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Hedging Mortality/Longevity Risks for Multiple Years

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  • Tzuling Lin
  • Cary Chi-Liang Tsai

Abstract

In this article, we develop strategies of hedging multiyear mortality (longevity) risk for a life insurer (an annuity provider) through purchasing some mortality-linked securities from a financial intermediary. Under the multiyear hedges for a life insurer (an annuity provider) involving two uncertain factors—the mortality rate and the number of life insureds (annuity recipients)—we derive closed-form formulas for the optimal units of purchasing underlying mortality-linked securities. Numerical illustrations show that the downside risk of loss because of mortality (longevity) risk for the life insurer (annuity provider) can be significantly hedged by purchasing the optimal units of mortality-linked securities, and the sample risk can be reduced by increasing the number of life insureds (annuity recipients) at issue. For a financial intermediary, adopting an optimal weight of a portfolio of life and annuity business can reduce extreme losses from the longevity risk but could slightly increase losses from the mortality risk, and the sample risk cannot necessarily be eliminated by increasing the number of life insureds/annuity recipients at issue.

Suggested Citation

  • Tzuling Lin & Cary Chi-Liang Tsai, 2020. "Hedging Mortality/Longevity Risks for Multiple Years," North American Actuarial Journal, Taylor & Francis Journals, vol. 24(1), pages 118-140, January.
    • Handle: RePEc:taf:uaajxx:v:24:y:2020:i:1:p:118-140
    DOI: 10.1080/10920277.2019.1625789
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    Cited by:

    1. Blake, David & Cairns, Andrew J.G., 2021. "Longevity risk and capital markets: The 2019-20 update," Insurance: Mathematics and Economics, Elsevier, vol. 99(C), pages 395-439.

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