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Mathematical Problems in Engineering
Volume 2014, Article ID 786391, 16 pages
Research Article

The Pricing of Asian Options in Uncertain Volatility Model

School of Science, North China University of Technology, Beijing 100144, China

Received 2 December 2013; Accepted 29 April 2014; Published 16 June 2014

Academic Editor: Xiaodong Lin

Copyright © 2014 Yulian Fan and Huadong Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper studies the pricing of Asian options when the volatility of the underlying asset is uncertain. We use the nonlinear Feynman-Kac formula in the G-expectation theory to get the two-dimensional nonlinear PDEs. For the arithmetic average fixed strike Asian options, the nonlinear PDEs can be transferred to linear PDEs. For the arithmetic average floating strike Asian options, we use a dimension reduction technique to transfer the two-dimensional nonlinear PDEs to one-dimensional nonlinear PDEs. Then we introduce the applicable numerical computation methods for these two classes of PDEs and analyze the performance of the numerical algorithms.