Reducing the Variance of Likelihood Ratio Greeks with Monte Carlo

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We investigate the use of Antithetic Variables, Control Variates and Importance Sampling to reduce the statistical errors of option sensitivities calculated with the Likelihood Ratio Method in Monte Carlo. We show how Antithetic Variables solve the well-known problem of the divergence of the variance of Delta for short maturities and small volatilities. With numerical examples within a Gaussian Copula framework, we show how simple Control Variates and Importance Sampling strategies provide computational savings up to several orders of magnitude.
4 pages, 2 figures

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Data Analysis, Statistics and Probability, Other Condensed Matter

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http://salesiana.dossiersoluciones.com/handle/123456789/167480

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0808.2332
 http://arxiv.org/abs/0808.2332

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arXiv