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Lecture 4: Application of Malliavin calculus to exact and approximate option pricing under stochastic volatilityIntroduction 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…
From Tiziano Vargiolu
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Lectures 27-28: the Girsanov theorem and the martingale representation theoremLevy's characterization of Brownian motion. Drift transformation in the Brownian motion and the Girsanov theorem. The martingale representation theorem. Representation of densities of…
From Tiziano Vargiolu
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Lecture 26: change of probability with a filtrationEquivalent probability measures. Conditional expectation and martingales under the new probability.
From Tiziano Vargiolu
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Lecture 24: change of probabilityAbsolutely continuous probability measures. Measures defined by a density. The Radon-Nykodym theorem. Expectation under the new probability.
From Tiziano Vargiolu
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