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Asymptotic analysis for stochastic volatility: Edgeworth expansion

Masaaki Fukasawa

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Abstract: The validity of an approximation formula for European option prices under a general stochastic volatility model is proved in the light of the Edgeworth expansion for ergodic diffusions. The asymptotic expansion is around the Black-Scholes price and is uniform in bounded payoff func- tions. The result provides a validation of an existing singular perturbation expansion formula for the fast mean reverting stochastic volatility model.

Date: 2010-04
New Economics Papers: this item is included in nep-ets
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Citations: View citations in EconPapers (3)

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