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Share-based compensation (Narrative) (Detail) - USD ($) | 12 Months Ended
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Dec. 31, 2019 | Dec. 31, 2018 | Dec. 31, 2017
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Unrecognized compensation expense related to the unvested share-based awards | $ 205,000,000 |  |
Weighted-average expected recognition period for the unrecognized compensation expense | 1 year |  |
Weighted average remaining contractual term for stock options outstanding | 6 years 1 month 6 days |  |
Weighted-average remaining contractual term for stock options exercisable | 4 years 9 months 18 days |  |
Cash received from exercise of stock options | $ 163,000,000 |  |
Restricted stock awards granted to non-management directors | 19,019 | 20,784 | 22,013
Amounts paid during period by employees for the purchase of shares under the ESPP | $ 41,000,000 | $ 37,000,000 | $ 34,000,000
Number of shares purchased during period by employees pursuant to the provisions of the ESPP | 321,800 | 347,116 | 271,185
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 | 201,666 |  |
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 | 1,785,978 |  |
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 | 10,789,285 |  |

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