IDEAS home Printed from https://ideas.repec.org/p/zbw/sfb373/200069.html
   My bibliography  Save this paper

Fractional cointegration and real exchange rates

Author

Listed:
  • Caporale, Guglielmo Maria
  • Gil-Alaña, Luis A.

Abstract

This paper uses fractional integration and cointegration in order to model the DM/dollar and the yen/dollar real exchange rates in terms of both monetary and real factors, more specifically real interest rate and labour productivity differentials. We find that whilst the individual series may be integrated of order 1, their long-run relationship might have a fractionally cointegrated structure. This means that mean reversion occurs, consistently with the findings of other studies. However, it also indicates, in contrast to such studies, that the cointegrating relationship possesses long memory. In other words, the error correction term responds slowly to shocks, implying that deviations from equilibrium are long-lived. It appears that only a combination of real and monetary variables can accurately track down the movements of real exchange rates.

Suggested Citation

  • Caporale, Guglielmo Maria & Gil-Alaña, Luis A., 2000. "Fractional cointegration and real exchange rates," SFB 373 Discussion Papers 2000,69, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    • Handle: RePEc:zbw:sfb373:200069
    as

    Download full text from publisher

    File URL: https://www.econstor.eu/bitstream/10419/62239/1/723785708.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Campbell, John Y. & Clarida, Richard H., 1987. "The dollar and real interest rates," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 27(1), pages 103-139, January.
    2. Edison, Hali J. & Gagnon, Joseph E. & Melick, William R., 1997. "Understanding the empirical literature on purchasing power parity: the post-Bretton Woods era," Journal of International Money and Finance, Elsevier, vol. 16(1), pages 1-17, February.
    3. Kenneth Rogoff, 1996. "The Purchasing Power Parity Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 647-668, June.
    4. Gil-Alana, Luis A, 2001. "A Fractionally Integrated Exponential Model for UK Unemployment," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 20(5), pages 329-340, August.
    5. Gil-Alana, L. A. & Robinson, P. M., 1997. "Testing of unit root and other nonstationary hypotheses in macroeconomic time series," Journal of Econometrics, Elsevier, vol. 80(2), pages 241-268, October.
    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. Baillie, Richard T & Bollerslev, Tim, 1994. "Cointegration, Fractional Cointegration, and Exchange Rate Dynamics," Journal of Finance, American Finance Association, vol. 49(2), pages 737-745, June.
    8. L. A. Gil-Alana & P. M. Robinson, 2001. "Testing of seasonal fractional integration in UK and Japanese consumption and income," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(2), pages 95-114.
    9. Takatoshi Ito & Mr. Tamim Bayoumi & Mr. Peter Isard & Mr. Steven A. Symansky, 1996. "Exchange Rate Movements and Their Impact on Trade and Investment in the APEC Region," IMF Occasional Papers 1996/011, International Monetary Fund.
    10. Menzie D. Chinn, 2000. "The Usual Suspects? Productivity and Demand Shocks and Asia–Pacific Real Exchange Rates," Review of International Economics, Wiley Blackwell, vol. 8(1), pages 20-43, February.
    11. Richard H. Clarida & Jordi Gali, 1994. "Sources of real exchange rate fluctuations: how important are nominal shocks?," Proceedings, Federal Reserve Bank of Dallas, issue Apr.
    12. Baillie, Richard T & Bollerslev, Tim, 1994. "The long memory of the forward premium," Journal of International Money and Finance, Elsevier, vol. 13(5), pages 565-571, October.
    13. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 39(3), pages 106-135.
    14. 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 862-879, August.
