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Assessing Investment and Longevity Risks within Immediate Annuities

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  • Bauer, Daniel
  • Weber, Frederik
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    Abstract

    Life annuities provide a guaranteed income for the remainder of the recipient’s lifetime, and therefore, annuitization presents an important option when choosing an adequate investment strategy for the retirement ages. While there are numerous research articles studying annuities from a pensioner’s point of view, thus far there have been few contributions considering annuities from the provider’s perspective. In particular, to date there are no surveys of the general risks within annuity books. The present paper aims at filling this gap: Using a simulation framework, it provides a long-term analysis of the risks within annuity books. In particular, the joint impact of mortality risks and investment risks as well as their respective influences on the insurer’s financial situation are studied. The key finding is that, under the model specifications and using annuity data from the United Kingdom, the risk premium charged for aggregate mortality risk seems to be very large relative to its characteristics. Possible reasons as well as economic implications are provided, and potential caveats are discussed.

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    File URL: http://epub.ub.uni-muenchen.de/1982/1/wp2007-07.pdf
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    Bibliographic Info

    Paper provided by University of Munich, Munich School of Management in its series Discussion Papers in Business Administration with number 1982.

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    Date of creation: 2007
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    Handle: RePEc:lmu:msmdpa:1982

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    Keywords: Annuities; Lee-Carter Model; Longevity Risk;

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    1. Brouhns, Natacha & Denuit, Michel & Vermunt, Jeroen K., 2002. "A Poisson log-bilinear regression approach to the construction of projected lifetables," Insurance: Mathematics and Economics, Elsevier, vol. 31(3), pages 373-393, December.
    2. Andrew J. G. Cairns & David Blake & Kevin Dowd, 2006. "A Two-Factor Model for Stochastic Mortality with Parameter Uncertainty: Theory and Calibration," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 73(4), pages 687-718.
    3. Milevsky, Moshe A. & Young, Virginia R., 2007. "The timing of annuitization: Investment dominance and mortality risk," Insurance: Mathematics and Economics, Elsevier, vol. 40(1), pages 135-144, January.
    4. Dowd, Kevin & Cairns, Andrew J.G. & Blake, David, 2006. "Mortality-dependent financial risk measures," Insurance: Mathematics and Economics, Elsevier, vol. 38(3), pages 427-440, June.
    5. Olivia S. Mitchell & James M. Poterba & Mark J. Warshawsky, . "New Evidence on the Money's Worth of Individual Annuities," Pension Research Council Working Papers 97-9, Wharton School Pension Research Council, University of Pennsylvania.
    6. repec:nsr:niesrd:282 is not listed on IDEAS
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    Cited by:
    1. Yang, Sharon S. & Yue, Jack C. & Huang, Hong-Chih, 2010. "Modeling longevity risks using a principal component approach: A comparison with existing stochastic mortality models," Insurance: Mathematics and Economics, Elsevier, vol. 46(1), pages 254-270, February.

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