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A Gaussian approximation scheme for computation of option prices in stochastic volatility models |
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| Authors: | Ai-ru Cheng A. Ronald Gallant Chuanshu Ji Beom S. Lee |
| Affiliation: | 1. Department of Economics, University of California, Santa Cruz, CA 95064, United States;2. Fuqua School of Business, Duke University, Durham, NC 27708-0120, United States;3. Department of Statistics and Operations Research, University of North Carolina, Chapel Hill, NC 27599-3260, United States;4. Department of Statistics, George Mason University, Fairfax, VA 22030, United States |
| Abstract: | We consider European options on a price process that follows the log-linear stochastic volatility model. Two stochastic integrals in the option pricing formula are costly to compute. We derive a central limit theorem to approximate them. At parameter settings appropriate to foreign exchange data our formulas improve computation speed by a factor of 1000 over brute force Monte Carlo making MCMC statistical methods practicable. We provide estimates of model parameters from daily data on the Swiss Franc to Euro and Japanese Yen to Euro over the period 1999–2002. |
| Keywords: | G12 G13 G15 C11 C13 C15 C63 |
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