IDEAS home Printed from https://ideas.repec.org/p/hal/cesptp/halshs-00119051.html
   My bibliography  Save this paper

Changements de régime pour la persistance et la dynamique du taux d'intérêt réel américain

Author

Listed:
  • Nicolas Million

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

In this article, we analyze the real interest rate series of the three-month Treasury Bill rates in the frameworkk of a SETAR model (Self Exciting Threshold Auto-Regressive). With the aim of disentangling the non-linearity from the non-stationarity cases, we use very recent threshold integration tests against a stationary but non-linear alternative hypothesis. One innovation consists in the introduction of structural breaks in the deterministic part of the process. This long-run representation therefore allows for a time-varying threshold parameter in the model. Empirical results strongly call for non-linear reversion effects concerning the real interest rate series during the last fifty years. However, the conclusion of the unit root tests are not so straightforward concerning the hypothesis of stationarity: the real interest rate seems to be stationary only for the lower regime, determined by the estimated threshold.

Suggested Citation

  • Nicolas Million, 2006. "Changements de régime pour la persistance et la dynamique du taux d'intérêt réel américain," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00119051, HAL.
  • Handle: RePEc:hal:cesptp:halshs-00119051
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00119051
    as

    Download full text from publisher

    File URL: https://shs.hal.science/halshs-00119051/document
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Balke, Nathan S & Fomby, Thomas B, 1997. "Threshold Cointegration," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(3), pages 627-645, August.
    2. Frédérique Bec & Mélika Ben Salem & Ronald MacDonald, 2006. "Real exchange rates and real interest rates : a nonlinear perspective," Recherches économiques de Louvain, De Boeck Université, vol. 72(2), pages 177-194.
    3. Hansen, Bruce E, 1996. "Inference When a Nuisance Parameter Is Not Identified under the Null Hypothesis," Econometrica, Econometric Society, vol. 64(2), pages 413-430, March.
    4. Richard Clarida & Jordi Galí & Mark Gertler, 2000. "Monetary Policy Rules and Macroeconomic Stability: Evidence and Some Theory," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 115(1), pages 147-180.
    5. Denise R. Osborn & Dong Heon Kim & Marianne Sensier, 2005. "Nonlinearity in the Fed's monetary policy rule," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(5), pages 621-639.
    6. Huizinga, John & Mishkin, Frederic S., 1986. "Monetary policy regime shifts and the unusual behavior of real interest rates," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 24(1), pages 231-274, January.
    7. 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.
    8. Anderson, Heather M, 1997. "Transaction Costs and Non-linear Adjustment towards Equilibrium in the US Treasury Bill Market," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 59(4), pages 465-484, November.
    9. Athanasios Orphanides & David W. Wilcox, 2002. "The Opportunistic Approach to Disinflation," International Finance, Wiley Blackwell, vol. 5(1), pages 47-71.
    10. Enders, Walter & Siklos, Pierre L, 2001. "Cointegration and Threshold Adjustment," Journal of Business & Economic Statistics, American Statistical Association, vol. 19(2), pages 166-176, April.
    11. Saikkonen, Pentti & Lütkepohl, Helmut, 2002. "Testing For A Unit Root In A Time Series With A Level Shift At Unknown Time," Econometric Theory, Cambridge University Press, vol. 18(2), pages 313-348, April.
    12. Dolado Juan & Pedrero Ramón María-Dolores & Ruge-Murcia Francisco J., 2004. "Nonlinear Monetary Policy Rules: Some New Evidence for the U.S," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 8(3), pages 1-34, September.
    13. Garcia, Rene & Perron, Pierre, 1996. "An Analysis of the Real Interest Rate under Regime Shifts," The Review of Economics and Statistics, MIT Press, vol. 78(1), pages 111-125, February.
    14. Sola, Martin & Driffill, John, 1994. "Testing the term structure of interest rates using a stationary vector autoregression with regime switching," Journal of Economic Dynamics and Control, Elsevier, vol. 18(3-4), pages 601-628.
    15. 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 473-481, November.
    16. Evans, Martin D D & Lewis, Karen K, 1995. "Do Expected Shifts in Inflation Affect Estimates of the Long-Run Fisher Relation?," Journal of Finance, American Finance Association, vol. 50(1), pages 225-253, March.
    17. Mehmet Caner & Bruce E. Hansen, 2001. "Threshold Autoregression with a Unit Root," Econometrica, Econometric Society, vol. 69(6), pages 1555-1596, November.
