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Lecture 6.1: Variance Reduction Techniques

• Importance sampling. • Stratification and Latin Hypercube Sampling, some words on Quasi-Monte Carlo. • Examples: application to some common financial contracts.

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Lecture 5-2: Variance Reduction Techniques

• Principles and rationale. • Control Variates

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Lectures 53-54: variance reduction techniques

Variance reduction techniques: control variables, antithetic variables,importance sampling. Implementation in VBA.

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Lecture 48: the Monte Carlo method

The Monte Carlo method. Monte Carlo estimator and error.

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Lecture 11: Stochastic integrals and conditioning

The partition property. Covariance and conditional covariance of stochastic integrals.

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