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Analytical pricing of discrete arithmetic Asian options with mean reversion and jumps

Shing Fung Chung and Hoi Ying Wong

Journal of Banking & Finance, 2014, vol. 44, issue C, 130-140

Abstract: Empirical evidence indicates that commodity prices are mean reverting and exhibit jumps. As some commodity option payoffs involve the arithmetic average of historical commodity prices, we derive an analytical solution to arithmetic Asian options under a mean reverting jump diffusion process. The analytical solution is implemented with the fast Fourier transform based on the joint characteristic function of the terminal asset price and the realized average value. We also examine the accuracy and computational efficiency of the proposed method through numerical studies.

Keywords: Asian options; Fourier transform; Mean reversion; Jump diffusion (search for similar items in EconPapers)
JEL-codes: G12 G13 (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:jbfina:v:44:y:2014:i:c:p:130-140

DOI: 10.1016/j.jbankfin.2014.04.011

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