Fang, Fang and Oosterlee, Kees (2008): A NOVEL PRICING METHOD FOR EUROPEAN OPTIONS BASED ON FOURIER-COSINE SERIES EXPANSIONS.
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Here we develop an option pricing method for European options based on the Fourier-cosine series, and call it the COS method. The key insight is in the close relation of the characteristic function with the series coefficients of the Fourier-cosine expansion of the density function. In most cases, the convergence rate of the COS method is exponential and the computational complexity is linear. Its range of application covers different underlying dynamics, including L\'evy processes and Heston stochastic volatility model, and various types of option contracts. We will present the method and its applications in two separate parts. The first one is this paper, where we deal with European options in particular. In a follow-up paper we will present its application to options with early-exercise features.
|Item Type:||MPRA Paper|
|Original Title:||A NOVEL PRICING METHOD FOR EUROPEAN OPTIONS BASED ON FOURIER-COSINE SERIES EXPANSIONS|
|Keywords:||option pricing, European options, Fourier-cosine expansion|
|Subjects:||G - Financial Economics > G1 - General Financial Markets > G13 - Contingent Pricing ; Futures Pricing|
|Depositing User:||Fang Fang|
|Date Deposited:||30. May 2008 22:20|
|Last Modified:||16. Mar 2015 17:03|
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A NOVEL PRICING METHOD FOR EUROPEAN OPTIONS BASED ON FOURIER-COSINE SERIES EXPANSIONS. (deposited 12. Mar 2008 15:12)
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