Article ID: | iaor20023300 |
Country: | United States |
Volume: | 15 |
Issue: | 3 |
Start Page Number: | 335 |
End Page Number: | 349 |
Publication Date: | Jan 2001 |
Journal: | Probability in the Engineering and Informational Sciences |
Authors: | Heidergott B. |
Keywords: | option pricing |
Using a weak derivation approach to gradient estimation, we consider the problem of pricing an American call option on stock paying dividends at discrete times. Similar simulation-based sensitivity estimators were introduced earlier by Fu and Hu who used smoothed perturbation analysis. We improve upon their results by presenting an estimator with a uniformly lower variance. In addition, we reduced the multidimensional optimization problem of pricing an option with multiple ex-dividend dates to a one-dimensional one. Numerical examples indicate that this approach saves a considerable amount of computation time. Our estimator holds uniformly for a class of payoff functions, and applications to other types of options will be addressed in the article.