IDEAS home Printed from https://ideas.repec.org/a/bpj/sndecm/v23y2019i5p17n4.html
   My bibliography  Save this article

Threshold models with time-varying threshold values and their application in estimating regime-sensitive Taylor rules

Author

Listed:
  • Zhu Yanli

    (Hohai University, Business School, Institute of Industrial Economics, Nanjing, Jiangsu, China)

  • Chen Haiqiang

    (Xiamen University, The Wang Yanan Institute for Studies in Economics, MOE Key Laboratory of Econometrics, Xiamen, China)

  • Lin Ming

    (Xiamen University, Fujian Provincial Key Laboratory of Statistics, Xiamen, Fujian, China)

Abstract

The literature of time series models with threshold effects makes the assumption of a constant threshold value over different periods. However, this time-homogeneity assumption tends to be too restrictive owing to the fact that the threshold value that triggers regime switching could possibly be time-varying. This study herein proposes a threshold model in which the threshold value is assumed to be a latent variable following an autoregressive (AR) process. The newly proposed model was estimated using a Markov Chain Monte Carlo (MCMC) algorithm under a Bayesian framework. The Monte Carlo simulations are presented to assess the effectiveness of the Bayesian approaches. An illustration of the model was made through an application to a regime-sensitive Taylor rule employing U.S. data.

Suggested Citation

  • Zhu Yanli & Chen Haiqiang & Lin Ming, 2019. "Threshold models with time-varying threshold values and their application in estimating regime-sensitive Taylor rules," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 23(5), pages 1-17, December.
    • Handle: RePEc:bpj:sndecm:v:23:y:2019:i:5:p:17:n:4
    DOI: 10.1515/snde-2017-0114
    as

