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Finance and Economics Discussion Series
Finance and Economics Discussion Series logo links to FEDS home page Estimating Stochastic Volatility Diffusion Using Conditional Moments of Integrated Volatility
Tim Bollerslev and Hao Zhou

Abstract: We exploit the distributional information contained in high-frequency intraday data in constructing a simple conditional moment estimator for stochastic volatility diffusions. The estimator is based on the analytical solutions of the first two conditional moments for the latent integrated volatility, the realization of which is effectively approximated by the sum of the squared high-frequency increments of the process. Our simulation evidence indicates that the resulting GMM estimator is highly reliable and accurate. Our empirical implementation based on high-frequency five-minute foreign exchange returns suggests the presence of multiple latent stochastic volatility factors and possible jumps.

Keywords: Stochastic volatility diffusions, integrated volatility, quadratic variation, realized volatility, high-frequency data, foreign exchange rates, GMM Estimation

Full paper (648 KB PDF)

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Last update: November 30, 2001