    15. Dornbusch, Rudiger, 1976. "Expectations and Exchange Rate Dynamics," Journal of Political Economy, University of Chicago Press, vol. 84(6), pages 1161-1176, December.
    16. Meese, Richard A & Rogoff, Kenneth, 1988. " Was It Real? The Exchange Rate-Interest Differential Relation over the Modern Floating-Rate Period," Journal of Finance, American Finance Association, vol. 43(4), pages 933-948, September.
    17. L. A. Gil‐Alana, 2001. "Testing Stochastic Cycles in Macroeconomic Time Series," Journal of Time Series Analysis, Wiley Blackwell, vol. 22(4), pages 411-430, July.
    18. Mussa, Michael, 1982. "A Model of Exchange Rate Dynamics," Journal of Political Economy, University of Chicago Press, vol. 90(1), pages 74-104, February.
    19. Lothian, James R. & Taylor, Mark P., 1997. "Real exchange rate behavior," Journal of International Money and Finance, Elsevier, vol. 16(6), pages 945-954, December.
    20. Nelson, Charles R. & Plosser, Charles I., 1982. "Trends and random walks in macroeconmic time series : Some evidence and implications," Journal of Monetary Economics, Elsevier, vol. 10(2), pages 139-162.
    21. Gil-Alana, Luis A., 1999. "Testing fractional integration with monthly data," Economic Modelling, Elsevier, vol. 16(4), pages 613-629, December.
    22. Diebold, Francis X & Husted, Steven & Rush, Mark, 1991. "Real Exchange Rates under the Gold Standard," Journal of Political Economy, University of Chicago Press, vol. 99(6), pages 1252-1271, December.
    23. Sowell, Fallaw, 1992. "Maximum likelihood estimation of stationary univariate fractionally integrated time series models," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 165-188.
    24. Ronald Macdonald, 1995. "Long-Run Exchange Rate Modeling: A Survey of the Recent Evidence," IMF Staff Papers, Palgrave Macmillan, vol. 42(3), pages 437-489, September.
    25. 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.
    26. Michael Dueker & Richard Startz, 1998. "Maximum-Likelihood Estimation Of Fractional Cointegration With An Application To U.S. And Canadian Bond Rates," The Review of Economics and Statistics, MIT Press, vol. 80(3), pages 420-426, August.
    27. Gil-Alana, Luis A., 2000. "Mean reversion in the real exchange rates," Economics Letters, Elsevier, vol. 69(3), pages 285-288, December.
    28. Edison, Hali J. & Pauls, B. Dianne, 1993. "A re-assessment of the relationship between real exchange rates and real interest rates: 1974-1990," Journal of Monetary Economics, Elsevier, vol. 31(2), pages 165-187, April.
    29. Frankel, Jeffrey A, 1979. "On the Mark: A Theory of Floating Exchange Rates Based on Real Interest Differentials," American Economic Review, American Economic Association, vol. 69(4), pages 610-622, September.
    30. Froot, Kenneth A. & Rogoff, Kenneth, 1995. "Perspectives on PPP and long-run real exchange rates," Handbook of International Economics, in: G. M. Grossman & K. Rogoff (ed.), Handbook of International Economics, edition 1, volume 3, chapter 32, pages 1647-1688, Elsevier.
    31. Adrian Blundell-Wignall & Frank Browne, 1991. "Increasing Financial Market Integration, Real Exchange Rates and Macroeconomic Adjustment," OECD Economics Department Working Papers 96, OECD Publishing.
    32. Taylor, Mark P. & Peel, David A., 2000. "Nonlinear adjustment, long-run equilibrium and exchange rate fundamentals," Journal of International Money and Finance, Elsevier, vol. 19(1), pages 33-53, February.
    33. Bela Balassa, 1964. "The Purchasing-Power Parity Doctrine: A Reappraisal," Journal of Political Economy, University of Chicago Press, vol. 72, pages 584-584.
    34. Baxter, Marianne, 1994. "Real exchange rates and real interest differentials: Have we missed the business-cycle relationship?," Journal of Monetary Economics, Elsevier, vol. 33(1), pages 5-37, February.