    Download full text from publisher

    File URL: https://doi.org/10.1515/snde-2017-0114
    Download Restriction: For access to full text, subscription to the journal or payment for the individual article is required.
    File URL: https://libkey.io/10.1515/snde-2017-0114?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Zisimos Koustas & Jean-François Lamarche, 2012. "Instrumental variable estimation of a nonlinear Taylor rule," Empirical Economics, Springer, vol. 42(1), pages 1-20, February.
    2. Seo, Myung Hwan & Linton, Oliver, 2007. "A smoothed least squares estimator for threshold regression models," Journal of Econometrics, Elsevier, vol. 141(2), pages 704-735, December.
    3. 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.
    4. Taylor, John B., 1999. "The robustness and efficiency of monetary policy rules as guidelines for interest rate setting by the European central bank," Journal of Monetary Economics, Elsevier, vol. 43(3), pages 655-679, June.
    5. Michael J. Dueker & Zacharias Psaradakis & Martin Sola & Fabio Spagnolo, 2013. "State-Dependent Threshold Smooth Transition Autoregressive Models," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 75(6), pages 835-854, December.
    6. Nelson, Edward & Nikolov, Kalin, 2003. "UK inflation in the 1970s and 1980s: the role of output gap mismeasurement," Journal of Economics and Business, Elsevier, vol. 55(4), pages 353-370.
    7. Han C. & Carlin B. P., 2001. "Markov Chain Monte Carlo Methods for Computing Bayes Factors: A Comparative Review," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 1122-1132, September.
    8. 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.
    9. Potter, Simon M, 1995. "A Nonlinear Approach to US GNP," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 10(2), pages 109-125, April-Jun.
    10. John Geweke & Nobuhiko Terui, 1993. "Bayesian Threshold Autoregressive Models For Nonlinear Time Series," Journal of Time Series Analysis, Wiley Blackwell, vol. 14(5), pages 441-454, September.
    11. Thomas A. Lubik & Frank Schorfheide, 2004. "Testing for Indeterminacy: An Application to U.S. Monetary Policy," American Economic Review, American Economic Association, vol. 94(1), pages 190-217, March.
    12. Clarida, Richard & Gali, Jordi & Gertler, Mark, 1998. "Monetary policy rules in practice Some international evidence," European Economic Review, Elsevier, vol. 42(6), pages 1033-1067, June.
    13. Durlauf, Steven N & Johnson, Paul A, 1995. "Multiple Regimes and Cross-Country Growth Behaviour," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 10(4), pages 365-384, Oct.-Dec..
    14. Richard H. Clarida & Jordi Gali & Mark Gertler, 1998. "Monetary policy rules in practice," Proceedings, Federal Reserve Bank of San Francisco, issue Mar.
    15. John B. Taylor, 1999. "Monetary Policy Rules," NBER Books, National Bureau of Economic Research, Inc, number tayl99-1, March.
    16. Gonzalo, Jesus & Wolf, Michael, 2005. "Subsampling inference in threshold autoregressive models," Journal of Econometrics, Elsevier, vol. 127(2), pages 201-224, August.
    17. Taylor Mark P. & Davradakis Emmanuel, 2006. "Interest Rate Setting and Inflation Targeting: Evidence of a Nonlinear Taylor Rule for the United Kingdom," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 10(4), pages 1-20, December.
    18. Bruce E. Hansen, 2000. "Sample Splitting and Threshold Estimation," Econometrica, Econometric Society, vol. 68(3), pages 575-604, May.
    19. Kadane, Joseph B. & Lazar, Nicole A., 2004. "Methods and Criteria for Model Selection," Journal of the American Statistical Association, American Statistical Association, vol. 99, pages 279-290, January.
    20. Rudebusch, Glenn D., 2002. "Term structure evidence on interest rate smoothing and monetary policy inertia," Journal of Monetary Economics, Elsevier, vol. 49(6), pages 1161-1187, September.
    21. Kim, Chang-Jin & Nelson, Charles R., 2006. "Estimation of a forward-looking monetary policy rule: A time-varying parameter model using ex post data," Journal of Monetary Economics, Elsevier, vol. 53(8), pages 1949-1966, November.
    22. Gonzalo, Jesus & Pitarakis, Jean-Yves, 2002. "Estimation and model selection based inference in single and multiple threshold models," Journal of Econometrics, Elsevier, vol. 110(2), pages 319-352, October.
    23. Taylor, John B., 1993. "Discretion versus policy rules in practice," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 39(1), pages 195-214, December.
    24. John B. Taylor, 2001. "The Role of the Exchange Rate in Monetary-Policy Rules," American Economic Review, American Economic Association, vol. 91(2), pages 263-267, May.
    25. Jeffery D. Amato & Thomas Laubach, 1999. "The value of interest rate smoothing : how the private sector helps the Federal Reserve," Economic Review, Federal Reserve Bank of Kansas City, vol. 84(Q III), pages 47-64.
