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A Macroeconomic Foundation for the Nelson and Siegel Class of Yield Curve Models

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Author Info
Leo Krippner (AMP)

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Abstract

Yield curve models of the Nelson and Siegel (1987) class have proven themselves popular empirical tools in finance and economics, but they lack a formal theoretical justification. Hence, this article uses a multifactor version of the Cox, Ingersoll and Ross (1985a) continuous-time general-equilibrium economy to derive a macroeconomic foundation for a theoretically-consistent version of the Nelson and Siegel class of yield curve models. It is established that the level and shape of the yield curve as represented by NS models may be explained succinctly in terms of expectations of inflation and real output growth within an underlying economic model. This theoretically-rigorous yet parsimonious and intuitive framework is applicable as a macro-finance tool, and the application in this article provides a ready interpretation of a series of empirical results from the macro-finance literature that relate the level and slope of the yield curve to output growth and inflation.

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File URL: http://www.business.uts.edu.au/qfrc/research/research_papers/rp226.pdf
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Publisher Info
Paper provided by Quantitative Finance Research Centre, University of Technology, Sydney in its series Research Paper Series with number 226.

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Length: 27
Date of creation: 01 Jun 2008
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Handle: RePEc:uts:rpaper:226

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Related research
Keywords: yield curve term structure of interest rates macro-finance Nelson and Siegel model Heath-Jarrow-Morton framework

Find related papers by JEL classification:
E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Determination of Interest Rates; Term Structure of Interest Rates
E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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  1. McCulloch, J Huston, 1971. "Measuring the Term Structure of Interest Rates," Journal of Business, University of Chicago Press, vol. 44(1), pages 19-31, January. [Downloadable!] (restricted)
  2. Heath, David & Jarrow, Robert & Morton, Andrew, 1992. "Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation," Econometrica, Econometric Society, vol. 60(1), pages 77-105, January. [Downloadable!] (restricted)
  3. Pham, Toan M., 1998. "Estimation of the term structure of interest rates: an international perspective," Journal of Multinational Financial Management, Elsevier, vol. 8(2-3), pages 265-283, September. [Downloadable!] (restricted)
  4. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "A Theory of the Term Structure of Interest Rates," Econometrica, Econometric Society, vol. 53(2), pages 385-407, March. [Downloadable!] (restricted)
  5. Nakaota, Hiroshi, 2005. "The term structure of interest rates in Japan: the predictability of economic activity," Japan and the World Economy, Elsevier, vol. 17(3), pages 311-326, August. [Downloadable!] (restricted)
  6. Mohamed Safouane Ben Aïssa & Jamel Jouini, 2003. "Structural breaks in the US inflation process," Applied Economics Letters, Taylor and Francis Journals, vol. 10(10), pages 633-636, August. [Downloadable!] (restricted)
  7. Michael D. Bordo & Joseph G Haubrich, 2004. "The Yield Curve, Recessions and the Credibility of the Monetary Regime: Long Run Evidence 1875-1997," NBER Working Papers 10431, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  8. 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. [Downloadable!] (restricted)
    Other versions:
  9. Paya, Ivan & Matthews, Kent & Peel, David, 2005. "The term spread and real economic activity in the US inter-war period," Journal of Macroeconomics, Elsevier, vol. 27(2), pages 331-343, June. [Downloadable!] (restricted)
  10. Leo Krippner, 2006. "A Theoretically Consistent Version of the Nelson and Siegel Class of Yield Curve Models," Applied Mathematical Finance, Taylor and Francis Journals, vol. 13(1), pages 39-59, March. [Downloadable!] (restricted)
  11. Dahlquist, Magnus & Svensson, Lars E O, 1996. " Estimating the Term Structure of Interest Rates for Monetary Policy Analysis," Scandinavian Journal of Economics, Blackwell Publishing, vol. 98(2), pages 163-83, June.
  12. Ioannides, Michalis, 2003. "A comparison of yield curve estimation techniques using UK data," Journal of Banking & Finance, Elsevier, vol. 27(1), pages 1-26, January. [Downloadable!] (restricted)
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