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A New Stochastic Duration Based on the Vasicek and CIR Term Structure Theories

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  • Xueping Wu

Abstract

The stochastic duration based on the Vasicek and CIR models is theoretically superior to Macaulay’s duration. However, empirical tests on bond immunization performance have so far failed to show its superiority. Within the one‐factor framework, this paper proposes to use a longer zero‐curve yield instead of the original instantaneous interest rate as a proxy for the relevant risk source(s). We prove that the new duration becomes larger, increasing with bond maturity, than the original duration. Bond immunization using Belgian data shows that the new duration definitely beats the original duration and can in some cases outperform Macaulay’s duration.

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  • Xueping Wu, 2000. "A New Stochastic Duration Based on the Vasicek and CIR Term Structure Theories," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 27(7‐8), pages 911-932, September.
    • Handle: RePEc:bla:jbfnac:v:27:y:2000:i:7-8:p:911-932
    DOI: 10.1111/1468-5957.00339
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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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).
    6. Nowak, Piotr & Romaniuk, Maciej, 2013. "Pricing and simulations of catastrophe bonds," Insurance: Mathematics and Economics, Elsevier, vol. 52(1), pages 18-28.

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