Because each underwriter sizes capital against the risk of that underwriter's overall portfolio, and underwriting can be diversifying for a non traditional participant, the sum of the underwriters' incremental Values at Risk may be less than the Value at Risk of a single insurance firm writing the same contracts.
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As a result, the sum of the incremental VaRs (Value at Risk amounts) of the individual underwriters may be less than the VaR of an insurance firm that has underwritten the same contracts.
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