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What do we know about real exchange rate nonlinearities?

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  • R. KRUSE
  • M. FRÖMMEL

    ()

  • L. MENKHOFF
  • P. SIBBERTSEN

Abstract

Nonlinear modeling of adjustments to purchasing power parity has recently gained much attention. However, a huge body of the empirical literature applies ES- TAR models and neglects the existence of other competing nonlinear models. Among these, the Markov Switching AR model has a strong substantiation in international finance. Our contribution to the literature is five-fold: First, we compare ESTAR and MSAR models from a unit root perspective. To this end, we propose a new unit root test against MSAR as the second contribution. Thirdly, we study the case of misspeci- fied alternatives in a Monte Carlo setup with real world parameter constellations. The ESTAR unit root test is not indicative, while the MSAR unit test is robust. Fourthly, we consider the case of correctly specified alternatives and observe low power of the ESTAR but not for the MSAR unit root test. Fifthly, an empirical application to real exchange rates suggests that they may indeed be explained by Markov Switching dy- namics rather than ESTAR.

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Bibliographic Info

Paper provided by Ghent University, Faculty of Economics and Business Administration in its series Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium with number 10/667.

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Length: 19 pages
Date of creation: Sep 2010
Date of revision:
Handle: RePEc:rug:rugwps:10/667

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Keywords: Real exchange rates ; unit root test ; ESTAR ; Markov Switching ; PPP;

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References

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  1. Kenneth Rogoff, 1996. "The Purchasing Power Parity Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 647-668, June.
  2. Hall, Stephen & Psaradakis, Zacharias & Sola, Martin, 1997. "Switching error-correction models of house prices in the United Kingdom," Economic Modelling, Elsevier, vol. 14(4), pages 517-527, 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 1015-42, November.
  4. Kilian, Lutz & Taylor, Mark P, 2001. "Why is it so Difficult to Beat the Random Walk Forecast of Exchange Rates?," CEPR Discussion Papers 3024, C.E.P.R. Discussion Papers.
  5. Engel, Charles & Hamilton, James D, 1990. "Long Swings in the Dollar: Are They in the Data and Do Markets Know It?," American Economic Review, American Economic Association, vol. 80(4), pages 689-713, September.
  6. Robinson Kruse, 2011. "A new unit root test against ESTAR based on a class of modified statistics," Statistical Papers, Springer, vol. 52(1), pages 71-85, February.
  7. René Garcia, 1995. "Asymptotic Null Distribution of the Likelihood Ratio Test in Markov Switching Models," CIRANO Working Papers 95s-07, CIRANO.
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  16. Christian Francq & Jean-Michel Zakoïan, 2000. "Stationarity of Multivariate Markov-Switching ARMA Models," Working Papers 2000-32, Centre de Recherche en Economie et Statistique.
  17. 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.
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  22. 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.
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Citations

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Cited by:
  1. Niels Haldrup & Robinson Kruse & Timo Teräsvirta & Rasmus T. Varneskov, 2012. "Unit roots, nonlinearities and structural breaks," CREATES Research Papers 2012-14, School of Economics and Management, University of Aarhus.
  2. 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.
  3. Kaufmann, Hendrik & Kruse, Robinson & Sibbertsen, Philipp, 2012. "On tests for linearity against STAR models with deterministic trends," Diskussionspapiere der Wirtschaftswissenschaftlichen Fakultät der Leibniz Universität Hannover dp-492, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
  4. Beckmann, Joscha, 2013. "Nonlinear adjustment, purchasing power parity and the role of nominal exchange rates and prices," The North American Journal of Economics and Finance, Elsevier, vol. 24(C), pages 176-190.

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