,000 -11,105,000 -12,369,000 -11,349,000 -11,218,000 -11,617,000 -5,484,000 -5,485,000 -5,484,000 -5,485,000 -5,484,000 -5,485,000 -5,484,000 -5,485,000 -5,484,000 -5,484,000         -6,461,000           
          net cash from financing activities
        -827,000,000 -778,000,000 -743,000,000 -128,000,000 -241,000,000 -1,890,000,000 -7,000,000 14,000,000 -42,000,000 -17,000,000 -7,000,000 -15,000,000 -30,000,000 -1,849,000 -21,761,000 -448,543,000 -233,573,000 -347,670,000 -904,294,000 209,017,000 -186,602,000 -44,812,000 -105,247,000 805,833,000 -134,496,000 -37,411,000 -50,604,000 41,519,000 -3,715,000 -394,124,000 -338,905,000 191,509,000 132,876,000 -100,121,000 -227,669,000 1,381,878,000 467,176,000 -126,412,000 -86,973,000 129,438,000 172,540,000 -168,332,000 -138,302,000 10,513,000 978,364,000 -3,065,000         -467,959,000 223,286,000 49,745,000 77,300,000 -1,120,000 194,238,000 -51,137,000   2,125,000  
          effects of exchange rate changes on foreign currency cash and restricted cash
        -8,000,000 4,000,000 -14,000,000 55,000,000 16,000,000 -55,000,000 37,000,000 4,000,000 -11,000,000 27,000,000 -26,000,000 7,000,000 5,000,000 30,677,000 -36,776,000 -38,866,000 -3,924,000 -24,000 -20,633,000 -7,306,000 -6,084,000 28,136,000 15,895,000 8,981,000 -30,723,000 -10,272,000 -1,512,000 3,449,000 -1,194,000 -12,042,000 1,611,000                                   
          increase in cash and restricted cash
        -286,000,000 213,000,000 46,000,000 -177,000,000 225,000,000 48,000,000 85,000,000 27,000,000 102,000,000 143,000,000 2,000,000 138,000,000 -58,000,000 15,004,000 30,093,000 -87,887,000 1,347,000 -234,138,000 -269,554,000 450,949,000 76,970,000 103,571,000 122,290,000 -5,754,000 166,739,000 279,400,000 -27,141,000 -14,427,000 126,710,000 -149,147,000 4,972,000                                   
          cash and restricted cash, beginning of year
        2,067,000,000 1,760,000,000 1,498,000,000 1,273,000,000 1,314,771,000 1,290,544,000 903,698,000 724,643,000 727,284,000                                   
          cash and restricted cash, end of period
        1,781,000,000  46,000,000 -177,000,000 1,985,000,000  85,000,000 27,000,000 1,600,000,000  2,000,000 138,000,000 1,215,000,000  30,093,000 -87,887,000 1,316,118,000  -269,554,000 450,949,000 1,367,514,000  122,290,000 -5,754,000 1,070,437,000 279,400,000 -27,141,000 710,216,000 126,710,000 -149,147,000 732,256,000                                   
          income taxes paid
        22,000,000 143,000,000 166,000,000 131,000,000 18,000,000 157,000,000 76,000,000 151,000,000 -6,000,000                       3,874,000 43,972,000 3,224,000 711,000 9,879,000 14,123,000 24,115,000 2,504,000 4,813,000 9,468,000 22,423,000 3,569,000          2,231,000 12,357,000 2,510,000 596,000 8,521,000 3,039,000 22,816,000 9,591,000 2,991,000 2,141,000 19,162,000 15,796,000 2,641,000 
          interest paid
         63,000,000   64,000,000                         52,761,000 6,578,000 52,206,000 5,829,000 28,054,000 3,710,000 27,711,000 3,813,000 27,533,000 119,000 24,565,000 511,000          184,000 11,983,000   10,983,000 11,025,000 42,000 11,138,000 11,083,000 58,000 106,000 
          acquisitions, net of cash
                                         -1,971,809,000                              
          third party investment in redeemable noncontrolling interests
                                                   32,340,000 186,893,000                     
          cash and restricted cash, end of year
                                                                         
