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Linear or Nonlinear Cointegration in the Purchasing Power Parity Relationship?

Author

Listed:
  • Alfred A. Haug

    () (Department of Economics, University of Otago)

  • Syed A. Basher

    () (Department of Economics, York University, Toronto)

Abstract

We test long-run PPP within a general model of cointegration of linear and nonlinear form. Nonlinear cointegration is tested with rank tests of Breitung (2001). We determine Þrst the order of integration of each variable, using monthly data from the post-Bretton Woods era for G-10 countries. In many cases prices are I(2), whereas all exchange rates are I(1). However, there are several countries that have a price level that linearly cointegrates with the US price level so that this combination is I(1). Overall, we find some, though limited, evidence for nonlinear and also linear cointegration in the PPP model.

Suggested Citation

  • Alfred A. Haug & Syed A. Basher, 2007. "Linear or Nonlinear Cointegration in the Purchasing Power Parity Relationship?," Working Papers 0712, University of Otago, Department of Economics, revised Aug 2007.
  • Handle: RePEc:otg:wpaper:0712
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    File URL: http://www.business.otago.ac.nz/econ/research/discussionpapers/DP_0712.pdf
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    References listed on IDEAS

    as
    1. 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 563-577, Sept.-Oct.
    2. In Choi & Pentti Saikkonen, 2004. "Testing linearity in cointegrating smooth transition regressions," Econometrics Journal, Royal Economic Society, vol. 7(2), pages 341-365, December.
    3. 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.
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    5. 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.
    6. 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.
    7. Lopez, Claude & Murray, Christian J & Papell, David H, 2005. "State of the Art Unit Root Tests and Purchasing Power Parity," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 37(2), pages 361-369, April.
    8. 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 103-112, January.
    9. Luca Fanelli & Emanuele Bacchiocchi, 2005. "Testing the purchasing power parity through I(2) cointegration techniques," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(6), pages 749-770.
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    11. Charles Engel & James Morley, 2000. "The Adjustment of Prices and the Adjustment of the Exchange Rate," Working Papers 0009, University of Washington, Department of Economics.
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    Citations

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    Cited by:

    1. Liew, Venus Khim-Sen & Ling, Tai-Hu & Chia, Ricky Chee-Jiun & Yoon, Gawon, 2012. "On the application of the rank tests for nonlinear cointegration to PPP: The case of Papua New Guinea," Economic Modelling, Elsevier, vol. 29(2), pages 326-332.
    2. repec:taf:oaefxx:v:3:y:2015:i:1:p:1007808 is not listed on IDEAS
    3. Robertson, Raymond & Kumar, Anil & Dutkowsky, Donald H., 2014. "Weak-form and strong-form purchasing power parity between the US and Mexico: A panel cointegration investigation," Journal of Macroeconomics, Elsevier, vol. 42(C), pages 241-262.
    4. Ye, Yonggang & Chang, Tsangyao & Hung, Ken & Lu, Yang-Cheng, 2011. "Revisiting rational bubbles in the G-7 stock markets using the Fourier unit root test and the nonparametric rank test for cointegration," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(2), pages 346-357.
    5. Aviral Tiwari & Muhammad Shahbaz, 2014. "Revisiting Purchasing Power Parity for India using threshold cointegration and nonlinear unit root test," Economic Change and Restructuring, Springer, vol. 47(2), pages 117-133, May.
    6. Saten Kumar, 2016. "Is the US Consumer Credit Asymmetric?," Scottish Journal of Political Economy, Scottish Economic Society, vol. 63(2), pages 194-215, May.
    7. Chang, Tsangyao & Chiu, Chi Chen & Tzeng, Han Wen, 2011. "Revisiting Purchasing Power Parity for Nine Transition Countries Using the Rank Test for Nonlinear Cointegration," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(2), pages 19-30, June.
    8. Paradiso, Antonio & Kumar, Saten & Lucchetta, Marcella, 2014. "Investigating the US consumer credit determinants using linear and non-linear cointegration techniques," Economic Modelling, Elsevier, vol. 42(C), pages 20-28.
    9. Thurai Murugan Nathan & Venus Khim-Sen Liew, 2013. "Does Electricity Consumption have Significant Impact towards the Sectoral Growth of Cambodia? Evidence from Wald Test Causality Relationship," Journal of Empirical Economics, Research Academy of Social Sciences, vol. 1(2), pages 59-66.

    More about this item

    Keywords

    PPP; order of integration; nonlinear cointegration;

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • F31 - International Economics - - International Finance - - - Foreign Exchange

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