IDEAS home Printed from https://ideas.repec.org/a/taf/applec/v42y2010i11p1377-1386.html
   My bibliography  Save this article

Generalized long memory and mean reversion of the real exchange rate

Author

Listed:
  • Stefan Norrbin
  • Aaron Smallwood

Abstract

Definitive evidence regarding a rapid mean reversion of the real exchange rate is not present when using standard linear methodology, including unit root tests and fractional integration. To consider the robustness of these results, we use an encompassing model, the Gegenbauer AutoRegressive Moving Average (GARMA) model, which nests as special cases the existing linear methods. The GARMA model accommodates a complete notion of persistence and allows shocks to dissipate slowly in a cyclical manner. We find evidence supporting a weak version of purchasing power parity, where equilibrium errors are long memory with strongly persistent cycles. However, this new form of cyclical mean reversion is likely too slow to be economically meaningful. The inability to find a strong equilibrium attractor process, using a very general encompassing linear methodology provides support for the recent models that allow for a nonlinear attraction process and for shifting real exchange rate equilibria.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:applec:v:42:y:2010:i:11:p:1377-1386
    DOI: 10.1080/00036840701721349
    as

    Download full text from publisher

    File URL: http://www.tandfonline.com/doi/abs/10.1080/00036840701721349
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00036840701721349?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. Michael Arghyrou & Virginie Boinet & Christopher Martin, 2006. "Non-linear and non-symmetric exchange-rate adjustment: Evidence from medium- and high-inflation countries," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 30(1), pages 38-56, March.
    2. Murray, Christian J. & Papell, David H., 2005. "Do Panels Help Solve the Purchasing Power Parity Puzzle?," Journal of Business & Economic Statistics, American Statistical Association, vol. 23, pages 410-415, October.
    3. 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.
    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. Kugler, Peter & Lenz, Carlos, 1993. "Multivariate Cointegration Analysis and the Long-Run Validity of PPP," The Review of Economics and Statistics, MIT Press, vol. 75(1), pages 180-184, February.
    6. Andersson, Michael K. & Gredenhoff, Mikael P., 1999. "On the maximum likelihood cointegration procedure under a fractional equilibrium error," Economics Letters, Elsevier, vol. 65(2), pages 143-147, November.
    7. Christian Murray & David Papell, 2005. "The purchasing power parity puzzle is worse than you think," Empirical Economics, Springer, vol. 30(3), pages 783-790, October.
    8. Walter Enders & Selahattin Dibooglu, 2001. "Long-Run Purchasing Power Parity with Asymmetric Adjustment," Southern Economic Journal, John Wiley & Sons, vol. 68(2), pages 433-445, October.
    9. Cheung, Yin-Wong & Lai, Kon S. & Bergman, Michael, 2004. "Dissecting the PPP puzzle: the unconventional roles of nominal exchange rate and price adjustments," Journal of International Economics, Elsevier, vol. 64(1), pages 135-150, October.
    10. Sarno,Lucio & Taylor,Mark P., 2003. "The Economics of Exchange Rates," Cambridge Books, Cambridge University Press, number 9780521485845.
    11. Hualde, Javier & Robinson, Peter M., 2003. "Cointegration in fractional systems with unkown integration orders," LSE Research Online Documents on Economics 58050, London School of Economics and Political Science, LSE Library.
    12. Natalie D. Hegwood & David H. Papell, 2002. "Purchasing Power Parity under the Gold Standard," Southern Economic Journal, John Wiley & Sons, vol. 69(1), pages 72-91, July.
    13. 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.
    14. Murray, Christian J. & Papell, David H., 2002. "The purchasing power parity persistence paradigm," Journal of International Economics, Elsevier, vol. 56(1), pages 1-19, January.
