統計数学セミナー
Seminar on Probability and Statistics
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Seminar on Probability and Statistics
Tuesday August 22 2006
Tokyo 128
4:50-6:00 pm


A computation of Theta in a jump diffusion model by integration by parts


Delphine DAVID
Departement de Mathematiques, Universite de La Rochelle

Abstract

Using Malliavin weights in a jump-diffusion model we obtain an expression for Theta (the sensitivity of an option price with respect to the time remaining until exercise), with application to non-smooth payoff functions. Optimal weights are computed by minimization of variance and numerical simulations are presented for digital and European options. Some results are also presented for Asian options. Our representation formula for Theta differs in general from the one obtained from the Black-Scholes PDE in terms of Delta and Gamma.




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Seminar on Probability and Statistics