IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/62335.html
   My bibliography  Save this paper

Structural Break, Nonlinearity, and Asymmetry: A re-examination of PPP proposition

Author

Listed:
  • Omay, Tolga
  • Hasanov, Mubariz
  • Emirmahmutoglu, Furkan

Abstract

In this study, we propose a new unit root test procedure that allows for both gradual structural break and asymmetric nonlinear adjustment towards the equilibrium level. Small-sample properties of the new test are examined through Monte-Carlo simulations. The simulation results suggest that the new test has satisfactory size and power properties. We then apply this new test along with other unit root tests to examine stationarity properties of real exchange rate series of the sample countries. Our test rejects the null of unit root in more cases when compared to alternative tests. Overall, we find that the PPP proposition holds in majority of the European countries examined in this paper.

Suggested Citation

  • Omay, Tolga & Hasanov, Mubariz & Emirmahmutoglu, Furkan, 2014. "Structural Break, Nonlinearity, and Asymmetry: A re-examination of PPP proposition," MPRA Paper 62335, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:62335
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/62335/1/MPRA_paper_62335.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Kenneth Rogoff, 1996. "The Purchasing Power Parity Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 647-668, June.
    2. Kapetanios, George & Shin, Yongcheol & Snell, Andy, 2003. "Testing for a unit root in the nonlinear STAR framework," Journal of Econometrics, Elsevier, vol. 112(2), pages 359-379, February.
    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. Sollis, Robert, 2009. "A simple unit root test against asymmetric STAR nonlinearity with an application to real exchange rates in Nordic countries," Economic Modelling, Elsevier, vol. 26(1), pages 118-125, January.
    5. Robert Sollis, 2005. "Evidence on purchasing power parity from univariate models: the case of smooth transition trend-stationarity," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(1), pages 79-98.
    6. 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.
    7. Lundbergh, Stefan & Terasvirta, Timo & van Dijk, Dick, 2003. "Time-Varying Smooth Transition Autoregressive Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 21(1), pages 104-121, January.
    8. Christopoulos, Dimitris K. & León-Ledesma, Miguel A., 2010. "Smooth breaks and non-linear mean reversion: Post-Bretton Woods real exchange rates," Journal of International Money and Finance, Elsevier, vol. 29(6), pages 1076-1093, October.
    9. Corbae, Dean & Ouliaris, Sam, 1988. "Cointegration and Tests of Purchasing Power Parity," The Review of Economics and Statistics, MIT Press, vol. 70(3), pages 508-511, August.
    10. Cuddington, John T. & Liang, Hong, 2000. "Purchasing power parity over two centuries?," Journal of International Money and Finance, Elsevier, vol. 19(5), pages 753-757, October.
    11. Ms. Nancy P. Marion & Mr. Robert P Flood, 1998. "Perspectiveson the Recent Currency Crisis Literature," IMF Working Papers 1998/130, International Monetary Fund.
    12. repec:hal:journl:peer-00732535 is not listed on IDEAS
    13. Flood, Robert & Marion, Nancy, 1999. "Perspectives on the Recent Currency Crisis Literature," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 4(1), pages 1-26, January.
    14. Fisher, Eric O'N & Park, Joon Y, 1991. "Testing Purchasing Power Parity under the Null Hypothesis of Co-integration," Economic Journal, Royal Economic Society, vol. 101(409), pages 1476-1484, November.
    15. 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.
    16. Hegwood, Natalie D & Papell, David H, 1998. "Quasi Purchasing Power Parity," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 3(4), pages 279-289, October.
    17. Patrick Sevestre & Laszlo Matyas, 2008. "The Econometrics of Panel Data," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00279977, HAL.
    18. Dornbusch, Rudiger, 1976. "Expectations and Exchange Rate Dynamics," Journal of Political Economy, University of Chicago Press, vol. 84(6), pages 1161-1176, December.
    19. Koop, Gary & Potter, Simon, 2010. "A flexible approach to parametric inference in nonlinear and time varying time series models," Journal of Econometrics, Elsevier, vol. 159(1), pages 134-150, November.
    20. Taylor, Mark P. & Sarno, Lucio, 1998. "The behavior of real exchange rates during the post-Bretton Woods period," Journal of International Economics, Elsevier, vol. 46(2), pages 281-312, December.
    21. Taylor, Mark P. & Allen, Helen, 1992. "The use of technical analysis in the foreign exchange market," Journal of International Money and Finance, Elsevier, vol. 11(3), pages 304-314, June.
    22. Tolga Omay & Dilem Yildirim, 2014. "Nonlinearity and Smooth Breaks in Unit Root Testing," Econometrics Letters, Bilimsel Mektuplar Organizasyonu (Scientific letters), vol. 1(1), pages 1-9.
    23. Frankel, Jeffrey A. & Rose, Andrew K., 1996. "A panel project on purchasing power parity: Mean reversion within and between countries," Journal of International Economics, Elsevier, vol. 40(1-2), pages 209-224, February.
    24. Mark P. Taylor, 2003. "Purchasing Power Parity," Review of International Economics, Wiley Blackwell, vol. 11(3), pages 436-452, August.
    25. Enders, Walter, 1989. "Unit roots and the real exchange rate before World War I: the case of Britain and the USA," Journal of International Money and Finance, Elsevier, vol. 8(1), pages 59-73, March.
