Article ID: | iaor20127765 |
Volume: | 40 |
Issue: | 6 |
Start Page Number: | 554 |
End Page Number: | 563 |
Publication Date: | Nov 2012 |
Journal: | Operations Research Letters |
Authors: | Chen Nan, Huang Zhengyu |
Keywords: | simulation |
Computing expected values of functions involving extreme values of diffusion processes can find many applications in financial engineering. Conventional discretization simulation schemes often converge slowly. We propose a Wiener‐measure‐decomposition based approach to construct unbiased Monte Carlo estimators. Combined with the importance sampling technique and the Williams path decomposition of Brownian motion, this approach transforms simulating extreme values of a general diffusion process to simulating two Brownian meanders. Numerical experiments show this estimator performs efficiently for diffusions with and without boundaries.