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Purchasing Power Parity Between the UK and Germany: The Euro Era

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  • Giorgio Canarella
  • Stephen Miller
  • Stephen Pollard

Abstract

We use the Johansen cointegration approach to assess the empirical validity of the purchasing power parity (PPP) between the UK and Germany since the introduction of the euro. We conduct the empirical analysis in the context of the global financial crisis that began in 2007 and find that it directly affects the cointegration space. We fail to validate the Johansen and Juselius ( 1992 ) original hypothesis that nonstationarity of PPP associates with the nonstationarity of interest rate differentials to produce a stationary relation. On the other hand, we do not reject PPP. We find that PPP cointegrates with inflation differentials. We also find, contrary to conventional wisdom, that (i) equilibrium adjustment occurs between the German and UK inflation rates, while weak exogeneity exists for the German and UK interest rates and the PPP condition, and (ii) three common trends associated with the German interest rate the UK interest rate, and the PPP condition “push” the system with the German interest rate and the PPP condition playing dominant roles in affecting inflation in both Germany and the UK. These results cast serious doubt on the presumed independence of the UK monetary policy. Copyright Springer Science+Business Media New York 2014

Suggested Citation

  • Giorgio Canarella & Stephen Miller & Stephen Pollard, 2014. "Purchasing Power Parity Between the UK and Germany: The Euro Era," Open Economies Review, Springer, vol. 25(4), pages 677-699, September.
  • Handle: RePEc:kap:openec:v:25:y:2014:i:4:p:677-699
    DOI: 10.1007/s11079-014-9309-9
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    1. Pesaran, M. Hashem & Shin, Yongcheol & Smith, Richard J., 2000. "Structural analysis of vector error correction models with exogenous I(1) variables," Journal of Econometrics, Elsevier, vol. 97(2), pages 293-343, August.
    2. repec:bla:scandj:v:78:y:1976:i:2:p:200-224 is not listed on IDEAS
    3. 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.
    4. 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.
    5. Juselius, Katarina, 1995. "Do purchasing power parity and uncovered interest rate parity hold in the long run? An example of likelihood inference in a multivariate time-series model," Journal of Econometrics, Elsevier, vol. 69(1), pages 211-240, September.
    6. 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.
    7. Koedijk, Kees G. & Tims, Ben & van Dijk, Mathijs A., 2004. "Purchasing power parity and the euro area," Journal of International Money and Finance, Elsevier, vol. 23(7-8), pages 1081-1107.
    8. Gregory, Allan W, 1994. "Testing for Cointegration in Linear Quadratic Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(3), pages 347-360, July.
    9. Chen, Show-Lin & Wu, Jyh-Lin, 2000. "A Re-Examination of Purchasing Power Parity in Japan and Taiwan," Journal of Macroeconomics, Elsevier, vol. 22(2), pages 271-284, April.
    10. Holmes, Mark J. & Maghrebi, Nabil, 2004. "Asian real interest rates, nonlinear dynamics, and international parity," International Review of Economics & Finance, Elsevier, vol. 13(4), pages 387-405.
    11. Kim, Yoonbai, 1990. "Purchasing power parity : Another look at the long-run data," Economics Letters, Elsevier, vol. 32(4), pages 339-344, April.
    12. Salvador Barrios & Marius Brülhart & Robert J.R. Elliott & Marianne Sensier, 2003. "A Tale of Two Cycles: Co‐Fluctuations Between UK Regions and the Euro Zone," Manchester School, University of Manchester, vol. 71(3), pages 265-292, June.
    13. Hossein Samiei & Mr. Zenon Kontolemis, 2000. "The U.K. Business Cycle, Monetary Policy, and EMU Entry," IMF Working Papers 2000/210, International Monetary Fund.
    14. Elliott, Graham & Rothenberg, Thomas J & Stock, James H, 1996. "Efficient Tests for an Autoregressive Unit Root," Econometrica, Econometric Society, vol. 64(4), pages 813-836, July.
    15. Coakley, Jerry & Fuertes, Ana Maria, 1997. "New panel unit root tests of PPP," Economics Letters, Elsevier, vol. 57(1), pages 17-22, November.
    16. Camacho, Maximo & Perez-Quiros, Gabriel & Saiz, Lorena, 2008. "Do European business cycles look like one?," Journal of Economic Dynamics and Control, Elsevier, vol. 32(7), pages 2165-2190, July.
    17. Hatzinikolaou, Dimitris & Polasek, Metodey, 2005. "The Commodity-Currency View of the Australian Dollar: A Multivariate Cointegration Approach," Journal of Applied Economics, Universidad del CEMA, vol. 8(1), pages 1-19, May.
    18. Sandeep Mazumder & Ryan Pahl, 2013. "What if the UK had Joined the Euro in 1999?," Open Economies Review, Springer, vol. 24(3), pages 447-470, July.
    19. Harris, David & Leybourne, Stephen & McCabe, Brendan, 2005. "Panel Stationarity Tests for Purchasing Power Parity With Cross-Sectional Dependence," Journal of Business & Economic Statistics, American Statistical Association, vol. 23, pages 395-409, October.
