Multiple time scales and the exponential Ornstein-Uhlenbeck stochastic volatility model

Jaume Masoliver and Josep Perello

Quantitative Finance, 2006, vol. 6, issue 5, 423-433

Abstract: We study the exponential Ornstein-Uhlenbeck stochastic volatility model and observe that the model shows a multiscale behaviour 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; Long memory; Leverage; Ornstein-Uhlenbeck process (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (14)

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Working Paper: Multiple time scales and the exponential Ornstein-Uhlenbeck stochastic volatility model (2005)
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DOI: 10.1080/14697680600727547

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