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Invested Assets - Components of Unrealized Appreciation or Depreciation of Investments (Detail) (USD $)
In Millions, unless otherwise specified
Mar. 31, 2015
Dec. 31, 2014
Investments, Debt and Equity Securities [Abstract]    
Fixed maturities, Gross Unrealized Appreciation $ 2,022us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax $ 1,884us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
Fixed maturities, Gross Unrealized Depreciation 48us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax 62us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
Fixed maturities, Unrealized appreciation (depreciation), Net 1,974cb_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainLossBeforeTax 1,822cb_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainLossBeforeTax
Equity securities, Gross Unrealized Appreciation 900us-gaap_AvailableForSaleEquitySecuritiesAccumulatedGrossUnrealizedGainBeforeTax 894us-gaap_AvailableForSaleEquitySecuritiesAccumulatedGrossUnrealizedGainBeforeTax
Equity securities, Gross Unrealized Depreciation 10us-gaap_AvailableForSaleEquitySecuritiesAccumulatedGrossUnrealizedLossBeforeTax 19us-gaap_AvailableForSaleEquitySecuritiesAccumulatedGrossUnrealizedLossBeforeTax
Equity securities, Unrealized appreciation (depreciation), Net 890cb_AvailableForSaleEquitySecuritiesAccumulatedGrossUnrealizedGainLossBeforeTax 875cb_AvailableForSaleEquitySecuritiesAccumulatedGrossUnrealizedGainLossBeforeTax
Total fixed maturities and equity securities, Unrealized appreciation (depreciation), Net 2,864us-gaap_AvailableForSaleSecuritiesAccumulatedGrossUnrealizedGainLossBeforeTax 2,697us-gaap_AvailableForSaleSecuritiesAccumulatedGrossUnrealizedGainLossBeforeTax
Deferred income tax liability 1,002cb_DeferredIncomeTaxAssetLiability 944cb_DeferredIncomeTaxAssetLiability
Total fixed maturities and equity securities, Unrealized appreciation (depreciation), Net of tax $ 1,862cb_FixedMaturitiesAndEquitySecuritiesUnrealizedAppreciationDepreciationNetOfTax $ 1,753cb_FixedMaturitiesAndEquitySecuritiesUnrealizedAppreciationDepreciationNetOfTax