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Multilevel Monte Carlo Path Simulation
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Journal Article
Multilevel Monte Carlo Path Simulation
2008
Overview
We show that multigrid ideas can be used to reduce the computational complexity of estimating an expected value arising from a stochastic differential equation using Monte Carlo path simulations. In the simplest case of a Lipschitz payoff and a Euler discretisation, the computational cost to achieve an accuracy of O ( ) is reduced from O ( –3 ) to O ( –2 (log ) 2 ). The analysis is supported by numerical results showing significant computational savings.
Publisher
INFORMS,Institute for Operations Research and the Management Sciences
