Abstract
Black-Scholes equation of dual currency exchange option pricing is a typical multi-asset option pricing model. It is important to research numerical solution of this equation. In this paper, accelerated additive operator splitting (AOS) differential algorithm is used to transform the multi-dimensional Black-Scholes equation into equivalent one-dimensional equations. Then ’explicit-implicit’ and ’implicit-explicit’ schemes will be constructed. These schemes proved to be stable and convergent unconditionally and they have second-order accuracy. Finally, the numerical example shows the effectiveness of the accelerated AOS difference algorithm. It illustrates that accelerated AOS algorithm effectively avoids the computational complexity of the high-dimensional Black-scholes equation, and dramatically improves the computational speed. Therefore, it is applicable for multi-asset option pricing.
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Yang, X., Zhou, G., Wang, G. (2012). Accelerated Additive Operator Splitting Differential Algorithm for Qual Currency Exchange Option Pricing Model. In: Zhao, M., Sha, J. (eds) Communications and Information Processing. Communications in Computer and Information Science, vol 289. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31968-6_34
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DOI: https://doi.org/10.1007/978-3-642-31968-6_34
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-31967-9
Online ISBN: 978-3-642-31968-6
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