New control variates for Lévy process models | IEEE Conference Publication | IEEE Xplore

New control variates for Lévy process models


Abstract:

We present a general control variate method for Monte Carlo estimation of the expectations of the functionals of Lévy processes. It is based on fast numerical inversion o...Show More

Abstract:

We present a general control variate method for Monte Carlo estimation of the expectations of the functionals of Lévy processes. It is based on fast numerical inversion of the cumulative distribution functions and exploits the strong correlation between the increments of the original process and Brownian motion. In the suggested control variate framework, a similar functional of Brownian motion is used as a main control variate while some other characteristics of the paths are used as auxiliary control variates. The method is applicable for all types of Lévy processes for which the probability density function of the increments is available in closed form. We present the applications of our general approach for simulation of path dependent options. Numerical experiments confirm that our method achieves considerable variance reduction.
Date of Conference: 09-12 December 2012
Date Added to IEEE Xplore: 21 February 2013
ISBN Information:

ISSN Information:

Conference Location: Berlin, Germany

Contact IEEE to Subscribe

References

References is not available for this document.