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Modelling the Yield Curve with Orthonomalised Laguerre Polynomials: An Intertemporally Consistent Approach with an Economic Interpretation

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  • Leo Krippner

    () (AMP Capital Investors)

Abstract

This article provides theoretical foundations for the popular orthonormalised Laguerre polynomial (OLP) model of the yield curve, as originally introduced by Nelson and Siegel (1987). Intertemporal consistency is provided by deriving the volatility-adjusted OLP (VAO) model of the yield curve using the risk-neutral Heath, Jarrow and Morton (1992) framework, and including an allowance for term premia as noted in Duffee (2002). An economic interpretation is provided by deriving the relationship between the VAO model and the Berardi and Esposito (1999) yield curve model that is based on a generic general equilibrium model of the economy. In empirical applications using almost 50 years of United States data, the VAO model outperforms the random walk when used to forecast the yield curve out of sample, and the level of the yield curve as measured by the VAO model is shown to be cointegrated with CPI inflation, as predicted.

Suggested Citation

  • Leo Krippner, 2003. "Modelling the Yield Curve with Orthonomalised Laguerre Polynomials: An Intertemporally Consistent Approach with an Economic Interpretation," Working Papers in Economics 03/01, University of Waikato.
  • Handle: RePEc:wai:econwp:03/01
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    File URL: ftp://wms-webprod1.mngt.waikato.ac.nz/RePEc/wai/econwp/0301.pdf
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    References listed on IDEAS

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    Cited by:

    1. Leo Krippner, 2006. "A Theoretically Consistent Version of the Nelson and Siegel Class of Yield Curve Models," Applied Mathematical Finance, Taylor & Francis Journals, vol. 13(1), pages 39-59.
    2. Leo Krippner, 2005. "An Intertemporally-Consistent and Arbitrage-Free Version of the Nelson and Siegel Class of Yield Curve Models," Working Papers in Economics 05/01, University of Waikato.

    More about this item

    Keywords

    yield curve; term structure of interest rates; Nelson and Siegel model; Heath-Jarrow-Morton framework;

    JEL classification:

    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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