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Bond risk premiums at the zero lower bound

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  • Andreasen, Martin M.
  • Jørgensen, Kasper
  • Meldrum, Andrew

Abstract

We document that the spread between long- and short-term government bond yields is a stronger predictor of excess bond returns when the U.S. economy is at the zero lower bound (ZLB) than away from this bound. The Gaussian shadow rate model with a linear or quadratic shadow rate is unable to explain this change in return predictability. The same holds for the quadratic term structure model and the autoregressive gamma-zero model that also enforce the ZLB. In contrast, the linear-rational square-root model explains our new empirical finding because the model allows for unspanned stochastic volatility as seen in bond yields.

Suggested Citation

  • Andreasen, Martin M. & Jørgensen, Kasper & Meldrum, Andrew, 2025. "Bond risk premiums at the zero lower bound," Journal of Econometrics, Elsevier, vol. 247(C).
  • Handle: RePEc:eee:econom:v:247:y:2025:i:c:s0304407624002902
    DOI: 10.1016/j.jeconom.2024.105939
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    as
    1. Michael D. Bauer & Glenn D. Rudebusch, 2020. "Interest Rates under Falling Stars," American Economic Review, American Economic Association, vol. 110(5), pages 1316-1354, May.
    2. Ravi Bansal & Ivan Shaliastovich, 2013. "A Long-Run Risks Explanation of Predictability Puzzles in Bond and Currency Markets," The Review of Financial Studies, Society for Financial Studies, vol. 26(1), pages 1-33.
    3. Ang, Andrew & Piazzesi, Monika, 2003. "A no-arbitrage vector autoregression of term structure dynamics with macroeconomic and latent variables," Journal of Monetary Economics, Elsevier, vol. 50(4), pages 745-787, May.
    4. Wei Xiong & Hongjun Yan, 2010. "Heterogeneous Expectations and Bond Markets," The Review of Financial Studies, Society for Financial Studies, vol. 23(4), pages 1433-1466, April.
    5. repec:bla:jfinan:v:44:y:1989:i:2:p:283-305 is not listed on IDEAS
    6. Kim, Don H. & Orphanides, Athanasios, 2012. "Term Structure Estimation with Survey Data on Interest Rate Forecasts," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 47(1), pages 241-272, February.
    7. Andreasen, Martin M. & Meldrum, Andrew, 2019. "A Shadow Rate or a Quadratic Policy Rule? The Best Way to Enforce the Zero Lower Bound in the United States," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 54(5), pages 2261-2292, October.
    8. Kilian,Lutz & Lütkepohl,Helmut, 2018. "Structural Vector Autoregressive Analysis," Cambridge Books, Cambridge University Press, number 9781107196575, Enero-Abr.
    9. Wachter, Jessica A., 2006. "A consumption-based model of the term structure of interest rates," Journal of Financial Economics, Elsevier, vol. 79(2), pages 365-399, February.
    10. Max Kwong & David Leung & Alfred Wong & Jiayue Zhang, 2020. "Interpreting survey-based federal funds rate forecasts: how accurate are they in reflecting market expectations?," International Journal of Monetary Economics and Finance, Inderscience Enterprises Ltd, vol. 13(1), pages 68-88.
    11. 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.
    12. Black, Fischer, 1995. "Interest Rates as Options," Journal of Finance, American Finance Association, vol. 50(5), pages 1371-1376, December.
    13. 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.
    14. Gregory R. Duffee, 2002. "Term Premia and Interest Rate Forecasts in Affine Models," Journal of Finance, American Finance Association, vol. 57(1), pages 405-443, February.
    15. Simon M. Potter & Giorgio Topa & Wilbert van den Klaauv, 2017. "The Advantages of Probabilistic Survey Questions," Review of Economic Analysis, Digital Initiatives at the University of Waterloo Library, vol. 9(1), pages 1-32, June.
    16. Anna Cieslak & Pavol Povala, 2015. "Expected Returns in Treasury Bonds," The Review of Financial Studies, Society for Financial Studies, vol. 28(10), pages 2859-2901.
