a fast fourier transform technique for pricing european options with stochastic volatility and jump risk

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ID: 204566
2012
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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.
Reference Key
zhang2012mathematicala Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Su-mei Zhang;Li-he Wang
Journal journal of power sources
Year 2012
DOI
10.1155/2012/761637
URL
http://dx.doi.org/10.1155/2012/761637
Keywords
civil engineering (general)mathematics engineering (general)

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