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Annuities certain at linearly decreasing rates of interest

Published online by Cambridge University Press:  11 August 2014

R. E. Beard
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Extract

The problem considered by Mr E. M. Thomas on pp. 253-4 of J.S.S. Vol. VII can be approached analytically as follows:

Consider the ratio where and

. This is a function of h and may be expanded in a Taylor series

The first term on the right-hand side is unity and it is easy to show that the second term is

where v = (I + i)−1.

Type
Research Article
Information
Journal of the Staple Inn Actuarial Society , Volume 8 , Issue 3 , January 1949 , pp. 186 - 189
Copyright
Copyright © Institute of Actuaries Students' Society 1949

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