Volatility Activity: Specification and Estimation
AbstractThe paper examines volatility activity and its asymmetry and undertakes further specification analysis of volatility models based on it. We develop new nonparametric statistics using high frequency option-based VIX data to test for asymmetry in volatility jumps. We also develop methods to estimate and evaluate, using price data alone, a general encompassing model for volatility dynamics where volatility activity is unrestricted. The nonparametric application to VIX data, along with model estimation for S&P Index returns, suggests that volatility moves are best captured by infinite variation pure-jump martingale with symmetric jump distribution. The latter provides a parsimonious generalization of the jump-diffusions commonly used for volatility modeling.
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Bibliographic InfoPaper provided by Duke University, Department of Economics in its series Working Papers with number 11-23.
Date of creation: 2011
Date of revision:
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Postal: Department of Economics Duke University 213 Social Sciences Building Box 90097 Durham, NC 27708-0097
Phone: (919) 660-1800
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Web page: http://econ.duke.edu/
Asymmetric Volatility Activity; High-Frequency Data; Laplace Transform; Signed Power Variation; Specification Testing; Stochastic Volatility; Volatility Jumps;
Find related papers by JEL classification:
- C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
- C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
- G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-11-14 (All new papers)
- NEP-ECM-2011-11-14 (Econometrics)
- NEP-ETS-2011-11-14 (Econometric Time Series)
- NEP-MST-2011-11-14 (Market Microstructure)
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