Path Dependent Option Pricing: the path integral partial averaging method

Details Path Dependent Option Pricing: the path integral partial averaging method Path Dependent Option Pricing: the path integral partial averaging method

2000-05-19

arxiv.org/abs/cond-mat/0005319v1

Physics

Condensed Matter

Statistical Mechanics

22 pages, no figures

Scientific paper

In this paper I develop a new computational method for pricing path dependent options. Using the path integral representation of the option price, I show that in general it is possible to perform analytically a partial averaging over the underlying risk-neutral diffusion process. This result greatly eases the computational burden placed on the subsequent numerical evaluation. For short-medium term options it leads to a general approximation formula that only requires the evaluation of a one dimensional integral. I illustrate the application of the method to Asian options and occupation time derivatives.

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