Pricing and hedging of Asian options: Quasi-explicit solutions via Malliavin calculus
Yang, Zhaojun and Ewald, Christian-Oliver and Menkens, Olaf (2011) Pricing and hedging of Asian options: Quasi-explicit solutions via Malliavin calculus. Mathematical Methods of Operations Research (ZOR), 74 (1). pp. 93-120. ISSN 1432-5217
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We use Malliavin calculus and the Clark-Ocone formula to derive the hedging strategy of an arithmetic Asian Call option in general terms. Furthermore we derive an expression for the density of the integral over time of a geometric Brownian motion, which allows us to express hedging strategy and price of the Asian option as an analytic expression. Numerical computations which are based on this expression are provided.
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