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Test simultané de la non-stationnarité et de la non-linéarité : une application au taux d.intérêt réel américain

  • Million, N.

In this article, we analyze the US short term real interest rate series for the last five decades in the framework of a M-SETAR model (Momentum - Self Exciting Threshold Auto-Regressive). With the aim of disentangling the non-linearity from the non-stationarity cases, we use threshold integration tests against a stationary but non-linear alternative hypothesis. One innovation consists in the introduction of a structural break in the deterministic component of the process. Therefore, our model allows for shifting regimes both in the deterministic part (mean shift) and in the stochastic part (threshold effects). The empirical application concerns the gap between the ex post real interest rate and its natural level which changes after the break date. Our results show some evidence that the real interest gap follows a two-regimes threshold process. Furthermore, the process seems to behave as a martingale in one of the regimes, highlighting the "reactive" characteristics of the monetary policy during these corresponding periods.

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Paper provided by Banque de France in its series Working papers with number 201.

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Length: 25 pages
Date of creation: 2008
Date of revision:
Handle: RePEc:bfr:banfra:201
Contact details of provider: Postal: Banque de France 31 Rue Croix des Petits Champs LABOLOG - 49-1404 75049 PARIS
Web page: http://www.banque-france.fr/

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  4. Thomas Laubach & John C. Williams, 2001. "Measuring the natural rate of interest," Finance and Economics Discussion Series 2001-56, Board of Governors of the Federal Reserve System (U.S.).
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  6. Frédérique BEC & Mélika BEN SALEM & Ronald MACDONALD, 2006. "Real exchange rates and real interest rates : a nonlinear perspective," Discussion Papers (REL - Recherches Economiques de Louvain) 2006024, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  7. 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.
  8. Rapach, David E. & Weber, Christian E., 2004. "Are real interest rates really nonstationary? New evidence from tests with good size and power," Journal of Macroeconomics, Elsevier, vol. 26(3), pages 409-430, September.
  9. Dufrenot, Gilles & Guegan, Dominique & Peguin-Feissolle, Anne, 2005. "Long-memory dynamics in a SETAR model - applications to stock markets," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 15(5), pages 391-406, December.
  10. Carrasco, Marine, 2002. "Misspecified Structural Change, Threshold, and Markov-switching models," Journal of Econometrics, Elsevier, vol. 109(2), pages 239-273, August.
  11. Rose, Andrew Kenan, 1988. " Is the Real Interest Rate Stable?," Journal of Finance, American Finance Association, vol. 43(5), pages 1095-1112, December.
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  15. Andrews, Donald W K & Ploberger, Werner, 1994. "Optimal Tests When a Nuisance Parameter Is Present Only under the Alternative," Econometrica, Econometric Society, vol. 62(6), pages 1383-1414, November.
  16. Martin D.D. Evans & Karen K. Lewis, 1993. "Do Expected Shifts in Inflation Affect Estimates of the Long-Run Fisher Relation?," Working Papers 93-06, New York University, Leonard N. Stern School of Business, Department of Economics.
  17. 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.
  18. Zivot, Eric & Andrews, Donald W K, 1992. "Further Evidence on the Great Crash, the Oil-Price Shock, and the Unit-Root Hypothesis," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 251-70, July.
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  21. Pippenger, Michael K & Goering, Gregory E, 1993. "A Note on the Empirical Power of Unit Root Tests under Threshold Processes," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 55(4), pages 473-81, November.
  22. Jean-Stephane Mesonnier & Jean-Paul Renne, 2004. "A Time Varying Natural Rate of Interest for the Euro Area," Money Macro and Finance (MMF) Research Group Conference 2004 42, Money Macro and Finance Research Group.
  23. Bec Frédérique & Ben Salem Mélika & Collard Fabrice, 2002. "Asymmetries in Monetary Policy Reaction Function: Evidence for U.S. French and German Central Banks," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 6(2), pages 1-22, July.
  24. Arusha Cooray, 2002. "The Fisher Effect: A Review of the Literature," Research Papers 0206, Macquarie University, Department of Economics.
  25. Nelson, Charles R & Schwert, G William, 1977. "Short-Term Interest Rates as Predictors of Inflation: On Testing the Hypothesis That the Real Rate of Interest is Constant," American Economic Review, American Economic Association, vol. 67(3), pages 478-86, June.
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