Reducing Monte Carlo Standard Error using Antithetic Variates

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1. Context

In this video from FRM Part 1 curriculum, we take a look a the antithetic variates technique to reduce the standard error of our Monte Carlo based estimator. This technique simulates the chosen variable as a pair of values – with the members of the pair having a negative dependence amongst themselves. This negative dependence reduces the variance of the estimator and hence, the standard error. For more information about the FRM Part 1 preparation course, please visit the course page.

AreaQuantitative Analysis
ReadingSimulation and Bootstrapping
ReferenceChapter 13, Simulation and Bootstrapping, GARP Official Books (Book 2, Quantitative Analysis).

2. Video