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Actuarial values calculated using the incomplete Gamma function

Author

Listed:
  • Giovanni Mingari Scarpello

    (Facoltà di Economia -Libera Università di Bolzano)

  • Daniele Ritelli

    (Dipartimento di matematica per le scienze economiche e sociali -Università di Bologna)

  • Dario Spelta

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.

Suggested Citation

  • Giovanni Mingari Scarpello & Daniele Ritelli & Dario Spelta, 2006. "Actuarial values calculated using the incomplete Gamma function," Statistica, Department of Statistics, University of Bologna, vol. 66(1), pages 77-84.
  • Handle: RePEc:bot:rivsta:v:66:y:2006:i:1:p:77-84
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