Closed-form expressions to Gompertz-Makeham life expectancies: a historical note

Authors

DOI:

https://doi.org/10.20947/S0102-3098a0220

Keywords:

Gompertz-Makeham mortality law, Life expectancy, Actuarial science, Annuities, Frailty, Gamma-Gompertz model

Abstract

Results well known in the actuarial community about closed-form expressions to Gompertz and Gompertz-Makeham life expectancies for a person aged x are still being independently rediscovered to this day. This note seeks to acknowledge previous results about closed-form expressions to Gompertz-Makeham life expectancies, especially in the actuarial science field, hoping to stimulate interdisciplinarity and provide the background for further developments, especially since the derivation of closed-form expressions for life expectancy (and annuities) based on particular mortality laws are matters of interest for multiple fields such as actuarial science, biology, demography, statistics among others.

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Author Biography

Filipe Costa de Souza, Universidade Federal de Pernambuco (UFPE), Recife-PE, Brazil

Filipe Costa de Souza holds a PhD in Economics from Universidade Federal de Pernambuco (UFPE) and he is currently a professor at the Departamento de Ciências Contábeis e Atuariais, also at UFPE.

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Published

2022-11-21

How to Cite

Souza, F. C. de. (2022). Closed-form expressions to Gompertz-Makeham life expectancies: a historical note. Brazilian Journal of Population Studies, 39, 1–12. https://doi.org/10.20947/S0102-3098a0220

Issue

Vol. 39 (2022)

Section

Techinical Note

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