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Alternative decision models for liability-driven investment

Author

Listed:
  • Katharina Schwaiger

    (CARISMA, Brunel University)

  • Cormac Lucas
  • Gautam Mitra

Abstract

Asset and Liability Management (ALM) models have been recently recast as Liability-Driven Investment (LDI) models for making integrated financial decisions in pension schemes investment: matching and outperforming a pension plan's liabilities. LDI has become extremely popular as the decision tool of choice for pension funds. Market developments and recent accounting and regulatory changes require a pension fund to adopt a new view on their asset allocation decision. We present a generic ALM problem cast as an LDI, which we represent through a family of four decision models: a deterministic linear programming model, a two-stage stochastic programming (SP) model incorporating uncertainty, a chance-constrained SP model and an integrated chance-constrained SP model. In the deterministic model, we study the relationship between PV01 matching and the required funding. In the model, we have two sources of randomness: liabilities and interest rates. We generate interest rate scenarios using the Cox, Ingersoll and Ross model and investigate the relationship between funding requirements and minimize the absolute deviation of the present value matching of the assets and liabilities over time. In the chance-constrained programming model, we limit the number of future deficit events by introducing binary variables and a user-specified reliability level. The fourth model has integrated chance constraints, which not only limits the events of underfunding, but also the amount of underfunding relative to the liabilities. All models employ a buy-and-hold strategy in a fixed-income portfolio, whereas recourse actions are only taken in borrowing and lending.

Suggested Citation

  • Katharina Schwaiger & Cormac Lucas & Gautam Mitra, 2010. "Alternative decision models for liability-driven investment," Journal of Asset Management, Palgrave Macmillan, vol. 11(2), pages 178-193, June.
    • Handle: RePEc:pal:assmgt:v:11:y:2010:i:2:d:10.1057_jam.2010.12
    DOI: 10.1057/jam.2010.12
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    References listed on IDEAS

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    1. Robert C. Merton, 1993. "Optimal Investment Strategies for University Endowment Funds," NBER Chapters, in: Studies of Supply and Demand in Higher Education, pages 211-242, National Bureau of Economic Research, Inc.
    2. G. Consigli & M. Dempster, 1998. "Dynamic stochastic programmingfor asset-liability management," Annals of Operations Research, Springer, vol. 81(0), pages 131-162, June.
    3. Christian Valente & Gautam Mitra & Mustapha Sadki & Robert Fourer, 2009. "Extending Algebraic Modelling Languages for Stochastic Programming," INFORMS Journal on Computing, INFORMS, vol. 21(1), pages 107-122, February.
    4. E. A. Medova & J. K. Murphy & A. P. Owen & K. Rehman, 2008. "Individual asset liability management," Quantitative Finance, Taylor & Francis Journals, vol. 8(6), pages 547-560.
    5. Vlerk, Maarten H. van der, 2003. "Integrated chance constraints in an ALM model for pension funds," Research Report 03A21, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    6. Frank Fabozzi & Sergio Focardi & Caroline Jonas, 2008. "On the challenges in quantitative equity management," Quantitative Finance, Taylor & Francis Journals, vol. 8(7), pages 649-665.
    7. David R. Cariño & David H. Myers & William T. Ziemba, 1998. "Concepts, Technical Issues, and Uses of the Russell-Yasuda Kasai Financial Planning Model," Operations Research, INFORMS, vol. 46(4), pages 450-462, August.
    8. John M. Mulvey & Gordon Gould & Clive Morgan, 2000. "An Asset and Liability Management System for Towers Perrin-Tillinghast," Interfaces, INFORMS, vol. 30(1), pages 96-114, February.
    9. Frank J. Fabozzi & Sergio Focardi & Caroline Jonas, 2007. "Trends in quantitative equity management: survey results," Quantitative Finance, Taylor & Francis Journals, vol. 7(2), pages 115-122.
    10. repec:dgr:rugsom:03a21 is not listed on IDEAS
    11. M. I. Kusy & W. T. Ziemba, 1986. "A Bank Asset and Liability Management Model," Operations Research, INFORMS, vol. 34(3), pages 356-376, June.
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