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Unpaid losses and loss expenses (Unpaid Losses and Loss Expenses Rollforward) (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Jan. 14, 2016
Apr. 01, 2015
Unpaid Losses and Loss Expenses [Roll Forward]          
Gross unpaid losses and loss expenses, beginning of year $ 60,540 $ 37,303 $ 38,315    
Reinsurance recoverable on unpaid losses, beginning of year [1] (12,708) [2] (10,741) (11,307)    
Net unpaid losses and loss expenses, beginning of year 47,832 26,562 27,008    
Acquistion of subsidiaries 0     $ 21,402 $ 417
Total 47,832 47,964 27,425    
Net losses and loss expenses incurred in respect of losses incurring in Current Year 19,391 17,256 10,030    
PPD, Gross [3] (937) (1,204) (546)    
Total 18,454 16,052 9,484    
Net losses and loss expenses incurred in respect of losses paid in Current Year 6,575 5,899 4,053    
Net losses and loss expenses incurred in respect of losses paid in Prior Year 10,873 9,816 5,612    
Total 17,448 15,715 9,665    
Foreign currency revaluation and other 327 (469) (682)    
Net unpaid losses and loss expenses, end of year 49,165 47,832 26,562    
Reinsurance recoverable on unpaid losses, end of year [1] 14,014 [2] 12,708 [2] 10,741    
Gross unpaid losses and loss expenses, end of year 63,179 60,540 37,303    
prior period development, net adjustments $ 108 $ 69 $ 0    
[1] (1) Net of provision for uncollectible reinsurance.
[2] (1) Net of a provision for uncollectible reinsurance.
[3] (2) Relates to prior period loss reserve development only and excludes prior period development related to reinstatement premiums, expense adjustments, and earned premiums totaling $108 million, $69 million, and nil, for 2017, 2016, and 2015, respectively.