Journal of Financial and Quantitative Analysis Vol. 39 No. 2 2004
Monte Carlo Valuation of American Options through Computation of the Optimal Exercise Frontier
Abstract
This paper introduces a Monte Carlo simulation method for pricing multidimensional American options based on the computation of the optimal exercise frontier. We consider Bermudan options that can be exercised at a finite number of times and compute the optimal exercise frontier recursively. We show that for every date of possible exercise, any single point of the optimal exercise frontier is a fixed point of a simple algorithm. Once the frontier is computed, we use plain vanilla Monte Carlo simulation to price the option and obtain a low-biased estimator. We illustrate the method with applications to several types of options.
- DOI
- 10.1017/s0022109000003069
- Volume
- 39
- Issue
- 2
- Pages
- 253-275
- Language
- en
- Sources
- bibtex:phds-export.bib openalex crossref