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Share-based compensation (Narrative) (Detail) - USD ($)
12 Months Ended
Dec. 31, 2020
Dec. 31, 2019
Dec. 31, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Unrecognized compensation expense related to the unvested share-based awards $ 199,000,000    
Weighted-average expected recognition period for the unrecognized compensation expense 1 year    
Weighted average remaining contractual term for stock options outstanding 6 years    
Weighted-average remaining contractual term for stock options exercisable 4 years 9 months 18 days    
Cash received from exercise of stock options $ 100,000,000    
Restricted stock awards granted to non-management directors 27,679 19,019 20,784
Amounts paid during period by employees for the purchase of shares under the ESPP $ 45,000,000 $ 41,000,000 $ 37,000,000
Number of shares purchased during period by employees pursuant to the provisions of the ESPP 383,751 321,800 347,116
Discounted purchase price from market price for the ESPP 85.00%    
Share-based Compensation Arrangement by Share-based Payment Award, Maximum Employee Subscription Rate for the ESPP 10.00%    
Maximum      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Employee Stock Purchase Plan Authorized Amount $ 25,000    
Performance Shares      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period of award 3 years    
Stock options      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period of award 3 years    
Stock option term in years 10 years    
Restricted stock      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period of award 4 years    
Restricted Stock Units (RSUs)      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period of award 1 year    
Number of deferred restricted stock units 166,624    
Restricted Stock Units (RSUs) | Minimum [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period of award 1 year    
Restricted Stock Units (RSUs) | Maximum      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period of award 3 years    
ACE Limited 2004 Long-Term Incentive Plan [Member] | Restricted stock      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period of award 4 years    
Common shares | Employee Stock [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Common shares authorized for issuance under plan 6,500,000    
Common Stock, Capital Shares Reserved for Future Issuance 1,402,017    
Common shares | Chubb Limited 2016 Long-Term Incentive Plan [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Common shares authorized for issuance under plan 19,500,000    
Common Stock, Capital Shares Reserved for Future Issuance 7,576,239