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Reserves for Loss and Loss Expenses (Details) - USD ($)
$ in Thousands
6 Months Ended
Jun. 30, 2018
Jun. 30, 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 1,916,140 1,926,394  
Decrease in estimates for claims occurring in prior years (246) (6,459)  
Loss reserve discount accretion 20,962 24,367  
Liability for Unpaid Claims and Claims Adjustment Expense, Incurred Claims 1,936,856 1,944,302  
Net payments for claims:      
Current year 316,567 315,437  
Prior year 1,527,522 1,432,828  
Total 1,844,089 1,748,265  
Foreign currency translation (72,351) 37,097  
Net reserves at end of period 10,077,330 9,823,399  
Ceded reserves at end of period 1,659,245 1,500,868  
Gross reserves at end of period $ 11,736,575 $ 11,324,267 $ 11,670,408