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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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Author Info

  • Kilian, L.
  • Caner, M.

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 favor 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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Bibliographic Info

Paper provided by Michigan - Center for Research on Economic & Social Theory in its series Papers with number 99-05.

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Length: 24 pages
Date of creation: 1999
Date of revision:
Handle: RePEc:fth:michet:99-05

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Postal: UNIVERSITY OF MICHIGAN, DEPARTMENT OF ECONOMICS CENTER FOR RESEARCH ON ECONOMIC AND SOCIAL THEORY, ANN ARBOR MICHIGAN U.S.A.

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Keywords: UNIT ROOTS ; INTERNATIONAL FINANCE ; ECONOMIC MODELS;

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References

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  1. Kwiatkowski, Denis & Phillips, Peter C. B. & Schmidt, Peter & Shin, Yongcheol, 1992. "Testing the null hypothesis of stationarity against the alternative of a unit root : How sure are we that economic time series have a unit root?," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 159-178.
  2. Charles Engel & Chang-Jin Kim, 1996. "The Long-Run U.S./U.K. Real Exchange Rate," NBER Working Papers 5777, National Bureau of Economic Research, Inc.
  3. Moreno, Ramon, 1997. "Saving-investment dynamics and capital mobility in the US and Japan," Journal of International Money and Finance, Elsevier, vol. 16(6), pages 837-863, December.
  4. Lewbel, Arthur, 1996. "Aggregation without Separability: A Generalized Composite Commodity Theorem," American Economic Review, American Economic Association, vol. 86(3), pages 524-43, June.
  5. Sean Collins & Richard G. Anderson, 1997. "Modeling U.S. households' demand for liquid wealth in an era of financial change," Working Papers 1997-014, Federal Reserve Bank of St. Louis.
  6. Canzoneri, Matthew B. & Cumby, Robert E. & Diba, Behzad, 1999. "Relative labor productivity and the real exchange rate in the long run: evidence for a panel of OECD countries," Journal of International Economics, Elsevier, vol. 47(2), pages 245-266, April.
  7. 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.
  8. Matthew D. Shapiro & David W. Wilcox, 1996. "Mismeasurement in the Consumer Price Index: An Evaluation," NBER Working Papers 5590, National Bureau of Economic Research, Inc.
  9. Glenn D. Rudebusch, 1992. "The uncertain unit root in real GNP," Finance and Economics Discussion Series 193, Board of Governors of the Federal Reserve System (U.S.).
  10. Diebold, Francis X & Senhadji, Abdelhak S, 1996. "The Uncertain Unit Root in Real GNP: Comment," American Economic Review, American Economic Association, vol. 86(5), pages 1291-98, December.
  11. Yin-Wong Cheung & Menzie D. Chinn, 1996. "Further Investigation of the Uncertain Unit Root in GNP," NBER Technical Working Papers 0206, National Bureau of Economic Research, Inc.
  12. Shin, Yongcheol, 1994. "A Residual-Based Test of the Null of Cointegration Against the Alternative of No Cointegration," Econometric Theory, Cambridge University Press, vol. 10(01), pages 91-115, March.
  13. Rothman, Philip, 1997. "More Uncertainty about the Unit Root in U.S. Real GNP," Journal of Macroeconomics, Elsevier, vol. 19(4), pages 771-780, October.
  14. Culver, Sarah E & Papell, David H, 1997. "Is There a Unit Root in the Inflation Rate? Evidence from Sequential Break and Panel Data Models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(4), pages 435-44, July-Aug..
  15. Baillie, Richard T. & Pecchenino, Rowena A., 1991. "The search for equilibrium relationships in international finance: the case of the monetary model," Journal of International Money and Finance, Elsevier, vol. 10(4), pages 582-593, December.
  16. 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..
  17. Caner, Mehmet, 1998. "A Locally Optimal Seaosnal Unit-Root Test," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(3), pages 349-56, July.
  18. J. Wolters & T. Teräsvirta & H. Lütkepohl, 1996. "Modelling the Demand for M3 in the Unified Germany," SFB 373 Discussion Papers 1996,24, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  19. Alesina, Alberto & Perotti, Roberto, 1995. "Taxation and redistribution in an open economy," European Economic Review, Elsevier, vol. 39(5), pages 961-979, May.
  20. Christian J. Murray & David H. Papell, 2000. "The Purchasing Power Parity Persistence Paradigm," Econometric Society World Congress 2000 Contributed Papers 0017, Econometric Society.
  21. Leybourne, S J & McCabe, B P M, 1994. "A Consistent Test for a Unit Root," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(2), pages 157-66, April.
  22. Bart Hobijn & Philip Hans Franses & Marius Ooms, 2004. "Generalizations of the KPSS-test for stationarity," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 58(4), pages 483-502.
  23. Cheung, Yin-Wong & Lai, Kon S., 1998. "Parity reversion in real exchange rates during the post-Bretton Woods period," Journal of International Money and Finance, Elsevier, vol. 17(4), pages 597-614, August.
  24. Culver, Sarah E. & Papell, David H., 1999. "Long-run purchasing power parity with short-run data: evidence with a null hypothesis of stationarity," Journal of International Money and Finance, Elsevier, vol. 18(5), pages 751-768, October.
  25. Sephton, Peter S., 1995. "Response surface estimates of the KPSS stationarity test," Economics Letters, Elsevier, vol. 47(3-4), pages 255-261, March.
  26. Lee, Junsoo, 1996. "On the power of stationarity tests using optimal bandwidth estimates," Economics Letters, Elsevier, vol. 51(2), pages 131-137, May.
  27. Graham Elliott & Thomas J. Rothenberg & James H. Stock, 1992. "Efficient Tests for an Autoregressive Unit Root," NBER Technical Working Papers 0130, National Bureau of Economic Research, Inc.
  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.
  29. Nelson, Charles R. & Plosser, Charles I., 1982. "Trends and random walks in macroeconmic time series : Some evidence and implications," Journal of Monetary Economics, Elsevier, vol. 10(2), pages 139-162.
  30. repec:cup:etheor:v:10:y:1994:i:1:p:95-115 is not listed on IDEAS
  31. Choi, In, 1994. "Residual-Based Tests for the Null of Stationarity with Applications to U.S. Macroeconomic Time Series," Econometric Theory, Cambridge University Press, vol. 10(3-4), pages 720-746, August.
  32. Ely, David P. & Robinson, Kenneth J., 1997. "Are stocks a hedge against inflation? International evidence using a long-run approach," Journal of International Money and Finance, Elsevier, vol. 16(1), pages 141-167, February.
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