    35. 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.
    36. 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.
    37. Stock, James H, 1987. "Asymptotic Properties of Least Squares Estimators of Cointegrating Vectors," Econometrica, Econometric Society, vol. 55(5), pages 1035-1056, September.
    38. C. W. J. Granger & Roselyne Joyeux, 1980. "An Introduction To Long‐Memory Time Series Models And Fractional Differencing," Journal of Time Series Analysis, Wiley Blackwell, vol. 1(1), pages 15-29, January.
    39. Wu, Yangru & Zhang, Hua, 1996. "Mean Reversion in Interest Rates: New Evidence from a Panel of OECD Countries," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 28(4), pages 604-621, November.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Lorenzo Reus & Guillermo Alexander Sepúlveda-Hurtado, 2023. "Foreign exchange trading and management with the stochastic dual dynamic programming method," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 9(1), pages 1-38, December.
    2. Luis A. Gil-Alana & Jiang Liang, 2011. "The PPP hypothesis in the US/China relationship. Fractional integration, time variation and data frequency," Faculty Working Papers 13/11, School of Economics and Business Administration, University of Navarra.
    3. de Truchis, Gilles & Keddad, Benjamin, 2013. "Southeast Asian monetary integration: New evidences from fractional cointegration of real exchange rates," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 26(C), pages 394-412.
    4. Boubaker, Heni & Zorgati, Mouna Ben Saad & Bannour, Nawres, 2021. "Interdependence between exchange rates: Evidence from multivariate analysis since the financial crisis to the COVID-19 crisis," Economic Analysis and Policy, Elsevier, vol. 71(C), pages 592-608.
    5. Galeotti, Marzio & Manera, Matteo & Lanza, Alessandro, 2006. "On the Robustness of Robustness Checks of the Environmental Kuznets Curve," Climate Change Modelling and Policy Working Papers 12045, Fondazione Eni Enrico Mattei (FEEM).
    6. Carlos P. Barros & Luis A. Gil-Alana & Zhongfei Chen, 2016. "Exchange rate persistence of the Chinese yuan against the US dollar in the NDF market," Empirical Economics, Springer, vol. 51(4), pages 1399-1414, December.
    7. Carlos P. Barros & Guglielmo Maria Caporale & Luis A. Gil-Alana, 2014. "Long Memory in Angolan Macroeconomic Series: Mean Reversion versus Explosive Behaviour," African Development Review, African Development Bank, vol. 26(1), pages 59-73, March.
    8. repec:zbw:bofrdp:2016_020 is not listed on IDEAS
    9. Luis Alberiko Gil-Alaña & Guiglielmo Maria Caporale, 2012. "Testing the PPP Hypothesis in the Sub-Saharan Countries," NCID Working Papers 10/2012, Navarra Center for International Development, University of Navarra.
    10. Marcel Aloy & Mohamed Boutahar & Karine Gente & Anne P駵in-Feissolle, 2013. "Long-run relationships between international stock prices: further evidence from fractional cointegration tests," Applied Economics, Taylor & Francis Journals, vol. 45(7), pages 817-828, March.
    11. Caporale, Guglielmo Maria & Gil-Alana, Luis A. & You, Kefei, 2018. "Exchange rate linkages between the ASEAN currencies, the US dollar and the Chinese RMB," Research in International Business and Finance, Elsevier, vol. 44(C), pages 227-238.
    12. Carlos P. Barros & Luis Alberiko Gil-Alana & João Faria, 2015. "Mozambique Metical Exchange Rate Dynamics: Evidence of Fractional Co-Integration in the USA and South African Rates," South African Journal of Economics, Economic Society of South Africa, vol. 83(4), pages 569-575, December.
    13. Caporale, Guglielmo Maria & Gil-Alana, Luis A. & You, Kefei, 2018. "Exchange rate linkages between the ASEAN currencies, the US dollar and the Chinese RMB," Research in International Business and Finance, Elsevier, vol. 44(C), pages 227-238.
    14. repec:ebl:ecbull:v:3:y:2004:i:47:p:1-8 is not listed on IDEAS

