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A benchmarking approach to optimal asset allocation for insurers and pension funds

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  • Lim, Andrew E.B.
  • Wong, Bernard
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    Abstract

    We solve the optimal asset allocation problem for an insurer or pension fund by using a benchmarking approach. Under this approach the objective is an increasing function of the relative performance of the asset portfolio compared to a benchmark. The benchmark can be, for example, a function of an insurer's liability payments, or the (either contractual or target) payments of a pension fund. The benchmarking approach tolerates but progressively penalizes shortfalls, while at the same time progressively rewards outperformance. Working in a general, possibly non-Markovian setting, a solution to the optimization problem is presented, providing insights into the impact of benchmarking on the resulting optimal portfolio. We further illustrate the results with a detailed example involving an option based benchmark of particular interest to insurers and pension funds, and present closed form solutions.

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    Bibliographic Info

    Article provided by Elsevier in its journal Insurance: Mathematics and Economics.

    Volume (Year): 46 (2010)
    Issue (Month): 2 (April)
    Pages: 317-327

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    Handle: RePEc:eee:insuma:v:46:y:2010:i:2:p:317-327

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    Web page: http://www.elsevier.com/locate/inca/505554

    Related research

    Keywords: Asset-liability management Portfolio optimization Benchmarking;

    References

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    Cited by:
    1. Jan Baldeaux & Man Chung Fung & Katja Ignatieva & Eckhard Platen, 2014. "A Hybrid Model for Pricing and Hedging of Long Dated Bonds," Research Paper Series 343, Quantitative Finance Research Centre, University of Technology, Sydney.

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