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Long-Term Behavior of Yield Curves

Author

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  • Siegel, Andrew F.
  • Nelson, Charles R.

Abstract

The flattening of yield curves at long-term maturities is proven to be approximately proportional to the reciprocal of the time to maturity under general conditions. This is a consequence of the persistence of earlier forward rates in the averaging process, which produces yields from forward rates. This relationship suggests the use of a “reciprocal maturity yield curve,” which significantly facilitates the interpretation of the behavior of long-term yields by linearizing them for display over a shorter interval. This is illustrated using a yield curve for U.S. Treasury bills.

Suggested Citation

  • Siegel, Andrew F. & Nelson, Charles R., 1988. "Long-Term Behavior of Yield Curves," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 23(1), pages 105-110, March.
    • Handle: RePEc:cup:jfinqa:v:23:y:1988:i:01:p:105-110_01
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    Cited by:

    1. Robert R. Bliss & Ehud I. Ronn, 1997. "Callable U.S. Treasury bonds: optimal calls, anomalies, and implied volatilities," FRB Atlanta Working Paper 97-1, Federal Reserve Bank of Atlanta.
    2. P. Byrne, Joseph & Cao, Shuo & Korobilis, Dimitris, 2015. "Term Structure Dynamics, Macro-Finance Factors and Model Uncertainty," SIRE Discussion Papers 2015-71, Scottish Institute for Research in Economics (SIRE).
    3. C. Emre Alper & Aras Akdemir & Kazim Kazimov, 2004. "Estimating the Term Structure of Government Securities in Turkey," Working Papers 2004/03, Bogazici University, Department of Economics.
    4. Diebold, Francis X. & Li, Canlin, 2006. "Forecasting the term structure of government bond yields," Journal of Econometrics, Elsevier, vol. 130(2), pages 337-364, February.
    5. Paccagnini, Alessia, 2016. "The macroeconomic determinants of the US term structure during the Great Moderation," Economic Modelling, Elsevier, vol. 52(PA), pages 216-225.
    6. Mr. Rodrigo Cabral & Mr. Richard Munclinger & Mr. Luiz Alves & Mr. Marco Rodriguez Waldo, 2011. "On Brazil’s Term Structure: Stylized Facts and Analysis of Macroeconomic Interactions," IMF Working Papers 2011/113, International Monetary Fund.
    7. Guidolin, Massimo & Thornton, Daniel L., 2018. "Predictions of short-term rates and the expectations hypothesis," International Journal of Forecasting, Elsevier, vol. 34(4), pages 636-664.
    8. repec:hal:wpaper:hal-01217928 is not listed on IDEAS
    9. Faust, Jon & Rogers, John H. & Wang, Shing-Yi B. & Wright, Jonathan H., 2007. "The high-frequency response of exchange rates and interest rates to macroeconomic announcements," Journal of Monetary Economics, Elsevier, vol. 54(4), pages 1051-1068, May.
    10. P. Byrne, Joseph & Cao, Shuo & Korobilis, Dimitris, 2015. "Term Structure Dynamics, Macro-Finance Factors and Model Uncertainty," 2007 Annual Meeting, July 29-August 1, 2007, Portland, Oregon TN 2015-71, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    11. Yallup, Peter J., 2012. "Models of the yield curve and the curvature of the implied forward rate function," Journal of Banking & Finance, Elsevier, vol. 36(1), pages 121-135.
    12. Schich, Sebastian T., 1996. "Alternative Spezifikationen der deutschen Zinsstrukturkurve und ihr Informationsgehalt hinsichtlich der Inflation," Discussion Paper Series 1: Economic Studies 1996,08, Deutsche Bundesbank.
    13. Daniel L. Thornton, 2005. "Predictions of short-term rates and the expectations hypothesis of the term structure of interest rates," Working Papers 2004-010, Federal Reserve Bank of St. Louis.
    14. Mabelle Sayah, 2016. "Analyzing and Comparing Basel's III Sensitivity Based Approach for the interest rate risk in the trading book," Post-Print hal-01217928, HAL.
    15. Almeida, Caio & Lund, Bruno, 2014. "Immunization of Fixed-Income Portfolios Using an Exponential Parametric Model," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 34(2), November.
    16. Ales Marsal & Lorant Kaszab & Roman Horvath, 2017. "Government Spending and the Term Structure of Interest Rates in a DSGE Model," Working and Discussion Papers WP 3/2017, Research Department, National Bank of Slovakia.
    17. Madura, J. & Wiley, M. K. & Zarruk, E. R., 1998. "Cointegration of term structure premiums across countries," Journal of Multinational Financial Management, Elsevier, vol. 8(4), pages 393-412, November.
    18. Francis X. Diebold, 2004. "The Nobel Memorial Prize for Robert F. Engle," Scandinavian Journal of Economics, Wiley Blackwell, vol. 106(2), pages 165-185, June.
    19. Rabeb Mahjoub & Ali Trabelsi Karoui & Aida Kammoun, 2025. "Analyzing yield curve term structure and connectedness in the Eurozone and G7: A TVP-VAR approach," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 49(3), pages 795-821, September.
    20. Cem Çakmakli, 2012. "Bayesian Semiparametric Dynamic Nelson-Siegel Model," Working Paper series 59_12, Rimini Centre for Economic Analysis, revised Sep 2012.
    21. Byrne, Joseph P. & Cao, Shuo & Korobilis, Dimitris, 2017. "Forecasting the term structure of government bond yields in unstable environments," Journal of Empirical Finance, Elsevier, vol. 44(C), pages 209-225.

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