Concerning life annuities
历史与综述
2007-05-23 v2 概率论
摘要
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.
引用
@article{arxiv.math/0502421,
title = {Concerning life annuities},
author = {Leonhard Euler},
journal= {arXiv preprint arXiv:math/0502421},
year = {2007}
}
备注
9 pages, English translation of ``Sur les rentes viageres'', Memoires de l'academie des sciences de Berlin 16 (1767), 165-175