Skip to content Skip to navigation
University of Warwick
  • Study
  • |
  • Research
  • |
  • Business
  • |
  • Alumni
  • |
  • News
  • |
  • About

University of Warwick
Publications service & WRAP

Highlight your research

  • WRAP
    • Home
    • Search WRAP
    • Browse by Warwick Author
    • Browse WRAP by Year
    • Browse WRAP by Subject
    • Browse WRAP by Department
    • Browse WRAP by Funder
    • Browse Theses by Department
  • Publications Service
    • Home
    • Search Publications Service
    • Browse by Warwick Author
    • Browse Publications service by Year
    • Browse Publications service by Subject
    • Browse Publications service by Department
    • Browse Publications service by Funder
  • Statistics
  • Help & Advice
University of Warwick

The Library

  • Login

Estimating and testing stochastic volatility models using realized measures

Tools
- Tools
+ Tools

Corradi, Valentina and Distaso, Walter (2004) Estimating and testing stochastic volatility models using realized measures. Working Paper. Warwick Business School, Financial Econometrics Research Centre, Coventry.

[img]
Preview
PDF
WRAP_Corradi_fwp04-17.pdf - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader

Download (950Kb)
Official URL: http://www2.warwick.ac.uk/fac/soc/wbs/research/wfr...

Abstract

This paper proposes a procedure to test for the correct specification of the functional form of the volatility process, within the class of eigenfunction stochastic volatility models (Meddahi, 2001). The procedure is based on the comparison of the moments of realized volatility measures with the corresponding ones of integrated volatility implied by the model under the null hypothesis. We first provide primitive conditions on the measurement error associated with the realized measure, which allow to construct asymptotically valid specification tests. Then we establish regularity conditions under which realized volatility, bipower variation (Barndorff-Nielsen & Shephard, 2004d), and modified subsampled realized volatility (Zhang, Mykland & Aït Sahalia, 2003), satisfy the given primitive assumptions. Finally, we provide an empirical illustration based on three stock from the Dow Jones Industrial Average.

