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Title: Sensitivity analysis for averaged asset price dynamics with gamma processes
Authors: Kawai, Reiichiro
Takeuchi, Atsushi
First Published: Jan-2010
Publisher: Elsevier
Citation: Statistics and probability letters, 2010, 80 (1), pp.42-49
Abstract: The main purpose of this paper is to derive unbiased Monte Carlo estimators of various sensitivity indices for an averaged asset price dynamics governed by the gamma Lévy process. The key idea is to apply a scaling property of the gamma process with respect to the Esscher density transform parameter. Our framework covers not only the continuous Asian option, but also European, discrete Asian, average strike Asian, weighted average, spread options, and geometric average Asian options. Numerical results are provided to illustrate the effectiveness of our formulas in Monte Carlo simulations, relative to finite difference approximation.
DOI Link: 10.1016/j.spl.2009.09.010
ISSN: 0167-7152
Type: Article
Rights: This is the authors' final draft of the paper published as Statistics and probability letters, 2010, 80 (1), pp.42-49. The final version is available from: DOI:10.1016/j.spl.2009.09.010
Appears in Collections:Published Articles, Dept. of Mathematics

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