          equity in net (income) or loss of investment funds accounted for using the equity method and other income or loss
              -162,000,000 -62,000,000 -112,000,000  -55,000,000 17,000,000 -66,000,000  62,590,000 55,235,000 -11,420,000  -191,622,000 -45,089,000 -135,939,000                                             
          change in third party investment in redeemable noncontrolling interests
                                                                        
          net realized (gains) losses
                -52,000,000 -185,000,000 257,000,000 127,000,000 -17,000,000 -91,112,000 187,407,000 266,060,000 289,213,000 -60,054,000 11,736,000 -218,042,000 -161,007,000 -366,942,000 -282,907,000 -557,740,000 362,964,000 -64,760,000 -118,893,000 -145,400,000 47,315,000 75,447,000 101,995,000 -32,573,000   -40,855,000  -135,775,000 -83,303,000 -43,034,000              5,620,000  -33,791,000           
          purchase of operating affiliate
                         -207,567,000 -546,349,000                                             
          impact of the deconsolidation of the variable interest entity
                                                                        
          proceeds from issuance of preferred shares
                                     97,640,000                                 
          redemption of preferred shares
                                   -92,555,000                                  
          third party investment in non-redeemable noncontrolling interests
                          15,971,000  -2,867,000                   796,903,000                     
          dividends paid to redeemable noncontrolling interests
                         -959,000 -948,000 -1,404,000 -1,001,000 -1,359,000 -1,181,000 -2,414,000 -4,497,000 -4,497,000 -4,497,000 -4,497,000 -4,497,000 -4,498,000 -4,497,000 -4,497,000 -4,497,000 -4,498,000 -4,497,000 -4,497,000 -4,497,000 -4,497,000 -4,497,000 -4,497,000 -4,816,000                       
          change in cash collateral related to securities lending
                             26,614,000 -405,000 55,001,000 -600,000 37,208,000 -29,618,000 -39,231,000 14,737,000 161,567,000 -136,152,000 -27,001,000 -5,253,000 180,946,000 -127,313,000 -9,220,000 24,403,000 -43,118,000 -35,347,000 47,014,000 -12,800,000 -5,529,000                       
          proceeds from borrowings
                             13,875,000 988,618,000 16,300,000 137,283,000 3,800,000 59,000,000 36,680,000 90,994,000 39,585,000 14,500,000    1,340,741,000   192,285,000          264,526,000 264,526,000 214,526,000              
          repayments of borrowings
                             -55,000,000 -139,000,000   -1,500,000 -26,038,000 -54,000,000 -272,000,000 -101,000,000 -25,000,000 -100,000,000 -50,000,000 -22,000,000 -40,000,000 -105,000,000 -74,171,000                           
          equity in net income or loss of investments accounted for using the equity method and other income or loss
                                                                         
          change in third party investment in non-redeemable noncontrolling interests
                                                                         
          arch capital
                             80,000 -102,010,000 102,010,000 10,000 102,009,000 -102,009,000 102,019,000   102,018,000                                   
          equity in net income or loss of investment funds accounted for using the equity method and other income or loss
                              -95,078,000 96,350,000 29,034,000 6,808,000 -15,968,000 -29,752,000 19,900,000 5,840,000 -19,383,000  -16,255,000 -11,388,000 -36,141,000  -3,004,000 7,918,000 3,243,000  14,332,000 -8,379,000 -1,970,000 -9,694,000 9,559,000 23,052,000                    
          net impairment losses recognized in earnings
                                 1,163,000 49,000 1,309,000 492,000 470,000 162,000 1,723,000 1,878,000 1,730,000 1,807,000 13,593,000 3,867,000 5,343,000 7,639,000 7,336,000 5,868,000 1,113,000 5,799,000 14,749,000 2,971,000 2,246,000 1,023,000 4,364,000 2,680,000 8,091,000 6,016,000 1,606,000 36,134,000             
          net sales of short-term investments
                                 -72,442,000 -91,081,000 292,601,000             178,034,000              74,201,000          -49,120,000 
          net sales (purchases) of short-term investments
                                    102,414,000              66,283,000             188,663,000          
          reconciliation of cash and restricted cash within the consolidated balance sheets:
                                                                         
          cash
                                      680,891,000                                   
          restricted cash
                                      51,365,000                                   
          cash and restricted cash
                                      732,256,000                                   
          equity in net income or loss of investment funds accounted for using theequity method and other income or loss
                                                                         
