IDEAS home Printed from https://ideas.repec.org/p/bny/wpaper/0133.html
   My bibliography  Save this paper

A Constrained Dynamic Nelson-Siegel Model for Monetary Policy Analysis

Author

Listed:
  • Jamie L. Cross
  • Aubrey Poon
  • Wenying Yao
  • Dan Zhu

Abstract

The Dynamic Nelson-Siegel (DNS) model implies that the instantaneous bond yield is a linear combination of yield curve’s level and slope factors. However, this constraint is not used in practice because it induces a singularity in the state covariance matrix. We show that this problem can be resolved using Bayesian methods. The key idea is to view the state equation as a prior distribution over missing data to obtain a hyperplane truncated multivariate normal conditional posterior distribution for the latent factors. This distribution can then be reparameterized as a conditional multivariate normal distribution given the constraint. Samples from this distribution can be obtained in a direct and computationally efficient manner, thus bypassing the Kalman filter recursions. The empirical significance of the resulting Yield-Macro Constrained DNS (YM-CDNS) model is demonstrated through both a reduced form analysis of the US Treasury yield curve, and a structural analysis of functional conventional and unconventional monetary policy shocks on the yield curve and the broader macroeconomy.

Suggested Citation

  • Jamie L. Cross & Aubrey Poon & Wenying Yao & Dan Zhu, 2024. "A Constrained Dynamic Nelson-Siegel Model for Monetary Policy Analysis," Working Papers No 06/2024, Centre for Applied Macro- and Petroleum economics (CAMP), BI Norwegian Business School.
    • Handle: RePEc:bny:wpaper:0133
    as

