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Immunizing Default-Free Bond Portfolios with a Duration Vector

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  • Chambers, Donald R.
  • Carleton, Willard T.
  • McEnally, Richard W.

Abstract

Dissatisfaction occasionally has been expressed with traditional measures of duration for immunization on conceptual grounds. However, more elegant duration measures have not been found to be superior to the traditional ones in empirical tests of immunization efficacy. Under the assumption that the term structure of continuously compounded interest rates can be expressed as a polynomial, Chambers and Carleton (1981) demonstrate that the finite and noninstantaneous return of a default-free bond can be expressed as a vector product of a duration vector and a shift vector. This study derives immunization strategies from the model and tests them. The results of the portfolio tests indicate that the traditional duration approach of Macaulay provides enhanced immunization relative to maturity approaches or naive approaches. However, the duration vector approach produces further improvements.

Suggested Citation

  • Chambers, Donald R. & Carleton, Willard T. & McEnally, Richard W., 1988. "Immunizing Default-Free Bond Portfolios with a Duration Vector," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 23(01), pages 89-104, March.
  • Handle: RePEc:cup:jfinqa:v:23:y:1988:i:01:p:89-104_01
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    Citations

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    Cited by:

    1. Ventura Bravo, Jorge Miguel & Pereira da Silva, Carlos Manuel, 2006. "Immunization using a stochastic-process independent multi-factor model: The Portuguese experience," Journal of Banking & Finance, Elsevier, vol. 30(1), pages 133-156, January.
    2. Leo Krippner, 2005. "Attributing Returns and Optimising United States Swaps Portfolios Using an Intertemporally-Consistent and Arbitrage-Free Model of the Yield Curve," Working Papers in Economics 05/03, University of Waikato.
    3. Balbás, Alejandro & Montagut, Esperanza H. & Pérez Fructuoso, María José, 2004. "Hedging bond portfolios versus infinitely many ranked factors of risk," DEE - Working Papers. Business Economics. WB wb043312, Universidad Carlos III de Madrid. Departamento de Economía de la Empresa.
    4. Francis X. Diebold & Lei Ji & Canlin Li, 2006. "A Three-Factor Yield Curve Model: Non-Affine Structure, Systematic Risk Sources and Generalized Duration," Chapters,in: Long-run Growth and Short-run Stabilization, chapter 9 Edward Elgar Publishing.
    5. Luís Oliveira & João Vidal Nunes & Luís Malcato, 2014. "The performance of deterministic and stochastic interest rate risk measures:," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 13(3), pages 141-165, December.
    6. Eliseo Navarro & Juan M. Nave, 1997. "A two-factor duration model for interest rate risk management," Investigaciones Economicas, Fundación SEPI, vol. 21(1), pages 55-74, January.
    7. Lesseig, Vance P. & Stock, Duane, 2000. "Impact of Correlation of Asset Value and Interest Rates upon Duration and Convexity of Risky Debt," Journal of Business Research, Elsevier, vol. 49(3), pages 289-301, September.
    8. repec:sbe:breart:v:34:y:2014:i:2:a:18432 is not listed on IDEAS
    9. Soto, Gloria M., 2001. "Immunization derived from a polynomial duration vector in the Spanish bond market," Journal of Banking & Finance, Elsevier, vol. 25(6), pages 1037-1057, June.
    10. Nawalkha, Sanjay K. & Soto, Gloria M. & Zhang, Jun, 2003. "Generalized M-vector models for hedging interest rate risk," Journal of Banking & Finance, Elsevier, vol. 27(8), pages 1581-1604, August.
    11. Jacoby, Gady & Roberts, Gordon S., 2003. "Default- and call-adjusted duration for corporate bonds," Journal of Banking & Finance, Elsevier, vol. 27(12), pages 2297-2321, December.
    12. Pilar Abad & Sonia Benito, 2006. "Valor en Riesgo en carteras de renta fija: una comparación entre modelos empíricos de la estructura temporal," Documentos de Trabajo del ICAE 0604, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
    13. Nawalkha, Sanjay K., 1995. "The duration vector: A continuous-time extension to default-free interest rate contingent claims," Journal of Banking & Finance, Elsevier, vol. 19(8), pages 1359-1366, November.
    14. Alina Kondratiuk-Janyska & Marek Kaluszka, 2009. "On new immunization strategies under random shocks on the term structure of interest rates," Operations Research and Decisions, Wroclaw University of Technology, Institute of Organization and Management, vol. 1, pages 91-101.
    15. Jorge Miguel Ventura Bravo & Carlos Manuel Pereira da Silva, 2005. "Immunization Using a Parametric Model of the Term Structure," Economics Working Papers 19_2005, University of Évora, Department of Economics (Portugal).
    16. Soto, Gloria M., 2004. "Duration models and IRR management: A question of dimensions?," Journal of Banking & Finance, Elsevier, vol. 28(5), pages 1089-1110, May.
    17. Ghezzi, Luca Luigi, 1999. "A maxmin policy for bond management," European Journal of Operational Research, Elsevier, vol. 114(2), pages 389-394, April.
    18. Balbas, Alejandro & Ibanez, Alfredo, 1998. "When can you immunize a bond portfolio?," Journal of Banking & Finance, Elsevier, vol. 22(12), pages 1571-1595, December.
    19. Carcano, Nicola & Dall'O, Hakim, 2011. "Alternative models for hedging yield curve risk: An empirical comparison," Journal of Banking & Finance, Elsevier, vol. 35(11), pages 2991-3000, November.
    20. Balbás, Alejandro & Ibáñez, Alfredo, 1994. "When can you immunize a bond portfolio?," DEE - Working Papers. Business Economics. WB 7078, Universidad Carlos III de Madrid. Departamento de Economía de la Empresa.
    21. Barber, Joel R. & Copper, Mark L., 1998. "A minimax risk strategy for portfolio immunization," Insurance: Mathematics and Economics, Elsevier, vol. 23(2), pages 173-177, November.
    22. Osborne, Michael J., 2005. "On the computation of a formula for the duration of a bond that yields precise results," The Quarterly Review of Economics and Finance, Elsevier, vol. 45(1), pages 161-183, February.
    23. Balbas, Alejandro & Ibanez, Alfredo & Lopez, Susana, 2002. "Dispersion measures as immunization risk measures," Journal of Banking & Finance, Elsevier, vol. 26(6), pages 1229-1244, June.

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