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Schedule III - Supplementary Insurance Information (Details) - USD ($)
$ in Thousands
12 Months Ended
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Supplementary Insurance Information, by Segment [Line Items]      
Deferred Acquisition Costs $ 581,863 $ 511,573 $ 411,587
Reverse for Losses and Loss Adjustment Expenses 13,611,313 13,119,090 11,884,321
Unearned Premium Reserves 3,056,735 2,517,612 2,000,556
Premiums Earned 7,403,686 6,931,699 5,937,840
Net Investment Income 647,139    
Incurred Loss and Loss Adjustment Expenses 4,922,898 5,651,403 4,522,581
Amortization of Deferred Acquisition Costs 1,703,726 1,519,030 1,303,963
Other Operating Expenses 440,899 371,541 318,817
Net Written Premium 7,824,424 7,414,428 6,244,661
Domestic Country [Member]      
Supplementary Insurance Information, by Segment [Line Items]      
Deferred Acquisition Costs 358,108 334,818 289,636
Reverse for Losses and Loss Adjustment Expenses 7,823,095 8,154,003 7,254,043
Unearned Premium Reserves 2,014,712 1,695,208 1,460,291
Premiums Earned 4,383,837 4,167,619 3,642,547
Net Investment Income 320,923    
Incurred Loss and Loss Adjustment Expenses 2,761,871 3,849,982 2,727,649
Amortization of Deferred Acquisition Costs 1,007,282 835,823 712,568
Other Operating Expenses 348,861 288,933 241,962
Net Written Premium 4,605,731 4,350,157 3,875,982
International Country [Member]      
Supplementary Insurance Information, by Segment [Line Items]      
Deferred Acquisition Costs 66,183 54,253 53,186
Reverse for Losses and Loss Adjustment Expenses 2,655,458 2,209,202 2,175,500
Unearned Premium Reserves 344,222 261,611 253,626
Premiums Earned 1,475,669 1,439,882 1,202,043
Net Investment Income 37,297    
Incurred Loss and Loss Adjustment Expenses 1,193,816 992,704 1,059,640
Amortization of Deferred Acquisition Costs 342,400 364,010 287,688
Other Operating Expenses 41,690 39,042 38,844
Net Written Premium 1,551,753 1,458,745 1,229,597
Bermuda Country [Member]      
Supplementary Insurance Information, by Segment [Line Items]      
Deferred Acquisition Costs 157,572 122,502 68,765
Reverse for Losses and Loss Adjustment Expenses 3,132,760 2,755,885 2,454,778
Unearned Premium Reserves 697,801 560,793 286,639
Premiums Earned 1,544,180 1,324,198 1,093,250
Net Investment Income 288,919    
Incurred Loss and Loss Adjustment Expenses 967,211 808,717 735,292
Amortization of Deferred Acquisition Costs 354,044 319,197 303,707
Other Operating Expenses 50,348 43,566 38,011
Net Written Premium $ 1,666,940 $ 1,605,526 $ 1,139,082