Hedging strategy of a contingent claim in incomplete market
Liu Xuan-hui
Abstract
Liu Xuan-hui
Abstract
The price of underlying assets follows a geometric Brownian motion in the Black-Scholes model. If the finance market is complete this paper gives an accurate hedging strategy by another method. Then we introduce a dynamic measure of risk to the incomplete market, under which we have acquired the optimal replication of a contingent claim in the finance market which is induced by a risk neutral probability measare. With an application of a generalized Clark formula the paper provides the optimal hedging strategy for a contingent claim.
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The price of underlying assets follows a geometric Brownian motion in the Black-Scholes model. If the finance market is complete this paper gives an accurate hedging strategy by another method. Then we introduce a dynamic measure of risk to the incomplete market, under which we have acquired the optimal replication of a contingent claim in the finance market which is induced by a risk neutral probability measare. With an application of a generalized Clark formula the paper provides the optimal hedging strategy for a contingent claim.
Key concepts: Geometric Brownian motion, Incomplete markets, Economics, Risk-neutral measure, Mathematical economics, Replication (statistics), Mathematical finance, Brownian motion