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Industry Segments (Financial Information of Company Operating Segments) (Details) (USD $)
In Thousands, unless otherwise specified
3 Months Ended 12 Months Ended
Dec. 31, 2012
Sep. 30, 2012
Jun. 30, 2012
Mar. 31, 2012
Dec. 31, 2011
Sep. 30, 2011
Jun. 30, 2011
Mar. 31, 2011
Dec. 31, 2012
Dec. 31, 2011
Dec. 31, 2010
Earned Premiums                 $ 4,673,516 $ 4,160,867 $ 3,835,582
Investment Income                 586,763 526,351 530,525
Other Revenues                 563,275 468,766 357,962
Total revenues 1,608,601 1,420,501 1,415,747 1,378,705 1,370,953 1,279,731 1,270,949 1,234,351 5,823,554 5,155,984 4,724,069
Pre-Tax Income (Loss)                 701,928 513,086 598,910
Net Income (Loss) 165,489 100,947 108,838 135,318 117,027 76,410 82,184 115,590 510,592 391,211 446,405
Specialty Segment [Member]
                     
Earned Premiums                 1,646,471 1,442,748 1,288,373
Investment Income                 186,998 175,289 180,063
Other Revenues                 2,348 2,704 3,130
Total revenues                 1,835,817 1,620,741 1,471,566
Pre-Tax Income (Loss)                 261,856 290,937 294,825
Net Income (Loss)                 186,270 210,687 213,586
Regional Segment [Member]
                     
Earned Premiums                 1,090,217 1,065,975 1,066,922
Investment Income                 81,635 75,404 82,411
Other Revenues                 6,406 4,112 3,114
Total revenues                 1,178,258 1,145,491 1,152,447
Pre-Tax Income (Loss)                 122,211 30,529 115,828
Net Income (Loss)                 86,450 29,127 85,334
Alternative Markets Segment [Member]
                     
Earned Premiums                 680,334 612,558 608,191
Investment Income                 156,154 121,360 123,309
Other Revenues                 94,379 86,031 79,173
Total revenues                 930,867 819,949 810,673
Pre-Tax Income (Loss)                 194,433 145,660 178,485
Net Income (Loss)                 139,795 109,618 131,047
Reinsurance Segment [Member]
                     
Earned Premiums                 446,939 426,008 419,356
Investment Income                 96,123 91,871 103,079
Other Revenues                 0 0 0
Total revenues                 543,062 517,879 522,435
Pre-Tax Income (Loss)                 93,268 83,150 129,449
Net Income (Loss)                 68,881 65,356 96,708
International Segment [Member]
                     
Earned Premiums                 809,555 613,578 452,740
Investment Income                 56,605 42,882 32,794
Other Revenues                 0 0 0
Total revenues                 866,160 656,460 485,534
Pre-Tax Income (Loss)                 62,061 39,033 20,719
Net Income (Loss)                 25,390 25,158 14,516
Corporate, Other and Eliminations Segment [Member]
                     
Earned Premiums                 0 [1] 0 [1] 0 [1]
Investment Income                 9,248 [1] 19,545 [1] 8,869 [1]
Other Revenues                 249,677 [1] 250,438 [1] 215,964 [1]
Total revenues                 258,925 [1] 269,983 [1] 224,833 [1]
Pre-Tax Income (Loss)                 (242,366) [1] (201,704) [1] (196,977) [1]
Net Income (Loss)                 (132,996) [1] (130,382) [1] (131,660) [1]
Net Investment Gains Segment [Member]
                     
Earned Premiums                 0 0 0
Investment Income                 0 0 0
Other Revenues                 210,465 125,481 56,581
Total revenues                 210,465 125,481 56,581
Pre-Tax Income (Loss)                 210,465 125,481 56,581
Net Income (Loss)                 $ 136,802 $ 81,647 $ 36,874
[1] Corporate, other and eliminations represent corporate revenues and expenses, net investment gains and losses and other items that are not allocated to business segments.