          proceeds from investment in joint venture
                                                                       
          effects of exchange rate changes on foreign currency cash
                                       260,000 6,285,000 5,255,000 2,241,000 -10,822,000 -1,426,000 -11,238,000 2,332,000 -3,093,000 -8,619,000 6,429,000 -6,468,000 2,272,000 241,000 -6,436,000 4,183,000 6,403,000 5,406,000    3,580,000  139,000 513,000 -456,000 1,217,000        
          increase in cash
                                       -256,162,000 122,041,000 36,566,000 -139,188,000 264,126,000 62,225,000 -41,370,000 4,635,000 -96,453,000 124,705,000 54,062,000 -14,690,000 -643,162,000 1,135,548,000 -14,274,000 71,107,000 48,261,000 44,137,000 31,426,000 6,898,000 4,137,000   18,765,000    118,467,000 25,429,000 60,718,000 -258,000    
          cash beginning of year
                                       842,942,000 553,326,000 485,702,000 434,057,000 371,041,000 351,699,000 362,740,000 362,740,000 334,571,000 334,571,000 334,571,000 251,739,000 239,915,000 239,915,000 317,017,000 222,477,000 113,052,000 
          cash end of year
                                                                         
          non-cash consideration paid in convertible non-voting common equivalent preferred shares
                                                                         
          cash end of period
                                        122,041,000 36,566,000 703,754,000  62,225,000 -41,370,000 557,961,000  124,705,000 54,062,000 471,012,000 -643,162,000 1,569,605,000 356,767,000 422,806,000 411,001,000 406,877,000 365,997,000 341,469,000 338,708,000 244,037,000 239,097,000 258,680,000 225,249,000  -178,234,000 118,467,000 247,906,000  -258,000 75,294,000 86,723,000 -95,358,000 
          reserve for losses and loss adjustment expenses, net of unpaid lossesand loss adjustment expenses recoverable
                                                                         
          other liabilities
                                           82,473,000 83,282,000 23,617,000 32,697,000 38,585,000 101,479,000 -45,985,000 -48,856,000 -16,152,000 59,285,000 23,811,000 10,134,000 6,753,000 33,366,000 8,143,000  41,448,000 2,802,000 50,421,000 40,490,000 1,296,000 -13,396,000 22,315,000 -4,129,000 22,460,000   -3,633,000 2,238,000 43,842,000 
          change in other assets
                                           -42,089,000 -17,232,000 6,679,000 6,737,000 6,661,000                          
          unearned premiums, net of prepaid reinsurance premiums
                                            55,875,000 17,578,000 169,656,000 -108,536,000 35,289,000 142,000 156,731,000 64,776,000 205,210,000 200,004,000 181,735,000 194,123,000 130,136,000 105,905,000 96,881,000 96,645,000 120,867,000 33,870,000 105,497,000 127,107,000  -13,289,000 4,119,000 113,179,000 33,287,000 39,031,000 -17,928,000 103,071,000 7,819,000 
          see notes to consolidated financial statements
                                            10,000                           
          purchase of business, net of cash acquired
                                               3,250,000 -2,432,000 -235,578,000                     
          purchase price
                                                                         
          cash paid
                                                                         
          contingent consideration liability
                                                                         
          total purchase price
                                                                         
          assets acquired
                                                                         
          investments, at fair value
                                                                         
          intangible asset -- acquired insurance contracts
                                                                         
          intangible asset -- operating platform
                                                                         
          intangible asset -- favorable lease contract
                                                                         
          intangible asset -- insurance licenses
                                                                         
          other assets acquired
                                                                         
          total assets acquired
                                                                         
          liabilities acquired
                                                                         
          reserves for losses and loss adjustment expenses
                                                                         
          unearned premiums
                                                                         
          intangible liability -- unfavorable service contract
                                                                         
          other liabilities acquired
                                                                         
          total liabilities acquired
                                                                         
          net assets acquired
                                                                         
          goodwill
                                                                         
          balance, beginning of period
                                                5,286,000 20,513,000 769,081,000                       
          sale of shares to noncontrolling interests
                                                                         
