A Path Integral Approach to Derivative Security Pricing: II. Numerical Methods
arXiv:cond-mat/9901279
Abstract
We discuss two numerical methods, based on a path integral approach described in a previous paper (I), for solving the stochastic equations underlying the financial markets: the Monte Carlo approach, and the Green function deterministic numerical method. Then, we apply the latter to some specific financial problems. In particular, we consider the pricing of a European option, a zero-coupon bond, a caplet, an American option, and a Bermudan swaption.
25 pages, 1 figure, submitted to International Journal of Theoretical and Applied Finance