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Testing the purchasing power parity through I(2) cointegration techniques

Author

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  • Luca Fanelli

    (Department of Statistical Sciences, University of Bologna, Italy)

  • Emanuele Bacchiocchi

    (Department of Economics and Business Administration, University of Milan, Italy)

Abstract

This paper contributes to the empirical literature on the purchasing power parity (PPP) over the post-Bretton Woods period by providing a time-series based interpretation of the controversial evidence characterizing the dynamics of real exchange rates. It is shown that the persistence of deviations from the PPP between a set of European countries and the United States may be empirically attributed to the presence of I(2) stochastic trends in prices using Consumer Price Indices. Interestingly, the slow adjustment towards the equilibrium can be modelled through 'integral-proportional' equilibrium correction models and this evidence can be partly reconciled with theories where the inflation rate reduces the markup of profit-maximizing firms acting on imperfectly competitive markets. Copyright © 2005 John Wiley & Sons, Ltd.

Suggested Citation

  • 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.
    • Handle: RePEc:jae:japmet:v:20:y:2005:i:6:p:749-770
    DOI: 10.1002/jae.786
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    References listed on IDEAS

    as
    1. Susan Athey & Kyle Bagwell & Chris Sanchirico, 2004. "Collusion and Price Rigidity," Review of Economic Studies, Oxford University Press, vol. 71(2), pages 317-349.
    2. Kenneth Rogoff, 1996. "The Purchasing Power Parity Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 647-668, June.
    3. Taylor, Alan M, 2001. "Potential Pitfalls for the Purchasing-Power-Parity Puzzle? Sampling and Specification Biases in Mean-Reversion Tests of the Law of One Price," Econometrica, Econometric Society, vol. 69(2), pages 473-498, March.
    4. Marston, Richard C., 1990. "Pricing to market in Japanese manufacturing," Journal of International Economics, Elsevier, vol. 29(3-4), pages 217-236, November.
    5. Paruolo, Paolo, 1996. "On the determination of integration indices in I(2) systems," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 313-356.
    6. Naug, Bjorn & Nymoen, Ragnar, 1996. " Pricing to Market in a Small Open Economy," Scandinavian Journal of Economics, Wiley Blackwell, vol. 98(3), pages 329-350.
    7. Katarina Juselius & Ronald MacDonald, 2000. "International Parity Relationships between Germany and the United States: A Joint Modelling Approach," Discussion Papers 00-10, University of Copenhagen. Department of Economics.
    8. Lothian, James R., 1997. "Multi-country evidence on the behavior of purchasing power parity under the current float," Journal of International Money and Finance, Elsevier, vol. 16(1), pages 19-35, February.
    9. Frankel, Jeffrey A. & Rose, Andrew K., 1996. "A panel project on purchasing power parity: Mean reversion within and between countries," Journal of International Economics, Elsevier, vol. 40(1-2), pages 209-224, February.
    10. repec:cup:etheor:v:8:y:1992:i:2:p:188-202 is not listed on IDEAS
    11. Engle, R. F. & Granger, C. W. J. (ed.), 1991. "Long-Run Economic Relationships: Readings in Cointegration," OUP Catalogue, Oxford University Press, number 9780198283393, Decembrie.
    12. Paruolo, Paolo & Rahbek, Anders, 1999. "Weak exogeneity in I(2) VAR systems," Journal of Econometrics, Elsevier, vol. 93(2), pages 281-308, December.
    13. Gregoir, Stephane & Laroque, Guy, 1994. "Polynomial cointegration estimation and test," Journal of Econometrics, Elsevier, vol. 63(1), pages 183-214, July.
    14. Maurice Obstfeld & Kenneth Rogoff, 2001. "The Six Major Puzzles in International Macroeconomics: Is There a Common Cause?," NBER Chapters, in: NBER Macroeconomics Annual 2000, Volume 15, pages 339-412, National Bureau of Economic Research, Inc.
    15. Kongsted, Hans Christian, 2005. "Testing the nominal-to-real transformation," Journal of Econometrics, Elsevier, vol. 124(2), pages 205-225, February.
    16. Betts, Caroline & Devereux, Michael B., 2000. "Erratum to "Exchange rate dynamics in a model of pricing-to-market": [Journal of International Economics 50 (2000) 214-244]," Journal of International Economics, Elsevier, vol. 52(1), pages 207-208, October.
    17. Baum, Christopher F. & Barkoulas, John T. & Caglayan, Mustafa, 2001. "Nonlinear adjustment to purchasing power parity in the post-Bretton Woods era," Journal of International Money and Finance, Elsevier, vol. 20(3), pages 379-399, June.
    18. Betts, Caroline & Devereux, Michael B., 2000. "Exchange rate dynamics in a model of pricing-to-market," Journal of International Economics, Elsevier, vol. 50(1), pages 215-244, February.
    19. Johansen, Søren & Juselius, Katarina, 1992. "Testing structural hypotheses in a multivariate cointegration analysis of the PPP and the UIP for UK," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 211-244.
    20. Johansen, Søren, 1992. "A Representation of Vector Autoregressive Processes Integrated of Order 2," Econometric Theory, Cambridge University Press, vol. 8(2), pages 188-202, June.
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    Cited by:

