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Size Distortions Of Tests Of The Null Hypothesis Of Stationarity: Evidence And Implications For The PPP Debate

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Caner, Mehmet
Kilian, Lutz

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Abstract

Tests of the null hypothesis of stationarity against the unit root alternative play an increasingly important role in empirical work in macroeconomics and in international finance. We show that the use of conventional asymptotic critical values for stationarity tests may cause extreme size distortions, if the model under the null hypothesis is highly persistent. This fact calls into question the use of these tests in empirical work. We illustrate the practical importance of this point for tests of long-run purchasing power parity under the recent float. We show that the common practice of viewing tests of stationarity as complementary to tests of the unit root null will tend to result in contradictions and in spurious rejections of long-run PPP. While the size distortions may be overcome by the use of finite-sample critical values, the resulting tests tend to have low power under economically plausible assumptions about the half-life of deviations from PPP. Thus, the fact that stationarity is not rejected cannot be interpreted as convincing evidence in favour of mean reversion. Only in the rare case that stationarity is rejected do size-corrected tests shed light on the question of long-run PPP.

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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 2425.

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Date of creation: Apr 2000
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Handle: RePEc:cpr:ceprdp:2425

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Related research
Keywords: Finite-Sample Critical Values; Long-Run PPP; Mean Reversion; Real Exchange Rate;

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Find related papers by JEL classification:
C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions
F31 - International Economics - - International Finance - - - Foreign Exchange

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  2. Kuo, Biing-Shen & Mikkola, Anne, 1999. "Re-examining long-run purchasing power parity," Journal of International Money and Finance, Elsevier, vol. 18(2), pages 251-266, February. [Downloadable!] (restricted)
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  21. Lee, Kevin & Pesaran, M Hashem & Smith, Ron, 1997. "Growth and Convergence in Multi-country Empirical Stochastic Solow Model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(4), pages 357-92, July-Aug.. [Downloadable!]
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  28. Lothian, James R & Taylor, Mark P, 1996. "Real Exchange Rate Behavior: The Recent Float from the Perspective of the Past Two Centuries," Journal of Political Economy, University of Chicago Press, vol. 104(3), pages 488-509, June. [Downloadable!] (restricted)
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