Spurious Inference in the GARCH (1,1) Model When It Is Weakly Identified
AbstractThis paper shows that the Zero-Information-Limit-Condition (ZILC) formulated by Nelson and Startz (2006) holds in the GARCH (1,1) model. As a result, the GARCH estimate tends to have too small a standard error relative to the true one when the ARCH parameter is small, even when sample size becomes very large. In combination with an upward bias in the GARCH estimate, the small standard error will often lead to the spurious inference that volatility is highly persistent when it is not. We develop an empirical strategy to deal with this issue and show how it applies to real datasets.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by De Gruyter in its journal Studies in Nonlinear Dynamics & Econometrics.
Volume (Year): 11 (2007)
Issue (Month): 1 (March)
Contact details of provider:
Web page: http://www.degruyter.com
Other versions of this item:
- Jun Ma & Charles Nelson & Richard Startz, 2007. "Spurious Inference in the GARCH(1,1) Model When It Is Weakly Identified," Working Papers UWEC-2006-14-P, University of Washington, Department of Economics, revised Mar 2007.
- C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
- C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models &bull Diffusion Processes
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- Donald W.K. Andrews & Patrik Guggenberger, 2011.
"A Conditional-Heteroskedasticity-Robust Confidence Interval for the Autoregressive Parameter,"
Cowles Foundation Discussion Papers
1812, Cowles Foundation for Research in Economics, Yale University.
- Donald W.K. Andrews & Patrik Guggenberger, 2011. "A Conditional-Heteroskedasticity-Robust Confidence Interval for the Autoregressive Parameter," Cowles Foundation Discussion Papers 1812, Cowles Foundation for Research in Economics, Yale University, revised Dec 2012.
- Luger, Richard, 2012. "Finite-sample bootstrap inference in GARCH models with heavy-tailed innovations," Computational Statistics & Data Analysis, Elsevier, vol. 56(11), pages 3198-3211.
- Liu, Yan & Luger, Richard, 2009. "Efficient estimation of copula-GARCH models," Computational Statistics & Data Analysis, Elsevier, vol. 53(6), pages 2284-2297, April.
- Sarkar, Asani & Zhang, Lingjia, 2009. "Time varying consumption covariance and dynamics of the equity premium: Evidence from the G7 countries," Journal of Empirical Finance, Elsevier, vol. 16(4), pages 613-631, September.
- Enders, Walter & Ma, Jun, 2011. "Sources of the great moderation: A time-series analysis of GDP subsectors," Journal of Economic Dynamics and Control, Elsevier, vol. 35(1), pages 67-79, January.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Peter Golla).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.