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Below the zero lower bound: a shadow-rate term structure model for the euro area

Author

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  • Lemke, Wolfgang
  • Vladu, Andreea Liliana

Abstract

We propose a shadow-rate term structure model for the euro area yield curve from 1999 to mid-2015, when bond yields had turned negative at various maturities. Yields in the model are constrained by a lower bound, but - as a special feature of our specification - the bound is allowed to change over time. We estimate that it has first ranged marginally above zero, but has decreased to -11 bps in September 2014. We derive the impact of a changing lower bound on the yield curve and interpret the impact of the September 2014 ECB rate cut from this perspective. Our model matches survey forecasts of short rates and the decline in yield volatility during the low-rate period better than a benchmark affine model. We estimate that since mid-2012 the horizon when short rates are expected to exceed 25 bps again has ranged between 18 and 62 months. JEL Classification: C32, E43, E52

Suggested Citation

  • Lemke, Wolfgang & Vladu, Andreea Liliana, 2017. "Below the zero lower bound: a shadow-rate term structure model for the euro area," Working Paper Series 1991, European Central Bank.
    • Handle: RePEc:ecb:ecbwps:20171991
    Note: 1085812
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    References listed on IDEAS

    as
    1. Jens H. E. Christensen & Glenn D. Rudebusch, 2016. "Modeling Yields at the Zero Lower Bound: Are Shadow Rates the Solution?," Advances in Econometrics, in: Dynamic Factor Models, volume 35, pages 75-125, Emerald Group Publishing Limited.
    2. Andrea Carriero & Sarah Mouabbi & Elisabetta Vangelista, 2018. "UK term structure decompositions at the zero lower bound," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 33(5), pages 643-661, August.
    3. Sébastien Fries & Jean‐Stéphane Mésonnier & Sarah Mouabbi & Jean‐Paul Renne, 2018. "National natural rates of interest and the single monetary policy in the euro area," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 33(6), pages 763-779, September.
    4. Scott Joslin & Kenneth J. Singleton & Haoxiang Zhu, 2011. "A New Perspective on Gaussian Dynamic Term Structure Models," The Review of Financial Studies, Society for Financial Studies, vol. 24(3), pages 926-970.
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    7. Michael D. Bauer & Glenn D. Rudebusch & Jing Cynthia Wu, 2012. "Correcting Estimation Bias in Dynamic Term Structure Models," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 30(3), pages 454-467, April.
    8. Andrea Carriero & Sarah Mouabbi & Elisabetta Vangelista, 2018. "UK term structure decompositions at the zero lower bound," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 33(5), pages 643-661, August.
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    11. Jens H. E. Christensen & Glenn D. Rudebusch, 2015. "Estimating Shadow-Rate Term Structure Models with Near-Zero Yields," Journal of Financial Econometrics, Oxford University Press, vol. 13(2), pages 226-259.
    12. Hibiki Ichiue & Yoichi Ueno, 2007. "Equilibrium Interest Rate and the Yield Curve in a Low Interest Rate Environment," Bank of Japan Working Paper Series 07-E-18, Bank of Japan.
    13. Andreasen, Martin M & Meldrum, Andrew, 2015. "Dynamic term structure models: the best way to enforce the zero lower bound in the United States," Bank of England working papers 550, Bank of England.
    14. Hibiki Ichiue & Yoichi Ueno, 2006. "Monetary Policy and the Yield Curve at Zero Interest: The Macro-Finance Model of Interest Rates as Options," Bank of Japan Working Paper Series 06-E-16, Bank of Japan.
    15. Michael D. Bauer & Glenn D. Rudebusch, 2016. "Monetary Policy Expectations at the Zero Lower Bound," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 48(7), pages 1439-1465, October.
    16. Michael Johannes & Lars A. Lochstoer & Yiqun Mou, 2016. "Learning about Consumption Dynamics," Journal of Finance, American Finance Association, vol. 71(2), pages 551-600, April.
    17. Milan Damjanović & Igor Masten, 2016. "Shadow short rate and monetary policy in the Euro area," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 43(2), pages 279-298, May.
    18. Andreasen, Martin M & Meldrum, Andrew, 2015. "Market beliefs about the UK monetary policy life-off horizon: a no-arbitrage shadow rate term structure model approach," Bank of England working papers 541, Bank of England.
    19. Hibiki Ichiue & Yoichi Ueno, 2013. "Estimating Term Premia at the Zero Bound: An Analysis of Japanese, US, and UK Yields," Bank of Japan Working Paper Series 13-E-8, Bank of Japan.
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    23. repec:zbw:bofrdp:2016_019 is not listed on IDEAS
    24. 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.
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    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    lower bound; monetary policy expectations; nonlinear state space model; term structure of interest rates;
    All these keywords.

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

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