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The robustness of modified unit root tests in the presence of GARCH 

Author: Steven Cook a
Affiliation:   a Department of Economics, University of Wales Swansea, Swansea SA2 8PP, UK
DOI: 10.1080/14697680600702045
Publication Frequency: 8 issues per year
Published in: journal Quantitative Finance, Volume 6, Issue 4 August 2006 , pages 359 - 363
Formats available: HTML (English) : PDF (English)
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Abstract

The research of Kim and Schmidt (J. Economet., 1993, 59, 287-300) is extended to examine the properties of modified Dickey-Fuller unit root tests in the presence of generalized autoregressive conditional heteroskedasticity (GARCH). Using Monte Carlo simulation, the properties of the tests are examined for a range of GARCH processes over alternative sample sizes. Oversizing is observed for all tests, with the extent of size distortion driven by the volatility, rather than the persistence, of the underlying GARCH process. While the original Dickey-Fuller test is found to exhibit greater size distortion than the modified tests, the modified tests are found to be substantially oversized when the GARCH process exhibits a high degree of volatility, even for large samples.
Keywords: GARCH; Unit root tests; Size distortion
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