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Evidence on purchasing power parity from univariate models: the case of smooth transition trend-stationarity

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  • Robert Sollis

Abstract

Recent research has found that trend-break unit root tests derived from univariate linear models do not support the hypothesis of long-run purchasing power parity (PPP) for US dollar real exchange rates. In this paper univariate smooth transition models are utilized to develop unit root tests that allow under the alternative hypothesis for stationarity around a gradually changing deterministic trend function. These tests reveal statistically significant evidence against the null hypothesis of a unit root for the real exchange rates of a number of countries against the US dollar. However, restrictions consistent with long-run PPP are rejected for some of the countries for which a rejection of the unit root hypothesis is obtained. Copyright © 2005 John Wiley & Sons, Ltd.
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Suggested Citation

  • Robert Sollis, 2004. "Evidence on purchasing power parity from univariate models: the case of smooth transition trend-stationarity," Money Macro and Finance (MMF) Research Group Conference 2003 91, Money Macro and Finance Research Group.
  • Handle: RePEc:mmf:mmfc03:91
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    1. Terasvirta, T & Anderson, H M, 1992. "Characterizing Nonlinearities in Business Cycles Using Smooth Transition Autoregressive Models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(S), pages 119-136, Suppl. De.
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    6. Leybourne, Stephen J. & Mizen, Paul, 1999. "Understanding the disinflations in Australia, Canada and New Zealand using evidence from smooth transition analysis," Journal of International Money and Finance, Elsevier, vol. 18(5), pages 799-816, October.
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    9. David Harvey & Terence Mills, 2002. "Unit roots and double smooth transitions," Journal of Applied Statistics, Taylor & Francis Journals, vol. 29(5), pages 675-683.
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    11. Bai, Jushan, 1999. "Likelihood ratio tests for multiple structural changes," Journal of Econometrics, Elsevier, vol. 91(2), pages 299-323, August.
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    Cited by:

    1. Mario Cerrato & Hyunsok Kim & Ronald MacDonald, 2013. "Nominal interest rates and stationarity," Review of Quantitative Finance and Accounting, Springer, vol. 40(4), pages 741-745, May.
    2. 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.
    3. Pavlidis, Efthymios G. & Paya, Ivan & Peel, David A., 2015. "Testing for linear and nonlinear Granger causality in the real exchange rate–consumption relation," Economics Letters, Elsevier, vol. 132(C), pages 13-17.
    4. repec:ebl:ecbull:v:3:y:2008:i:27:p:1-8 is not listed on IDEAS
    5. 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.
    6. repec:dug:actaec:y:2017:i:1:p:17-28 is not listed on IDEAS
    7. 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.
    8. Robert Kelm, 2017. "The Purchasing Power Parity Puzzle and Imperfect Knowledge: The Case of the Polish Zloty," Central European Journal of Economic Modelling and Econometrics, CEJEME, vol. 9(1), pages 1-27, March.
    9. Nicolau João, 2011. "Purchasing Power Parity Analyzed from a Continuous-Time Model," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 15(3), pages 1-26, May.
    10. Cerrato, Mario & Kim, Hyunsok & MacDonald, Ronald, 2013. "Equilibrium exchange rate determination and multiple structural changes," Journal of Empirical Finance, Elsevier, vol. 22(C), pages 52-66.
    11. Paraskevi Salamaliki & Ioannis Venetis, 2014. "Smooth transition trends and labor force participation rates in the United States," Empirical Economics, Springer, vol. 46(2), pages 629-652, March.
    12. Mario Cerrato & Hyunsok Kim & Ronald MacDonald, 2008. "3-Regime symmetric STAR modeling and exchange rate reversion," Working Papers 2009_05, Business School - Economics, University of Glasgow, revised Feb 2009.
    13. Sandberg, Rickard, 2016. "Trends, unit roots, structural changes, and time-varying asymmetries in U.S. macroeconomic data: the Stock and Watson data re-examined," Economic Modelling, Elsevier, vol. 52(PB), pages 699-713.
    14. Wu, Jyh-Lin & Hu, Yu-Hau, 2009. "New evidence on nominal exchange rate predictability," Journal of International Money and Finance, Elsevier, vol. 28(6), pages 1045-1063, October.
    15. Grossmann, Axel & McMillan, David G., 2010. "Forecasting exchange rates: Non-linear adjustment and time-varying equilibrium," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 20(4), pages 436-450, October.
    16. Mariam Camarero & Juan Carlos Cuestas & Javier Ordonez, 2008. "Nonlinear trend stationarity of real exchange rates: the case of the Mediterranean countries," International Journal of Banking, Accounting and Finance, Inderscience Enterprises Ltd, vol. 1(1), pages 30-46.
    17. P. S. Sephton, 2010. "Unit roots and purchasing power parity: another kick at the can," Applied Economics, Taylor & Francis Journals, vol. 42(27), pages 3439-3453.
    18. 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.
    19. 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.

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