          amounts attributable to noncontrolling interests
                                                -25,907,000 -15,227,000 20,513,000                       
          foreign currency translation adjustments
                                                                         
          balance, end of period
                                                -20,718,000 5,286,000 789,594,000                       
          net realized gains
                                                 27,089,000 -87,907,000 -65,153,000 -22,367,000 -59,504,000                    
          purchases of furniture, equipment and other assets
                                                 -10,268,000 -32,897,000 -4,978,000 -5,382,000 -3,742,000                    
          purchases of:
                                                                         
          fixed maturity investments
                                                   -7,180,677,000 -7,131,071,000 -3,970,320,000 3,628,932,000 7,622,120,000 3,376,248,000 13,984,442,000 9,111,774,000 4,443,108,000              
          equity securities
                                                   -85,460,000 -89,227,000 -63,353,000 75,860,000 199,650,000 52,316,000                 
          other investments
                                                   -718,533,000 -304,454,000 -250,442,000 111,149,000 201,680,000 84,920,000 301,808,000 213,814,000 101,235,000              
          proceeds from the sales of:
                                                                         
          change in investment of securities lending collateral
                                                   14,032,000 4,669,000 -41,019,000 6,322,000   9,705,000  30,092,000 179,191,000 553,396,000            
          change in securities lending collateral
                                                   -14,032,000 -4,669,000 41,019,000  77,051,000 125,904,000  680,000    274,855,000 268,722,000    10,429,000      
          net purchases of short-term investments
                                                     -221,444,000                    
          proceeds from issuance of series c preferred shares
                                                                         
          repurchase of series a and b preferred shares
                                                                         
          numerator:
                                                                         
          preferred dividends
                                                                         
          loss on repurchase of preferred shares
                                                                         
          net income available to common shareholders
                                                                         
          denominator:
                                                                         
          weighted-average common shares outstanding — basic
                                                                         
          effect of dilutive common share equivalents:
                                                                         
          nonvested restricted shares
                                                                         
          stock options
                                                                         
          weighted-average common shares and common share equivalents outstanding — diluted
                                                                         
          earnings per common share:
                                                                         
          basic
                                                                         
          diluted
                                                                         
          equity in net income of investment funds accounted for using the equity method and other income
                                                       18,590,000                  
          december 31, 2010
                                                                         
          other assets
                                                      475,911,000                   
          retained earnings
                                                      4,422,553,000                   
          three months ended march 31, 2011
                                                                         
          other operating expenses
                                                      102,420,000        -73,637,000           
          income tax benefit
                                                                         
          net income per common share - basic
                                                      140                   
          net income per common share - diluted
                                                      140                   
          net cash used by investing activities
                                                                         
          gross premiums written
                                                       635,005,000 634,583,000 624,490,000 616,353,000 633,576,000 638,409,000 678,338,000 626,348,000 661,210,000          
          net premiums written
                                                       438,263,000 449,291,000 431,361,000 422,837,000 452,924,000 441,586,000 466,115,000 402,764,000 428,344,000          
          net premiums earned
                                                       410,819,000 407,591,000 411,881,000 405,473,000 429,477,000 401,097,000 441,049,000 419,100,000 413,847,000          
          fee income
                                                       702,000 778,000 864,000 874,000 753,000 870,000 872,000 882,000 1,425,000          
          losses and loss adjustment expenses
                                                              -287,303,000           
          acquisition expenses
                                                              -51,889,000           
          underwriting income
                                                       -33,429,000  2,947,000 -6,033,000 -29,932,000 11,421,000  7,153,000 40,361,000          
          net investment income
                                                                         
          equity in net income of investment funds accounted for using the equity method
                                                                         
          other income
                                                                         
          other incomes
                                                                         
          interest expense
                                                                         
          net foreign exchange gains
                                                                         
          income before income taxes
                                                                         
          underwriting ratios
                                                                         
          loss ratio
                                                       73,400 73,000 64,400 67,900 72,600 67,300 76,500 68,600 62,700          
          acquisition expense ratio
                                                       16,000 14,900 16,100 15,900 15,500 14,100 14,000 12,200 11,100          
          other operating expense ratio
                                                       18,700 18,300 18,700 17,700 18,800 15,700 16,300 17,600 16,600          
          combined ratio
                                                       108,100 106,200 99,200 101,500 106,900 97,100 106,800 98,400 90,400          
          underwriting loss
                                                        -25,506,000     -30,148,000            
          net foreign exchange losses
                                                                         
