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Taxation (Details) (USD $)
In Thousands, unless otherwise specified
3 Months Ended 12 Months Ended
Dec. 31, 2013
Sep. 30, 2013
Jun. 30, 2013
Mar. 31, 2013
Dec. 31, 2012
Sep. 30, 2012
Jun. 30, 2012
Mar. 31, 2012
Dec. 31, 2013
Dec. 31, 2012
Dec. 31, 2011
Current income tax expense [abstract]                      
Current income tax expense                 $ 129,592 $ 144,865 $ 154,333
Deferred income tax expense (benefit) [abstract]                      
Deferred income tax (benefit) expense                 (84,579) 55,457 (44,892)
Unrecognized tax expense (benefit) [abstract]                      
Unrecognized tax expense (benefit) 3,403       3,962       3,403 3,962 (40,469)
Total income tax expense [Abstract]                      
Total income tax expense 11,000 70,000 (75,000) 42,000 23,000 64,000 50,000 67,000 48,416 204,284 68,972
Income Before Taxes [Abstract]                      
Income (loss) before taxes                 721,858 1,338,798 (451,319)
Reconciliation of effective tax rate (% of income (loss) before taxes)                      
Expected tax rate                 0.00% 0.00% 0.00%
Foreign taxes at local expected tax rates                 5.10% 14.60% (7.20%)
Impact of foreign exchange (losses) gains                 (1.10%) (0.40%) 0.40%
Unrecognized tax benefit                 0.50% 0.30% 9.00%
Tax-exempt income and expenses not deductible                 (0.90%) (0.30%) (11.60%)
Impact of enacted changes in tax laws                 1.80% 0.70% 0.00%
Foreign branch tax                 (1.40%) (0.70%) (5.70%)
Valuation allowance                 1.30% 1.20% (1.90%)
Other                 1.40% (0.10%) 1.70%
Actual tax rate                 6.70% 15.30% (15.30%)
US [Member]
                     
Current income tax expense [abstract]                      
Current income tax expense                 55,993 29,196 82,065
Deferred income tax expense (benefit) [abstract]                      
Deferred income tax (benefit) expense                 (13,693) 48,740 (36,780)
Unrecognized tax expense (benefit) [abstract]                      
Unrecognized tax expense (benefit) (335)       (623)       (335) (623) 81
Total income tax expense [Abstract]                      
Total income tax expense                 41,965 77,313 45,366
Non-US [Member]
                     
Current income tax expense [abstract]                      
Current income tax expense                 73,599 115,669 72,268
Deferred income tax expense (benefit) [abstract]                      
Deferred income tax (benefit) expense                 (70,886) 6,717 (8,112)
Unrecognized tax expense (benefit) [abstract]                      
Unrecognized tax expense (benefit) 3,738       4,585       3,738 4,585 (40,550)
Total income tax expense [Abstract]                      
Total income tax expense                 6,451 126,971 23,606
Domestic (Bermuda)
                     
Income Before Taxes [Abstract]                      
Income (loss) before taxes                 611,900 661,648 (634,310)
Foreign
                     
Income Before Taxes [Abstract]                      
Income (loss) before taxes                 $ 109,958 $ 677,150 $ 182,991