    17. Ravi Bansal & Hao Zhou, 2002. "Term Structure of Interest Rates with Regime Shifts," Journal of Finance, American Finance Association, vol. 57(5), pages 1997-2043, October.
    18. Scott Joslin & Marcel Priebsch & Kenneth J. Singleton, 2014. "Risk Premiums in Dynamic Term Structure Models with Unspanned Macro Risks," Journal of Finance, American Finance Association, vol. 69(3), pages 1197-1233, June.
    19. Torben G. Andersen & Luca Benzoni, 2010. "Do Bonds Span Volatility Risk in the U.S. Treasury Market? A Specification Test for Affine Term Structure Models," Journal of Finance, American Finance Association, vol. 65(2), pages 603-653, April.
    20. Alain Monfort & Fulvio Pegoraro & Jean-Paul Renne & Guillaume Roussellet, 2017. "Staying at zero with affine processes : an application to term structure modelling," Rue de la Banque, Banque de France, issue 52, november.
    21. Martin M Andreasen & Tom Engsted & Stig V Møller & Magnus Sander & Stijn Van Nieuwerburgh, 2021. "The Yield Spread and Bond Return Predictability in Expansions and Recessions," The Review of Financial Studies, Society for Financial Studies, vol. 34(6), pages 2773-2812.
    22. Dong-Hyun Ahn & Robert F. Dittmar, 2002. "Quadratic Term Structure Models: Theory and Evidence," The Review of Financial Studies, Society for Financial Studies, vol. 15(1), pages 243-288, March.
    23. Michael D. Bauer & James D. Hamilton, 2018. "Robust Bond Risk Premia," The Review of Financial Studies, Society for Financial Studies, vol. 31(2), pages 399-448.
    24. 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.
    25. Gurkaynak, Refet S. & Sack, Brian & Wright, Jonathan H., 2007. "The U.S. Treasury yield curve: 1961 to the present," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2291-2304, November.
    26. Andrea Buraschi & Ilaria Piatti & Paul Whelan, 2022. "Subjective Bond Returns and Belief Aggregation," The Review of Financial Studies, Society for Financial Studies, vol. 35(8), pages 3710-3741.
    27. 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.
    28. Fama, Eugene F & Bliss, Robert R, 1987. "The Information in Long-Maturity Forward Rates," American Economic Review, American Economic Association, vol. 77(4), pages 680-692, September.
    29. Realdon, Marco, 2006. "Quadratic term structure models in discrete time," Finance Research Letters, Elsevier, vol. 3(4), pages 277-289, December.
    30. Marcel A. Priebsch, 2013. "Computing arbitrage-free yields in multi-factor Gaussian shadow-rate term structure models," Finance and Economics Discussion Series 2013-63, Board of Governors of the Federal Reserve System (U.S.).
    31. Anna Cieslak, 2018. "Short-Rate Expectations and Unexpected Returns in Treasury Bonds," The Review of Financial Studies, Society for Financial Studies, vol. 31(9), pages 3265-3306.
    32. Liu, Yan & Wu, Jing Cynthia, 2021. "Reconstructing the yield curve," Journal of Financial Economics, Elsevier, vol. 142(3), pages 1395-1425.
    33. Damir Filipović & Martin Larsson & Anders B. Trolle, 2017. "Linear-Rational Term Structure Models," Journal of Finance, American Finance Association, vol. 72(2), pages 655-704, April.
    34. Dai, Qiang & Singleton, Kenneth J., 2002. "Expectation puzzles, time-varying risk premia, and affine models of the term structure," Journal of Financial Economics, Elsevier, vol. 63(3), pages 415-441, March.
    35. 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.
    36. Koop, Gary & Pesaran, M. Hashem & Potter, Simon M., 1996. "Impulse response analysis in nonlinear multivariate models," Journal of Econometrics, Elsevier, vol. 74(1), pages 119-147, September.
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    More about this item

    Keywords

    Bond return predictability; Dynamic term structure models; Unspanned stochastic volatility;
    All these keywords.

    JEL classification:

    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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