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Invested Assets and Related Income - Fair Value and Amortized Cost of Tax Exempt Fixed Maturities Other Than Pre-Refunded Bonds (Detail) (USD $)
In Millions, unless otherwise specified
Dec. 31, 2014
Dec. 31, 2013
New York [Member]    
Schedule of Available-For-Sale Securities [Line Items]    
Fair Value $ 2,262cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_StatementGeographicalAxis
= stpr_NY
$ 1,839cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_StatementGeographicalAxis
= stpr_NY
Amortized Cost 2,135cb_AmortizedCostForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_StatementGeographicalAxis
= stpr_NY
1,809cb_AmortizedCostForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_StatementGeographicalAxis
= stpr_NY
Texas [Member]    
Schedule of Available-For-Sale Securities [Line Items]    
Fair Value 1,946cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_StatementGeographicalAxis
= stpr_TX
1,990cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_StatementGeographicalAxis
= stpr_TX
Amortized Cost 1,829cb_AmortizedCostForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_StatementGeographicalAxis
= stpr_TX
1,904cb_AmortizedCostForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_StatementGeographicalAxis
= stpr_TX
California [Member]    
Schedule of Available-For-Sale Securities [Line Items]    
Fair Value 1,507cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_StatementGeographicalAxis
= stpr_CA
1,139cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_StatementGeographicalAxis
= stpr_CA
Amortized Cost 1,422cb_AmortizedCostForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_StatementGeographicalAxis
= stpr_CA
1,093cb_AmortizedCostForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_StatementGeographicalAxis
= stpr_CA
Illinois [Member]    
Schedule of Available-For-Sale Securities [Line Items]    
Fair Value 1,086cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_StatementGeographicalAxis
= stpr_IL
1,116cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_StatementGeographicalAxis
= stpr_IL
Amortized Cost 1,022cb_AmortizedCostForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_StatementGeographicalAxis
= stpr_IL
1,094cb_AmortizedCostForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_StatementGeographicalAxis
= stpr_IL
Florida [Member]    
Schedule of Available-For-Sale Securities [Line Items]    
Fair Value 1,080cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_StatementGeographicalAxis
= stpr_FL
903cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_StatementGeographicalAxis
= stpr_FL
Amortized Cost 1,017cb_AmortizedCostForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_StatementGeographicalAxis
= stpr_FL
877cb_AmortizedCostForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_StatementGeographicalAxis
= stpr_FL
Special Revenue Bonds [Member] | New York [Member]    
Schedule of Available-For-Sale Securities [Line Items]    
Fair Value 2,046cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= cb_SpecialRevenuesBondMember
/ us-gaap_StatementGeographicalAxis
= stpr_NY
1,611cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= cb_SpecialRevenuesBondMember
/ us-gaap_StatementGeographicalAxis
= stpr_NY
Special Revenue Bonds [Member] | Texas [Member]    
Schedule of Available-For-Sale Securities [Line Items]    
Fair Value 883cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= cb_SpecialRevenuesBondMember
/ us-gaap_StatementGeographicalAxis
= stpr_TX
930cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= cb_SpecialRevenuesBondMember
/ us-gaap_StatementGeographicalAxis
= stpr_TX
Special Revenue Bonds [Member] | California [Member]    
Schedule of Available-For-Sale Securities [Line Items]    
Fair Value 1,098cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= cb_SpecialRevenuesBondMember
/ us-gaap_StatementGeographicalAxis
= stpr_CA
859cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= cb_SpecialRevenuesBondMember
/ us-gaap_StatementGeographicalAxis
= stpr_CA
Special Revenue Bonds [Member] | Illinois [Member]    
Schedule of Available-For-Sale Securities [Line Items]    
Fair Value 608cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= cb_SpecialRevenuesBondMember
/ us-gaap_StatementGeographicalAxis
= stpr_IL
577cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= cb_SpecialRevenuesBondMember
/ us-gaap_StatementGeographicalAxis
= stpr_IL
Special Revenue Bonds [Member] | Florida [Member]    
Schedule of Available-For-Sale Securities [Line Items]    
Fair Value 850cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= cb_SpecialRevenuesBondMember
/ us-gaap_StatementGeographicalAxis
= stpr_FL
757cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= cb_SpecialRevenuesBondMember
