Financial undertakings often have to deal with liabilities of the form 'non-hedgeable claim size times value of a tradeable asset', e.g. foreign property insurance claims times fx rates. Which strategy to invest in the tradeable asset is risk minimal? We expand the capital requirements based on value-at-risk and expected shortfall using perturbation techniques. We derive a stable and fairly model independent approximation of the risk minimal asset allocation in terms of the claim size distribution and the first three moments of asset return. The results enable a correct and easy-to-implement modularization of capital requirements into a market risk and a non-hedgeable risk component: the paper provides a stable expression for the financial benchmark against which the company's asset allocation must be measured to obtain the market risk component.
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