    15. Baum, Christopher F. & Barkoulas, John T. & Caglayan, Mustafa, 1999. "Long memory or structural breaks: can either explain nonstationary real exchange rates under the current float?," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 9(4), pages 359-376, November.
    16. 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.
    17. Javier Hualde & Peter M Robinson, 2003. "Cointegration in Fractional Systems with Unkown Integration Orders," STICERD - Econometrics Paper Series 449, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    18. A. Mansur & M. Masih & Rumi Masih, 2004. "Fractional cointegration, low frequency dynamics and long-run purchasing power parity: an analysis of the Australian dollar over its recent float," Applied Economics, Taylor & Francis Journals, vol. 36(6), pages 593-605.
    19. 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.
    20. Aaron Smallwood & Stefan C. Norrbin, 2008. "An Encompassing Test of Real Interest Rate Equalization," Review of International Economics, Wiley Blackwell, vol. 16(1), pages 114-126, February.
    21. Walter Enders & Kamol Chumrusphonlert, 2004. "Threshold cointegration and purchasing power parity in the pacific nations," Applied Economics, Taylor & Francis Journals, vol. 36(9), pages 889-896.
    22. Aaron Smallwood & Stefan Norrbin, 2004. "Estimating cointegrating vectors using near unit root variables," Applied Economics Letters, Taylor & Francis Journals, vol. 11(12), pages 781-784.
    23. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
    24. P. M. Robinson & J. Hualde, 2003. "Cointegration in Fractional Systems with Unknown Integration Orders," Econometrica, Econometric Society, vol. 71(6), pages 1727-1766, November.
    25. L. Achy, 2003. "Parity reversion persistence in real exchange rates: middle income country case," Applied Economics, Taylor & Francis Journals, vol. 35(5), pages 541-553.
    26. Stefan C. Norrbin & Aaron D. Smallwood, 2006. "Generalized long memory processes, failure of cointegration tests and exchange rate dynamics," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(4), pages 409-417.
    27. Rossi, Barbara, 2005. "Confidence Intervals for Half-Life Deviations From Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 23, pages 432-442, October.
    28. 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.
    29. Lothian, James R. & Taylor, Mark P., 2000. "Purchasing power parity over two centuries: strengthening the case for real exchange rate stability: A reply to Cuddington and Liang," Journal of International Money and Finance, Elsevier, vol. 19(5), pages 759-764, October.
    30. 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.
    31. Sercu, Piet & Uppal, Raman & Van Hulle, Cynthia, 1995. "The Exchange Rate in the Presence of Transaction Costs: Implications for Tests of Purchasing Power Parity," Journal of Finance, American Finance Association, vol. 50(4), pages 1309-1319, September.
    32. 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.
    33. Gonzalo, Jesus & Lee, Tae-Hwy, 1998. "Pitfalls in testing for long run relationships," Journal of Econometrics, Elsevier, vol. 86(1), pages 129-154, June.
    34. Erhard Reschenhofer & Benedikt M. Pötscher & Michael A. Hauser, 1999. "Measuring persistence in aggregate output: ARMA models, fractionally integrated ARMA models and nonparametric procedures," Empirical Economics, Springer, vol. 24(2), pages 243-269.
    35. 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.
    36. Robinson, Peter M. & Hualde, Javier, 2003. "Cointegration in fractional systems with unknown integration orders," LSE Research Online Documents on Economics 2223, London School of Economics and Political Science, LSE Library.
    37. 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.
    Full references (including those not matched with items 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. Sarno, Lucio & Valente, Giorgio, 2006. "Deviations from purchasing power parity under different exchange rate regimes: Do they revert and, if so, how?," Journal of Banking & Finance, Elsevier, vol. 30(11), pages 3147-3169, November.
