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PPP May not Hold After all: A Further Investigation

  • Serena Ng
  • Pierre Perron

In a recent paper Engel (1999b) presents monte-carlo evidence to suggest that unit root tests can not detect a non-stationary component in the real exchange rate even when this component accounts for almost half of its long-horizon forecast error variance This hidden non-stationary component led to the conclusion that long run purchasing power parity might not hold after all In this note we first point out some conceptual difficulties with the statistic being used to measure the size of the non-stationary component and then argue that it bears no systematic relationship with rejection rates in unit root tests The problems stem from near observational equivalence of the simulated model in not one but two dimensions We then discuss the steps a practitioner can take to minimize Type I error in cases when the non-stationary component is hard to detect Real exchange rate data for 19 countries are examined and estimates are obtained for the duration of the real exchange rate shocks

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Paper provided by The Johns Hopkins University,Department of Economics in its series Economics Working Paper Archive with number 466.

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Date of creation: Feb 2001
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Handle: RePEc:jhu:papers:466
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  1. Paul R. Bergin & Robert C. Feenstra, . "Pricing To Market, Staggered Contracts, And Real Exchange Rate Persistence," Department of Economics 99-01, California Davis - Department of Economics.
  2. Perron, P. & Ng, S., 1996. "An Autoregressive Spectral Density Estimator at Frequency Zero for Nonstationarity Tests," Cahiers de recherche 9611, Universite de Montreal, Departement de sciences economiques.
  3. Serena Ng & Pierre Perron, 2001. "LAG Length Selection and the Construction of Unit Root Tests with Good Size and Power," Econometrica, Econometric Society, vol. 69(6), pages 1519-1554, November.
  4. John B. Taylor, 1999. "A Historical Analysis of Monetary Policy Rules," NBER Chapters, in: Monetary Policy Rules, pages 319-348 National Bureau of Economic Research, Inc.
  5. Charles Engel, 1995. "Accounting for U.S. Real Exchange Rate Changes," NBER Working Papers 5394, National Bureau of Economic Research, Inc.
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  7. Laurence Ball & Robert Moffitt, 2001. "Productivity Growth and the Phillips Curve," NBER Working Papers 8421, National Bureau of Economic Research, Inc.
  8. Perron, Pierre, 1991. "Test Consistency with Varying Sampling Frequency," Econometric Theory, Cambridge University Press, vol. 7(03), pages 341-368, September.
  9. Perron, P. & Ng, S., 1994. "Useful Modifications to Some Unit Root Tests with Dependent Errors and Their Local Asymptotic Properties," Cahiers de recherche 9427, Universite de Montreal, Departement de sciences economiques.
  10. Faust, Jon, 1996. "Near Observational Equivalence and Theoretical size Problems with Unit Root Tests," Econometric Theory, Cambridge University Press, vol. 12(04), pages 724-731, October.
  11. Athanasios Orphanides, 2001. "Monetary Policy Rules Based on Real-Time Data," American Economic Review, American Economic Association, vol. 91(4), pages 964-985, September.
  12. Robert J. Gordon, 1998. "Foundations of the Goldilocks Economy: Supply Shocks and the Time-Varying NAIRU," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 29(2), pages 297-346.
  13. Ng, Serena & Perron, Pierre, 1997. "Estimation and inference in nearly unbalanced nearly cointegrated systems," Journal of Econometrics, Elsevier, vol. 79(1), pages 53-81, July.
  14. Shiller, Robert J. & Perron, Pierre, 1985. "Testing the random walk hypothesis : Power versus frequency of observation," Economics Letters, Elsevier, vol. 18(4), pages 381-386.
  15. Robert R Tchaidze, 2001. "Estimating Taylor Rules in a Real Time Setting," Economics Working Paper Archive 457, The Johns Hopkins University,Department of Economics.
  16. Perron, Pierre, 1996. "The adequacy of asymptotic approximations in the near-integrated autoregressive model with dependent errors," Journal of Econometrics, Elsevier, vol. 70(2), pages 317-350, February.
  17. Schwert, G William, 2002. "Tests for Unit Roots: A Monte Carlo Investigation," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 5-17, January.
  18. Elliott, Graham & Rothenberg, Thomas J & Stock, James H, 1996. "Efficient Tests for an Autoregressive Unit Root," Econometrica, Econometric Society, vol. 64(4), pages 813-36, July.
  19. John Y. Campbell & Pierre Perron, 1991. "Pitfalls and Opportunities: What Macroeconomists Should Know About Unit Roots," NBER Chapters, in: NBER Macroeconomics Annual 1991, Volume 6, pages 141-220 National Bureau of Economic Research, Inc.
  20. Taylor, John B., 1993. "Discretion versus policy rules in practice," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 39(1), pages 195-214, December.
  21. Douglas Staiger & James H. Stock & Mark W. Watson, 1996. "How Precise are Estimates of the Natural Rate of Unemployment?," NBER Working Papers 5477, National Bureau of Economic Research, Inc.
  22. Douglas Staiger & James H. Stock & Mark W. Watson, 1997. "The NAIRU, Unemployment and Monetary Policy," Journal of Economic Perspectives, American Economic Association, vol. 11(1), pages 33-49, Winter.
  23. Nabeya, S. & Perron, P., 1991. "Local Asymtotic Distributions Related to the AR(1) MOdel with Dependent Errors," Papers 362, Princeton, Department of Economics - Econometric Research Program.
  24. Cochrane, John H., 1991. "A critique of the application of unit root tests," Journal of Economic Dynamics and Control, Elsevier, vol. 15(2), pages 275-284, April.
  25. Clark, Peter K., 1988. "Nearly redundant parameters and measures of persistence in economic time series," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 447-461.
  26. Hamori, Shigeyuki & Tokihisa, Akira, 1997. "Testing for a unit root in the presence of a variance shift1," Economics Letters, Elsevier, vol. 57(3), pages 245-253, December.
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