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Dynamic asset liability management with tolerance for limited shortfalls

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  • Detemple, Jérôme
  • Rindisbacher, Marcel

Abstract

A dynamic asset allocation problem in the presence of liabilities is considered. The fund manager has von Neumann-Morgenstern preferences with terminal utility function defined over the excess of liquid wealth over a minimum liability coverage tolerated and intermediate utility function defined over dividends, the excess of expenditures over liability cash flows. Preferences incorporate a parameter controlling the tolerance for a shortfall in the funding ratio at the terminal date. The optimal asset allocation rule is derived and its sensitivity with respect to the parameters of the model is analyzed.

Suggested Citation

  • Detemple, Jérôme & Rindisbacher, Marcel, 2008. "Dynamic asset liability management with tolerance for limited shortfalls," Insurance: Mathematics and Economics, Elsevier, vol. 43(3), pages 281-294, December.
    • Handle: RePEc:eee:insuma:v:43:y:2008:i:3:p:281-294
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    References listed on IDEAS

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    1. Cairns, Andrew J.G. & Blake, David & Dowd, Kevin, 2006. "Stochastic lifestyling: Optimal dynamic asset allocation for defined contribution pension plans," Journal of Economic Dynamics and Control, Elsevier, vol. 30(5), pages 843-877, May.
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    1. Gülpinar, Nalan & Pachamanova, Dessislava, 2013. "A robust optimization approach to asset-liability management under time-varying investment opportunities," Journal of Banking & Finance, Elsevier, vol. 37(6), pages 2031-2041.
    2. Maurer, Raimond & Mitchell, Olivia S. & Rogalla, Ralph, 2009. "Managing contribution and capital market risk in a funded public defined benefit plan: Impact of CVaR cost constraints," Insurance: Mathematics and Economics, Elsevier, vol. 45(1), pages 25-34, August.
    3. Francisco Rivadeneyra & Oumar Dissou, 2011. "A Model of the EFA Liabilities," Discussion Papers 11-11, Bank of Canada.
    4. Andrew Ang & Bingxu Chen & Suresh Sundaresan, 2013. "Liability Investment with Downside Risk," NBER Working Papers 19030, National Bureau of Economic Research, Inc.
    5. Cousin, Areski & Jiao, Ying & Robert, Christian Y. & Zerbib, Olivier David, 2016. "Asset allocation strategies in the presence of liability constraints," Insurance: Mathematics and Economics, Elsevier, vol. 70(C), pages 327-338.
    6. Florian Bourgey & Emmanuel Gobet & Ying Jiao, 2022. "Bridging socioeconomic pathways of CO2 emission and credit risk," Post-Print hal-03458299, HAL.
    7. Bilel Jarraya & Abdelfettah Bouri, 2013. "A Theoretical Assessment on Optimal Asset Allocations in Insurance Industry," International Journal of Finance & Banking Studies, Center for the Strategic Studies in Business and Finance, vol. 2(4), pages 30-44, October.
    8. Chul Jang & Andrew Clare & Iqbal Owadally, 2024. "Liability-driven investment for pension funds: stochastic optimization with real assets," Risk Management, Palgrave Macmillan, vol. 26(3), pages 1-32, September.
    9. Mantilla-Garcia, Daniel & Martellini, Lionel & Garcia-Huitrón, Manuel E. & Martinez-Carrasco, Miguel A., 2024. "Back to the funding ratio! Addressing the duration puzzle and retirement income risk of defined contribution pension plans," Journal of Banking & Finance, Elsevier, vol. 159(C).
    10. repec:hal:wpaper:hal-03458299 is not listed on IDEAS
    11. Xavier Warin, 2016. "The Asset Liability Management problem of a nuclear operator : a numerical stochastic optimization approach," Papers 1611.04877, arXiv.org.
    12. Lim, Andrew E.B. & Wong, Bernard, 2010. "A benchmarking approach to optimal asset allocation for insurers and pension funds," Insurance: Mathematics and Economics, Elsevier, vol. 46(2), pages 317-327, April.
    13. Delong, Lukasz, 2010. "An optimal investment strategy for a stream of liabilities generated by a step process in a financial market driven by a Lévy process," Insurance: Mathematics and Economics, Elsevier, vol. 47(3), pages 278-293, December.
    14. Ying Jiao & Olivier Klopfenstein & Peter Tankov, 2013. "Hedging under multiple risk constraints," Papers 1309.5094, arXiv.org.
    15. Artem Dyachenko & Patrick Ley & Marc Oliver Rieger & Alexander F. Wagner, 2022. "The asset allocation of defined benefit pension plans: the role of sponsor contributions," Journal of Asset Management, Palgrave Macmillan, vol. 23(5), pages 376-389, September.
    16. Zvi Bodie & Jérôme Detemple & Marcel Rindisbacher, 2009. "Life-Cycle Finance and the Design of Pension Plans," Annual Review of Financial Economics, Annual Reviews, vol. 1(1), pages 249-286, November.
    17. Ying Jiao & Olivier Klopfenstein & Peter Tankov, 2017. "Hedging under multiple risk constraints," Finance and Stochastics, Springer, vol. 21(2), pages 361-396, April.

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