We show how the benefits of the pathwise sensitivity approach to computing Monte Carlo Greeks can be extended to discontinuous payoff functions through a combination of the pathwise approach and the Likelihood Ratio Method. With a variance reduction modification, this results in an estimator which for timestep h has a variance which is O(h -1/2) for discontinuous payoffs and O(1) for continuous payoffs. Numerical results confirm the variance is much lower than the O(h -1) variance of the Likelihood Ratio Method, and the approach is also compatible with the use of adjoints to obtain multiple first order sensitivities at a fixed cost. © Springer-Verlag Berlin Heidelberg 2009.
CITATION STYLE
Giles, M. B. (2009). Vibrato Monte Carlo sensitivities. In Monte Carlo and Quasi-Monte Carlo Methods 2008 (pp. 369–382). Springer Verlag. https://doi.org/10.1007/978-3-642-04107-5_23
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