IDEAS home Printed from https://ideas.repec.org/a/taf/applec/v37y2005i20p2335-2347.html
   My bibliography  Save this article

Testing mean reversion in target-zone exchange rates

Author

Listed:
  • Giuseppe Cavaliere

Abstract

The aim of the paper is to assess to what extent European Monetary System (EMS) target zone exchange rates have been characterized by mean reverting behaviour. To this purpose, a new class of mean reversion tests is introduced. With respect to standard approaches, the proposed tests - which are based on the sample excursion of the exchange rate within the band - have a better ability to detect target-zone mean reverting dynamics. The empirical analysis of the exchange rates among the main EMS currencies shows that the degree of mean reversion is much higher than what has been reported in the literature, both before and after the target zone widening of 1993. Finally, the proposed tests have a wider range of applications since they originate a new approach to unit root testing.

Suggested Citation

  • Giuseppe Cavaliere, 2005. "Testing mean reversion in target-zone exchange rates," Applied Economics, Taylor & Francis Journals, vol. 37(20), pages 2335-2347.
  • Handle: RePEc:taf:applec:v:37:y:2005:i:20:p:2335-2347
    DOI: 10.1080/00036840500359283
    as

    Download full text from publisher

    File URL: http://www.tandfonline.com/doi/abs/10.1080/00036840500359283
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1080/00036840500359283?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Lahiri, Kajal & Mamingi, Nlandu, 1995. "Testing for cointegration: Power versus frequency of observation -- another view," Economics Letters, Elsevier, vol. 49(2), pages 121-124, August.
    2. Anthony, Myrvin & MacDonald, Ronald, 1998. "On the mean-reverting properties of target zone exchange rates: Some evidence from the ERM," European Economic Review, Elsevier, vol. 42(8), pages 1493-1523, September.
    3. Sarno, Lucio & Taylor, Mark P., 1998. "Real exchange rates under the recent float: unequivocal evidence of mean reversion," Economics Letters, Elsevier, vol. 60(2), pages 131-137, August.
    4. Cavaliere, Giuseppe, 2005. "Limited Time Series With A Unit Root," Econometric Theory, Cambridge University Press, vol. 21(5), pages 907-945, October.
    5. Phillips, P C B, 1987. "Time Series Regression with a Unit Root," Econometrica, Econometric Society, vol. 55(2), pages 277-301, March.
    6. Rose, Andrew K. & Svensson, Lars E. O., 1994. "European exchange rate credibility before the fall," European Economic Review, Elsevier, vol. 38(6), pages 1185-1216, June.
    7. Anthony, Myrvin & MacDonald, Ronald, 1999. "The width of the band and exchange rate mean-reversion: some further ERM-based results," Journal of International Money and Finance, Elsevier, vol. 18(3), pages 411-428.
    8. Iannizzotto, Matteo & Taylor, Mark P, 1999. "The Target Zone Model, Non-linearity and Mean Reversion: Is the Honeymoon Really Over?," Economic Journal, Royal Economic Society, vol. 109(454), pages 96-110, March.
    9. Taylor, Mark P. & Iannizzotto, Matteo, 2001. "On the mean-reverting properties of target zone exchange rates: a cautionary note," Economics Letters, Elsevier, vol. 71(1), pages 117-129, April.
    10. S. Zhou, 2003. "Evidence on the stationarity of ERM exchange rates," Applied Economics Letters, Taylor & Francis Journals, vol. 10(4), pages 231-233.
    11. J. Huston McCulloch, 1977. "The Austrian Theory of the Marginal Use And of Ordinal Marginal Utility," NBER Working Papers 0170, National Bureau of Economic Research, Inc.
    12. Lo, Andrew W, 1991. "Long-Term Memory in Stock Market Prices," Econometrica, Econometric Society, vol. 59(5), pages 1279-1313, September.
    13. Peter C. B. Phillips & Zhijie Xiao, 1998. "A Primer on Unit Root Testing," Journal of Economic Surveys, Wiley Blackwell, vol. 12(5), pages 423-470, December.
    14. Ait-Sahalia, Yacine, 1996. "Testing Continuous-Time Models of the Spot Interest Rate," The Review of Financial Studies, Society for Financial Studies, vol. 9(2), pages 385-426.
    15. MacKinnon, James G & Haug, Alfred A & Michelis, Leo, 1999. "Numerical Distribution Functions of Likelihood Ratio Tests for Cointegration," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 14(5), pages 563-577, Sept.-Oct.
    16. Nicolau, João, 2002. "Stationary Processes That Look Like Random Walks— The Bounded Random Walk Process In Discrete And Continuous Time," Econometric Theory, Cambridge University Press, vol. 18(1), pages 99-118, February.
    17. Otero, Jesus & Smith, Jeremy, 2000. "Testing for cointegration: power versus frequency of observation -- further Monte Carlo results," Economics Letters, Elsevier, vol. 67(1), pages 5-9, April.
    18. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-858, May.
    19. Charalambos Pattichis, 2002. "Mean reversion in target zones: a re-examination of some ERM exchange rates," Applied Economics, Taylor & Francis Journals, vol. 34(9), pages 1141-1145.
    20. Giuseppe Cavaliere, 2001. "Testing the unit root hypothesis using generalized range statistics," Econometrics Journal, Royal Economic Society, vol. 4(1), pages 1-39.
    21. Paul R. Krugman, 1991. "Target Zones and Exchange Rate Dynamics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(3), pages 669-682.
    22. Yoosoon Chang & Joon Park, 2002. "On The Asymptotics Of Adf Tests For Unit Roots," Econometric Reviews, Taylor & Francis Journals, vol. 21(4), pages 431-447.
    23. Richard H. Clarida, 1999. "G3 Exchange Rate Relationships: A Recap of the Record and a Review of Proposals for Change," NBER Working Papers 7434, National Bureau of Economic Research, Inc.
    24. Serena Ng & Pierre Perron, 2001. "LAG Length Selection and the Construction of Unit Root Tests with Good Size and Power," Econometrica, Econometric Society, vol. 69(6), pages 1519-1554, November.
    25. Phillips, P C B, 1987. "Time Series Regression with a Unit Root," Econometrica, Econometric Society, vol. 55(2), pages 277-301, March.
    26. repec:bla:jecsur:v:12:y:1998:i:5:p:423-69 is not listed on IDEAS
    27. Clifford Ball & Antonio Roma, 1998. "Detecting mean reversion within reflecting barriers: application to the European Exchange Rate Mechanism," Applied Mathematical Finance, Taylor & Francis Journals, vol. 5(1), pages 1-15.
    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. Margherita Gerolimetto & Stefano Magrini, 2020. "Testing for boundary conditions in case of fractionally integrated processes," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 29(2), pages 357-371, June.
    2. Miller, J. Isaac, 2011. "Testing the bounds: Empirical behavior of target zone fundamentals," Economic Modelling, Elsevier, vol. 28(4), pages 1782-1792, July.

