Pricing American Options for Jump Diffusions by Iterating Optimal Stopping Problems for Diffusions
Abstract
Description
We approximate the price of the American put for jump diffusions by a sequence of functions, which are computed iteratively. This sequence converges to the price function uniformly and exponentially fast. Each element of the approximating sequence solves an optimal stopping problem for geometric Brownian motion, and can be numerically computed using the classical finite difference methods. We prove the convergence of this numerical scheme and present examples to illustrate its performance.
Key Words: Pricing derivatives, American options, jump diffusions, barrier options, finite difference methods
Key Words: Pricing derivatives, American options, jump diffusions, barrier options, finite difference methods