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Annuities-certain at linearly decreasing rates of interest

Published online by Cambridge University Press:  11 August 2014

E. M. Thomas
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Extract

In practice it is desired occasionally to calculate the value of an annuity-certain at a rate of interest decreasing steadily from the outset. If the rate of interest for the first year is ix and decreases by h per annum throughout the term n of the annuity, the value required is

say, where

This expression is somewhat laborious to evaluate.

Type
Research Article
Information
Journal of the Staple Inn Actuarial Society , Volume 7 , Issue 4 , 1948 , pp. 253 - 254
Copyright
Copyright © Institute of Actuaries Students' Society 1948

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