Multiple Time Scales and the Exponential Ornstein-Uhlenbeck Stochastic Volatility Model
24 Pages Posted: 26 Jan 2005
Date Written: January 26, 2005
We study the exponential Ornstein-Uhlenbeck stochastic volatility model and observe that the model shows a multiscale behavior in the volatility autocorrelation. It also exhibits a leverage correlation and a probability profile for the stationary volatility which are consistent with market observations. All these features make the model quite appealing since it appears to be more complete than other stochastic volatility models also based on a two-dimensional diffusion. We finally present an approximate solution for the return probability density designed to capture the kurtosis and skewness effects.
Keywords: Stochastic volatility model, long memory, volatility autocorrelation
Suggested Citation: Suggested Citation