Abstract

We implement the Heston stochastic volatility model by using multidimensional Ornstein‐Uhlenbeck processes and a special Girsanov transformation, and consider the Malliavin calculus of this model. We derive explicit formulas for the Malliavin derivatives of the Heston volatility and the log‐price, and give a formula for the local volatility which is approachable by Monte‐Carlo methods.

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