    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. 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.
    2. Giuseppe Cavaliere, 2002. "Bounded integrated processes and unit root tests," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 11(1), pages 41-69, February.
    3. António Portugal Duarte & João Sousa Andrade & Adelaide Duarte, 2009. "Exchange Rate Mean Reversion within a Target Zone: Evidence from a Country on the Periphery of the ERM," GEMF Working Papers 2009-15, GEMF, Faculty of Economics, University of Coimbra.
    4. Harvey, David I. & Leybourne, Stephen J. & Taylor, A.M. Robert, 2009. "Unit Root Testing In Practice: Dealing With Uncertainty Over The Trend And Initial Condition," Econometric Theory, Cambridge University Press, vol. 25(3), pages 587-636, June.
    5. Brendan K. Beare, 2018. "Unit Root Testing with Unstable Volatility," Journal of Time Series Analysis, Wiley Blackwell, vol. 39(6), pages 816-835, November.
    6. David I. Harvey, & Stephen J. Leybourne, & A. M. Robert Taylor, 2007. "Testing for a unit root when uncertain about the trend [Revised to become 07/03 above]," Discussion Papers 06/03, University of Nottingham, Granger Centre for Time Series Econometrics.
    7. Jürgen Wolters & Uwe Hassler, 2006. "Unit root testing," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 90(1), pages 43-58, March.
    8. Harvey, David I. & Leybourne, Stephen J. & Taylor, A.M. Robert, 2012. "Testing for unit roots in the presence of uncertainty over both the trend and initial condition," Journal of Econometrics, Elsevier, vol. 169(2), pages 188-195.
    9. Giuseppe Cavaliere, 2000. "A Rescaled Range Statistics Approach to Unit Root Tests," Econometric Society World Congress 2000 Contributed Papers 0318, Econometric Society.
    10. Hui, C.H. & Lo, C.F., 2009. "A note on estimating realignment probabilities - A first-passage-time approach," Journal of International Money and Finance, Elsevier, vol. 28(5), pages 804-812, September.
    11. Baker, Mindy Lyn, 2009. "Three essays concerning agriculture and energy," ISU General Staff Papers 200901010800001849, Iowa State University, Department of Economics.
    12. Fan, Yanqin & Gençay, Ramazan, 2010. "Unit Root Tests With Wavelets," Econometric Theory, Cambridge University Press, vol. 26(5), pages 1305-1331, October.
    13. Cavaliere, Giuseppe & Xu, Fang, 2014. "Testing for unit roots in bounded time series," Journal of Econometrics, Elsevier, vol. 178(P2), pages 259-272.
    14. Castro, Tomás del Barrio & Rodrigues, Paulo M.M. & Taylor, A.M. Robert, 2013. "The Impact Of Persistent Cycles On Zero Frequency Unit Root Tests," Econometric Theory, Cambridge University Press, vol. 29(6), pages 1289-1313, December.
    15. Ledenyov, Dimitri O. & Ledenyov, Viktor O., 2015. "Wave function method to forecast foreign currencies exchange rates at ultra high frequency electronic trading in foreign currencies exchange markets," MPRA Paper 67470, University Library of Munich, Germany.
    16. Miller, J. Isaac, 2011. "Testing the bounds: Empirical behavior of target zone fundamentals," Economic Modelling, Elsevier, vol. 28(4), pages 1782-1792, July.
    17. Michael Jansson & Morten Ørregaard Nielsen, 2012. "Nearly Efficient Likelihood Ratio Tests of the Unit Root Hypothesis," Econometrica, Econometric Society, vol. 80(5), pages 2321-2332, September.
    18. Gabriel Zsurkis & JoÃo Nicolau & Paulo M. M. Rodrigues, 2021. "A Re‐Examination of Inflation Persistence Dynamics in OECD Countries: A New Approach," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 83(4), pages 935-959, August.
    19. Reitz, Stefan & Taylor, Mark P., 2013. "Exchange rates in target zones: Evidence from the Danish Krone," Kiel Working Papers 1827, Kiel Institute for the World Economy (IfW Kiel).
    20. Mehdi Hosseinkouchack & Uwe Hassler, 2016. "Powerful Unit Root Tests Free of Nuisance Parameters," Journal of Time Series Analysis, Wiley Blackwell, vol. 37(4), pages 533-554, July.

    More about this item

    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:taf:applec:v:37:y:2005:i:20:p:2335-2347. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/RAEC20 .

    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.