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Modelling the Yield Curve with Orthonormalised Laguerre Polynomials: A Consistent Cross-Sectional and Inter-Temporal Approach

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Leo Krippner () (AMP Capital Investors)

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Abstract

This article proposes the orthonormalised Laguerre polynomial (OLP) model of the yield curve, a generic linear model that is both cross-sectionally consistent (that is, it reliably fits the yield curve at a given point in time), and inter-temporally consistent (that is, the cross-sectional parameters are shown to be consistent over time within the expectations hypothesis framework). The OLP model generalises the exponential-polynomial model for a single yield curve, as originally proposed by Nelson and Siegel (1987), and also allows for the simultaneous modelling of other same-currency yield curves that have instrument-specific differences (such as default risk), as in Houweling, Hoek and Kleibergen (2001). New Zealand data is used to illustrate the empirical application of the OLP model.

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File URL: ftp://mngt.waikato.ac.nz/RePEc/wai/econwp/0302.pdf
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Publisher Info
Paper provided by University of Waikato, Department of Economics in its series Working Papers in Economics with number 03/02.

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Length: 40 pages
Date of creation: 30 Sep 2003
Date of revision:
Handle: RePEc:wai:econwp:03/02

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Related research
Keywords: yield curve; term structure; expectations hypothesis; exponential polynomial; Nelson and Siegel model;

Find related papers by JEL classification:
C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions
E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Determination of Interest Rates; Term Structure of Interest Rates

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Jean Helwege & Christopher M. Turner, 1999. "The Slope of the Credit Yield Curve for Speculative-Grade Issuers," Journal of Finance, American Finance Association, vol. 54(5), pages 1869-1884, October. [Downloadable!] (restricted)
  2. Soderlind, Paul & Svensson, Lars, 1997. "New techniques to extract market expectations from financial instruments," Journal of Monetary Economics, Elsevier, vol. 40(2), pages 383-429, October. [Downloadable!] (restricted)
    Other versions:
  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. Peter Hördahl, 2000. "Estimating the implied distribution of the future short term interest rate using the Longstaff-Schwartz model," Working Paper Series 16, European Central Bank. [Downloadable!]
  5. Mansi, Sattar A & Phillips, Jeffrey H, 2001. "Modeling the Term Structure from the On-the-Run Treasury Yield Curve," Journal of Financial Research, Southern Finance Association and Southwestern Finance Association, vol. 24(4), pages 545-64, Winter.
  6. Seppälä, Juha & Viertiö, Petri, 1996. "The Term Structure of Interest Rates: Estimation and Interpretation," Research Discussion Papers 19/1996, Bank of Finland. [Downloadable!]
  7. Jarrow, Robert A & Lando, David & Turnbull, Stuart M, 1997. "A Markov Model for the Term Structure of Credit Risk Spreads," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 10(2), pages 481-523.
  8. Francis X. Diebold & Canlin Li, 2002. "Forecasting the Term Structure of Government Bond Yields," Center for Financial Institutions Working Papers 02-34, Wharton School Center for Financial Institutions, University of Pennsylvania. [Downloadable!]
    Other versions:
  9. Ben Hunt, 1995. "Fitting Parsimonious Yield Curve Models to Australian Coupon Bond Data," Working Paper Series 51, School of Finance and Economics, University of Technology, Sydney. [Downloadable!]
  10. Lin, Bing-Huei, 2002. "Fitting Term Structure of Interest Rates Using B-Splines: The Case of Taiwanese Government Bonds," Applied Financial Economics, Taylor and Francis Journals, vol. 12(1), pages 57-75, January. [Downloadable!] (restricted)
  11. Houweling, Patrick & Hoek, Jaap & Kleibergen, Frank, 2001. "The joint estimation of term structures and credit spreads," Journal of Empirical Finance, Elsevier, vol. 8(3), pages 297-323, July. [Downloadable!] (restricted)
    Other versions:
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. 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, Department of Economics. [Downloadable!]
  2. 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, Department of Economics. [Downloadable!]
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