    Download full text from publisher

    File URL: https://hdl.handle.net/11250/3153617
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Koopman, Siem Jan & Mallee, Max I. P. & Van der Wel, Michel, 2010. "Analyzing the Term Structure of Interest Rates Using the Dynamic Nelson–Siegel Model With Time-Varying Parameters," Journal of Business & Economic Statistics, American Statistical Association, vol. 28(3), pages 329-343.
    2. Diebold, Francis X. & Li, Canlin & Yue, Vivian Z., 2008. "Global yield curve dynamics and interactions: A dynamic Nelson-Siegel approach," Journal of Econometrics, Elsevier, vol. 146(2), pages 351-363, October.
    3. Anderson, Heather M. & Vahid, Farshid, 2001. "Predicting The Probability Of A Recession With Nonlinear Autoregressive Leading-Indicator Models," Macroeconomic Dynamics, Cambridge University Press, vol. 5(4), pages 482-505, September.
    4. Atsushi Inoue & Barbara Rossi, 2021. "A new approach to measuring economic policy shocks, with an application to conventional and unconventional monetary policy," Quantitative Economics, Econometric Society, vol. 12(4), pages 1085-1138, November.
    5. Jing Cynthia Wu & Fan Dora Xia, 2016. "Measuring the Macroeconomic Impact of Monetary Policy at the Zero Lower Bound," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 48(2-3), pages 253-291, March.
    6. Chen, Ying & Niu, Linlin, 2014. "Adaptive dynamic Nelson–Siegel term structure model with applications," Journal of Econometrics, Elsevier, vol. 180(1), pages 98-115.
    7. Byrne, Joseph P. & Cao, Shuo & Korobilis, Dimitris, 2017. "Forecasting the term structure of government bond yields in unstable environments," Journal of Empirical Finance, Elsevier, vol. 44(C), pages 209-225.
    8. Kim, Don H. & Singleton, Kenneth J., 2012. "Term structure models and the zero bound: An empirical investigation of Japanese yields," Journal of Econometrics, Elsevier, vol. 170(1), pages 32-49.
    9. Diebold, Francis X. & Rudebusch, Glenn D. & Borag[caron]an Aruoba, S., 2006. "The macroeconomy and the yield curve: a dynamic latent factor approach," Journal of Econometrics, Elsevier, vol. 131(1-2), pages 309-338.
    10. Fernandes, Marcelo & Vieira, Fausto, 2019. "A dynamic Nelson–Siegel model with forward-looking macroeconomic factors for the yield curve in the US," Journal of Economic Dynamics and Control, Elsevier, vol. 106(C), pages 1-1.
    11. Glenn D. Rudebusch, 2018. "A Review of the Fed’s Unconventional Monetary Policy," FRBSF Economic Letter, Federal Reserve Bank of San Francisco.
    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. Atsushi Inoue & Barbara Rossi, 2021. "A new approach to measuring economic policy shocks, with an application to conventional and unconventional monetary policy," Quantitative Economics, Econometric Society, vol. 12(4), pages 1085-1138, November.
    2. Wali ULLAH & Khadija Malik BARI, 2018. "The Term Structure of Government Bond Yields in an Emerging Market," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(3), pages 5-28, September.
    3. Byrne, Joseph P. & Cao, Shuo & Korobilis, Dimitris, 2015. "Co-Movement, Spillovers and Excess Returns in Global Bond Markets," 2007 Annual Meeting, July 29-August 1, 2007, Portland, Oregon TN 2015-75, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    4. Nyholm, Ken, 2015. "A rotated Dynamic Nelson-Siegel model with macro-financial applications," Working Paper Series 1851, European Central Bank.
    5. Joseph P. Byrne & Shuo Cao & Dimitris Korobilis, 2015. "Co-Movement, Spillovers and Excess Returns in Global Bond Markets?," Working Papers 2015_12, Business School - Economics, University of Glasgow.
    6. Takamizawa, Hideyuki, 2022. "How arbitrage-free is the Nelson–Siegel model under stochastic volatility?," International Review of Economics & Finance, Elsevier, vol. 79(C), pages 205-223.
    7. Han, Yang & Jiao, Anqi & Ma, Jun, 2021. "The predictive power of Nelson–Siegel factor loadings for the real economy," Journal of Empirical Finance, Elsevier, vol. 64(C), pages 95-127.
    8. Massimo Guidolin & Manuela Pedio, 2019. "Forecasting and Trading Monetary Policy Effects on the Riskless Yield Curve with Regime Switching Nelson†Siegel Models," Working Papers 639, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    9. Shigenori Shiratsuka, 2025. "Monetary Policy Effectiveness under the Ultra‐Low Interest Rate Environment: Evidence from Yield Curve Dynamics in Japan," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 87(1), pages 98-121, February.
    10. Tsz-Kin Chung & Cho-Hoi Hui & Ka-Fai Li, 2015. "Term-Structure Modelling at the Zero Lower Bound: Implications for Estimating the Term Premium," Working Papers 212015, Hong Kong Institute for Monetary Research.
    11. Cross, Jamie L. & Hoogerheide, Lennart & Labonne, Paul & van Dijk, Herman K., 2024. "Bayesian mode inference for discrete distributions in economics and finance," Economics Letters, Elsevier, vol. 235(C).
    12. Takamizawa, Hideyuki & 高見澤, 秀幸, 2015. "Impact of No-arbitrage on Interest Rate Dynamics," Working Paper Series G-1-5, Hitotsubashi University Center for Financial Research.
    13. Massimo Guidolin & Manuela Pedio, 2019. "Forecasting and Trading Monetary Policy Switching Nelson-Siegel Models," BAFFI CAREFIN Working Papers 19106, BAFFI CAREFIN, Centre for Applied Research on International Markets Banking Finance and Regulation, Universita' Bocconi, Milano, Italy.
    14. Geert Mesters & Bernd Schwaab & Siem Jan Koopman, 2014. "A Dynamic Yield Curve Model with Stochastic Volatility and Non-Gaussian Interactions: An Empirical Study of Non-standard Monetary Policy in the Euro Area," Tinbergen Institute Discussion Papers 14-071/III, Tinbergen Institute.
    15. Guidolin, Massimo & Pedio, Manuela, 2019. "Forecasting and trading monetary policy effects on the riskless yield curve with regime switching Nelson–Siegel models," Journal of Economic Dynamics and Control, Elsevier, vol. 107(C), pages 1-1.
    16. Chung, Tsz-Kin & Hui, Cho-Hoi & Li, Ka-Fai, 2017. "Term-structure modelling at the zero lower bound: Implications for estimating the forward term premium," Finance Research Letters, Elsevier, vol. 21(C), pages 100-106.
    17. Matteo Iacopini & Aubrey Poon & Luca Rossini & Dan Zhu, 2024. "A Quantile Nelson-Siegel model," Papers 2401.09874, arXiv.org.
    18. Sarah Mouabbi & Jean‐Guillaume Sahuc, 2019. "Evaluating the Macroeconomic Effects of the ECB's Unconventional Monetary Policies," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 51(4), pages 831-858, June.
    19. Evangelos Salachas & Georgios P. Kouretas & Nikiforos T. Laopodis, 2024. "The term structure of interest rates and economic activity: Evidence from the COVID‐19 pandemic," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 43(4), pages 1018-1041, July.
    20. Niels Haldrup & Carsten P. T. Rosenskjold, 2019. "A Parametric Factor Model of the Term Structure of Mortality," Econometrics, MDPI, vol. 7(1), pages 1-22, March.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:bny:wpaper:0133. 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: Helene Olsen (email available below). General contact details of provider: https://edirc.repec.org/data/cambino.html .

    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.