    26. Chen, Rong & Guo, Re-Jin & Lin, Ming, 2010. "Self-Selectivity in Firm’s Decision to Withdraw IPO: Bayesian Inference for Hazard Models of Bankruptcy With Feedback," Journal of the American Statistical Association, American Statistical Association, vol. 105(492), pages 1297-1309.
    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. Zhu, Yanli & Chen, Haiqiang, 2017. "The asymmetry of U.S. monetary policy: Evidence from a threshold Taylor rule with time-varying threshold values," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 522-535.
    2. Baxa, Jaromír & Horváth, Roman & Vašíček, Bořek, 2013. "Time-varying monetary-policy rules and financial stress: Does financial instability matter for monetary policy?," Journal of Financial Stability, Elsevier, vol. 9(1), pages 117-138.
    3. Shen, Chung-Hua & Lin, Kun-Li & Guo, Na, 2016. "Hawk or dove: Switching regression model for the monetary policy reaction function in China," Pacific-Basin Finance Journal, Elsevier, vol. 36(C), pages 94-111.
    4. Caporale, Guglielmo Maria & Helmi, Mohamad Husam & Çatık, Abdurrahman Nazif & Menla Ali, Faek & Akdeniz, Coşkun, 2018. "Monetary policy rules in emerging countries: Is there an augmented nonlinear taylor rule?," Economic Modelling, Elsevier, vol. 72(C), pages 306-319.
    5. Belke, Ansgar & Potrafke, Niklas, 2012. "Does government ideology matter in monetary policy? A panel data analysis for OECD countries," Journal of International Money and Finance, Elsevier, vol. 31(5), pages 1126-1139.
    6. Andreas Beyer & Vitor Gaspar & Christina Gerberding & Otmar Issing, 2013. "Opting Out of the Great Inflation: German Monetary Policy after the Breakdown of Bretton Woods," NBER Chapters, in: The Great Inflation: The Rebirth of Modern Central Banking, pages 301-346, National Bureau of Economic Research, Inc.
    7. Vašíček, Bořek, 2012. "Is monetary policy in the new EU member states asymmetric?," Economic Systems, Elsevier, vol. 36(2), pages 235-263.
    8. Ahmad, Saad, 2016. "A multiple threshold analysis of the Fed's balancing act during the Great Moderation," Economic Modelling, Elsevier, vol. 55(C), pages 343-358.
    9. Baxa, Jaromír & Horváth, Roman & Vašíček, Bořek, 2014. "How Does Monetary Policy Change? Evidence On Inflation-Targeting Countries," Macroeconomic Dynamics, Cambridge University Press, vol. 18(3), pages 593-630, April.
    10. Ansgar Belke & Thorsten Polleit, 2007. "How the ECB and the US Fed set interest rates," Applied Economics, Taylor & Francis Journals, vol. 39(17), pages 2197-2209.
    11. Christopher Adam & David Cobham & Eric Girardin, 2005. "Monetary Frameworks and Institutional Constraints: UK Monetary Policy Reaction Functions, 1985–2003," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 67(4), pages 497-516, August.
    12. Batini, Nicoletta & Harrison, Richard & Millard, Stephen P., 2003. "Monetary policy rules for an open economy," Journal of Economic Dynamics and Control, Elsevier, vol. 27(11-12), pages 2059-2094, September.
    13. 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.
    14. De Lipsis Vincenzo, 2021. "Dating Structural Changes in UK Monetary Policy," The B.E. Journal of Macroeconomics, De Gruyter, vol. 21(2), pages 509-539, June.
    15. Caglayan, Mustafa & Jehan, Zainab & Mouratidis, Kostas, 2012. "Asymmetric monetary policy rules for open economies: Evidence from four countries," MPRA Paper 37401, University Library of Munich, Germany.
    16. Zisimos Koustas & Jean-François Lamarche, 2012. "Instrumental variable estimation of a nonlinear Taylor rule," Empirical Economics, Springer, vol. 42(1), pages 1-20, February.
    17. Stephan Sauer & Jan‐Egbert Sturm, 2007. "Using Taylor Rules to Understand European Central Bank Monetary Policy," German Economic Review, Verein für Socialpolitik, vol. 8(3), pages 375-398, August.
    18. Christina Anderl & Guglielmo Maria Caporale, 2024. "Time-varying parameters in monetary policy rules: a GMM approach," Journal of Economic Studies, Emerald Group Publishing Limited, vol. 51(9), pages 148-176, January.
    19. Narek Ohanyan & Aleksandr Grigoryan, 2021. "Measuring monetary policy: rules versus discretion," Empirical Economics, Springer, vol. 61(1), pages 35-60, July.
    20. Wouter Botzen, W.J. & Marey, Philip S., 2006. "Does the ECB respond to the stock market?," Serie Research Memoranda 0017, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.

    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:bpj:sndecm:v:23:y:2019:i:5:p:17:n:4. 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: Peter Golla (email available below). General contact details of provider: https://www.degruyter.com .

    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.