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Gil-Alana, L.A., 2006. "Seasonal and non-seasonal long memory effects in the Japanese real effective exchange rate," Journal of the Japanese and International Economies, Elsevier, vol. 20(1), pages 87-98, March.
    2. Taylor Mark P. & Sarno Lucio, 2001. "Real Exchange Rate Dynamics in Transition Economies: A Nonlinear Analysis," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 5(3), pages 1-26, October.
    3. Dimitrios Malliaropulos & Ekaterini Panopoulou & Nikitas Pittis & Theologos Pantelidis, 2006. "The Contribution of Growth and Interest Rate Differentials to the Persistence of Real Exchange Rates," The Institute for International Integration Studies Discussion Paper Series iiisdp135, IIIS.
    4. Lucio Sarno & Mark P. Taylor, 2002. "Purchasing Power Parity and the Real Exchange Rate," IMF Staff Papers, Palgrave Macmillan, vol. 49(1), pages 1-5.
    5. repec:onb:oenbwp:y::i:28:b:1 is not listed on IDEAS
    6. 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.
    7. Mark, Nelson C. & Choi, Doo-Yull, 1997. "Real exchange-rate prediction over long horizons," Journal of International Economics, Elsevier, vol. 43(1-2), pages 29-60, August.
    8. Dimitrios Malliaropulos & Ekaterini Panopoulou & Theologos Pantelidis & Nikitas Pittis, 2013. "Decomposing the persistence of real exchange rates," Empirical Economics, Springer, vol. 44(3), pages 1217-1242, June.
    9. Meier, Carsten-Patrick, 1999. "Predicting real exchange rates from real interest rate differentials and net foreign asset stocks: evidence for the mark/dollar parity," Kiel Working Papers 962, Kiel Institute for the World Economy (IfW Kiel).
    10. John H. Rogers, 1995. "Real shocks and real exchange rates in really long-term data," International Finance Discussion Papers 493, Board of Governors of the Federal Reserve System (U.S.).
    11. Nakagawa, Hironobu, 2002. "Real exchange rates and real interest differentials: implications of nonlinear adjustment in real exchange rates," Journal of Monetary Economics, Elsevier, vol. 49(3), pages 629-649, April.
    12. Javier Haulde & Morten Ørregaard Nielsen, 2022. "Fractional integration and cointegration," CREATES Research Papers 2022-02, Department of Economics and Business Economics, Aarhus University.
    13. Froot, Kenneth A. & Rogoff, Kenneth, 1995. "Perspectives on PPP and long-run real exchange rates," Handbook of International Economics, in: G. M. Grossman & K. Rogoff (ed.), Handbook of International Economics, edition 1, volume 3, chapter 32, pages 1647-1688, Elsevier.
    14. Brissimis, Sophocles N. & Sideris, Dimitris A. & Voumvaki, Fragiska K., 2005. "Testing long-run purchasing power parity under exchange rate targeting," Journal of International Money and Finance, Elsevier, vol. 24(6), pages 959-981, October.
    15. Strauss, Jack, 1999. "Productivity differentials, the relative price of non-tradables and real exchange rates," Journal of International Money and Finance, Elsevier, vol. 18(3), pages 383-409.
    16. Hoffmann, M. & MacDonald, R., 2001. "A real differential view of equilibrium real exchange rate," Discussion Paper Series In Economics And Econometrics 0103, Economics Division, School of Social Sciences, University of Southampton.
    17. JamesR. Lothian & MarkP. Taylor, 2008. "Real Exchange Rates Over the Past Two Centuries: How Important is the Harrod-Balassa-Samuelson Effect?," Economic Journal, Royal Economic Society, vol. 118(532), pages 1742-1763, October.
    18. Marcos José Dal Bianco, 2008. "Argentinean real exchange rate 1900-2006, test purchasing power parity theory," Estudios de Economia, University of Chile, Department of Economics, vol. 35(1 Year 20), pages 33-64, June.
    19. L.A. Gil-Alana, 2003. "Testing the Power of a Generalization of the KPSS-Tests against Fractionally Integrated Hypotheses," Computational Economics, Springer;Society for Computational Economics, vol. 22(1), pages 23-38, August.
    20. Ong, Li Lian, 1997. "Burgernomics: the economics of the Big Mac standard," Journal of International Money and Finance, Elsevier, vol. 16(6), pages 865-878, December.
    21. Benjamin J. C. Kim & David Karemera, 2006. "Assessing the forecasting accuracy of alternative nominal exchange rate models: the case of long memory," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 25(5), pages 369-380.

    More about this item

    Keywords

    fractional integration; fractional cointegration; real exchange rates;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • F30 - International Economics - - International Finance - - - General
    • F41 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Open Economy Macroeconomics

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:zbw:sfb373:200069. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ZBW - Leibniz Information Centre for Economics (email available below). General contact details of provider: https://edirc.repec.org/data/sfhubde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.