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A theoretical foundation for the Nelson and Siegel class of yield curve models

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  • Leo Krippner

Abstract

Yield curve models within the popular Nelson and Siegel (hereafter NS) class are shown to arise from a formal low-order Taylor approximation to the generic Gaussian affine term structure model. That theoretical foundation provides an assurance that NS models correspond to a well-accepted framework for yield curve modeling. It further suggests that any yield curve from the GATSM class should be parsimoniously representable by an two factor arbitrage-free NS model, which should prove useful for macrofinance applications. Such a model is derived and applied to provide evidence for changes in United States yield curve dynamics pre- and post-1988.

Suggested Citation

  • Leo Krippner, 2012. "A theoretical foundation for the Nelson and Siegel class of yield curve models," CAMA Working Papers 2012-11, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    • Handle: RePEc:een:camaaa:2012-11
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    Cited by:

    1. Leo Krippner, 2014. "Measuring the stance of monetary policy in conventional and unconventional environments," CAMA Working Papers 2014-06, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    2. Leo Krippner, 2012. "Modifying Gaussian term structure models when interest rates are near the zero lower bound (this is a revised version of CAMA working paper 36/2011)," CAMA Working Papers 2012-05, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    3. Leo Krippner, 2011. "Modifying Gaussian term structure models when interest rates are near the zero lower bound," CAMA Working Papers 2011-36, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    4. Eric McCoy, 2019. "A Calibration of the Term Premia to the Euro Area," European Economy - Discussion Papers 110, Directorate General Economic and Financial Affairs (DG ECFIN), European Commission.
    5. Jens H. E. Christensen, 2013. "A Regime-Switching Model of the Yield Curve at the Zero Bound," Working Paper Series 2013-34, Federal Reserve Bank of San Francisco.

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    More about this item

    JEL classification:

    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics

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