    20. Claude Lopez & David H. Papell, 2007. "Convergence to Purchasing Power Parity at the Commencement of the Euro," Review of International Economics, Wiley Blackwell, vol. 15(1), pages 1-16, February.
    21. Enders, Walter & Falk, Barry, 1998. "Threshold-autoregressive, median-unbiased, and cointegration tests of purchasing power parity," International Journal of Forecasting, Elsevier, vol. 14(2), pages 171-186, June.
    22. Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-1580, November.
    23. 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.
    24. Edison, Hali J, 1987. "Purchasing Power Parity in the Long Run: A Test of the Dollar/Pound Exchange Rate (1890-1978)," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 19(3), pages 376-387, August.
    25. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
    26. Mariam Camarero & Cecilio Tamarit, 1996. "Cointegration and the PPP and the UIP hypotheses: An application to the Spanish integration in the EC," Open Economies Review, Springer, vol. 7(1), pages 61-76, January.
    27. Chortareas, Georgios & Kapetanios, George, 2009. "Getting PPP right: Identifying mean-reverting real exchange rates in panels," Journal of Banking & Finance, Elsevier, vol. 33(2), pages 390-404, February.
    28. Jurgen A. Doornik & Henrik Hansen, 2008. "An Omnibus Test for Univariate and Multivariate Normality," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 70(s1), pages 927-939, December.
    29. Huizinga, John, 1987. "An empirical investigation of the long-run behavior of real exchange rates," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 27(1), pages 149-214, January.
    30. Solnik, Bruno H., 1974. "An equilibrium model of the international capital market," Journal of Economic Theory, Elsevier, vol. 8(4), pages 500-524, August.
    31. Papell, David H., 1997. "Searching for stationarity: Purchasing power parity under the current float," Journal of International Economics, Elsevier, vol. 43(3-4), pages 313-332, November.
    32. Gadea, Maria-Dolores & Montanes, Antonio & Reyes, Marcelo, 2004. "The European Union currencies and the US dollar: from post-Bretton-Woods to the Euro," Journal of International Money and Finance, Elsevier, vol. 23(7-8), pages 1109-1136.
    33. Alan M. Taylor & Mark P. Taylor, 2004. "The Purchasing Power Parity Debate," Journal of Economic Perspectives, American Economic Association, vol. 18(4), pages 135-158, Fall.
    34. Obstfeld, Maurice & Rogoff, Kenneth, 1995. "Exchange Rate Dynamics Redux," Journal of Political Economy, University of Chicago Press, vol. 103(3), pages 624-660, June.
    35. Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501, Decembrie.
    36. Hakkio, Craig S. & Rush, Mark, 1991. "Cointegration: how short is the long run?," Journal of International Money and Finance, Elsevier, vol. 10(4), pages 571-581, December.
    37. 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.
    38. Anindya Banerjee & Lynne Cockerell & Bill Russell, 2001. "An I(2) analysis of inflation and the markup," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(3), pages 221-240.
    39. Hall, Stephen G. & Hondroyiannis, George & Kenjegaliev, Amangeldi & Swamy, P.A.V.B. & Tavlas, George S., 2013. "Is the relationship between prices and exchange rates homogeneous?," Journal of International Money and Finance, Elsevier, vol. 37(C), pages 411-438.
    40. Tatsuyoshi Miyakoshi, 2004. "A testing of the purchasing power parity hypothesis using a vector autoregressive model," Empirical Economics, Springer, vol. 29(3), pages 541-552, September.
    41. Kuo, Biing-Shen & Mikkola, Anne, 1999. "Re-examining long-run purchasing power parity," Journal of International Money and Finance, Elsevier, vol. 18(2), pages 251-266, February.
    42. Bruggeman, Annick & Donati, Paola & Warne, Anders, 2003. "Is the demand for euro area M3 stable?," Working Paper Series 255, European Central Bank.
    43. 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.
    44. Kenneth Rogoff, 1996. "The Purchasing Power Parity Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 647-668, June.
    45. Papell, David H. & Theodoridis, Hristos, 1998. "Increasing evidence of purchasing power parity over the current float," Journal of International Money and Finance, Elsevier, vol. 17(1), pages 41-50, February.
    46. Johansen, Soren & Juselius, Katarina, 1990. "Maximum Likelihood Estimation and Inference on Cointegration--With Applications to the Demand for Money," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 52(2), pages 169-210, May.
    47. Snaith, Stuart, 2012. "The PPP debate: Multiple breaks and cross-sectional dependence," Economics Letters, Elsevier, vol. 115(3), pages 342-344.
    48. Glen, Jack D., 1992. "Real exchange rates in the short, medium, and long run," Journal of International Economics, Elsevier, vol. 33(1-2), pages 147-166, August.
