Concerning life annuities

Details Concerning life annuities Concerning life annuities

2005-02-20

arxiv.org/abs/math/0502421v2

Mathematics

History and Overview

9 pages, English translation of ``Sur les rentes viageres'', Memoires de l'academie des sciences de Berlin 16 (1767), 165-175

Scientific paper

This seems to be the first English translation of this paper from the French original, ``Sur les rentes viageres''. In the paper, Euler gives a general formula for calculating the price of a life annuity that yields a certain amount per year, assuming the annuity manager can get a 5 percent return, for people of different ages. He also gives formulas to calculate the price of annuities that only start to pay out a certain number of years after they are purchased. He gives many numerical examples, giving tables for the prices of annuities for annuitants up to 90 years old.

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