    26. Wu, Yangru, 1996. "Are Real Exchange Rates Nonstationary? Evidence from a Panel-Data Test," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 28(1), pages 54-63, February.
    27. 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.
    28. Abuaf, Niso & Jorion, Philippe, 1990. "Purchasing Power Parity in the Long Run," Journal of Finance, American Finance Association, vol. 45(1), pages 157-174, March.
    29. 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.
    30. 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.
    31. Papell, David H. & Prodan, Ruxandra, 2006. "Additional Evidence of Long-Run Purchasing Power Parity with Restricted Structural Change," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(5), pages 1329-1349, August.
    32. 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.
    33. László Mátyás & Patrick Sevestre (ed.), 2008. "The Econometrics of Panel Data," Advanced Studies in Theoretical and Applied Econometrics, Springer, number 978-3-540-75892-1, July-Dece.
    34. D. A. Peel & I. A. Venetis, 2003. "Purchasing power parity over two centuries: trends and nonlinearity," Applied Economics, Taylor & Francis Journals, vol. 35(5), pages 609-617.
    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. Omay, Tolga, 2012. "The comparison of optimization algorithms on unit root testing with smooth transition," MPRA Paper 42129, University Library of Munich, Germany.
    37. 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.
    38. Lin, Chien-Fu Jeff & Terasvirta, Timo, 1994. "Testing the constancy of regression parameters against continuous structural change," Journal of Econometrics, Elsevier, vol. 62(2), pages 211-228, June.
    39. Ralf Becker & Walter Enders & Junsoo Lee, 2006. "A Stationarity Test in the Presence of an Unknown Number of Smooth Breaks," Journal of Time Series Analysis, Wiley Blackwell, vol. 27(3), pages 381-409, May.
    40. Stephen Leybourne & Paul Newbold & Dimitrios Vougas, 1998. "Unit roots and smooth transitions," Journal of Time Series Analysis, Wiley Blackwell, vol. 19(1), pages 83-97, January.
    41. 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.
    42. Erdinç Telatar & Mübariz Hasanov, 2009. "Purchasing Power Parity in Central and East European Countries," Eastern European Economics, Taylor & Francis Journals, vol. 47(5), pages 25-41, September.
    43. Sollis, Robert, 2008. "U.S. dollar real exchange rates: Nonlinearity revisited," Journal of International Money and Finance, Elsevier, vol. 27(4), pages 516-528, June.
    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. Kassouri, Yacouba, 2022. "Boom-bust cycles in oil consumption: The role of explosive bubbles and asymmetric adjustments," Energy Economics, Elsevier, vol. 111(C).
    2. Furkan Emirmahmutoglu & Tolga Omay & Syed Jawad Hussain Shahzad & Safwan Mohd Nor, 2021. "Smooth Break Detection and De-Trending in Unit Root Testing," Mathematics, MDPI, vol. 9(4), pages 1-25, February.
    3. Aysegul Corakci & Tolga Omay & Mübariz Hasanov, 2022. "Hysteresis and stochastic convergence in Eurozone unemployment rates: evidence from panel unit roots with smooth breaks and asymmetric dynamics," Oeconomia Copernicana, Institute of Economic Research, vol. 13(1), pages 11-55, March.
    4. Zarina Oflaz, 2017. "Structural Break, Nonlinearity and the Hysteresis hypothesis: Evidence from new unit root tests," Econometrics Letters, Bilimsel Mektuplar Organizasyonu (Scientific letters), vol. 4(2), pages 1-16.
    5. Banu Kurtaran, 2015. "Re-examining the PPP Hypothesis via Nonlinearity and Smooth Breaks," Econometrics Letters, Bilimsel Mektuplar Organizasyonu (Scientific letters), vol. 2(1), pages 1-21.
    6. Aysegul Corakcı & Furkan Emirmahmutoglu & Omay Tolga, 2017. "PPP hypothesis and temporary structural breaks," Economics Bulletin, AccessEcon, vol. 37(3), pages 1541-1548.
    7. Diego Romero-Ávila & Tolga Omay, 2023. "Convergence of GHGs emissions in the long-run: aerosol precursors, reactive gases and aerosols—a nonlinear panel approach," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 25(11), pages 12303-12337, November.
    8. Tolga Omay & Muhammad Shahbaz & Chris Stewart, 2021. "Is there really hysteresis in the OECD unemployment rates? New evidence using a Fourier panel unit root test," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 48(4), pages 875-901, November.
    9. Omay, Tolga & Shahbaz, Muhammad & Stewart, Chris, 2021. "Is There Really Hysteresis in OECD Countries’ Unemployment Rates? New Evidence Using a Fourier Panel Unit Root Test," MPRA Paper 107691, University Library of Munich, Germany, revised 10 May 2021.
    10. Esra Hasdemir & Tolga Omay & Zulal S Denaux, 2019. "Testing the Current Account Sustainability for BRICS Countries: Evidence from a Nonlinear Framework," Economics Bulletin, AccessEcon, vol. 39(1), pages 310-320.
    11. Giorgio Canarella & Rangan Gupta & Stephen M. Miller & Tolga Omay, 2019. "Does U.K.’s Real GDP have a Unit Root? Evidence from a Multi-Century Perspective," Working Papers 201926, University of Pretoria, Department of Economics.
    12. Dinçer Afat & Michael Frömmel, 2020. "An Alternative Version of Purchasing Power Parity," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 25(4), pages 511-517, October.
    13. 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.
    14. Shahbaz, Muhammad & Omay, Tolga & Roubaud, David, 2019. "Sharp and Smooth Breaks in Unit Root Testing of Renewable Energy Consumption: The Way Forward," MPRA Paper 92176, University Library of Munich, Germany, revised 11 Feb 2019.