Item Type: Working or Discussion Paper (Working Paper)
Subjects: H Social Sciences > HG Finance
H Social Sciences > HB Economic Theory
Divisions: Faculty of Social Sciences > Warwick Business School > Financial Econometrics Research Centre
Faculty of Social Sciences > Warwick Business School
Library of Congress Subject Headings (LCSH): Moments method (Statistics), Eigenfunctions, Stochastic analysis, Dow Jones industrial average
Series Name: Working papers (Warwick Business School. Financial Econometrics Research Centre)
Publisher: Warwick Business School, Financial Econometrics Research Centre
Place of Publication: Coventry
Date: October 2004
Number: No.04-
Number of Pages: 49
Status: Not Peer Reviewed
Access rights to Published version: Open Access
Funder: Economic and Social Research Council (Great Britain) (ESRC)
Grant number: R000230006 (ESRC)
References: Aït Sahalia, Y. (1996). Testing Continuous Time Models of the Spot Interest Rate. Review of Financial Studies, 9, 385–426. Aït Sahalia, Y., Hansen, L. P., & Scheinkman, J. A. (2004). Operator Methods for Continuous-Time Markov Processes. Princeton University. Aït Sahalia, Y., Mykland, P. A., & Zhang, L. (2003). How Often to Sample a Continuous-Time Process in the Presence of Market Micro-Structure Noise. Review of Financial Studies, forthcoming. Altissimo, F. & Mele, A. (2003). Simulated Nonparametric Estimation of Continuous Time Models of Asset Prices and Returns. London School of Economics. Andersen, T. G. & Bollerslev, T. (1997). Intraday Periodicity and Volatility Persistence in Financial Markets. Journal of Empirical Finance, 4, 115–158. Andersen, T. G. & Bollerslev, T. (1998). Answering the Skeptics: Yes, Standard Volatility Models Do Provide Accurate Forecasts. International Economic Review, 39, 885–905. Andersen, T. G., Bollerslev, T., & Diebold, F. X. (2003). Some Like it Smooth and Some Like it Rough: Untangling Continuous and Jump Components in Measuring, Modelling and Forecasting Asset Return Volatility. Duke University. Andersen, T. G., Bollerslev, T., Diebold, F. X., & Labys, P. (2001). The Distribution of Realized Exchange Rate Volatility. Journal of the American Statistical Association, 96, 42–55. Andersen, T. G., Bollerslev, T., Diebold, F. X., & Labys, P. (2003). Modelling and Forecasting Realized Volatility. Econometrica, 71, 579–626. Andersen, T. G., Bollerslev, T., & Meddahi, N. (2002). Analytic Evaluation of Volatility Forecasts. International Economic Review, forthcoming. Andersen, T. G., Bollerslev, T., & Meddahi, N. (2004). Correcting the Errors: Volatility Forecast Evaluation using High-Frequency Data and Realized Volatilities. Econometrica, forthcoming. Awartani, B., Corradi, W., & Distaso, W. (2004). Testing and Modelling Market Microstructure Effects with an Application to the Dow Jones Industrial Average. Queen Mary, University of London. Bandi, F. M. & Russell, J. R. (2003a). Microstructure Noise, Realized Volatility, and Optimal Sampling. University of Chicago. Bandi, F. M. & Russell, J. R. (2003b). Volatility or Noise? University of Chicago. Barndorff-Nielsen, O. E. & Shephard, N. (2001). Non-Gaussian OU based Models and Some of Their Uses in Financial Economics. Journal of the Royal Statistical Society, B, 63, 167–241. Barndorff-Nielsen, O. E. & Shephard, N. (2002). Econometric Analysis of Realized Volatility and its Use in Estimating Stochastic Volatility Models. Journal of the Royal Statistical Society, B, 64, 253–280. Barndorff-Nielsen, O. E. & Shephard, N. (2004a). A Feasible Limit Theory for Realised Volatility under Leverage. University of Oxford. Barndorff-Nielsen, O. E. & Shephard, N. (2004b). Econometric Analysis of Realized Covariation: High Frequancy Based Covariance, Regression and Correlation in Financial Economics. Econometrica, 72, 885–925. Barndorff-Nielsen, O. E. & Shephard, N. (2004c). Econometrics of Testing for Jumps in Financial Economics using Bipower Variation. University of Oxford. Barndorff-Nielsen, O. E. & Shephard, N. (2004d). Power and bipower variation with stochastic volatility and jumps. Journal of Financial Econometrics, 2, 1–48. Bollerslev, T. & Zhou, H. (2002). Estimating Stochastic Volatility Diffusion Using Conditional Moments of Integrated Volatility. Journal of Econometrics, 109, 33–65. Bontemps, C. & Meddahi, N. (2003a). Testing Distributional Assumptions: a GMM Approach. University of Montreal. Bontemps, C. & Meddahi, N. (2003b). Testing Normality: a GMM Approach. Journal of Econometrics, forthcoming. Chen, X., Hansen, L. P., & Scheinkman, J. A. (2000). Principal Components and the Long Run. New York University. Chernov, M., Gallant, A. R., Ghysels, E., & Tauchen, G. (2003). Alternative Models for Stock Price Dynamics. Journal of Econometrics, 116, 225–257. Corradi, V. & Swanson, N. R. (2003). Bootstrap Specification Tests for Diffusion Processes. Journal of Econometrics, forthcoming. Corradi, V. & White, H. (1999). Specification Tests for the Variance of a Diffusion. Journal of Time Series Analysis, 20, 253–270. Darolles, S., Florens, J. P., & Gouriéroux, C. (2004). Kernel Based Nonlinear Canonical Analysis and Time Reversibility. Journal of Econometrics, 119, 323–353. Davidson, J. (1994). Stochastic Limit Theory. Oxford: Oxford University Press. Dette, H., Podolskoj, M., & Vetter, M. (2004). Estimation of Integrated Volatility in Continuous Time Financial Models with Application to Goodness-of-Fit Testing. Ruhr-University. Dette, H. & von Lieres und Wilkau, C. (2003). On a Test for a Parametric Form of Volatility in Continuous Time Financial Models. Finance and Stochastics, 7, 363–384. Duffie, D. & Singleton, K. J. (1993). Simulated Method of Moment Estimation of Markov Models of Asset Prices. Econometrica, 61, 929–952. Gallant, A., Hsieh, D., & Tauchen, G. (1997). Estimation of Stochastic Volastility Models with Diagnostics. Journal of Econometrics, 81, 159–192. Gallant, A. & Tauchen, G. (1996). Which Moments to Match? Econometric Theory, 12, 657–681. Gallant, A. & White, H. (1988). A Unified Theory of Estimation and Inference for Nonlinear Dynamic Models. Oxford: Basil Blackwell. Hansen, L. P. (1982). Large Sample Properties of Generalized Method of Moments Estimators. Econometrica, 50, 1029–1054. Hansen, L. P. & Scheinkman, J. A. (1995). Back to the Future: Generating Moment Implications for Continuous Time Markov Processes. Econometrica, 63, 767–804. Hansen, L. P., Scheinkman, J. A., & Touzi, N. (1998). Spectral Methods for Identifying Scalar Diffusions. Journal of Econometrics, 86, 1–32. Hansen, P. R. & Lunde, A. (2004). An Unbiased Version of Realized Variance. Brown University. Heston, S. L. (1993). A Closed Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options. Review of Financial Studies, 6, 327–344. Hong, Y. M. & Li, M. (2003). Out of Sample Performance of Spot Interest Rate Models. Review of Financial Studies, forthcoming. Huang, X. & Tauchen, G. (2003). The Relative Contribution of Jumps to Total Price Variance. Duke University. Karatzas, I. & Shreve, S. E. (1988). Brownian Motion and Stochastic Calculus. New York: Springer Verlag. Meddahi, N. (2001). An Eigenfunction Approach for Volatility Modeling. University of Montreal. Meddahi, N. (2002a). A Theoretical Comparison between Integrated and Realized Volatilities. Journal of Applied Econometrics, 17, 475–508. Meddahi, N. (2002b). Moments of Continuous Time Stochastic Volatility Models. University of Montreal. Meddahi, N. (2003). ARMA Representation of Integrated and Realized Variances. Econometrics Journal, 6, 334–355. Newey, W. & West, K. (1987). A Simple Positive Semi-Definite, Heteroscedasticity and Autocorrelation Consistent Covariance Matrix. Econometrica, 55, 703–708. Pardoux, E. & Talay, D. (1985). Discretization and Simulation of Stochastic Differential Equations. Acta Applicandae Mathematicae, 3, 23–47. Thompson, S. B. (2002). Evaluating the Goodness of Fit of Conditional Distributions with an Application to the Affine Term Structure. Harvard University. Zhang, L., Mykland, P. A., & Aït Sahalia, Y. (2003). A Tale of Two Time Scales: Determining Integrated Volatility with Noisy High Frequency Data. Carnegie Mellon University.
URI: http://wrap.warwick.ac.uk/id/eprint/1783

Request changes to a record

Actions (login required)

View Item View Item

Document Downloads

More statistics for this item...
twitter

Email us: publications@warwick.ac.uk
Contact Details
About Us