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Invested Assets and Related Income - Change in Unrealized Appreciation or Depreciation of Investments Carried at Fair Value (Detail) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Investments, Debt and Equity Securities [Abstract]      
Change in unrealized appreciation of fixed maturities $ 690cb_FixedMaturitiesChangeInUnrealizedAppreciationOrDepreciation $ (1,546)cb_FixedMaturitiesChangeInUnrealizedAppreciationOrDepreciation $ 256cb_FixedMaturitiesChangeInUnrealizedAppreciationOrDepreciation
Change in unrealized appreciation of equity securities 122cb_EquitySecuritiesChangeInUnrealizedAppreciationOrDepreciation 334cb_EquitySecuritiesChangeInUnrealizedAppreciationOrDepreciation 171cb_EquitySecuritiesChangeInUnrealizedAppreciationOrDepreciation
Change in unrealized appreciation of fixed maturities and equity securities 812us-gaap_AvailableForSaleSecuritiesChangeInNetUnrealizedHoldingGainLoss (1,212)us-gaap_AvailableForSaleSecuritiesChangeInNetUnrealizedHoldingGainLoss 427us-gaap_AvailableForSaleSecuritiesChangeInNetUnrealizedHoldingGainLoss
Deferred income tax (credit) 284us-gaap_AvailableForSaleSecuritiesIncomeTaxExpenseOnChangeInUnrealizedHoldingGainOrLoss (424)us-gaap_AvailableForSaleSecuritiesIncomeTaxExpenseOnChangeInUnrealizedHoldingGainOrLoss 150us-gaap_AvailableForSaleSecuritiesIncomeTaxExpenseOnChangeInUnrealizedHoldingGainOrLoss
Total change in unrealized appreciation (depreciation) of fixed maturities and equity securities, Net of tax $ 528us-gaap_AvailableForSaleSecuritiesChangeInNetUnrealizedHoldingGainLossNetOfTax $ (788)us-gaap_AvailableForSaleSecuritiesChangeInNetUnrealizedHoldingGainLossNetOfTax $ 277us-gaap_AvailableForSaleSecuritiesChangeInNetUnrealizedHoldingGainLossNetOfTax