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• Principles and rationale.
• Control Variates
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Crude Monte Carlo: central limit theorem and law of large numbers. Methods for the generation of random variables: inverse transform, rejection sam- pling. Examples: simulation from the exponential…
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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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Discretization error and Monte Carlo error. Acceleration techniques. Introduction to MATLAB. Pricing of an Asian option: a horse-race among VBA, MATLAB and parallelized MATLAB codes.
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Variance reduction techniques: control variables, antithetic variables,importance sampling. Implementation in VBA.
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The Monte Carlo method. Monte Carlo estimator and error.
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