Efficient pricing of Asian options by the PDE approach

François Dubois and Tony Lelièvre

Journal of Computational Finance

Abstract: ABSTRACT We consider the partial differential equation (PDE) proposed by Rogers and Shi (1995) and explain the main difficulties encountered in applying standard numerical schemes on this PDE as such. We then propose a scheme that is able to produce accurate results (to at least five decimal places) very quickly (in less than one second on a PC equipped with a 1-GHz Intel Pentium III microprocessor). We compare our approach with the schemes proposed in the literature.

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