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Share-based compensation (Rollforward Of Company's Stock Options) (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Options, Weighted-Average Fair Value and Total Intrinsic Value [Abstract]      
Weighted-average fair value of stock options granted (US$ per share) $ 29.71 $ 22.97 $ 21.52
Total intrinsic value of options exercised $ 71 $ 111 $ 99
Total intrinsic value of options outstanding 274    
Total intrinsic value of options exercisable $ 268    
Number of Options [Roll Forward]      
Number of option outstanding, beginning of period 10,433,316 10,180,720 9,853,496
Number of options granted 1,842,690 2,079,522 1,929,616
Number of options exercised (1,065,384) (1,632,629) (1,728,949)
Number of options forfeited (202,900) (194,297) (213,339)
Number of option outstanding, end of period 11,007,722 10,433,316 10,180,720
Number of options exercisable 7,405,354    
Weighted-Average Exercise Price [Roll Forward]      
Weighted-average exercise price of options outstanding, beginning of period (US$ oer share) $ 99.20 $ 87.29 $ 78.40
Weighted-average exercise price of options granted (US$ per share) 143.07 139.00 118.39
Weighted-average exercise price of options exercised (US$ per share) 73.57 73.53 66.65
Weighted average exercise price of options forfeited (US$ per share) 133.92 119.44 110.01
Weighted-average exercise price of options outstanding, end of period (US$ oer share 108.25 $ 99.20 87.29
Weighted average exercise price of options exercisable (US$ per share) $ 93.88    
The Chubb Corporation [Member]      
Options, Weighted-Average Fair Value and Total Intrinsic Value [Abstract]      
Weighted-average fair value of stock options granted (US$ per share)     $ 36.07
Number of Options [Roll Forward]      
Number of options granted     339,896
Weighted-Average Exercise Price [Roll Forward]      
Weighted-average exercise price of options granted (US$ per share)     $ 77.83