    1. Alfred Haug & Syed Basher, 2011. "Linear or nonlinear cointegration in the purchasing power parity relationship?," Applied Economics, Taylor & Francis Journals, vol. 43(2), pages 185-196.
    2. Juselius, Katarina, 2014. "Testing for near I(2) trends when the signal-to-noise ratio is small," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 8, pages 1-30.
    3. Giorgio Canarella & Stephen M. Miller & Stephen K. Pollard, 2012. "Purchasing Power Parity between the UK and the Euro Area," Working papers 2012-46, University of Connecticut, Department of Economics.
    4. Roman Frydman & Michael D. Goldberg & Søren Johansen & Katarina Juselius, 2008. "A Resolution of the Purchasing Power Parity Puzzle: Imperfect Knowledge and Long Swings," Discussion Papers 08-31, University of Copenhagen. Department of Economics.
    5. Gomez-Biscarri, Javier & Hualde, Javier, 2015. "A residual-based ADF test for stationary cointegration in I(2) settings," Journal of Econometrics, Elsevier, vol. 184(2), pages 280-294.
    6. Oladunjoye Opeyemi Nathaniel, 2019. "Validity of Purchasing Power Parity (PPP) Hypothesis in the Ecowas (1980–2017)," Emerging Economy Studies, International Management Institute, vol. 5(2), pages 141-156, November.
    7. Giulia LISTORTI, 2008. "Price Transmission Mechanisms: a Policy Investigation of International Wheat Markets," Working Papers 318, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
    8. Takamitsu Kurita & Heino Bohn Nielsen & Anders Rahbek, 2009. "An I(2) Cointegration Model With Piecewise Linear Trends: Likelihood Analysis And Application," Discussion Papers 09-13, University of Copenhagen. Department of Economics.
    9. Francesca Di Iorio & Stefano Fachin & Riccardo Lucchetti, 2016. "Can you do the wrong thing and still be right? Hypothesis testing in I(2) and near-I(2) cointegrated VARs," Applied Economics, Taylor & Francis Journals, vol. 48(38), pages 3665-3678, August.
    10. Søren Johansen & Katarina Juselius & Roman Frydman & Michael Goldberg, 2007. "Testing Hypotheses in an I(2) Model with Applications to the Persistent Long Swings in the Dmk/$ Rate," Discussion Papers 07-34, University of Copenhagen. Department of Economics.
    11. Fanelli, Luca & Paruolo, Paolo, 2010. "Speed of adjustment in cointegrated systems," Journal of Econometrics, Elsevier, vol. 158(1), pages 130-141, September.
    12. Johansen, Søren & Juselius, Katarina & Frydman, Roman & Goldberg, Michael, 2010. "Testing hypotheses in an I(2) model with piecewise linear trends. An analysis of the persistent long swings in the Dmk/$ rate," Journal of Econometrics, Elsevier, vol. 158(1), pages 117-129, September.
    13. Juselius, Katarina & Stillwagon, Josh R., 2018. "Are outcomes driving expectations or the other way around? An I(2) CVAR analysis of interest rate expectations in the dollar/pound market," Journal of International Money and Finance, Elsevier, vol. 83(C), pages 93-105.
    14. Bjørnar Karlsen Kivedal, 2023. "Long run non-linearity in CO2 emissions: the I(2) cointegration model and the environmental Kuznets curve," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 50(4), pages 899-931, November.

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