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Lecture 4: Application of Malliavin calculus to exact and approximate option pricing under stochastic volatility

Introduction Model of asset price and payoff function: additional assumptions, auxiliary properties Elements of Malliavin calculus and application to option pricing The rate of convergence of…

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Lecture 64: stochastic volatility models

The martingale representation theorem and stochastic volatility models.

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Lecture 50: the Markov property

The Markov property. An example: stochastic volatility models. Infinitesimal generator.

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