Volatility jumps

Journal Article

The article undertakes a nonparametric analysis of the high-frequency movements in stock market volatility using very finely sampled data on the VIX volatility index compiled from options data by the CBOE. We derive theoretically the link between pathwise properties of the latent spot volatility and the VIX index, such as presence of continuous martingale and/or jumps, and further show how to make statistical inference about them from the observed data. Our empirical results suggest that volatility is a pure jump process with jumps of infinite variation and activity close to that of a continuous martingale. Additional empirical work shows that jumps in volatility and price level in most cases occur together, are strongly dependent, and have opposite sign. The latter suggests that jumps are an important channel for generating leverage effect. © 2011 American Statistical Association Journal of Business and Economic Statistics.

Full Text

Duke Authors

Cited Authors

  • Todorov, V; Tauchen, G

Published Date

  • 2011

Published In

Volume / Issue

  • 29 / 3

Start / End Page

  • 356 - 371

International Standard Serial Number (ISSN)

  • 0735-0015

Digital Object Identifier (DOI)

  • 10.1198/jbes.2010.08342