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Modelling Persistence and Non-Linearities in the US Treasury 10-Year Bond Yields

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Listed:
  • Guglielmo Maria Caporale
  • Luis A. Gil-Alana
  • OlaOluwa Simon Yaya

Abstract

This paper analyses persistence and non-linearities in quarterly and monthly US Treasury 10-year bond yields over the period 1962-2021 using two different fractional integration approaches including Chebyshev polynomials and Fourier functions respectively. The results for both quarterly and monthly data provide evidence of non-linear structures and mean reversion (i.e., of transitory effects of shocks) under the assumption of autocorrelated errors.

Suggested Citation

  • Guglielmo Maria Caporale & Luis A. Gil-Alana & OlaOluwa Simon Yaya, 2022. "Modelling Persistence and Non-Linearities in the US Treasury 10-Year Bond Yields," CESifo Working Paper Series 9554, CESifo.
  • Handle: RePEc:ces:ceswps:_9554
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    References listed on IDEAS

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    1. Caporale, Guglielmo Maria & Gil-Alana, Luis A., 2017. "Persistence and cycles in the us federal funds rate," International Review of Financial Analysis, Elsevier, vol. 52(C), pages 1-8.
    2. John T. Barkoulas & Christopher F. Baum, 1997. "Fractional Differencing Modeling And Forecasting Of Eurocurrency Deposit Rates," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 20(3), pages 355-372, September.
    3. Guglielmo Caporale & Luis Gil-Alana, 2016. "Persistence and cyclical dependence in the monthly euribor rate," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 40(1), pages 157-171, January.
    4. Guglielmo Maria Caporale & Luis Alberiko Gil-Alana & Miguel Ángel Martin-Valmayor, 2022. "Non-linearities and persistence in US long-run interest rates," Applied Economics Letters, Taylor & Francis Journals, vol. 29(4), pages 366-370, February.
    5. Campbell, John Y & Shiller, Robert J, 1987. "Cointegration and Tests of Present Value Models," Journal of Political Economy, University of Chicago Press, vol. 95(5), pages 1062-1088, October.
    6. Diebold, Francis X. & Rudebusch, Glenn D., 1991. "On the power of Dickey-Fuller tests against fractional alternatives," Economics Letters, Elsevier, vol. 35(2), pages 155-160, February.
    7. Lee, Dongin & Schmidt, Peter, 1996. "On the power of the KPSS test of stationarity against fractionally-integrated alternatives," Journal of Econometrics, Elsevier, vol. 73(1), pages 285-302, July.
    8. Bierens, Herman J., 1997. "Testing the unit root with drift hypothesis against nonlinear trend stationarity, with an application to the US price level and interest rate," Journal of Econometrics, Elsevier, vol. 81(1), pages 29-64, November.
    9. Paul Doukhan & Patrice Bertail & Philippe Soulier, 2006. "Dependence in Probability and Statistics," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00268232, HAL.
    10. Granger, Clive W. J. & Hyung, Namwon, 2004. "Occasional structural breaks and long memory with an application to the S&P 500 absolute stock returns," Journal of Empirical Finance, Elsevier, vol. 11(3), pages 399-421, June.
    11. Luis A. Gil-Alana & OlaOluwa S. Yaya, 2021. "Testing fractional unit roots with non-linear smooth break approximations using Fourier functions," Journal of Applied Statistics, Taylor & Francis Journals, vol. 48(13-15), pages 2542-2559, November.
    12. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
    13. Peter C. B. Phillips, 2005. "Econometric Analysis of Fisher's Equation," American Journal of Economics and Sociology, Wiley Blackwell, vol. 64(1), pages 125-168, January.
    14. Karanasos, M. & Sekioua, S.H. & Zeng, N., 2006. "On the order of integration of monthly US ex-ante and ex-post real interest rates: New evidence from over a century of data," Economics Letters, Elsevier, vol. 90(2), pages 163-169, February.
    15. Tsay, Wen-Jen, 2000. "Long memory story of the real interest rate," Economics Letters, Elsevier, vol. 67(3), pages 325-330, June.
    16. Margaret R. Maier & Nigel Meade, 2003. "Evidence of long memory in short-term interest rates," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 22(8), pages 553-568.
    17. Lai, Kon S, 1997. "Long-Term Persistence in the Real Interest Rate: Some Evidence of a Fractional Unit Root," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 2(3), pages 225-235, July.
    18. Kramer, Walter, 1998. "Fractional integration and the augmented Dickey-Fuller Test," Economics Letters, Elsevier, vol. 61(3), pages 269-272, December.
    19. Paul Doukhan & Patrice Bertail & Philippe Soulier, 2006. "Dependence in Probability and Statistics," Post-Print hal-00268232, HAL.
    20. Hassler, Uwe & Wolters, Jurgen, 1994. "On the power of unit root tests against fractional alternatives," Economics Letters, Elsevier, vol. 45(1), pages 1-5, May.
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    1. Caporale, Guglielmo Maria & Gil-Alana, Luis Alberiko & Puertolas, Francisco, 2024. "Modelling profitability of private equity: A fractional integration approach," Research in International Business and Finance, Elsevier, vol. 67(PA).

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    More about this item

    Keywords

    non-linearities; Chebyshev polynomials; Fourier functions; persistence; US Treasury; 10-year bond yields;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects

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