Using the Gompertz Distribution to Explore the Impact of Increasing Life Expectancy on the Old-Age Dependency Ratio
Peter Pflaumer ()
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Peter Pflaumer: Technical University of Dortmund, Department of Statistics
A chapter in Mathematical and Statistical Methods for Actuarial Sciences and Finance, 2024, pp 255-260 from Springer
Abstract:
Abstract The old-age dependency ratios are indicators of the number of el-derly people who are generally economically inactive compared to the number of people of working age. They significantly affect the financial burden of social public pension schemes, making it essential to analyze the influence of mortality on this ratio. In this paper, the Gompertz model is used to investigate the effect of mortality and fertility on the old-age dependency ratio, with a focus on the impact of changes in life expectancy. Elasticity formulas are derived to analyze this effect, and the results indicate that an increase in life expectancy leads to a considerable rise in the old-age dependency ratio.
Keywords: Actuarial Models; Gompertz Distribution; Social Security; Life Table (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_42
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DOI: 10.1007/978-3-031-64273-9_42
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