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Bond immunization for additive interest rate shocks

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  • Joel Barber
  • Mark Copper

Abstract

This paper explores bond immunization for additive term structure models. This class of term structures contains many models that are commonly used in the duration and immunization literature. We establish the necessary and sufficient conditions for immunization and prove the existence of a bond portfolio that satisfies the immunization condition. Based upon the immunization condition, we develop a general definition of duration that applies to any additives term structure model. Copyright Springer 1998

Suggested Citation

  • 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.
    • Handle: RePEc:spr:jecfin:v:22:y:1998:i:2:p:77-84
    DOI: 10.1007/BF02771478
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    References listed on IDEAS

    as
    1. 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.
    2. Fong, H Gifford & Vasicek, Oldrich A, 1984. "A Risk Minimizing Strategy for Portfolio Immunization," Journal of Finance, American Finance Association, vol. 39(5), pages 1541-1546, December.
    3. Khang, Chulsoon, 1979. "Bond Immunization When Short-Term Interest Rates Fluctuate More Than Long-Term Rates," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 14(5), pages 1085-1090, December.
    4. Bierwag, G. O., 1977. "Immunization, Duration, and the Term Structure of Interest Rates," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(5), pages 725-742, December.
    5. Fisher, Lawrence & Weil, Roman L, 1971. "Coping with the Risk of Interest-Rate Fluctuations: Returns to Bondholders from Naive and Optimal Strategies," The Journal of Business, University of Chicago Press, vol. 44(4), pages 408-431, October.
    6. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1979. "Duration and the Measurement of Basis Risk," The Journal of Business, University of Chicago Press, vol. 52(1), pages 51-61, January.
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    Citations

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    Cited by:

    1. Ivan Popchev & Irina Radeva, 2004. "Bonds Portfolio Management: Analysis and Application of the Model of Multiperiod Immunization," Economic Thought journal, Bulgarian Academy of Sciences - Economic Research Institute, issue 4, pages 28-43.
    2. Cláudia Simões & Luís Oliveira & Jorge M. Bravo, 2021. "Immunization Strategies for Funding Multiple Inflation-Linked Retirement Income Benefits," Risks, MDPI, vol. 9(4), pages 1-28, March.
    3. 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.

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