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Time-consistent longevity hedging with long-range dependence

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  • Wang, Ling
  • Wong, Hoi Ying

Abstract

Longevity securitization enables insurers to manage longevity or mortality risk in the life market. Recent empirical studies identify long-range dependence (LRD) in mortality rates using life tables, which casts doubt on the adequacy of Markovian models for actuarial pricing and risk management. This paper derives the first time-consistent mean–variance longevity hedging strategy for insurers using a stochastic mortality model with LRD. We adopt the open-loop equilibrium control framework and derive an analytical solution to the hedging strategy. Our numerical examples show the relevance of LRD to longevity hedging and the cost of ignoring it.

Suggested Citation

  • Wang, Ling & Wong, Hoi Ying, 2021. "Time-consistent longevity hedging with long-range dependence," Insurance: Mathematics and Economics, Elsevier, vol. 99(C), pages 25-41.
    • Handle: RePEc:eee:insuma:v:99:y:2021:i:c:p:25-41
    DOI: 10.1016/j.insmatheco.2021.03.004
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    References listed on IDEAS

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    2. Ling Wang & Mei Choi Chiu & Hoi Ying Wong, 2021. "Time-consistent mean-variance reinsurance-investment problem with long-range dependent mortality rate," Papers 2112.06602, arXiv.org.

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