    18. Henry, O.T., 1999. "Changes in Regime and the Long Run Fisher Effect: a Threshold Cointegration Analysis," Department of Economics - Working Papers Series 720, The University of Melbourne.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Nicolas Million, 2010. "Test simultané de la non-stationnarité et de la non-linéarité : une application au taux d’intérêt réel américain," Économie et Prévision, Programme National Persée, vol. 192(1), pages 83-95.
    2. Nicolas Million, 2006. "Changements de régime pour la persistance et la dynamique du taux d'intérêt réel américain," Post-Print halshs-00119051, HAL.
    3. Million, Nicolas, 2004. "Central Bank's interventions and the Fisher hypothesis: a threshold cointegration investigation," Economic Modelling, Elsevier, vol. 21(6), pages 1051-1064, December.
    4. MILLION Nicolas, 2010. "Shifting Regimes in the Relationship between Interest Rates and Inflation: A Threshold Cointegration Approach," EcoMod2003 330700102, EcoMod.
    5. George Kapetanios & Yongcheol Shin, 2006. "Unit root tests in three-regime SETAR models," Econometrics Journal, Royal Economic Society, vol. 9(2), pages 252-278, July.
    6. Zisimos Koustas & Jean-Francois Lamarche, 2005. "Policy-Induced Mean Reversion in the Real Interest Rate?," Working Papers 0503, Brock University, Department of Economics, revised Jul 2005.
    7. Bec, Frederique & Guay, Alain & Guerre, Emmanuel, 2008. "Adaptive consistent unit-root tests based on autoregressive threshold model," Journal of Econometrics, Elsevier, vol. 142(1), pages 94-133, January.
    8. Henry, Olan T. & Shields, Kalvinder, 2004. "Is there a unit root in inflation?," Journal of Macroeconomics, Elsevier, vol. 26(3), pages 481-500, September.
    9. Daiki Maki & Shin-ichi Kitasaka, 2015. "Residual-based tests for cointegration with three-regime TAR adjustment," Empirical Economics, Springer, vol. 48(3), pages 1013-1054, May.
    10. Jing Li, 2017. "System-Equation ADL Test for Threshold Cointegration with an Application to the Term Structure of Interest Rates," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 79(1), pages 1-24, February.
    11. Jing Li & Junsoo Lee, 2010. "ADL tests for threshold cointegration," Journal of Time Series Analysis, Wiley Blackwell, vol. 31(4), pages 241-254, July.
    12. Byeongseon Seo, 2004. "Testing for Nonlinear Adjustment in Smooth Transition Vector Error Correction Models," Econometric Society 2004 Far Eastern Meetings 749, Econometric Society.
    13. Sokbae Lee & Myung Hwan Seo & Youngki Shin, 2017. "Correction," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 112(518), pages 883-883, April.
    14. Nunes, Mauricio & Da Silva, Sergio, 2007. "Rational bubbles in emerging stockmarkets," MPRA Paper 4641, University Library of Munich, Germany.
    15. Chevallier, Julien, 2011. "Evaluating the carbon-macroeconomy relationship: Evidence from threshold vector error-correction and Markov-switching VAR models," Economic Modelling, Elsevier, vol. 28(6), pages 2634-2656.
    16. Frédérique Bec & Mélika Ben Salem, 2004. "L'ajustement à seuil des processus cointégrés. Que sait-on des modèles à trois régimes ?," Revue d'économie politique, Dalloz, vol. 114(4), pages 467-488.
    17. repec:ebl:ecbull:v:3:y:2008:i:46:p:1-18 is not listed on IDEAS
    18. Andrew Ang & Geert Bekaert & Min Wei, 2008. "The Term Structure of Real Rates and Expected Inflation," Journal of Finance, American Finance Association, vol. 63(2), pages 797-849, April.
    19. Jaya Krishnakumar & David Neto, 2012. "Testing Uncovered Interest Rate Parity and Term Structure Using a Three‐regime Threshold Unit Root VECM: An Application to the Swiss ‘Isle’ of Interest Rates," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 74(2), pages 180-202, April.
    20. Yang, Zheng & Tian, Zheng & Yuan, Zixia, 2008. "Small sample improvements in the threshold cointegration test using residual-based moving block bootstrap," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 78(4), pages 507-513.
    21. Jack Strauss & Mark E. Wohar, 2007. "Domestic‐Foreign Interest Rate Differentials: Near Unit Roots and Symmetric Threshold Models," Southern Economic Journal, John Wiley & Sons, vol. 73(3), pages 814-829, January.

    More about this item

    Keywords

    SETAR Model; structural break; real interest rate; switching regime; Modèle SETAR; rupture structurelle; taux d'intérêtt réel; changement de régime;
    All these keywords.

    JEL classification:

    • E4 - Macroeconomics and Monetary Economics - - Money and Interest Rates
    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:cesptp:halshs-00119051. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.