    49. Layton, Allan P. & Stark, Jonathan P., 1990. "Co-integration as an empirical test of purchasing power parity," Journal of Macroeconomics, Elsevier, vol. 12(1), pages 125-136.
    50. Corbae, Dean & Ouliaris, Sam, 1988. "Cointegration and Tests of Purchasing Power Parity," The Review of Economics and Statistics, MIT Press, vol. 70(3), pages 508-511, August.
    51. Juselius, Katarina & MacDonald, Ronald, 2004. "International parity relationships between the USA and Japan," Japan and the World Economy, Elsevier, vol. 16(1), pages 17-34, January.
    52. Jomana Amara & David Papell, 2006. "Testing for Purchasing Power Parity using stationary covariates," Applied Financial Economics, Taylor & Francis Journals, vol. 16(1-2), pages 29-39.
    53. Alan M. Taylor & Mark P. Taylor, 2004. "The Purchasing Power Parity Debate," Journal of Economic Perspectives, American Economic Association, vol. 18(4), pages 135-158, Fall.
    54. R. Scott Hacker & Abdulnasser Hatemi-J, 2005. "A test for multivariate ARCH effects," Applied Economics Letters, Taylor & Francis Journals, vol. 12(7), pages 411-417.
    55. repec:bla:scandj:v:78:y:1976:i:2:p:229-48 is not listed on IDEAS
    56. Dornbusch, Rudiger, 1976. "Expectations and Exchange Rate Dynamics," Journal of Political Economy, University of Chicago Press, vol. 84(6), pages 1161-1176, December.
    57. MacDonald, Ronald, 1996. "Panel unit root tests and real exchange rates," Economics Letters, Elsevier, vol. 50(1), pages 7-11, January.
    58. Taylor, Mark P. & Sarno, Lucio, 1998. "The behavior of real exchange rates during the post-Bretton Woods period," Journal of International Economics, Elsevier, vol. 46(2), pages 281-312, December.
    59. Rapach, David E, 2003. "International Evidence on the Long-Run Impact of Inflation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 35(1), pages 23-48, February.
    60. Hunter, J., 1990. "Cointegrating exogeneity," Economics Letters, Elsevier, vol. 34(1), pages 33-35, September.
    61. Juselius, Katarina, 2006. "The Cointegrated VAR Model: Methodology and Applications," OUP Catalogue, Oxford University Press, number 9780199285679, Decembrie.
    62. Hunter, John, 1992. "Tests of cointegrating exogeneity for PPP and uncovered interest rate parity in the United Kingdom," Journal of Policy Modeling, Elsevier, vol. 14(4), pages 453-463, August.
    63. Henrik Hansen & Søren Johansen, 1999. "Some tests for parameter constancy in cointegrated VAR-models," Econometrics Journal, Royal Economic Society, vol. 2(2), pages 306-333.
    64. Grilli, Vittorio & Kaminsky, Graciela, 1991. "Nominal exchange rate regimes and the real exchange rate : Evidence from the United States and Great Britain, 1885-1986," Journal of Monetary Economics, Elsevier, vol. 27(2), pages 191-212, April.
    65. 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.
    66. Adler, Michael & Lehmann, Bruce, 1983. "Deviations from Purchasing Power Parity in the Long Run," Journal of Finance, American Finance Association, vol. 38(5), pages 1471-1487, December.
    67. Merton, Robert C, 1973. "An Intertemporal Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 41(5), pages 867-887, September.
    68. Caporale, Guglielmo Maria & Kalyvitis, Sarantis & Pittis, Nikitas, 2001. "Testing for PPP and UIP in an FIML framework: Some evidence for Germany and Japan," Journal of Policy Modeling, Elsevier, vol. 23(6), pages 637-650, August.
    69. Kim, Yoonbai, 1990. "Purchasing Power Parity in the Long Run: A Cointegration Approach," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 22(4), pages 491-503, November.
    70. Mark, Nelson C., 1990. "Real and nominal exchange rates in the long run: An empirical investigation," Journal of International Economics, Elsevier, vol. 28(1-2), pages 115-136, February.
    71. Lothian, James R & Taylor, Mark P, 1996. "Real Exchange Rate Behavior: The Recent Float from the Perspective of the Past Two Centuries," Journal of Political Economy, University of Chicago Press, vol. 104(3), pages 488-509, June.
    72. Wu, Jyh-Lin & Chen, Show-Lin, 1999. "Are Real Exchange Rates Stationary Based on Panel Unit-Root Tests? Evidence from Pacific Basin Countries," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 4(3), pages 243-252, July.
    73. Erdal Ozmen & Aysun Gokcan, 2004. "Deviations from PPP and UIP in a financially open economy: the Turkish evidence," Applied Financial Economics, Taylor & Francis Journals, vol. 14(11), pages 779-784.
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    More about this item

    Keywords

    Purchasing power parity; Cointegrated VAR; Common trends; E31; E43; F31; F32;
    All these keywords.

    JEL classification:

    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • F31 - International Economics - - International Finance - - - Foreign Exchange
    • F32 - International Economics - - International Finance - - - Current Account Adjustment; Short-term Capital Movements

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