A Path Integral Way to Option Pricing

Details A Path Integral Way to Option Pricing A Path Integral Way to Option Pricing

2002-02-08

arxiv.org/abs/cond-mat/0202143v1

Physics

Condensed Matter

Statistical Mechanics

20 pages, 2 figures, 3 tables

Scientific paper

10.1016/S0378-4371(02)00796-3

An efficient computational algorithm to price financial derivatives is presented. It is based on a path integral formulation of the pricing problem. It is shown how the path integral approach can be worked out in order to obtain fast and accurate predictions for the value of a large class of options, including those with path-dependent and early exercise features. As examples, the application of the method to European and American options in the Black-Scholes model is illustrated. A particularly simple and fast semi-analytical approximation for the price of American options is derived. The results of the algorithm are compared with those obtained with the standard procedures known in the literature and found to be in good agreement.

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