IDEAS home Printed from https://ideas.repec.org/p/fip/fedlwp/2000-016.html
   My bibliography  Save this paper

Do real exchange rates have autoregressive unit roots? a test under the alternative of long memory and breaks

Author

Listed:
  • Michael J. Dueker
  • Apostolos Serletis

Abstract

In this paper, we estimate (by maximum likelihood) the parameters of univariate fractionally integrated real exchange rate time series models, and test for autoregressive unit roots on the alternative of a covariance stationary long-memory process. We use quarterly dollar-based real exchange rates (since 1957) for seventeen OECD countries, and that the finding of unit autoregressive roots does not go away even with this more sophisticated alternative.

Suggested Citation

  • Michael J. Dueker & Apostolos Serletis, 2000. "Do real exchange rates have autoregressive unit roots? a test under the alternative of long memory and breaks," Working Papers 2000-016, Federal Reserve Bank of St. Louis.
    • Handle: RePEc:fip:fedlwp:2000-016
    DOI: 10.20955/wp.2000.016
    as

    Download full text from publisher

    File URL: https://s3.amazonaws.com/real.stlouisfed.org/wp/2000/2000-016.pdf
    File Function: Full Text
    Download Restriction: no
    File URL: https://libkey.io/10.20955/wp.2000.016?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. Serletis, Apostolos & Zimonopoulos, Grigorios, 1997. "Breaking Trend Functions in Real Exchange Rates: Evidence from Seventeen OECD Countries," Journal of Macroeconomics, Elsevier, vol. 19(4), pages 781-802, October.
    3. Perron, Pierre & Vogelsang, Timothy J., "undated". "Level Shifts and Purchasing Power Parity," Instructional Stata datasets for econometrics levshift, Boston College Department of Economics.
    4. Apostolos Serletis, 1994. "Maximum likelihood cointegration tests of purchasing power parity: Evidence from seventeen OECD countries," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 130(3), pages 476-493, September.
    5. Dickey, David A & Fuller, Wayne A, 1981. "Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root," Econometrica, Econometric Society, vol. 49(4), pages 1057-1072, June.
    6. Perron, Pierre, 1989. "The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Econometrica, Econometric Society, vol. 57(6), pages 1361-1401, November.
    7. 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.
    8. Perron, Pierre & Vogelsang, Timothy J, 1992. "Nonstationarity and Level Shifts with an Application to Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 301-320, July.
    9. Phylaktis, Kate & Kassimatis, Yiannis, 1994. "Does the real exchange rate follow a random walk? The Pacific Basin perspective," Journal of International Money and Finance, Elsevier, vol. 13(4), pages 476-495, August.
    10. 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.
    11. 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.
    12. Baillie, Richard T., 1996. "Long memory processes and fractional integration in econometrics," Journal of Econometrics, Elsevier, vol. 73(1), pages 5-59, July.
    13. 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.
    14. Mark P. Taylor, 2003. "Purchasing Power Parity," Review of International Economics, Wiley Blackwell, vol. 11(3), pages 436-452, August.
    15. Alston Flynn, N. & Boucher, Janice L., 1993. "Tests of long-run Purchasing Power Parity using alternative methodologies," Journal of Macroeconomics, Elsevier, vol. 15(1), pages 109-122.
    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. McMillan, David G. & Wohar, Mark E., 2010. "Persistence and time-varying coefficients," Economics Letters, Elsevier, vol. 108(1), pages 85-88, July.
    2. Ata Assaf, 2006. "Nonlinear Trend Stationarity in Real Exchange Rates: Evidence from Nonlinear ADF tests," Annals of Economics and Finance, Society for AEF, vol. 7(2), pages 283-294, November.
    3. Coe, Patrick J. & Serletis, Apostolos, 2002. "Bounds tests of the theory of purchasing power parity," Journal of Banking & Finance, Elsevier, vol. 26(1), pages 179-199, January.
    4. Luis Gil-Alana, 2004. "The dynamics of the real exchange rates in Europe: a comparative study across countries using fractional integration," Applied Economics Letters, Taylor & Francis Journals, vol. 11(7), pages 429-432.
    5. Ata Assaf, 2004. "Rescaled variance analysis of real exchange rates," Applied Economics Letters, Taylor & Francis Journals, vol. 11(5), pages 303-306.
    6. Stefan Norrbin & Aaron Smallwood, 2010. "Generalized long memory and mean reversion of the real exchange rate," Applied Economics, Taylor & Francis Journals, vol. 42(11), pages 1377-1386.
    7. Paresh Kumar Narayan, 2005. "Testing the Unit Root Hypothesis When the Alternative is a Trend Break Stationary Process: An Application to Tourist Arrivals in Fiji," Tourism Economics, , vol. 11(3), pages 351-364, September.
    8. Narayan Paresh K & Prasad Biman Chand, 2005. "The Validity of Purchasing Power Parity Hypothesis for Eleven Middle Eastern Countries," Review of Middle East Economics and Finance, De Gruyter, vol. 3(2), pages 44-58, August.
    9. Assaf, Ata, 2008. "Nonstationarity in real exchange rates using unit root tests with a level shift at unknown time," International Review of Economics & Finance, Elsevier, vol. 17(2), pages 269-278.

