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Unit Roots, Nonlinear Cointegration and Purchasing Power Parity

  • Alfred A. Haug


    (Department of Economics, York University)

  • Syed A. Basher


    (Department of Economics, York University)

We test long¨Crun PPP within a general model of cointegration of linear and nonlinear form. Nonlinear cointegration is tested with rank tests proposed by Breitung (2001). We start with determining the order of integration of each variable in the model, applying relatively powerful DF¨CGLS tests of Elliott, Rothenberg and Stock (1996). Using monthly data from the post¨CBretton Woods era for G¨C10 countries, the evidence leads to a rejection of PPP for almost all countries. In several cases the price variables are driven by permanent shocks that differ from the ones that drive the exchange rate. Also, nonlinear cointegration cannot solve the PPP puzzle.

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Paper provided by York University, Department of Economics in its series Working Papers with number 2003_1.

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Length: 18 pages
Date of creation: Jan 2003
Date of revision: Jun 2005
Handle: RePEc:yca:wpaper:2003_1
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  1. Campa, Jose M. & Goldberg, Linda S., 2002. "Exchange rate pass-through into import prices: A macro or micro phenomenon?," IESE Research Papers D/475, IESE Business School.
  2. Lutz Kilian & Mark P. Taylor, 2001. "Why is it so difficult to beat the Random Walk Forecast of Exchange Rates?," Tinbergen Institute Discussion Papers 01-031/4, Tinbergen Institute.
  3. James H. Stock & Mark W. Watson, 1991. "A simple estimator of cointegrating vectors in higher order integrated systems," Working Paper Series, Macroeconomic Issues 91-3, Federal Reserve Bank of Chicago.
  4. Cheung, Yin-Wong & Lai, Kon S. & Bergman, Michael, 2004. "Dissecting the PPP puzzle: the unconventional roles of nominal exchange rate and price adjustments," Journal of International Economics, Elsevier, vol. 64(1), pages 135-150, October.
  5. Dickey, David A & Pantula, Sastry G, 1987. "Determining the Ordering of Differencing in Autoregressive Processes," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(4), pages 455-61, October.
  6. Smets, Frank & Wouters, Raf, 2002. "Openness, imperfect exchange rate pass-through and monetary policy," Working Paper Series 0128, European Central Bank.
  7. Sercu, Piet & Uppal, Raman & Van Hulle, Cynthia, 1995. " The Exchange Rate in the Presence of Transaction Costs: Implications for Tests of Purchasing Power Parity," Journal of Finance, American Finance Association, vol. 50(4), pages 1309-19, September.
  8. Richard Clarida & Jordi Galí & Mark Gertler, 2000. "Monetary Policy Rules And Macroeconomic Stability: Evidence And Some Theory," The Quarterly Journal of Economics, MIT Press, vol. 115(1), pages 147-180, February.
  9. Peter Pedroni, 2001. "Purchasing Power Parity Tests in Cointegrated Panels," Department of Economics Working Papers 2001-01, Department of Economics, Williams College.
  10. Claude Lopez & Christian J. Murray & David H. Papell, 2004. "State of the Art Unit Root Tests and Purchasing Power Parity," University of Cincinnati, Economics Working Papers Series 2004-04, University of Cincinnati, Department of Economics.
  11. James G. MacKinnon & Alfred A. Haug & Leo Michelis, 1996. "Numerical Distribution Functions of Likelihood Ratio Tests for Cointegration," Working Papers 1996_07, York University, Department of Economics.
  12. Charles Engel & James C. Morley, 2001. "The Adjustment of Prices and the Adjustment of the Exchange Rate," NBER Working Papers 8550, National Bureau of Economic Research, Inc.
  13. Alan M. Taylor & Mark Taylor, 2004. "The Purchasing Power Parity Debate," Working Papers 46, University of California, Davis, Department of Economics.
  14. Breitung, Jörg, 1998. "Rank tests for nonlinear cointegration," SFB 373 Discussion Papers 1998,65, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  15. Dumas, Bernard, 1992. "Dynamic Equilibrium and the Real Exchange Rate in a Spatially Separated World," Review of Financial Studies, Society for Financial Studies, vol. 5(2), pages 153-80.
  16. Michael, Panos & Nobay, A Robert & Peel, David A, 1997. "Transactions Costs and Nonlinear Adjustment in Real Exchange Rates: An Empirical Investigation," Journal of Political Economy, University of Chicago Press, vol. 105(4), pages 862-79, August.
  17. Peel, David & Sarno, Lucio & Taylor, Mark P, 2001. "Nonlinear Mean-Reversion in Real Exchange Rates: Towards a Solution to the Purchasing Power Parity Puzzles," CEPR Discussion Papers 2658, C.E.P.R. Discussion Papers.
  18. Shabtai Donnenfeld & Alfred Haug, 2003. "Currency Invoicing in International Trade: an Empirical Investigation," Review of International Economics, Wiley Blackwell, vol. 11(2), pages 332-345, 05.
  19. Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501.
  20. Serena Ng & Pierre Perron, 1997. "Lag Length Selection and the Construction of Unit Root Tests with Good Size and Power," Boston College Working Papers in Economics 369, Boston College Department of Economics, revised 01 Sep 2000.
  21. 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.
  22. Cheung, Yin-Wong & Lai, Kon S., 1993. "Long-run purchasing power parity during the recent float," Journal of International Economics, Elsevier, vol. 34(1-2), pages 181-192, February.
  23. Cheung, Yin-Wong & Lai, Kon S, 1993. "A Fractional Cointegration Analysis of Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(1), pages 103-12, January.
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