    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. Banu Kurtaran, 2015. "Re-examining the PPP Hypothesis via Nonlinearity and Smooth Breaks," Econometrics Letters, Bilimsel Mektuplar Organizasyonu (Scientific letters), vol. 2(1), pages 1-21.
    2. 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.
    3. Gilles Dufrenot & Laurent Mathieu & Valerie Mignon & Anne Peguin-Feissolle, 2006. "Persistent misalignments of the European exchange rates: some evidence from non-linear cointegration," Applied Economics, Taylor & Francis Journals, vol. 38(2), pages 203-229.
    4. Miguel Carvalho & Paulo Júlio, 2012. "Digging out the PPP hypothesis: an integrated empirical coverage," Empirical Economics, Springer, vol. 42(3), pages 713-744, June.
    5. Emirmahmutoglu, Furkan & Omay, Tolga, 2014. "Reexamining the PPP hypothesis: A nonlinear asymmetric heterogeneous panel unit root test," Economic Modelling, Elsevier, vol. 40(C), pages 184-190.
    6. 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.
    7. Christopoulos, Dimitris K. & León-Ledesma, Miguel A., 2010. "Smooth breaks and non-linear mean reversion: Post-Bretton Woods real exchange rates," Journal of International Money and Finance, Elsevier, vol. 29(6), pages 1076-1093, October.
    8. Franses, Ph.H.B.F. & van Dijk, D.J.C., 2002. "A simple test for PPP among traded goods," Econometric Institute Research Papers EI 2002-02, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    9. Georgios Chortareas & George Kapetanios, 2004. "The Yen Real Exchange Rate may be Stationary after all: Evidence from Non‐linear Unit‐root Tests," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 66(1), pages 113-131, February.
    10. Dilem Yıldırım, 2016. "Empirical Investigation of Purchasing Power Parity for Turkey: Evidence from Recent Nonlinear Unit Root Tests," ERC Working Papers 1604, ERC - Economic Research Center, Middle East Technical University, revised Apr 2016.
    11. 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.
    12. 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.
    13. Param Silvapulle & Titi Kanti Lestari & Jae Kim, 2004. "Nonlinear Modelling of Purchasing Power Parity in Indonesia," Econometric Society 2004 Australasian Meetings 316, Econometric Society.
    14. Zeynel Abidin Ozdemir & Emre Aksoy, 2015. "Are real exchanges rate series really persistent?: evidence from three commonwealth of independent states countries," Applied Economics, Taylor & Francis Journals, vol. 47(40), pages 4299-4309, August.
    15. Lucio Sarno, 2003. "Nonlinear Exchange Rate Models: A Selective Overview," Rivista di Politica Economica, SIPI Spa, vol. 93(4), pages 3-46, July-Augu.
    16. 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.
    17. Wu, Jyh-Lin & Lee, Hsiu-Yun, 2009. "A revisit to the non-linear mean reversion of real exchange rates: Evidence from a series-specific non-linear panel unit-root test," Journal of Macroeconomics, Elsevier, vol. 31(4), pages 591-601, December.
    18. César Calderón & Roberto Duncan, 2003. "Purchasing power parity in an emerging market economy: a long- span study for Chile," Estudios de Economia, University of Chile, Department of Economics, vol. 30(1 Year 20), pages 103-132, June.
    19. McMillan, David G., 2009. "The confusing time-series behaviour of real exchange rates: Are asymmetries important?," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 19(4), pages 692-711, October.
    20. 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.

    More about this item

    Keywords

    Smooth Structural Break; Nonlinear Unit Root test; PPP;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • F41 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Open Economy Macroeconomics

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:pra:mprapa:62335. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.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.