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Non-life and Life and Health Reserves - Loss and loss expenses (Details) - USD ($)
$ in Thousands
12 Months Ended
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Reconciliation of loss and loss expense      
Gross liability at beginning of period $ 1,984,096 $ 2,051,935  
Reinsurance recoverable at beginning of period 31,372 42,773  
Net liability at beginning of period 1,952,724 2,009,162  
Liability acquired related to the acquisition of Aurigen 67,916 0  
Net incurred losses 3,840,982 3,248,091 $ 3,157,420
Net losses paid (396,927) (331,785) (250,720)
Effects of foreign exchange rate changes 407,328 (220,207) (417,605)
Net liability at end of period 2,449,869 1,952,724 2,009,162
Reinsurance recoverable at end of period 40,605 31,372 42,773
Gross liability at end of period 2,490,474 1,984,096 2,051,935
Non Life      
Reconciliation of loss and loss expense      
Net incurred losses 2,574,768 2,320,820 2,192,999
Life and Health      
Reconciliation of loss and loss expense      
Net incurred losses 1,266,214 927,271 $ 964,421
Net losses paid (1,017,673) (844,156)  
Effects of foreign exchange rate changes $ 180,688 $ (139,553)