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Ultimate Forward Rate Prediction and its Application to Bond Yield Forecasting: A Machine Learning Perspective

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  • Jiawei Du
  • Yi Hong

Abstract

This study focuses on forecasting the ultimate forward rate (UFR) and developing a UFRbased bond yield prediction model using data from Chinese treasury bonds and macroeconomic variables spanning from December 2009 to December 2024. The de Kort-Vellekooptype methodology is applied to estimate the UFR, incorporating the optimal turning parameter determination technique proposed in this study, which helps mitigate anomalous fluctuations. In addition, both linear and nonlinear machine learning techniques are employed to forecast the UFR and ultra-long-term bond yields. The results indicate that nonlinear machine learning models outperform their linear counterparts in forecasting accuracy. Incorporating macroeconomic variables, particularly price index-related variables, significantly improves the accuracy of predictions. Finally, a novel UFR-based bond yield forecasting model is developed, demonstrating superior performance across different bond maturities.

Suggested Citation

  • Jiawei Du & Yi Hong, 2025. "Ultimate Forward Rate Prediction and its Application to Bond Yield Forecasting: A Machine Learning Perspective," Papers 2601.00011, arXiv.org.
  • Handle: RePEc:arx:papers:2601.00011
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    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. Daniele Bianchi & Matthias Büchner & Tobias Hoogteijling & Andrea Tamoni, 2021. "Corrigendum: Bond Risk Premiums with Machine Learning [Bond risk premiums with machine learning]," The Review of Financial Studies, Society for Financial Studies, vol. 34(2), pages 1090-1103.
    3. David Heath & Robert Jarrow & Andrew Morton, 2008. "Bond Pricing And The Term Structure Of Interest Rates: A New Methodology For Contingent Claims Valuation," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 13, pages 277-305, World Scientific Publishing Co. Pte. Ltd..
    4. Fan, Longzhen & Johansson, Anders C., 2010. "China's official rates and bond yields," Journal of Banking & Finance, Elsevier, vol. 34(5), pages 996-1007, May.
    5. Yu, Wei-Choun & Zivot, Eric, 2011. "Forecasting the term structures of Treasury and corporate yields using dynamic Nelson-Siegel models," International Journal of Forecasting, Elsevier, vol. 27(2), pages 579-591.
    6. Umar, Zaghum & Yousaf, Imran & Aharon, David Y., 2021. "The relationship between yield curve components and equity sectorial indices: Evidence from China," Pacific-Basin Finance Journal, Elsevier, vol. 68(C).
    7. Francis X. Diebold & Glenn D. Rudebusch, 2012. "Yield Curve Modeling and Forecasting: The Dynamic Nelson-Siegel Approach," Economics Books, Princeton University Press, edition 1, volume 1, number 9895, December.
    8. Dimitri Vayanos & Jean‐Luc Vila, 2021. "A Preferred‐Habitat Model of the Term Structure of Interest Rates," Econometrica, Econometric Society, vol. 89(1), pages 77-112, January.
    9. John Y. Campbell & Robert J. Shiller, 1991. "Yield Spreads and Interest Rate Movements: A Bird's Eye View," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(3), pages 495-514.
    10. Yifeng Yan & Ju'e Guo, 2015. "The Sovereign Yield Curve and the Macroeconomy in China," Pacific Economic Review, Wiley Blackwell, vol. 20(3), pages 415-441, August.
    11. Chionis, Dionysios & Pragidis, Ioannis & Schizas, Panagiotis, 2014. "Long-term government bond yields and macroeconomic fundamentals: Evidence for Greece during the crisis-era," Finance Research Letters, Elsevier, vol. 11(3), pages 254-258.
    12. Clark, Todd E. & West, Kenneth D., 2007. "Approximately normal tests for equal predictive accuracy in nested models," Journal of Econometrics, Elsevier, vol. 138(1), pages 291-311, May.
    13. Zhao, Chaoyi & Jia, Zijian & Wu, Lan, 2024. "Construct Smith-Wilson risk-free interest rate curves with endogenous and positive ultimate forward rates," Insurance: Mathematics and Economics, Elsevier, vol. 114(C), pages 156-175.
    14. Andrea Ajello & Luca Benzoni & Olena Chyruk & Stijn Van Nieuwerburgh, 2020. "Core and ‘Crust’: Consumer Prices and the Term Structure of Interest Rates," The Review of Financial Studies, Society for Financial Studies, vol. 33(8), pages 3719-3765.
    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. Yuhuang Shang & Xuyang Zhang & Qing Wang, 2023. "Interest rate term structure and the Chinese fiscal policy: a mixed frequency term structure approach," Journal of the Asia Pacific Economy, Taylor & Francis Journals, vol. 28(1), pages 33-52, January.
    17. Constantino Hevia & Martin Gonzalez‐Rozada & Martin Sola & Fabio Spagnolo, 2015. "Estimating and Forecasting the Yield Curve Using A Markov Switching Dynamic Nelson and Siegel Model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 30(6), pages 987-1009, September.
    18. Ho, Thomas S Y & Lee, Sang-bin, 1986. "Term Structure Movements and Pricing Interest Rate Contingent Claims," Journal of Finance, American Finance Association, vol. 41(5), pages 1011-1029, December.
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