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On the Rule for finding the Value of an Annuity on Three Lives

Published online by Cambridge University Press:  18 August 2016

Augustus De Morgan*
Affiliation:
Mathematics in University College

Extract

The rule which was given by Thomas Simpson for finding the value of an annuity on three lives is as follows:—let A, B, and C be the three lives, and let K be a single life, the annuity on which is equal to an annuity on the joint lives of B and C; then the value of an annuity on the joint lives of A and K is the required annuity on the joint lives of A, B, and C. The life A should be the youngest of the three.

Type
Research Article
Copyright
Copyright © Institute and Faculty of Actuaries 1863

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