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Losses and Loss Expenses - Loss Reserve Rollforward and Components of Net Losses and Loss Expenses (Details) - USD ($)
$ in Thousands
12 Months Ended
Dec. 31, 2015
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2015
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]        
Net losses and loss expenses incurred $ 4,766,200 $ 3,258,393 $ 3,731,464  
Liability for Unpaid Claims and Claims Adjustment Expense [Roll Forward]        
Unpaid losses and loss expenses at beginning of year 19,353,243 20,481,065 20,484,121  
Unpaid losses and loss expenses recoverable, beginning of year 3,411,528 3,414,735 3,361,703  
Net unpaid losses and loss expenses at beginning of year 15,941,715 17,066,330 17,122,418  
Increase (decrease) in net losses and loss expenses incurred in respect of losses occurring in:        
Current year 5,072,830 3,513,465 4,021,353  
Prior year development (306,630) (255,072) (289,889)  
Total net incurred losses and loss expenses 4,766,200 3,258,393 3,731,464  
Loss and loss expense reserves acquired in business combination 5,439,876 0 0  
Exchange rate effects (582,300) (561,673) 40,587  
Less net losses and loss expenses paid in respect of losses occurring in:        
Current year 1,047,277 381,008 425,254  
Prior years 4,327,375 3,440,327 3,402,885  
Total net paid losses 5,374,652 3,821,335 3,828,139  
Net unpaid losses and loss expenses at end of year 20,190,839 15,941,715 17,066,330  
Unpaid losses and loss expenses recoverable, end of year 3,411,528 3,414,735 3,361,703 $ 5,248,905
Unpaid losses and loss expenses at end of year 25,439,744 19,353,243 20,481,065  
Loss and loss expenses payments        
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]        
Net losses and loss expenses incurred 6,505,075 4,499,642 4,496,802  
Change in unpaid losses and loss expenses        
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]        
Net losses and loss expenses incurred (168,263) (514,406) (71,901)  
Change in unpaid losses and loss expenses recoverable        
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]        
Net losses and loss expenses incurred (440,189) (48,536) (24,774)  
Paid loss recoveries        
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]        
Net losses and loss expenses incurred $ (1,130,423) $ (678,307) $ (668,663)