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Longevity Risk Management and the Development of a Value-Based Longevity Index

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  • Yang Chang

    (School of Risk and Actuarial Studies and CEPAR, UNSW Business School, Sydney 2052, Australia)

  • Michael Sherris

    (School of Risk and Actuarial Studies and CEPAR, UNSW Business School, Sydney 2052, Australia)

Abstract

The design and development of post-retirement income products require the assessment of longevity risk, as well as a basis for hedging these risks. Most indices for longevity risk are age-period based. We develop and assess a cohort-based value index for life insurers and pension funds to manage longevity risk. There are two innovations in the development of this index. Firstly, the underlying variables of most existing longevity indices are based on mortality experience only. The value index is based on the present value of future cash flow obligations, capturing all the risks in retirement income products. We use the index to manage both longevity risk and interest rate risk. Secondly, we capture historical dependencies between ages and cohorts with a cohort-based stochastic mortality model. We achieve this by introducing age-dependent model parameters. With our mortality model, we obtain realistic cohort correlation structures and improve the fitting performance, particularly for very old ages.

Suggested Citation

  • Yang Chang & Michael Sherris, 2018. "Longevity Risk Management and the Development of a Value-Based Longevity Index," Risks, MDPI, vol. 6(1), pages 1-20, February.
    • Handle: RePEc:gam:jrisks:v:6:y:2018:i:1:p:10-:d:131400
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    References listed on IDEAS

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    Cited by:

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    2. Georgina Onuma Kalu & Chinemerem Dennis Ikpe & Benjamin Ifeanyichukwu Oruh & Samuel Asante Gyamerah, 2020. "State Space Vasicek Model of a Longevity Bond," Papers 2011.12753, arXiv.org.

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