On Partial Hedging and Counter-monotonic Sums
نویسندگان
چکیده
In this article, we show, in the context of partial hedging, that some important relationships about comonotonicity and convex order cannot be translated to countermonotonicity in general because of the possibility of over-hedging. We propose a new notion, called proper hedge, that can effectively avoid over-hedging. Different characterizations of a proper hedge are given, and we show that this notion is useful in translating relationships between comonotonicity and convex order to the case of counter-monotonicity. As an application in the insurance context, we apply our results to identify desirable structural properties of insurance indemnities that make an insurance contract appealing to both the policyholder and the insurer.
منابع مشابه
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