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Fair Values of Financial Instruments - Additional Information (Detail)
Mar. 31, 2015
Dec. 31, 2014
Debt Instrument Fair Value Carrying Value [Abstract]    
Percentage of fair value amounts for fixed maturities provided by a pricing service 99.00%cb_PercentageOfFairValueAmountsForFixedMaturitiesProvidedByPricingService 99.00%cb_PercentageOfFairValueAmountsForFixedMaturitiesProvidedByPricingService