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http://dx.doi.org/10.4134/BKMS.b150283

A RECURSIVE METHOD FOR DISCRETELY MONITORED GEOMETRIC ASIAN OPTION PRICES  

Kim, Bara (Department of Mathematics Korea University)
Kim, Jeongsim (Department of Mathematics Education Chungbuk National University)
Kim, Jerim (Department of Business Administration Yong In University)
Wee, In-Suk (Department of Mathematics Korea University)
Publication Information
Bulletin of the Korean Mathematical Society / v.53, no.3, 2016 , pp. 733-749 More about this Journal
Abstract
We aim to compute discretely monitored geometric Asian option prices under the Heston model. This method involves explicit formula for multivariate generalized Fourier transform of volatility process and their integrals over different time intervals using a recursive method. As numerical results, we illustrate efficiency and accuracy of our method. In addition, we simulate scenarios which show evidently practical importance of our work.
Keywords
discrete monitoring; geometric Asian option; Heston model; generalized Fourier transform;
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