Actuarial values calculated using the incomplete Gamma function

Giovanni Mingari Scarpello; Daniele Ritelli; Dario Spelta

doi:10.6092/issn.1973-2201/449

Actuarial values calculated using the incomplete Gamma function

Authors

Giovanni Mingari Scarpello Libera Università di Bolzano
Facoltà di Economia
Daniele Ritelli Alma Mater Studiorum - Università di Bologna
Dipartimento di matematica per le scienze economiche e sociali
Dario Spelta Alma Mater Studiorum - Università di Bologna
Dipartimento di matematica per le scienze economiche e sociali

DOI:

https://doi.org/10.6092/issn.1973-2201/449

Abstract

The complete expectation-of-life for a person and the actuarial present value of continuous life annuities are defined by integrals. In all of them at least one of the factors is a survival function value ratio. If de Moivre’s law of mortality is chosen, such integrals can easily be evaluated; but if the Makeham survival function is adopted, they are used to be calculated numerically. For the above actuarial figures, closed form integrations are hereafter provided by means of the incomplete Gamma function.

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How to Cite

Mingari Scarpello, G., Ritelli, D., & Spelta, D. (2006). Actuarial values calculated using the incomplete Gamma function. Statistica, 66(1), 77–84. https://doi.org/10.6092/issn.1973-2201/449