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Long-Term Behavior of Yield Curves

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  • Charles R. Nelson
  • Andrew F. Siegel

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

  • Charles R. Nelson & Andrew F. Siegel, 1986. "Long-Term Behavior of Yield Curves," NBER Working Papers 1789, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:1789
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    References listed on IDEAS

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    1. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1981. "A Re-examination of Traditional Hypotheses about the Term Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 36(4), pages 769-799, September.
    2. Livingston, Miles B & Jain, Suresh K, 1982. " Flattening of Bond Yield Curves for Long Maturities," Journal of Finance, American Finance Association, vol. 37(1), pages 157-167, March.
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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. 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.
    4. 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.
    5. 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.
    6. Paccagnini, Alessia, 2016. "The macroeconomic determinants of the US term structure during the Great Moderation," Economic Modelling, Elsevier, vol. 52(PA), pages 216-225.
    7. Massimo Guidolin & Daniel L. Thornton, 2010. "Predictions of short-term rates and the expectations hypothesis," Working Papers 2010-013, Federal Reserve Bank of St. Louis.
    8. 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).
    9. 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.
    10. 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.
    11. 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.
    12. Rodrigo Cabral & Richard Munclinger & Luiz Alves & Marco Rodriguez Waldo, 2011. "On Brazil’s Term Structure; Stylized Facts and Analysis of Macroeconomic Interactions," IMF Working Papers 11/113, International Monetary Fund.
    13. repec:sbe:breart:v:34:y:2014:i:2:a:18432 is not listed on IDEAS
    14. 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.
    15. Cem Çakmakli, 2012. "Bayesian Semiparametric Dynamic Nelson-Siegel Model," Working Paper series 59_12, Rimini Centre for Economic Analysis, revised Sep 2012.
    16. repec:eee:empfin:v:44:y:2017:i:c:p:209-225 is not listed on IDEAS

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