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Unit Roots, Nonlinear Cointegration and Purchasing Power Parity

  • Alfred A. Haug

    (York University)

  • Syed A. Basher

    (York University)

We test long–run 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–GLS tests of Elliott, Rothenberg and Stock (1996). Using monthly data from the post–Bretton Woods era for G–10 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 EconWPA in its series Econometrics with number 0401006.

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Length: 18 pages
Date of creation: 29 Jan 2004
Date of revision: 16 Nov 2005
Handle: RePEc:wpa:wuwpem:0401006
Note: Type of Document - pdf; prepared on Win98; pages: 18
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  3. Peter Pedroni, 2001. "Purchasing Power Parity Tests In Cointegrated Panels," The Review of Economics and Statistics, MIT Press, vol. 83(4), pages 727-731, November.
  4. Richard Clarida & Jordi Galí & Mark Gertler, 1997. "Monetary policy rules and macroeconomic stability: Evidence and some theory," Economics Working Papers 350, Department of Economics and Business, Universitat Pompeu Fabra, revised May 1999.
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  6. Kilian, Lutz & Taylor, Mark P., 2003. "Why is it so difficult to beat the random walk forecast of exchange rates?," Journal of International Economics, Elsevier, vol. 60(1), pages 85-107, May.
  7. Smets, Frank & Wouters, Raf, 2002. "Openness, imperfect exchange rate pass-through and monetary policy," Working Paper Series 0128, European Central Bank.
  8. Claude Lopez & Christian J. Murray & David H. Papell, 2003. "State of the Art Unit Root Tests and the PPP Puzzle," Macroeconomics 0310009, EconWPA.
  9. Alan M. Taylor & Mark P. Taylor, 2004. "The Purchasing Power Parity Debate," NBER Working Papers 10607, National Bureau of Economic Research, Inc.
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  13. 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.
  14. 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.
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  16. 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.
  17. 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.
  18. 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.
  19. MacKinnon, James G & Haug, Alfred A & Michelis, Leo, 1999. "Numerical Distribution Functions of Likelihood Ratio Tests for Cointegration," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 14(5), pages 563-77, Sept.-Oct.
  20. 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.
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  22. 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.
  23. 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.
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