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The Joint Estimation of Term Structures and Credit Spreads

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Author Info

  • Patrick Houweling

    (Erasmus University Rotterdam)

  • Jaap Hoek

    (Robeco Group)

  • Frank Kleibergen

    ()
    (Erasmus University Rotterdam)

Abstract

We present a new framework for the joint estimation of the default-free government term structure and corporate credit spread curves. By using a data set of liquid, German mark denominated bonds, we show that this yields more realistic spreads than traditionally obtained spread curves that result from subtracting independently estimated government and corporate term structures. The obtained spread curves are smooth functions of time to maturity, as opposed to the twisting curves one gets from the traditional method, and are less sensitive to model specifications. To determine the ‘optimal’ model specification, we use a newly developed test statistic that compares spread curves from competing models. This discussion paper has resulted in a publication in the Journal of Empirical Finance , 2001, 8(3), 297-323.

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Bibliographic Info

Paper provided by Tinbergen Institute in its series Tinbergen Institute Discussion Papers with number 99-027/4.

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Date of creation: 14 Apr 1999
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Handle: RePEc:dgr:uvatin:19990027

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Web page: http://www.tinbergen.nl

Related research

Keywords: Term structure estimation; Credit spreads; Corporate bonds; Splines;

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References

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  1. Litzenberger, Robert H & Rolfo, Jacques, 1984. " An International Study of Tax Effects on Government Bonds," Journal of Finance, American Finance Association, vol. 39(1), pages 1-22, March.
  2. Hull, John & White, Alan, 1995. "The impact of default risk on the prices of options and other derivative securities," Journal of Banking & Finance, Elsevier, vol. 19(2), pages 299-322, May.
  3. Merton, Robert C., 1973. "On the pricing of corporate debt: the risk structure of interest rates," Working papers 684-73., Massachusetts Institute of Technology (MIT), Sloan School of Management.
  4. Shea, Gary S, 1985. " Interest Rate Term Structure Estimation with Exponential Splines: A Note," Journal of Finance, American Finance Association, vol. 40(1), pages 319-25, March.
  5. Nelson, Charles R & Siegel, Andrew F, 1987. "Parsimonious Modeling of Yield Curves," The Journal of Business, University of Chicago Press, vol. 60(4), pages 473-89, October.
  6. Jarrow, Robert A & Lando, David & Turnbull, Stuart M, 1997. "A Markov Model for the Term Structure of Credit Risk Spreads," Review of Financial Studies, Society for Financial Studies, vol. 10(2), pages 481-523.
  7. Beim, D.O., 1992. "Term Structure and the Non-Cash Values in Bonds," Papers 92-40, Columbia - Graduate School of Business.
  8. Longstaff, Francis A & Schwartz, Eduardo S, 1995. " A Simple Approach to Valuing Risky Fixed and Floating Rate Debt," Journal of Finance, American Finance Association, vol. 50(3), pages 789-819, July.
  9. Vasicek, Oldrich A & Fong, H Gifford, 1982. " Term Structure Modeling Using Exponential Splines," Journal of Finance, American Finance Association, vol. 37(2), pages 339-48, May.
  10. Duffie, Darrell & Singleton, Kenneth J, 1999. "Modeling Term Structures of Defaultable Bonds," Review of Financial Studies, Society for Financial Studies, vol. 12(4), pages 687-720.
  11. McCulloch, J Huston, 1971. "Measuring the Term Structure of Interest Rates," The Journal of Business, University of Chicago Press, vol. 44(1), pages 19-31, January.
  12. Shea, Gary S., 1984. "Pitfalls in Smoothing Interest Rate Term Structure Data: Equilibrium Models and Spline Approximations," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 19(03), pages 253-269, September.
  13. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
  14. Duffee, Gregory R., 1996. "On measuring credit risks of derivative instruments," Journal of Banking & Finance, Elsevier, vol. 20(5), pages 805-833, June.
  15. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(04), pages 627-627, November.
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Citations

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Cited by:
  1. Albrecht, Peter, 2005. "Kreditrisiken - Modellierung und Management: Ein Überblick," German Risk and Insurance Review (GRIR), University of Cologne, Department of Risk Management and Insurance, vol. 1(2), pages 22-152.
  2. Michael Boss & Martin Scheicher, 2002. "The determinants of credit spread changes in the euro area," BIS Papers chapters, in: Bank for International Settlements (ed.), Market functioning and central bank policy, volume 12, pages 181-199 Bank for International Settlements.
  3. Wagner, Stephan M. & Bode, Christoph & Koziol, Philipp, 2011. "Negative default dependence in supplier networks," International Journal of Production Economics, Elsevier, vol. 134(2), pages 398-406, December.
  4. Ballestra, Luca Vincenzo & Pacelli, Graziella, 2014. "Valuing risky debt: A new model combining structural information with the reduced-form approach," Insurance: Mathematics and Economics, Elsevier, vol. 55(C), pages 261-271.
  5. Palladini, Giorgia & Portes, Richard, 2011. "Sovereign CDS and Bond Pricing Dynamics in the Euro-area," CEPR Discussion Papers 8651, C.E.P.R. Discussion Papers.
  6. Frank Skinner & Michalis Ioannides, 2004. "FRS17 and the Sterling Doubles A Corporate Yield Curve," ICMA Centre Discussion Papers in Finance icma-dp2004-08, Henley Business School, Reading University.
  7. Batten, Jonathan & Hogan, Warren, 2002. "A perspective on credit derivatives," International Review of Financial Analysis, Elsevier, vol. 11(3), pages 251-278.
  8. Leo Krippner, 2003. "Modelling the Yield Curve with Orthonormalised Laguerre Polynomials: A Consistent Cross-Sectional and Inter-Temporal Approach," Working Papers in Economics 03/02, University of Waikato, Department of Economics.

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