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On a Table of Coefficients arising out of a given Mortality Table, for Finding Annuity-Values at any Rate of Interest that may be required

Published online by Cambridge University Press:  18 August 2016

Thomas J. Searle
Thomas J. Searle
Affiliation:
Employers' Liability Assurance Corporation, Limited.
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Extract

I have long had an idea that the ordinary formula for the value of an annuity,

might be transformed into some such form as the following:

where the coefficients would represent the condensed effect of the mortality, and the powers of i would make the calculation easy and rapidly convergent. I have lately succeeded in making the proposed transformation.

Type
Research Article
Information
Journal of the Institute of Actuaries , Volume 28 , Issue 3 , January 1890 , pp. 192 - 218
Copyright
Copyright © Institute and Faculty of Actuaries 1890

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References

page 216 note * Mr. Noel Humphreys' Table, which is referred to by Mr. King, can only be looked upon as an approximation to the English Life Table No. 4. The final table appears in the Supplement to the 45th Report of the Registrar-General, pp. vii, viii, and will shortly be reprinted in the Journal,—Ed. J.I.A.