Article ID: | iaor200972014 |
Country: | Germany |
Volume: | 70 |
Issue: | 3 |
Start Page Number: | 505 |
End Page Number: | 525 |
Publication Date: | Dec 2009 |
Journal: | Mathematical Methods of Operations Research |
Authors: | Bayraktar Erhan, Xing Hao |
Keywords: | investment |
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.