Pricing European Options by Stable Fourier-Cosine Series Expansions
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q-fin.CP
q-fin.MF
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modelpricingseriesoptionsstablealthoughanalysiscall
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The COS method proposed in Fang and Oosterlee (2008), although highly efficient, may lack robustness for a number of cases. In this paper, we present a Stable pricing of call options based on Fourier cosine series expansion. The Stability of the pricing methods is demonstrated by error analysis, as well as by a series of numerical examples, including the Heston stochastic volatility model, Kou jump-diffusion model, and CGMY model.
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