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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
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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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  1. 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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  3. Mesonnier, Jean-Stephane & Renne, Jean-Paul, 2007. "A time-varying "natural" rate of interest for the euro area," European Economic Review, Elsevier, vol. 51(7), pages 1768-1784, October.
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  5. Garcia, R. & Perron, P., 1994. "An Analysis of the Real Interest rate Under Regime Shifts," Cahiers de recherche 9428, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
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  7. 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.
  8. F. Bec & M. Ben Salem & R. MacDonald, 1999. "Real exchange rates and real interest rates : A nonlinear perspective," THEMA Working Papers 99-17, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  9. Carrasco, Marine, 2002. "Misspecified Structural Change, Threshold, and Markov-switching models," Journal of Econometrics, Elsevier, vol. 109(2), pages 239-273, August.
  10. 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.
  11. Perron, P., 1989. "Testing For A Unit Root In A Time Series With A Changing Mean," Papers 347, Princeton, Department of Economics - Econometric Research Program.
  12. 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.
  13. 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.
  14. 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.
  15. Athanasios Orphanides & David W. Wilcox, 1996. "The opportunistic approach to disinflation," Finance and Economics Discussion Series 96-24, Board of Governors of the Federal Reserve System (U.S.).
  16. Caporale, Tony & Grier, Kevin B, 2000. "Political Regime Change and the Real Interest Rate," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 32(3), pages 320-34, August.
  17. Hansen, B.E., 1991. "Inference when a Nuisance Parameter is Not Identified Under the Null Hypothesis," RCER Working Papers 296, University of Rochester - Center for Economic Research (RCER).
  18. 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.
  19. 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.
  20. Donald W.K. Andrews & Werner Ploberger, 1992. "Optimal Tests When a Nuisance Parameter Is Present Only Under the Alternative," Cowles Foundation Discussion Papers 1015, Cowles Foundation for Research in Economics, Yale University.
  21. Dolado, Juan J. & María-Dolores, Ramón & Ruge-Murcia, Francisco J., 2002. "Non-Linear Monetary Policy Rules: Some New Evidence for the US," CEPR Discussion Papers 3405, C.E.P.R. Discussion Papers.
  22. Arusha Cooray, 2002. "The Fisher Effect: A Review of the Literature," Research Papers 0206, Macquarie University, Department of Economics.
  23. Fama, Eugene F. & Gibbons, Michael R., 1982. "Inflation, real returns and capital investment," Journal of Monetary Economics, Elsevier, vol. 9(3), pages 297-323.
  24. Mehmet Caner & Bruce E. Hansen, 2001. "Threshold Autoregression with a Unit Root," Econometrica, Econometric Society, vol. 69(6), pages 1555-1596, November.
  25. 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.
  26. Giammarioli, Nicola & Valla, Natacha, 2004. "The natural real interest rate and monetary policy: a review," Journal of Policy Modeling, Elsevier, vol. 26(5), pages 641-660, July.
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