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Liability-driven investment: multiple liabilities and the question of the number of moments

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  • Michael Theobald
  • Peter Yallup

Abstract

The selection of investments held in dedicated pension or insurance asset portfolios should be liability-driven. Techniques have been developed to hedge or immunize single liabilities from the effects of a variety of yield curve changes. In this paper, we extend these results to a more relevant practical problem, to immunize multiple liabilities occurring at different times in the future. This immunization approach can accommodate a variety of non-parallel yield curve behaviours. In a practical application, we demonstrate that our approach is effective in selecting index tracking portfolios in the UK Gilt (government bond) market.

Suggested Citation

  • Michael Theobald & Peter Yallup, 2010. "Liability-driven investment: multiple liabilities and the question of the number of moments," The European Journal of Finance, Taylor & Francis Journals, vol. 16(5), pages 413-435.
    • Handle: RePEc:taf:eurjfi:v:16:y:2010:i:5:p:413-435
    DOI: 10.1080/13518470903211681
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    References listed on IDEAS

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    1. 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.
    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. Ronn, Ehud I., 1987. "A New Linear Programming Approach to Bond Portfolio Management," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 22(4), pages 439-466, December.
    4. 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.
    5. David Heath & Robert Jarrow & Andrew Morton, 2008. "Bond Pricing And The Term Structure Of Interest Rates: A New Methodology For Contingent Claims Valuation," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 13, pages 277-305, World Scientific Publishing Co. Pte. Ltd..
    6. Bierwag, G. O. & Kaufman, George G. & Khang, Chulsoon, 1978. "Duration and Bond Portfolio Analysis: An Overview," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 13(4), pages 671-681, November.
    7. Elton, Edwin J & Gruber, Martin J & Michaely, Roni, 1990. "The Structure of Spot Rates and Immunization," Journal of Finance, American Finance Association, vol. 45(2), pages 629-642, June.
    8. 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.
    9. 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(1), pages 89-104, March.
    10. Bierwag, Gerald O. & Fooladi, Iraj & Roberts, Gordon S., 1993. "Designing an immunized portfolio: Is M-squared the key?," Journal of Banking & Finance, Elsevier, vol. 17(6), pages 1147-1170, December.
    11. Prisman, Eliezer Z. & Shores, Marilyn R., 1988. "Duration measures for specific term structure estimations and applications to bond portfolio immunization," Journal of Banking & Finance, Elsevier, vol. 12(3), pages 493-504, September.
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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. Julio Cezar Soares Silva & Adiel Teixeira de Almeida Filho, 2023. "A systematic literature review on solution approaches for the index tracking problem in the last decade," Papers 2306.01660, arXiv.org, revised Jun 2023.

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