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oai:ntmsci.com/ntmsci/ajaxtool/oai:article/1 2013-02-28T22:00:00Z 1

Pricing Power Options within the Heston Framework Siti N.I. Ibrahim, John G. O'Hara, Nick Constantinou Power Option, Partial Differential Equation, Heston Model, Characteristic Function, Fast Fourier Transform Numerous studies have presented evidence that certain financial assets may exhibit stochastic volatility or jumps, which cannot be captured within the Black-Scholes environment. This work investigates the valuation of power options when the variance follows the Heston model of stochastic volatility. A closed form representation of the characteristic function of the process is derived from the partial differential equation (PDE) of the replicating portfolio. The characteristic function is essential for the computation of the European power option prices via the Fast Fourier Transform (FFT) technique. Numerical results are presented. © 2012 Published by NTMSCI Selection and/or peer review under responsibility of NTMSCI Publication Society New Trends in Mathematical Sciences New Trends in Mathematical Sciences 2013-02-28T22:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=1 ISSN: 2147-5520 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=1 New Trends in Mathematical Sciences, Year:2013, Vol:1, Issue:1 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=1