          income tax expense
                                                                         
          equity in net (income) loss of investment funds accounted for using the equity method and other income
                                                            10,428,000  18,277,000           
          proceeds from sales of other investments
                                                            24,027,000 235,712,000 65,226,000 54,754,000    5,359,000      
          excess tax benefits from share-based compensation
                                                            742,000 1,778,000 660,000 2,355,000 1,742,000 563,000 693,000 2,450,000      
          other income and equity in net (income) loss of investment funds accounted for using the equity method
                                                                         
          investment in joint venture
                                                                         
          purchases of furniture, equipment and other
                                                              -3,045,000           
          revolving credit agreement borrowings
                                                             100,000,000            
          decrease in cash
                                                                         
          funds held by reinsureds
                                                              1,908,000 21,602,000 11,595,000 -9,120,000 47,108,000 35,771,000 31,169,000 375,000 -9,264,000 19,927,000 2,978,000 
          proceeds from preferred shares issued, net of issuance costs
                                                                -150,000        
          other (income) loss
                                                                         
          paid losses and loss adjustment expenses recoverable
                                                                   17,145,000      
          proceeds from sale of other investments
                                                                8,863,000 267,000        
          proceeds from sale of companies, net of cash
                                                                         
          proceeds from common shares issued, net of repurchases
                                                                7,518,000 953,000 2,522,000 8,690,000      
          proceeds from issuance of senior notes, net of issuance costs
                                                                         
          repayment of credit agreement borrowings
                                                                         
          basic earnings per common share:
                                                                         
          divided by:
                                                                         
          weighted-average common shares outstanding
                                                                         
          basic earnings per common share
                                                                         
          diluted earnings per common share:
                                                                         
          effect of dilutive securities:
                                                                         
          series a convertible preference shares
                                                                         
          warrants
                                                                         
          total shares
                                                                         
          diluted earnings per share
                                                                         
          change in short-term investment of funds received under securities lending agreements, at fair value
                                                                 -82,204,000        
          net income, as reported
                                                                 -212,283,000 10,100,000 115,892,000      
          total share-based employee compensation expense under fair value method, net of income taxes
                                                                         
          pro forma net income
                                                                 -212,506,000 10,058,000 114,815,000      
          earnings per share – basic:
                                                                         
          as reported
                                                                 -6,130 280 3,370      
          pro forma
                                                                 -6,130 270 3,340      
          earnings per share – diluted:
                                                                         
          deposit accounting liabilities
                                                                   6,542,000  -555,000 2,134,000 4,180,000 13,782,000 
          net proceeds from preferred shares issued
                                                                   193,527,000      
          declaration of preferred dividends to be paid
                                                                   2,667,000      
          other loss
                                                                        -95,000 
          non-cash compensation
                                                                    1,732,000 2,413,000 1,978,000 2,095,000  
          excess of fair value of net assets acquired over cost
                                                                         
          accrued investment income
                                                                     7,193,000 -6,232,000 185,000  
          investment of securities lending collateral
                                                                         
          proceeds (cost) of sold/acquired companies, net of cash
                                                                         
          proceeds from issuance of senior notes
                                                                        
          proceeds from (repayment of) credit agreement borrowings
                                                                         
          securities lending collateral received
                                                                    -61,305,000     
          repurchase of common shares
                                                                         
          sales of equity securities
                                                                     10,715,000   2,289,000 
          repayment of revolving credit agreement borrowings
                                                                         
          net cash provided by operating activities
                                                                         
          net cash used for investing activities
                                                                         
          net cash provided by financing activities
                                                                         
          sales of privately held securities
                                                                       1,786,000  
          increase (decrease) in cash
                                                                         
          deferred income tax asset
                                                                         
          sales of fixed maturity investments
                                                                        1,289,628,000 
          (repayment of) proceeds from revolving credit agreement borrowings
                                                                         
          provision for non-cash compensation
                                                                         
          net realized investment gains
                                                                         
          net unrealized foreign exchange gains
                                                                         
          loan to chairman
                                                                         
          release of escrowed assets
                                                                         
          debt retirement and other