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Investments in fixed maturity securities - Amortized cost and estimated fair value of fixed maturity securities (Detail) - USD ($)
$ in Millions
Dec. 31, 2017
Dec. 31, 2016
Summary of Investment Holdings [Line Items]    
Due in one year or less - amortized cost $ 6,123  
Due after one year through five years - amortized cost 11,020  
Due after five years through ten years - amortized cost 510  
Due after ten years - amortized cost 2,020  
Amortized cost of fixed maturity securities 20,445 $ 22,404
Due in one year or less - fair value 6,175  
Due after one year through five years - fair value 11,183  
Due after five years through ten years - fair value 557  
Due after ten years - fair value 2,576  
Fair value of fixed maturity securities 21,353 23,432
Mortgage-backed securities [Member]    
Summary of Investment Holdings [Line Items]    
Amortized cost of mortgage-backed securities 772  
Amortized cost of fixed maturity securities 772 967
Fair value of mortgage-backed securities 862  
Fair value of fixed maturity securities $ 862 $ 1,084