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Reserves for Loss and Loss Expenses (Details) - USD ($)
$ in Thousands
3 Months Ended
Mar. 31, 2018
Mar. 31, 2017
Dec. 31, 2017
Liability for Unpaid Claims and Claims Adjustment Expense [Roll Forward]      
Net reserves at beginning of year $ 10,056,914 $ 9,590,265  
Net provision for losses and loss expenses:      
Claims occurring during the current year 956,181 958,684  
Decrease in estimates for claims occurring in prior years (3,582) 8,727  
Loss reserve discount accretion 10,620 12,192  
Liability for Unpaid Claims and Claims Adjustment Expense, Incurred Claims 963,219 979,603  
Net payments for claims:      
Current year 111,030 97,461  
Prior year 810,709 773,571  
Total 921,739 871,032  
Foreign currency translation 2,501 23,204  
Net reserves at end of period 10,100,895 9,722,040  
Ceded reserve at end of period 1,684,000 1,502,284  
Gross reserves at end of period $ 11,784,895 $ 11,224,324 $ 11,670,408