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Nonlinear approaches in testing PPP: Evidence from Southern African development community

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  • Zerihun, Mulatu F.
  • Breitenbach, Marthinus C.

Abstract

In this paper two nonlinearity tests are employed: the nonparametric test developed by Brock, Dechert and Scheinkman — known as the BDS test and the Fourier stationarity test. The BDS non-linearity test detects whether the independent and identically distribute (iid) assumption of the time series used in the analysis holds true or not while the Fourier approximation mimics a wide variety of breaks and other types of nonlinearities. Both tests confirm the non-linear nature of real exchange series in the Southern African Development Community (SADC). The result from the Fourier stationary test further provides strong evidence of an optimal currency area (OCA) among the 11 SADC countries included in this study.

Suggested Citation

  • Zerihun, Mulatu F. & Breitenbach, Marthinus C., 2016. "Nonlinear approaches in testing PPP: Evidence from Southern African development community," Economic Modelling, Elsevier, vol. 56(C), pages 162-167.
    • Handle: RePEc:eee:ecmode:v:56:y:2016:i:c:p:162-167
    DOI: 10.1016/j.econmod.2016.04.002
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    1. Dellas, Harris & Tavlas, George S., 2009. "An optimum-currency-area odyssey," Journal of International Money and Finance, Elsevier, vol. 28(7), pages 1117-1137, November.
    2. Delgado, Miguel A & Robinson, Peter M, 1992. "Nonparametric and Semiparametric Methods for Economic Research," Journal of Economic Surveys, Wiley Blackwell, vol. 6(3), pages 201-249.
    3. Razvan Pascalau, 2010. "Unit root tests with smooth breaks: an application to the Nelson-Plosser data set," Applied Economics Letters, Taylor & Francis Journals, vol. 17(6), pages 565-570.
    4. Junsoo Lee & Walter Enders, 2004. "Testing for a unit-root with a nonlinear Fourier function," Econometric Society 2004 Far Eastern Meetings 457, Econometric Society.
    5. M. J. Aziakpono & S. Kleimeier & H. Sander, 2012. "Banking market integration in the SADC countries: evidence from interest rate analyses," Applied Economics, Taylor & Francis Journals, vol. 44(29), pages 3857-3876, October.
    6. 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.
    7. Thabo M. Mokoena & Rangan Gupta & Reneé Van Eyden, 2009. "Testing For Ppp Using Sadc Real Exchange Rates," South African Journal of Economics, Economic Society of South Africa, vol. 77(3), pages 351-362, September.
    8. Virginie Coudert & Cécile Couharde & Valérie Mignon, 2013. "On Currency Misalignments within the Euro Area," Review of International Economics, Wiley Blackwell, vol. 21(1), pages 35-48, February.
    9. Aksoy Yunus & Leon-Ledesma Miguel A., 2008. "Non-Linearities and Unit Roots in G7 Macroeconomic Variables," The B.E. Journal of Macroeconomics, De Gruyter, vol. 8(1), pages 1-44, February.
    10. Arghyrou, Michael G. & Gregoriou, Andros, 2007. "Testing for Purchasing Power Parity correcting for non-normality using the wild bootstrap," Economics Letters, Elsevier, vol. 95(2), pages 285-290, May.
    11. Epstein, Larry G. & Schneider, Martin, 2003. "IID: independently and indistinguishably distributed," Journal of Economic Theory, Elsevier, vol. 113(1), pages 32-50, November.
    12. Coulibaly, Issiaka & Gnimassoun, Blaise, 2013. "Optimality of a monetary union: New evidence from exchange rate misalignments in West Africa," Economic Modelling, Elsevier, vol. 32(C), pages 463-482.
    13. Walter Enders & Junsoo Lee, 2012. "A Unit Root Test Using a Fourier Series to Approximate Smooth Breaks," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 74(4), pages 574-599, August.
    14. Mulatu F. Zerihun & Marthinus C. Breitenbach & Francis Kemegue, 2014. "A Greek Wedding In SADC? Testing For Structural Symmetry Towards SADC Monetary Integration," The African Finance Journal, Africagrowth Institute, vol. 16(2), pages 16-33.
    15. Holmes, Mark J., 2001. "New Evidence on Real Exchange Rate Stationarity and Purchasing Power Parity in Less Developed Countries," Journal of Macroeconomics, Elsevier, vol. 23(4), pages 601-614, October.
    16. Willem H. Buiter, 2010. "Economic, Political and Institutional Prerequisites for Monetary Union Among the Members of the Gulf Cooperation Council," Chapters, in: Ronald MacDonald & Abdulrazak Al Faris (ed.), Currency Union and Exchange Rate Issues, chapter 3, Edward Elgar Publishing.
    17. Paresh Kumar Narayan, 2006. "Are bilateral real exchange rates stationary? Evidence from Lagrange multiplier unit root tests for India," Applied Economics, Taylor & Francis Journals, vol. 38(1), pages 63-70.
    18. 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.
    19. 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.
    20. Adonis Yatchew, 1998. "Nonparametric Regression Techniques in Economics," Journal of Economic Literature, American Economic Association, vol. 36(2), pages 669-721, June.
    21. Su, Jen-Je & Cheung, Adrian (Wai-Kong) & Roca, Eduardo, 2014. "Does Purchasing Power Parity hold? New evidence from wild-bootstrapped nonlinear unit root tests in the presence of heteroskedasticity," Economic Modelling, Elsevier, vol. 36(C), pages 161-171.
    22. Jorge Belaire-Franch & Dulce Contreras, 2002. "How to compute the BDS test: a software comparison," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 17(6), pages 691-699.
    23. Mark P. Taylor, 2003. "Purchasing Power Parity," Review of International Economics, Wiley Blackwell, vol. 11(3), pages 436-452, August.
    24. Arghyrou, Michael G. & Gregoriou, Andros, 2008. "Non-linearity versus non-normality in real exchange rate dynamics," Economics Letters, Elsevier, vol. 100(2), pages 200-203, August.
    25. Sabate, Marcela & Gadea, Maria Dolores & Serrano, Jose Maria, 2003. "PPP and structural breaks. The peseta-sterling rate, 50 years of a floating regime," Journal of International Money and Finance, Elsevier, vol. 22(5), pages 613-627, October.
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    Cited by:

    1. Christian K. Tipoy, 2019. "Real Convergence using TAR Panel Unit Root Tests: An Application to The Southern African Development Community," SPOUDAI Journal of Economics and Business, SPOUDAI Journal of Economics and Business, University of Piraeus, vol. 69(1-2), pages 45-61, January-J.

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    More about this item

    Keywords

    Optimal currency area; Purchasing power parity; Real exchange rate; Fourier; Stationary test;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • F15 - International Economics - - Trade - - - Economic Integration
    • F31 - International Economics - - International Finance - - - Foreign Exchange

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