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We apply the Malliavin calculus to the stochastic string framework and obtain a Clark-Ocone-like formula. This result allows us to rewrite the hedging portfolio explicitly in terms of the Malliavin derivative of the discounted payoff. We illustrate this new result with two applications. Firstly,...
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This paper studies the effect of variance swap in hedging volatility risk under the mean-variance criterion. We … consider two mean-variance portfolio selection problems under Heston's stochastic volatility model. In the first problem, the … variance swap can be used to hedge against the volatility risk. In the second problem, only the bank account and the stock can …
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