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Review of Finance Vol. 19 No. 2 2015

Variance Reduction for Asian Options under a General Model Framework

Kemal Dinçer Dingeç; Halis Sak; Wolfgang Hörmann

1 Boğaziçi University, 2Yeditepe University, and 3Boğaziçi University

Abstract

We present a new variance reduction method for Asian options under a general model framework. The three special cases we consider are Lévy processes, Heston stochastic volatility, and regime switching models. The proposed method combines a very effective control variate with conditional Monte Carlo. While the control variate can be used for any model allowing the numerical computation of the multivariate characteristic function of the log-return vector, conditional Monte Carlo is based on the unified representation of the three models. Computational results confirm that the new method performs better than available control variate methods.

DOI
10.1093/rof/rfu005
Volume
19
Issue
2
Pages
907-949
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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