Journal article
A Fast Fourier Transform Technique for Pricing European Options with Stochastic Volatility and Jump Risk
Mathematical problems in engineering, Vol.2012, pp.1-17
01/01/2012
DOI: 10.1155/2012/761637
Abstract
We consider European options pricing with double jumps and stochastic volatility. We derived closed-form solutions for European call options in a double exponential jump-diffusion model with stochastic volatility (SVDEJD). We developed fast and accurate numerical solutions by using fast Fourier transform (FFT) technique. We compared the density of our model with those of other models, including the Black-Scholes model and the double exponential jump-diffusion model. At last, we analyzed several effects on option prices under the proposed model. Simulations show that the SVDEJD model is suitable for modelling the long-time real-market changes and stock returns are negatively correlated with volatility. The model and the proposed option pricing method are useful for empirical analysis of asset returns and managing the corporate credit risks.
Details
- Title: Subtitle
- A Fast Fourier Transform Technique for Pricing European Options with Stochastic Volatility and Jump Risk
- Creators
- Su-mei Zhang - Xi An Jiao Tong Univ, Sch Sci, Xian 710049, Peoples R ChinaLi-he Wang - Mathematics
- Resource Type
- Journal article
- Publication Details
- Mathematical problems in engineering, Vol.2012, pp.1-17
- DOI
- 10.1155/2012/761637
- ISSN
- 1024-123X
- eISSN
- 1563-5147
- Publisher
- HINDAWI LTD
- Number of pages
- 17
- Grant note
- 11171266 / National Natural Science Foundation of China 11JK0491; 11JK0493 / Science Plan Foundation of the Education Bureau of Shanxi Province
- Language
- English
- Date published
- 01/01/2012
- Academic Unit
- Mathematics
- Record Identifier
- 9984240867902771
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