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Detecting Mean Reversion in Real Exchange Rates from a Multiple Regime STAR Model

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  • Frédérique Bec

    ()
    (CREST - Centre de Recherche en Économie et Statistique - INSEE - École Nationale de la Statistique et de l'Administration Économique, THEMA - Théorie économique, modélisation et applications - CNRS : UMR8184 - Université de Cergy Pontoise)

  • Mélika Bensalem

    (CEE - Centre d'Etudes pour l'Emploi - Centre d'Etudes pour l'Emploi)

  • Marine Carrasco

    (CIREQ - Centre interuniversitaire de recherche en économie quantitative - Université de Montréal)

Abstract

Recent studies on general equilibrium models with transaction costs show that the dynamics of the real exchange rate are necessarily nonlinear. Our contribution to the literature on nonlinear price adjustment mechanisms is threefold. First, we model the real exchange rate by a Multi-Regime Logistic Smooth Transition AutoRegression (MR-LSTAR), allowing for both ESTAR-type and SETAR-type dynamics. This choice is motivated by the fact that even the theoretical models, which predict a smooth behavior for the real exchange rate, do not rule out the possibility of a discontinuous adjustment as a limit case. Second, we propose two classes of unit-root tests against this MR- LSTAR alternative, based respectively on the likelihood and on an auxiliary model. Their asymptotic distributions are derived analytically. Third, when applied to 28 bilateral real exchange rates, our tests reject the null hypothesis of a unit root for eleven series bringing evidence in favor of the purchasing power parity.

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Bibliographic Info

Paper provided by HAL in its series Post-Print with number hal-00685810.

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Date of creation: 31 Dec 2010
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Publication status: Published, Annales d'Economie et Statistiques, 2010, 99/100, 395
Handle: RePEc:hal:journl:hal-00685810

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Keywords: Half-life; purchasing power parity; mixing conditions; smooth transition autoregressive model; unit-root test; real exchange rate;

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References

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Citations

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Cited by:
  1. repec:hal:cesptp:halshs-00659158 is not listed on IDEAS
  2. Cerrato, Mario & Kim, Hyunsok & MacDonald, Ronald, 2009. "3-Regime symmetric STAR modeling and exchange rate reversion," SIRE Discussion Papers 2009-07, Scottish Institute for Research in Economics (SIRE).
  3. Cho, Dooyeon & Doblas-Madrid, Antonio, 2014. "Trade intensity and purchasing power parity," Journal of International Economics, Elsevier, vol. 93(1), pages 194-209.
  4. Joon Y. Park & Mototsugu Shintani, 2005. "Testing for a Unit Root against Transitional Autoregressive Models," Vanderbilt University Department of Economics Working Papers 05010, Vanderbilt University Department of Economics.
  5. Addo, Peter Martey & Billio, Monica & Guégan, Dominique, 2014. "The univariate MT-STAR model and a new linearity and unit root test procedure," Computational Statistics & Data Analysis, Elsevier, vol. 76(C), pages 4-19.
  6. Shintani, Mototsugu & Terada-Hagiwara, Akiko & Yabu, Tomoyoshi, 2013. "Exchange rate pass-through and inflation: A nonlinear time series analysis," Journal of International Money and Finance, Elsevier, vol. 32(C), pages 512-527.
  7. Stephen Norman, 2009. "Testing for a unit root against ESTAR nonlinearity with a delay parameter greater than one," Economics Bulletin, AccessEcon, vol. 29(3), pages 2152-2173.
  8. Peter Martey Addo & Monica Billio & Dominique Guegan, 2011. "A New Modelling Test: The Univariate MT-STAR Model," Documents de travail du Centre d'Economie de la Sorbonne 11083r, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne, revised Aug 2013.
  9. Mario Cerrato & Hyunsok Kim & Ronald MacDonald, 2009. "Technical Appendix-3-Regime asymmetric STAR modeling and exchange rate reversion," Working Papers 2009_26, Business School - Economics, University of Glasgow.
  10. repec:van:wpaper:vuecon-sub-12-00015 is not listed on IDEAS
  11. Ming Chien Lo & James Morley, 2013. "Bayesian Analysis of Nonlinear Exchange Rate Dynamics and the Purchasing Power Parity Persistence Puzzle," Discussion Papers 2013-05, School of Economics, The University of New South Wales.
  12. Norman, Stephen & Phillips, Kerk L., 2009. "What is the Shape of Real Exchange Rate Nonlinearity?," MPRA Paper 23504, University Library of Munich, Germany.
  13. Kim, Bong-Han & Min, Hong-Ghi & Moh, Young-Kyu, 2010. "Nonlinear dynamics in exchange rate deviations from the monetary fundamentals: An empirical study," Economic Modelling, Elsevier, vol. 27(5), pages 1167-1177, September.
  14. 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.
  15. Peter Martey Addo & Monica Billio & Dominique Guegan, 2011. "A test for a new modelling: The Univariate MT-STAR Model," Documents de travail du Centre d'Economie de la Sorbonne 11083, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  16. Zhang, Lingxiang, 2013. "Modeling China's inflation dynamics: An MRSTAR approach," Economic Modelling, Elsevier, vol. 31(C), pages 440-446.
  17. repec:van:wpaper:1207 is not listed on IDEAS
  18. 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.

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