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On the estimation of the natural yield curve

Author

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  • NAKAJIMA, Jouchi
  • SUDO, Nao
  • HOGEN, Yoshihiko
  • TAKIZUKA, Yasutaka

Abstract

This study discusses the estimation methodology of the natural yield curve, which is an extension of the natural rate of interest defined at a short-term interest rate to that defined for all maturities on a yield curve. To identify information about the latent factors forming the natural rate curve, the original estimation framework proposed by Imakubo et al. (2018), employs the pre-estimated potential growth rate, assuming that a change in the factors depends on a change in the potential growth rate. In contrast, this study examines an alternative approach that specifies that the levels of the factors depend on the potential growth rate. In an empirical analysis with recursive data updating, the differences in the resulting natural yield curve and its updated patterns between the two approaches are investigated.

Suggested Citation

  • NAKAJIMA, Jouchi & SUDO, Nao & HOGEN, Yoshihiko & TAKIZUKA, Yasutaka, 2023. "On the estimation of the natural yield curve," Discussion Paper Series 753, Institute of Economic Research, Hitotsubashi University.
  • Handle: RePEc:hit:hituec:753
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    File URL: https://hermes-ir.lib.hit-u.ac.jp/hermes/ir/re/82037/DP753.pdf
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    References listed on IDEAS

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    1. Mark A. Wynne & Ren Zhang, 2018. "Estimating the natural rate of interest in an open economy," Empirical Economics, Springer, vol. 55(3), pages 1291-1318, November.
    2. Benjamin K. Johannsen & Elmar Mertens, 2021. "A Time‐Series Model of Interest Rates with the Effective Lower Bound," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 53(5), pages 1005-1046, August.
    3. NAKAJIMA, Jouchi, 2023. "Estimating trend inflation in a regime-switching Phillips curve," Discussion Paper Series 750, Institute of Economic Research, Hitotsubashi University.
    4. Holston, Kathryn & Laubach, Thomas & Williams, John C., 2017. "Measuring the natural rate of interest: International trends and determinants," Journal of International Economics, Elsevier, vol. 108(S1), pages 59-75.
    5. Michael T. Kiley, 2020. "What Can the Data Tell Us about the Equilibrium Real Interest Rate?," International Journal of Central Banking, International Journal of Central Banking, vol. 16(3), pages 181-209, June.
    6. Thomas A. Lubik & Christian Matthes, 2015. "Calculating the Natural Rate of Interest: A Comparison of Two Alternative Approaches," Richmond Fed Economic Brief, Federal Reserve Bank of Richmond, issue Oct.
    7. Brand, Claus & Goy, Gavin W & Lemke, Wolfgang, 2020. "Natural rate chimera and bond pricing reality," VfS Annual Conference 2020 (Virtual Conference): Gender Economics 224546, Verein für Socialpolitik / German Economic Association.
    8. Dufrénot, Gilles & Rhouzlane, Meryem & Vaccaro-Grange, Etienne, 2022. "Potential growth and natural yield curve in Japan," Journal of International Money and Finance, Elsevier, vol. 124(C).
    9. Michał Brzoza-Brzezina & Jacek Kotłowski, 2014. "Measuring the natural yield curve," Applied Economics, Taylor & Francis Journals, vol. 46(17), pages 2052-2065, June.
    10. Thomas Laubach & John C. Williams, 2003. "Measuring the Natural Rate of Interest," The Review of Economics and Statistics, MIT Press, vol. 85(4), pages 1063-1070, November.
    11. Kei Imakubo & Haruki Kojima & Jouchi Nakajima, 2018. "The natural yield curve: its concept and measurement," Empirical Economics, Springer, vol. 55(2), pages 551-572, September.
    12. Marco Del Negro & Domenico Giannone & Marc P. Giannoni & Andrea Tambalotti, 2017. "Safety, Liquidity, and the Natural Rate of Interest," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 48(1 (Spring), pages 235-316.
    13. Robert Barsky & Alejandro Justiniano & Leonardo Melosi, 2014. "The Natural Rate of Interest and Its Usefulness for Monetary Policy," American Economic Review, American Economic Association, vol. 104(5), pages 37-43, May.
    14. Nelson, Charles R & Siegel, Andrew F, 1987. "Parsimonious Modeling of Yield Curves," The Journal of Business, University of Chicago Press, vol. 60(4), pages 473-489, October.
    15. 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.
    16. Kaihatsu, Sohei & Nakajima, Jouchi, 2018. "Has trend inflation shifted?: An empirical analysis with an equally-spaced regime-switching model," Economic Analysis and Policy, Elsevier, vol. 59(C), pages 69-83.
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    More about this item

    Keywords

    Natural yield curve; Natural rate of interest; Term structure;
    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
    • E58 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Central Banks and Their Policies

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