Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-12-01T01:00:47.570Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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.