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Actuarial Gains in Life Annuities Due to Declining Health: LTC

J. Iñaki De La Peña () and Asier Garayeta
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J. Iñaki De La Peña: University of the Basque Country (UPV/EHU), Faculty of Economics and Business
Asier Garayeta: University of the Basque Country (UPV/EHU), Faculty of Economics and Business

A chapter in Mathematical and Statistical Methods for Actuarial Sciences and Finance, 2024, pp 99-105 from Springer

Abstract: Abstract Life annuities are actuarial products based on technical assumptions, such as mortality. The degeneration of the human body leads, in addition to generating long-term care, to a higher mortality of the dependent than that of the general and insured population. Therefore, the period for receiving this benefit would be shorter. The aim of this paper is to determine the economic impact of the change in the beneficiary’s status when receiving this life annuity. It should be stressed that, in the life annuity, the biometric risk is borne by the insurer and that a lower payment expectancy due to the pension beneficiary’s change to dependent status entails a benefit, as this gain is not distributed to the beneficiary. A surplus is created by paying out the same benefit. Thus, the use of an appropriate mortality assumption results in a reduction of the mathematical payout provision, which frees up capital and results in a lower solvency capital requirement.

Keywords: Actuarial fairness; life annuities; Long Term Care (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-64273-9_17

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DOI: 10.1007/978-3-031-64273-9_17

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