    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. Serletis, Apostolos & Shahmoradi, Asghar, 2007. "Chaos, self-organized criticality, and SETAR nonlinearity: An analysis of purchasing power parity between Canada and the United States," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1437-1444.
    2. Serletis, Apostolos & Gogas, Periklis, 2004. "Long-horizon regression tests of the theory of purchasing power parity," Journal of Banking & Finance, Elsevier, vol. 28(8), pages 1961-1985, August.
    3. Coe, Patrick J. & Serletis, Apostolos, 2002. "Bounds tests of the theory of purchasing power parity," Journal of Banking & Finance, Elsevier, vol. 26(1), pages 179-199, January.
    4. Paresh Kumar Narayan, 2005. "New evidence on purchasing power parity from 17 OECD countries," Applied Economics, Taylor & Francis Journals, vol. 37(9), pages 1063-1071.
    5. Ata Assaf, 2006. "Nonlinear Trend Stationarity in Real Exchange Rates: Evidence from Nonlinear ADF tests," Annals of Economics and Finance, Society for AEF, vol. 7(2), pages 283-294, November.
    6. 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.
    7. Axel Grossmann & Marc Simpson & Teofilo Ozuna, 2014. "Investigating the PPP hypothesis using constructed U.S. dollar equilibrium exchange rate misalignments over the post-bretton woods period," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 38(2), pages 235-268, April.
    8. Franses,Philip Hans & Dijk,Dick van & Opschoor,Anne, 2014. "Time Series Models for Business and Economic Forecasting," Cambridge Books, Cambridge University Press, number 9780521520911, November.
    9. Ozdemir, Zeynel Abidin & Cakan, Esin, 2010. "The persistence in real exchange rate: Evidence from East Asian countries," Economic Modelling, Elsevier, vol. 27(5), pages 891-895, September.
    10. Wang, Chong, 1998. "Testing for purchasing power parity: a nonlinear approach," ISU General Staff Papers 1998010108000013534, Iowa State University, Department of Economics.
    11. Niels Haldrup & Robinson Kruse & Timo Teräsvirta & Rasmus T. Varneskov, 2013. "Unit roots, non-linearities and structural breaks," Chapters, in: Nigar Hashimzade & Michael A. Thornton (ed.), Handbook of Research Methods and Applications in Empirical Macroeconomics, chapter 4, pages 61-94, Edward Elgar Publishing.
    12. Monojit Chatterji & Homagni Choudhury, 2010. "The Changing Inter-Industry Wage Structure of the Organised Manufacturing Sector in India, 1973-74 to 2003-04," Dundee Discussion Papers in Economics 244, Economic Studies, University of Dundee.
    13. Jorion, Philippe & Sweeney, Richard J., 1996. "Mean reversion in real exchange rates: evidence and implications for forecasting," Journal of International Money and Finance, Elsevier, vol. 15(4), pages 535-550, August.
    14. 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.
    15. Kawai, Masahiro & Ohara, Hidetaka, 1997. "Nonstationarity of Real Exchange Rates in the G7 Countries: Are They Cointegrated with Real Variables?," Journal of the Japanese and International Economies, Elsevier, vol. 11(4), pages 523-547, December.
    16. González-Val, Rafael & Marcén, Miriam, 2012. "Unilateral divorce versus child custody and child support in the U.S," Journal of Economic Behavior & Organization, Elsevier, vol. 81(2), pages 613-643.
    17. Brodsky, Boris, 2008. "Structural Changes and Unit Roots: Distinguishing Models of Nonstationary Time Series," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 11(3), pages 52-63.
    18. González-Val, Rafael & Marcén, Miriam, 2012. "Breaks in the breaks: An analysis of divorce rates in Europe," International Review of Law and Economics, Elsevier, vol. 32(2), pages 242-255.
    19. Kul B. Luintel, 2000. "Real exchange rate behaviour: evidence from black markets," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(2), pages 161-185.
    20. Narayan Paresh K & Prasad Biman Chand, 2005. "The Validity of Purchasing Power Parity Hypothesis for Eleven Middle Eastern Countries," Review of Middle East Economics and Finance, De Gruyter, vol. 3(2), pages 44-58, August.

    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:fip:fedlwp:2000-016. 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: Anna Oates (email available below). General contact details of provider: https://edirc.repec.org/data/frbslus.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.