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On the Arithmometer of M. Thomas (de Colmar), and its application to the Construction of Life Contingency Tables. (Continued from Vol. xvii page 266.)

Published online by Cambridge University Press:  18 August 2016

Peter Gray
Peter Gray*
Affiliation:
Institute of Actuaries
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Extract

Problem V.—To construct a complete table of the Values of Temporary Annuities; that is, a table which shall comprise all ages and all durations.

This benefit, being a function of the ages at commencement and cessation, say x and w (to the former of which ages also its value is referred), it will be here for convenience denoted, in accordance with the usual functional notation, by ϕ(x, w); and its duration, consequently, will be w–x=n

Type
Research Article
Information
Journal of the Institute of Actuaries , Volume 18 , Issue 1 , October 1873 , pp. 20 - 32
Copyright
Copyright © Institute and Faculty of Actuaries 1875

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References

page 22 note * See General Hannyngton's paper, already referred to, p. 252.

page 26 note * See the Institute Tables, Introduction, p. xxxv.