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Asset Values, Interest-Rate Changes, and Duration

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  • Cooper, I. A.

Abstract

Much effort has been recently devoted to investigating and expounding the properties of the measure called “duration.†Two properties claimed for duration are (1) that it is a good indicator of the average life of a payments stream and (2) that it measures the elasticity of the present value of such a stream with respect to the discount rate. Unfortunately the theoretical justifications of the second, more important, property have been based upon the analysis of either a change in a discount rate constant for all future time periods, or, more generally, a parallel shift in the term structure of interest rates.

Suggested Citation

  • Cooper, I. A., 1977. "Asset Values, Interest-Rate Changes, and Duration," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(5), pages 701-723, December.
    • Handle: RePEc:cup:jfinqa:v:12:y:1977:i:05:p:701-723_02
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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. 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.
    3. 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: Lawrence R. Klein (ed.), Long-run Growth and Short-run Stabilization, chapter 9, Edward Elgar Publishing.
    4. 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.
    5. R. B. Vinter & H. Zheng, 2003. "Some Finance Problems Solved with Nonsmooth Optimization Techniques," Journal of Optimization Theory and Applications, Springer, vol. 119(1), pages 1-18, October.
    6. Victor Lapshin, 2021. "Immunizing a Marked-to-Model Obligation with Marked-to-Market Financial Instruments," HSE Working papers WP BRP 84/FE/2021, National Research University Higher School of Economics.
    7. 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).
    8. Joel Barber & Mark Copper, 2006. "Arbitrage opportunities and immunization," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 30(1), pages 133-139, March.
    9. Gong, Pu & He, Xubiao, 2005. "A risk hedging strategy under the nonparallel-shift yield curve," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 354(C), pages 450-462.
    10. Joel Barber & Mark Copper, 1998. "Bond immunization for additive interest rate shocks," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 22(2), pages 77-84, June.
    11. Almeida, Caio & Lund, Bruno, 2014. "Immunization of Fixed-Income Portfolios Using an Exponential Parametric Model," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 34(2), November.
    12. 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.
    13. 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.
    14. Victor Lapshin, 2019. "A Nonparametric Approach to Bond Portfolio Immunization," Mathematics, MDPI, vol. 7(11), pages 1-12, November.

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