Utility indifference pricing of derivatives written on industrial loss indices

摘要

We consider the problem of pricing derivatives written on some industrial loss index via utility indifference pricing. The industrial loss index is modeled by a compound Poisson process and the insurer can adjust her portfolio by choosing the risk loading, which in turn determines the demand. We compute the price of a CAT (spread) option written on that index using utility indifference pricing and present numerical examples.