/ us-gaap_StatementGeographicalAxis
= stpr_FL
Municipal and Political Subdivision General Obligation Bonds [Member] | New York [Member]    
Schedule of Available-For-Sale Securities [Line Items]    
Fair Value 173cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= cb_MunicipalAndPoliticalSubdivisionGeneralObligationBondsMember
/ us-gaap_StatementGeographicalAxis
= stpr_NY
197cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= cb_MunicipalAndPoliticalSubdivisionGeneralObligationBondsMember
/ us-gaap_StatementGeographicalAxis
= stpr_NY
Municipal and Political Subdivision General Obligation Bonds [Member] | Texas [Member]    
Schedule of Available-For-Sale Securities [Line Items]    
Fair Value 852cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= cb_MunicipalAndPoliticalSubdivisionGeneralObligationBondsMember
/ us-gaap_StatementGeographicalAxis
= stpr_TX
830cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= cb_MunicipalAndPoliticalSubdivisionGeneralObligationBondsMember
/ us-gaap_StatementGeographicalAxis
= stpr_TX
Municipal and Political Subdivision General Obligation Bonds [Member] | California [Member]    
Schedule of Available-For-Sale Securities [Line Items]    
Fair Value 153cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= cb_MunicipalAndPoliticalSubdivisionGeneralObligationBondsMember
/ us-gaap_StatementGeographicalAxis
= stpr_CA
82cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= cb_MunicipalAndPoliticalSubdivisionGeneralObligationBondsMember
/ us-gaap_StatementGeographicalAxis
= stpr_CA
Municipal and Political Subdivision General Obligation Bonds [Member] | Illinois [Member]    
Schedule of Available-For-Sale Securities [Line Items]    
Fair Value 381cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= cb_MunicipalAndPoliticalSubdivisionGeneralObligationBondsMember
/ us-gaap_StatementGeographicalAxis
= stpr_IL
483cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= cb_MunicipalAndPoliticalSubdivisionGeneralObligationBondsMember
/ us-gaap_StatementGeographicalAxis
= stpr_IL
Municipal and Political Subdivision General Obligation Bonds [Member] | Florida [Member]    
Schedule of Available-For-Sale Securities [Line Items]    
Fair Value 63cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= cb_MunicipalAndPoliticalSubdivisionGeneralObligationBondsMember
/ us-gaap_StatementGeographicalAxis
= stpr_FL
38cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= cb_MunicipalAndPoliticalSubdivisionGeneralObligationBondsMember
/ us-gaap_StatementGeographicalAxis
= stpr_FL
State General Obligation Bonds [Member] | New York [Member]    
Schedule of Available-For-Sale Securities [Line Items]    
Fair Value 43cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= cb_StateGeneralObligationBondsMember
/ us-gaap_StatementGeographicalAxis
= stpr_NY
31cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= cb_StateGeneralObligationBondsMember
/ us-gaap_StatementGeographicalAxis
= stpr_NY
State General Obligation Bonds [Member] | Texas [Member]    
Schedule of Available-For-Sale Securities [Line Items]    
Fair Value 211cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= cb_StateGeneralObligationBondsMember
/ us-gaap_StatementGeographicalAxis
= stpr_TX
230cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= cb_StateGeneralObligationBondsMember
/ us-gaap_StatementGeographicalAxis
= stpr_TX
State General Obligation Bonds [Member] | California [Member]    
Schedule of Available-For-Sale Securities [Line Items]    
Fair Value 256cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= cb_StateGeneralObligationBondsMember
/ us-gaap_StatementGeographicalAxis
= stpr_CA
198cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= cb_StateGeneralObligationBondsMember
/ us-gaap_StatementGeographicalAxis
= stpr_CA
State General Obligation Bonds [Member] | Illinois [Member]    
Schedule of Available-For-Sale Securities [Line Items]    
Fair Value 97cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= cb_StateGeneralObligationBondsMember
/ us-gaap_StatementGeographicalAxis
= stpr_IL
56cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= cb_StateGeneralObligationBondsMember
/ us-gaap_StatementGeographicalAxis
= stpr_IL
State General Obligation Bonds [Member] | Florida [Member]    
Schedule of Available-For-Sale Securities [Line Items]    
Fair Value $ 167cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= cb_StateGeneralObligationBondsMember
/ us-gaap_StatementGeographicalAxis
= stpr_FL
$ 108cb_FairValueForTaxExemptFixedMaturitiesOtherThanPreRefundedBondsForFiveLargestStatesWithinTaxExemptFixedMaturityPortfolio
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= cb_StateGeneralObligationBondsMember
/ us-gaap_StatementGeographicalAxis
= stpr_FL