IDEAS home Printed from https://ideas.repec.org/a/cuf/journl/y2006v7i2p283-294.html
   My bibliography  Save this article

Nonlinear Trend Stationarity in Real Exchange Rates: Evidence from Nonlinear ADF tests

Author

Listed:
  • Ata Assaf

    (Odette School of Business University of Windsor Windsor)

Abstract

In this article we test for unit root in real exchange rates during the recent floating exchange rate period. In doing so, we use the unit root tests proposed by Bierens (1997a) and Bierens (1997b) that have drift hypothesis against a very general trend stationarity hypothesis, namely the alternative that the time series is stationarity about an almost arbitrary deterministic function of time. Bierens approach employs the fact that any function of time can be approximately arbitrary close by a linear function of Chebishev polynomials. The application of the tests to real exchange rate series indicate that these series are nonlinear trend stationary, and therefore, we conclude that the real exchange rate behavior may not be so different after all but simply perceived to be so because of the use of previously different unit root tests.

Suggested Citation

  • 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.
    • Handle: RePEc:cuf:journl:y:2006:v:7:i:2:p:283-294
    as

    Download full text from publisher

    File URL: http://www.aeconf.net/Articles/Nov2006/aef070205.pdf
    Download Restriction: no
    File URL: http://down.aefweb.net/AefArticles/aef070205.pdf
    Download Restriction: no

    References listed on IDEAS

    as
    1. 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.
    2. Olekalns, Nilss & Wilkins, Nigel, 1998. "Re-examining the Evidence for Long-Run Purchasing Power Parity," The Economic Record, The Economic Society of Australia, vol. 74(224), pages 54-61, March.
    3. Kenneth Rogoff, 1996. "The Purchasing Power Parity Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 647-668, June.
    4. Taylor, Mark P & Peel, David A & Sarno, Lucio, 2001. "Nonlinear Mean-Reversion in Real Exchange Rates: Toward a Solution to the Purchasing Power Parity Puzzles," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(4), pages 1015-1042, November.
    5. Lee, Dongin & Schmidt, Peter, 1996. "On the power of the KPSS test of stationarity against fractionally-integrated alternatives," Journal of Econometrics, Elsevier, vol. 73(1), pages 285-302, July.
    6. 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.
    7. Kwiatkowski, Denis & Phillips, Peter C. B. & Schmidt, Peter & Shin, Yongcheol, 1992. "Testing the null hypothesis of stationarity against the alternative of a unit root : How sure are we that economic time series have a unit root?," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 159-178.
    8. 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.
    9. 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.
    10. Bierens, Herman J., 1997. "Testing the unit root with drift hypothesis against nonlinear trend stationarity, with an application to the US price level and interest rate," Journal of Econometrics, Elsevier, vol. 81(1), pages 29-64, November.
    11. Cheung, Yin-Wong & Lai, Kon S., 2001. "Long memory and nonlinear mean reversion in Japanese yen-based real exchange rates," Journal of International Money and Finance, Elsevier, vol. 20(1), pages 115-132, February.
    12. Dornbusch, Rudiger, 1976. "Expectations and Exchange Rate Dynamics," Journal of Political Economy, University of Chicago Press, vol. 84(6), pages 1161-1176, December.
    13. Gil-Alana, Luis A., 2000. "Mean reversion in the real exchange rates," Economics Letters, Elsevier, vol. 69(3), pages 285-288, December.
    14. MacDonald, Ronald, 1996. "Panel unit root tests and real exchange rates," Economics Letters, Elsevier, vol. 50(1), pages 7-11, January.
    15. Dumas, Bernard, 1992. "Dynamic Equilibrium and the Real Exchange Rate in a Spatially Separated World," Review of Financial Studies, Society for Financial Studies, vol. 5(2), pages 153-180.
    16. Oh, Keun-Yeob, 1996. "Purchasing power parity and unit root tests using panel data," Journal of International Money and Finance, Elsevier, vol. 15(3), pages 405-418, June.
    17. 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.
    18. Perron, Pierre, 1990. "Testing for a Unit Root in a Time Series with a Changing Mean," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(2), pages 153-162, April.
    19. Cristina Del Rio & Rafael Santamaria, 2000. "Empirical regularities for the currencies of European monetary system during the 1976-1993 period," Applied Economics Letters, Taylor & Francis Journals, vol. 7(12), pages 755-764.
    20. 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.
    21. Mehmet Caner & Lutz Kilian, 1999. "Size Distortions of Tests of the Null Hypothesis of Stationarity: Evidence and Implications for Applied Work," Computing in Economics and Finance 1999 511, Society for Computational Economics.
    22. Bierens, Herman J., 1997. "Nonparametric cointegration analysis," Journal of Econometrics, Elsevier, vol. 77(2), pages 379-404, April.
    23. Apostolos Serletis & Periklis Gogas, 2000. "Purchasing power parity, nonlinearity and chaos," Applied Financial Economics, Taylor & Francis Journals, vol. 10(6), pages 615-622.
    24. 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.
    25. 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.
    26. Coakley, Jerry & Fuertes, Ana Maria, 1997. "New panel unit root tests of PPP," Economics Letters, Elsevier, vol. 57(1), pages 17-22, November.
    27. Henry, Olan T. & Olekalns, Nilss, 2002. "Does the Australian dollar real exchange rate display mean reversion," Journal of International Money and Finance, Elsevier, vol. 21(5), pages 651-666, October.
    28. Cheung, Yin-Wong & Lai, Kon S., 1998. "Parity reversion in real exchange rates during the post-Bretton Woods period," Journal of International Money and Finance, Elsevier, vol. 17(4), pages 597-614, August.
    29. Luis Gil-Alana, 2002. "Real exchange rates: evidence from black markets using fractionally integrated semiparametric techniques," Applied Economics Letters, Taylor & Francis Journals, vol. 9(12), pages 787-790.
    30. 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.
    31. 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.
    32. Ceglowski, Janet, 1996. "The Real Yen Exchange Rate and Japanese Productivity Growth," Review of International Economics, Wiley Blackwell, vol. 4(1), pages 54-63, February.
    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. repec:ebl:ecbull:v:3:y:2008:i:27:p:1-8 is not listed on IDEAS
    2. HOLMES, Mark J, 2008. "Non-Linear Trend Stationarity And Co-Trending In Latin American Real Exchange Rates," Applied Econometrics and International Development, Euro-American Association of Economic Development, vol. 8(1), pages 107-118.
    3. Juan Carlos Cuestas & Estefania Mourelle, 2011. "Nonlinearities in real exchange rate determination: do African exchange rates follow a random walk?," Applied Economics, Taylor & Francis Journals, vol. 43(2), pages 243-258.
    4. Juan Carlos Cuestas & Paulo José Regis, 2008. "Testing for PPP in Australia: Evidence from unit root test against nonlinear trend stationarity alternatives," Economics Bulletin, AccessEcon, vol. 3(27), pages 1-8.

    More about this item

    Keywords

    Real exchange rates; PPP; Nonlinear ADF; Nonlinear trend stationary;

    JEL classification:

    • C45 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Neural Networks and Related Topics
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets

    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:cuf:journl:y:2006:v:7:i:2:p:283-294. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Qiang Gao). General contact details of provider: http://edirc.repec.org/data/emcufcn.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.