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What do we know about real exchange rate non-linearities?

  • Robinson Kruse

    ()

    (Aarhus University and CREATES)

  • Michael Frömmel

    (Ghent University)

  • Lukas Menkhoff

    (Leibniz University Hannover)

  • Philipp Sibbertsen

    (Leibniz University Hannover)

This research points to the serious problem of potentially misspecified alternative hypotheses when testing for unit roots in real exchange rates. We apply a popular unit root test against nonlinear ESTAR and develop a Markov Switching unit root test. The empirical power of these tests against correctly and misspecified non-linear alternatives is analyzed by means of a Monte Carlo study. The chosen parametrization is obtained by real-life exchange rates. The test against ESTAR has low power against all alternatives whereas the proposed unit root test against a Markov Switching autoregressive model performs clearly better. An empirical application of these tests suggests that real exchange rates may indeed be explained by Markov-Switching dynamics.

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Paper provided by School of Economics and Management, University of Aarhus in its series CREATES Research Papers with number 2009-50.

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Length: 25
Date of creation: 28 May 2009
Date of revision:
Handle: RePEc:aah:create:2009-50
Contact details of provider: Web page: http://www.econ.au.dk/afn/

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  2. Francq, C. & Zakoian, J. -M., 2001. "Stationarity of multivariate Markov-switching ARMA models," Journal of Econometrics, Elsevier, vol. 102(2), pages 339-364, June.
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  8. 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.
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  10. 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.
  11. 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.
  12. Sarantis, Nicholas, 1999. "Modeling non-linearities in real effective exchange rates," Journal of International Money and Finance, Elsevier, vol. 18(1), pages 27-45, January.
  13. Kanas, Angelos, 2006. "Purchasing Power Parity and Markov Regime Switching," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(6), pages 1669-1687, September.
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  15. Garcia, Rene, 1998. "Asymptotic Null Distribution of the Likelihood Ratio Test in Markov Switching Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(3), pages 763-88, August.
  16. Yin-wong Cheung & Ulf G. Erlandsson, 2005. "Exchange Rates and Markov Switching Dynamics," Working Papers 052005, Hong Kong Institute for Monetary Research.
  17. De Grauwe, Paul & Grimaldi, Marianna, 2005. "Heterogeneity of agents, transactions costs and the exchange rate," Journal of Economic Dynamics and Control, Elsevier, vol. 29(4), pages 691-719, April.
  18. Lee, Tae-Hwy & White, Halbert & Granger, Clive W. J., 1993. "Testing for neglected nonlinearity in time series models : A comparison of neural network methods and alternative tests," Journal of Econometrics, Elsevier, vol. 56(3), pages 269-290, April.
  19. 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.
  20. Mehmet Caner & Bruce E. Hansen, 2001. "Threshold Autoregression with a Unit Root," Econometrica, Econometric Society, vol. 69(6), pages 1555-1596, November.
  21. Hansen, Bruce E, 1996. "Inference When a Nuisance Parameter Is Not Identified under the Null Hypothesis," Econometrica, Econometric Society, vol. 64(2), pages 413-30, March.
  22. Kanas, Angelos & Genius, Margarita, 2005. "Regime (non)stationarity in the US/UK real exchange rate," Economics Letters, Elsevier, vol. 87(3), pages 407-413, June.
  23. Kilian, Lutz & Ohanian, Lee E., 2002. "Unit Roots, Trend Breaks, And Transitory Dynamics: A Macroeconomic Perspective," Macroeconomic Dynamics, Cambridge University Press, vol. 6(05), pages 614-632, November.
  24. Zacharias Psaradakis & Martin Sola & Fabio Spagnolo, 2004. "On Markov error-correction models, with an application to stock prices and dividends," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 19(1), pages 69-88.
  25. James D. Hamilton & Baldev Raj, 2002. "New directions in business cycle research and financial analysis," Empirical Economics, Springer, vol. 27(2), pages 149-162.
  26. 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.
  27. 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.
  28. 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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