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On the pricing of longevity-linked securities

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  • Bauer, Daniel
  • Börger, Matthias
  • Ruß, Jochen
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    Abstract

    For annuity providers, longevity risk, i.e. the risk that future mortality trends differ from those anticipated, constitutes an important risk factor. In order to manage this risk, new financial products, so-called longevity derivatives, may be needed, even though a first attempt to issue a longevity bond in 2004 was not successful. While different methods of how to price such securities have been proposed in recent literature, no consensus has been reached. This paper reviews, compares and comments on these different approaches. In particular, we use data from the United Kingdom to derive prices for the proposed first longevity bond and an alternative security design based on the different methods.

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    Bibliographic Info

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

    Volume (Year): 46 (2010)
    Issue (Month): 1 (February)
    Pages: 139-149

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    Handle: RePEc:eee:insuma:v:46:y:2010:i:1:p:139-149

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

    Related research

    Keywords: Longevity risk Stochastic mortality Longevity derivatives;

    References

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    Cited by:
    1. Chen, Bingzheng & Zhang, Lihong & Zhao, Lin, 2010. "On the robustness of longevity risk pricing," Insurance: Mathematics and Economics, Elsevier, vol. 47(3), pages 358-373, December.
    2. De Waegenaere, A.M.B. & Melenberg, B. & Stevens, R., 2010. "Longevity risk," Open Access publications from Tilburg University urn:nbn:nl:ui:12-4578387, Tilburg University.
      • Anja De Waegenaere & Bertrand Melenberg & Ralph Stevens, 2010. "Longevity Risk," De Economist, Springer, vol. 158(2), pages 151-192, June.
    3. Hainaut, Donatien, 2012. "Multidimensional Lee–Carter model with switching mortality processes," Insurance: Mathematics and Economics, Elsevier, vol. 50(2), pages 236-246.
    4. Blake, David & Brockett, Patrick & Cox, Samuel & MacMinn, Richard, 2011. "Longevity risk and capital markets: The 2009-2010 update," MPRA Paper 28868, University Library of Munich, Germany.
    5. Hua Chen & Michael Sherris & Tao Sun & Wenge Zhu, 2013. "Living With Ambiguity: Pricing Mortality-Linked Securities With Smooth Ambiguity Preferences," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 80(3), pages 705-732, 09.
    6. Shen, Yang & Siu, Tak Kuen, 2013. "Longevity bond pricing under stochastic interest rate and mortality with regime-switching," Insurance: Mathematics and Economics, Elsevier, vol. 52(1), pages 114-123.
    7. Blackburn, Craig & Sherris, Michael, 2013. "Consistent dynamic affine mortality models for longevity risk applications," Insurance: Mathematics and Economics, Elsevier, vol. 53(1), pages 64-73.
    8. Helena Aro & Teemu Pennanen, 2013. "Liability-driven investment in longevity risk management," Papers 1307.8261, arXiv.org.

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