Journal of Computational Finance
ISSN:
1460-1559 (print)
1755-2850 (online)
Editor-in-chief: Christoph Reisinger
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Fast simplified approaches to Asian option pricing
D.Y. Tangman, A. A. I. Peer, N. Rambeerich, M. Bhuruth
Abstract
ABSTRACT
In this paper a general and simple framework is proposed for pricing Asian options under a variety of pricing models, including the Merton model and the Carr- Geman-Madan-Yor model. The approach uses the exponential time integration scheme in combination with a dimensional splitting technique. For discretely observed Asian options, a simple splitting technique is applied, while a Strang splitting strategy is employed to improve the temporal accuracy for continuously observed averages. For European Asian options it is shown that spectral accuracy can be achieved using a Chebyshev discretization. Barrier features are easily enforced and an operator-splitting technique is used to price Amerasians. For the Black-Scholes model we show that employing best rational approximation via Carathéodory-Fejér approximation leads to algorithms with linear complexity in each spatial dimension.
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