    2. 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.
    3. Venus Khim-Sen Liew & Ricky Chee-Jiun Chia & Tai-Hu Ling, 2010. "Long-run validity of purchasing power parity and rank tests for cointegration for Central Asian countries," Applied Economics Letters, Taylor & Francis Journals, vol. 17(11), pages 1073-1077.
    4. Curran, Michael & Velic, Adnan, 2019. "Real exchange rate persistence and country characteristics: A global analysis," Journal of International Money and Finance, Elsevier, vol. 97(C), pages 35-56.
    5. Miguel Carvalho & Paulo Júlio, 2012. "Digging out the PPP hypothesis: an integrated empirical coverage," Empirical Economics, Springer, vol. 42(3), pages 713-744, June.
    6. Ma, Wei & Li, Haiqi & Park, Sung Y., 2017. "Empirical conditional quantile test for purchasing power parity: Evidence from East Asian countries," International Review of Economics & Finance, Elsevier, vol. 49(C), pages 211-222.
    7. Alfred A. Haug & Syed A. Basher, 2003. "Unit Roots, Nonlinear Cointegration and Purchasing Power Parity," Working Papers 2003_1, York University, Department of Economics, revised Jun 2005.
    8. Okimoto, Tatsuyoshi & Shimotsu, Katsumi, 2010. "Decline in the persistence of real exchange rates, but not sufficient for purchasing power parity," Journal of the Japanese and International Economies, Elsevier, vol. 24(3), pages 395-411, September.
    9. Kim, Hyeongwoo & Ryu, Deockhyun, 2015. "A nonparametric study of real exchange rate persistence over a century," International Review of Economics & Finance, Elsevier, vol. 37(C), pages 406-418.
    10. Hwa-Taek Lee & Gawon Yoon, 2013. "Does purchasing power parity hold sometimes? Regime switching in real exchange rates," Applied Economics, Taylor & Francis Journals, vol. 45(16), pages 2279-2294, June.
    11. Jean-Francois Villeneuve & Jagdish Handa, 2006. "Purchasing Power Parity as a long-term memory process: evidence from Canada," Applied Financial Economics, Taylor & Francis Journals, vol. 16(1-2), pages 109-117.
    12. Xie, Zixiong & Chen, Shyh-Wei & Hsieh, Chun-Kuei, 2021. "Facing up to the polysemy of purchasing power parity: New international evidence," Economic Modelling, Elsevier, vol. 98(C), pages 247-265.
    13. Aloy, Marcel & Boutahar, Mohamed & Gente, Karine & Péguin-Feissolle, Anne, 2011. "Purchasing power parity and the long memory properties of real exchange rates: Does one size fit all?," Economic Modelling, Elsevier, vol. 28(3), pages 1279-1290, May.
    14. Alfred Haug & Syed Basher, 2011. "Linear or nonlinear cointegration in the purchasing power parity relationship?," Applied Economics, Taylor & Francis Journals, vol. 43(2), pages 185-196.
    15. Tsangyao Chang & Yang-Cheng Lu & D. P. Tang & Wen-Chi Liu, 2011. "Long-run purchasing power parity with asymmetric adjustment: further evidence from African countries," Applied Economics, Taylor & Francis Journals, vol. 43(2), pages 231-242.
    16. Smallwood, Aaron D., 2008. "Measuring the persistence of deviations from purchasing power parity with a fractionally integrated STAR model," Journal of International Money and Finance, Elsevier, vol. 27(7), pages 1161-1176, November.
    17. Tsangyao Chang & Wen-Chi Liu, 2010. "Long-run purchasing power parity with asymmetric adjustment: evidence from nine major oil-exporting countries," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 15(3), pages 263-274.
    18. Ahmad, Yamin & Lo, Ming Chien & Mykhaylova, Olena, 2013. "Volatility and persistence of simulated DSGE real exchange rates," Economics Letters, Elsevier, vol. 119(1), pages 38-41.
    19. Gawon Yoon, 2010. "On the performance of a nonparametric measure of convergence towards purchasing power parity in the presence of linearity," Applied Economics Letters, Taylor & Francis Journals, vol. 17(14), pages 1389-1396.
    20. 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.

    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:42:y:2010:i:11:p:1377-1386. 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.