Dynamic tonuity: Adapting retirement benefits to a changing environment

Abstract The tonuity, proposed by Chen et al . ((2019) ASTIN Bulletin: The Journal of the IAA , 49 (1), 530.), is a combination of an immediate tontine and a deferred annuity. However, its switching time from tontine to annuity is fixed at the moment the contract is closed, possibly becoming sub-optimal if mortality changes over time. This article introduces an alternative tonuity product, wherein a dynamic switching condition is pivotal, relying on the observable mortality trends within a reference population. The switching from tontine to annuity then occurs automatically once the condition is satisfied. Using data from the Human Mortality Database and UK Continuous Mortality Investigation, we demonstrate that, in a changing environment, where an unforeseen mortality or longevity shock leads to an unexpected increase or decrease in mortality rates, the proposed dynamic tonuity contract can be preferable to the regular tonuity contract.

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Publication Details

Journal
Astin Bulletin
Published
2025-03-05
DOI
https://doi.org/10.1017/asb.2025.5
Primary Topic
Insurance, Mortality, Demography, Risk Management
Type
article
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article

Dynamic tonuity: Adapting retirement benefits to a changing environment

Manuel Rach, Yusha Chen, An Chen
Astin Bulletin
Insurance, Mortality, Demography, Risk Management
article

Dynamic tonuity: Adapting retirement benefits to a changing environment

Manuel Rach, Yusha Chen, An Chen
article en

Abstract

Abstract The tonuity, proposed by Chen et al . ((2019) ASTIN Bulletin: The Journal of the IAA , 49 (1), 530.), is a combination of an immediate tontine and a deferred annuity. However, its switching time from tontine to annuity is fixed at the moment the contract is closed, possibly becoming sub-optimal if mortality changes over time. This article introduces an alternative tonuity product, wherein a dynamic switching condition is pivotal, relying on the observable mortality trends within a reference population. The switching from tontine to annuity then occurs automatically once the condition is satisfied. Using data from the Human Mortality Database and UK Continuous Mortality Investigation, we demonstrate that, in a changing environment, where an unforeseen mortality or longevity shock leads to an unexpected increase or decrease in mortality rates, the proposed dynamic tonuity contract can be preferable to the regular tonuity contract.

Astin BulletinVol. 55(2)
University of St.Gallen (CH), Southwestern University of Finance and Economics (CN)
Good health and well-being
Openalex Percentile: Top 93%
Insurance, Mortality, Demography, Risk Management
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Dynamic tonuity: Adapting retirement benefits to a changing environment — Manuel Rach, Yusha Chen, et al. · Astin Bulletin (2025) | TGRS Research Map | TGRS