IDEAS home Printed from https://ideas.repec.org/a/oup/jfinec/v13y2015i2p226-259..html
   My bibliography  Save this article

Estimating Shadow-Rate Term Structure Models with Near-Zero Yields

Author

Listed:
  • Jens H. E. Christensen
  • Glenn D. Rudebusch

Abstract

Standard Gaussian affine dynamic term structure models do not rule out negative nominal interest rates—a conspicuous defect with yields near zero in many countries. Alternative shadow-rate models, which respect the nonlinearity at the zero lower bound, have been rarely used because of the extreme computational burden of their estimation. However, by valuing the call option on negative shadow yields, we provide estimates of a three-factor shadow-rate model of Japanese yields. We validate our option-based results by closely matching them using a simulation-based approach. We also show that the shadow short rate is sensitive to model fit and specification.

Suggested Citation

  • 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.
    • Handle: RePEc:oup:jfinec:v:13:y:2015:i:2:p:226-259.
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1093/jjfinec/nbu010
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

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

    Other versions of this item:

    References listed on IDEAS

    as
    1. Christensen, Jens H.E. & Diebold, Francis X. & Rudebusch, Glenn D., 2011. "The affine arbitrage-free class of Nelson-Siegel term structure models," Journal of Econometrics, Elsevier, vol. 164(1), pages 4-20, September.
    2. Black, Fischer, 1995. "Interest Rates as Options," Journal of Finance, American Finance Association, vol. 50(5), pages 1371-1376, December.
    3. repec:bla:jfinan:v:44:y:1989:i:1:p:205-09 is not listed on IDEAS
    4. 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.
    5. Krippner, Leo, 2013. "Measuring the stance of monetary policy in zero lower bound environments," Economics Letters, Elsevier, vol. 118(1), pages 135-138.
    6. Yoichi Ueno & Naohiko Baba & Yuji Sakurai, 2006. "The Use of the Black Model of Interest Rates as Options for Monitoring the JGB Market Expectations," Bank of Japan Working Paper Series 06-E-15, Bank of Japan.
    7. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    8. Viatcheslav Gorovoi & Vadim Linetsky, 2004. "Black's Model of Interest Rates as Options, Eigenfunction Expansions and Japanese Interest Rates," Mathematical Finance, Wiley Blackwell, vol. 14(1), pages 49-78, January.
    9. Leo Krippner, 2011. "Modifying Gaussian term structure models when interest rates are near the zero lower bound," CAMA Working Papers 2011-36, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    10. Chen, Ren-Raw, 1992. "Exact Solutions for Futures and European Futures Options on Pure Discount Bonds," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 27(1), pages 97-107, March.
    11. 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.
    12. Jens H. E. Christensen & Glenn D. Rudebusch, 2012. "The Response of Interest Rates to US and UK Quantitative Easing," Economic Journal, Royal Economic Society, vol. 122(564), pages 385-414, November.
    13. Jens H. E. Christensen & Jose A. Lopez & Glenn D. Rudebusch, 2010. "Inflation Expectations and Risk Premiums in an Arbitrage-Free Model of Nominal and Real Bond Yields," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 42(s1), pages 143-178, September.
    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. 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.
    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. Christensen, Jens H.E. & Lopez, Jose A. & Rudebusch, Glenn D., 2015. "A probability-based stress test of Federal Reserve assets and income," Journal of Monetary Economics, Elsevier, vol. 73(C), pages 26-43.
    2. 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.
    3. Monfort, Alain & Pegoraro, Fulvio & Renne, Jean-Paul & Roussellet, Guillaume, 2017. "Staying at zero with affine processes: An application to term structure modelling," Journal of Econometrics, Elsevier, vol. 201(2), pages 348-366.
    4. 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.
    5. Leo Krippner, 2013. "A tractable framework for zero lower bound Gaussian term structure models," Reserve Bank of New Zealand Discussion Paper Series DP2013/02, Reserve Bank of New Zealand.
    6. 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.
    7. Leo Krippner, 2014. "Measuring the stance of monetary policy in conventional and unconventional environments," CAMA Working Papers 2014-06, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    8. 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.
    9. Martin M. Andreasen & Andrew Meldrum, 2014. "Dynamic term structure models: The best way to enforce the zero lower bound," CREATES Research Papers 2014-47, Department of Economics and Business Economics, Aarhus University.
    10. Lemke, Wolfgang & Vladu, Andreea, 2015. "A Shadow-Rate Term Structure Model for the Euro Area," VfS Annual Conference 2015 (Muenster): Economic Development - Theory and Policy 113159, Verein für Socialpolitik / German Economic Association.
    11. 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.
    12. Christensen, Jens H.E. & Spiegel, Mark M., 2022. "Monetary reforms and inflation expectations in Japan: Evidence from inflation-indexed bonds," Journal of Econometrics, Elsevier, vol. 231(2), pages 410-431.
    13. Yoichi Ueno, 2017. "Term Structure Models with Negative Interest Rates," IMES Discussion Paper Series 17-E-01, Institute for Monetary and Economic Studies, Bank of Japan.
    14. Istrefi, Klodiana & Mouabbi, Sarah, 2018. "Subjective interest rate uncertainty and the macroeconomy: A cross-country analysis," Journal of International Money and Finance, Elsevier, vol. 88(C), pages 296-313.
    15. Marco J. Lombardi & Feng Zhu, 2018. "A Shadow Policy Rate to Calibrate U.S. Monetary Policy at the Zero Lower Bound," International Journal of Central Banking, International Journal of Central Banking, vol. 14(5), pages 305-346, December.
    16. Zhou, Siwen, 2018. "Measuring the Signaling Effect of the ECB’s Asset Purchase Programme at the Effective Lower Bound," MPRA Paper 87084, University Library of Munich, Germany.
    17. Krippner, Leo, 2013. "Measuring the stance of monetary policy in zero lower bound environments," Economics Letters, Elsevier, vol. 118(1), pages 135-138.
    18. Marcello Pericoli & Marco Taboga, 2015. "Understanding policy rates at the zero lower bound: insights from a Bayesian shadow rate model," Temi di discussione (Economic working papers) 1023, Bank of Italy, Economic Research and International Relations Area.
    19. Christensen, Jens H.E. & Spiegel, Mark M., 2023. "Central bank credibility during COVID-19: Evidence from Japan," Journal of International Money and Finance, Elsevier, vol. 131(C).
    20. Andreasen, Martin M. & Christensen, Jens H.E. & Rudebusch, Glenn D., 2019. "Term Structure Analysis with Big Data: One-Step Estimation Using Bond Prices," Journal of Econometrics, Elsevier, vol. 212(1), pages 26-46.

    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:oup:jfinec:v:13:y:2015:i:2:p:226-259.. 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: Oxford University Press (email available below). General contact details of provider: https://edirc.repec.org/data/sofieea.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.