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Invested Assets and Related Income - Amortized Cost and Fair Value of Fixed Maturities and Equity Securities (Detail) (USD $)
In Millions, unless otherwise specified
Dec. 31, 2014
Dec. 31, 2013
Investment Holdings [Line Items]    
Fixed maturities, Amortized Cost $ 36,958us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis $ 35,959us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
Fixed maturities, Gross Unrealized Appreciation 1,884us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax 1,457us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
Fixed maturities, Gross Unrealized Depreciation 62us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax 325us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
Fixed maturities, Fair Value 38,780us-gaap_AvailableForSaleSecuritiesDebtSecurities 37,091us-gaap_AvailableForSaleSecuritiesDebtSecurities
Equity securities, Amortized Cost 1,089us-gaap_AvailableForSaleEquitySecuritiesAmortizedCostBasis 1,057us-gaap_AvailableForSaleEquitySecuritiesAmortizedCostBasis
Equity securities, Gross Unrealized Appreciation 894us-gaap_AvailableForSaleEquitySecuritiesAccumulatedGrossUnrealizedGainBeforeTax 756us-gaap_AvailableForSaleEquitySecuritiesAccumulatedGrossUnrealizedGainBeforeTax
Equity securities, Gross Unrealized Depreciation 19us-gaap_AvailableForSaleEquitySecuritiesAccumulatedGrossUnrealizedLossBeforeTax 3us-gaap_AvailableForSaleEquitySecuritiesAccumulatedGrossUnrealizedLossBeforeTax
Equity securities, Fair Value 1,964us-gaap_AvailableForSaleSecuritiesEquitySecurities 1,810us-gaap_AvailableForSaleSecuritiesEquitySecurities
Tax Exempt [Member]    
Investment Holdings [Line Items]    
Fixed maturities, Amortized Cost 18,614us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxExemptMember
17,808us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxExemptMember
Fixed maturities, Gross Unrealized Appreciation 1,174us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxExemptMember
802us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxExemptMember
Fixed maturities, Gross Unrealized Depreciation 16us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxExemptMember
189us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxExemptMember
Fixed maturities, Fair Value 19,772us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxExemptMember
18,421us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxExemptMember
Taxable [Member]    
Investment Holdings [Line Items]    
Fixed maturities, Amortized Cost 18,344us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
18,151us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
Fixed maturities, Gross Unrealized Appreciation 710us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
655us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
Fixed maturities, Gross Unrealized Depreciation 46us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
136us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
Fixed maturities, Fair Value 19,008us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
18,670us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
Taxable [Member] | Residential Mortgage-backed Securities [Member]    
Investment Holdings [Line Items]    
Fixed maturities, Amortized Cost 192us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
277us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
Fixed maturities, Gross Unrealized Appreciation 20us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
23us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
Fixed maturities, Gross Unrealized Depreciation 1us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
1us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
Fixed maturities, Fair Value 211us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
299us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
Taxable [Member] | Commercial Mortgage-backed Securities [Member]    
Investment Holdings [Line Items]    
Fixed maturities, Amortized Cost 1,069us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CommercialMortgageBackedSecuritiesMember
1,339us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CommercialMortgageBackedSecuritiesMember
Fixed maturities, Gross Unrealized Appreciation 22us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CommercialMortgageBackedSecuritiesMember
29us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CommercialMortgageBackedSecuritiesMember
Fixed maturities, Gross Unrealized Depreciation 1us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CommercialMortgageBackedSecuritiesMember
3us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CommercialMortgageBackedSecuritiesMember
Fixed maturities, Fair Value 1,090us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CommercialMortgageBackedSecuritiesMember
1,365us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CommercialMortgageBackedSecuritiesMember
Taxable [Member] | U.S. Government and Government Agency and Authority Obligations [Member]    
Investment Holdings [Line Items]    
Fixed maturities, Amortized Cost 1,962us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasuryAndGovernmentMember
784us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasuryAndGovernmentMember
Fixed maturities, Gross Unrealized Appreciation 46us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasuryAndGovernmentMember
27us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasuryAndGovernmentMember
Fixed maturities, Gross Unrealized Depreciation 1us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasuryAndGovernmentMember
9us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasuryAndGovernmentMember
Fixed maturities, Fair Value 2,007us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasuryAndGovernmentMember
802us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_USTreasuryAndGovernmentMember
Taxable [Member] | Corporate Bonds [Member]    
Investment Holdings [Line Items]    
Fixed maturities, Amortized Cost 8,741us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateBondSecuritiesMember
9,032us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateBondSecuritiesMember
Fixed maturities, Gross Unrealized Appreciation 327us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateBondSecuritiesMember
370us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateBondSecuritiesMember
Fixed maturities, Gross Unrealized Depreciation 40us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateBondSecuritiesMember
88us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateBondSecuritiesMember
Fixed maturities, Fair Value 9,028us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateBondSecuritiesMember
9,314us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_CorporateBondSecuritiesMember
Taxable [Member] | Foreign Government and Government Agency Obligations [Member]    
Investment Holdings [Line Items]    
Fixed maturities, Amortized Cost 6,380us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_ForeignGovernmentDebtMember
6,719us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_ForeignGovernmentDebtMember
Fixed maturities, Gross Unrealized Appreciation 295us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_ForeignGovernmentDebtMember
206us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_ForeignGovernmentDebtMember
Fixed maturities, Gross Unrealized Depreciation 3us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_ForeignGovernmentDebtMember
35us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_ForeignGovernmentDebtMember
Fixed maturities, Fair Value $ 6,672us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_ForeignGovernmentDebtMember
$ 6,890us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_IncomeTaxAuthorityAxis
= cb_TaxableMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_ForeignGovernmentDebtMember