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On the Relation which should obtain between the Amount assured upon Lives and the Sum reserved at the Expiration of Given Terms to meet it

Published online by Cambridge University Press:  18 August 2016

Extract

The method of valuation once so universal—viz., that by means of tables of annuities involving the rates of premium charged—is now, I believe, admitted on all hands to be erroneous, and is, so far as I can learn, pretty generally abandoned. I have on more than one occasion endeavoured to demonstrate the fallaciousness of that method, and it is therefore needless again to draw attention to the peculiar consequences resulting from it; more especially as the great majority of the Companies now estimate their liabilities, as most actuaries agree that they should do, with the aid of tables based upon rates of interest and mortality approximating as closely as possible to those which observation and experience have shown to be the actually prevailing ones.

Type
Research Article
Copyright
Copyright © Institute and Faculty of Actuaries 1855

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References

page 100 note * For let the premium charged, as originally constructed, consist of p'+ Φ, then it is evident that the adoption of either or both the alternatives mentioned will have the effect of increasing p', say, to p' + p; and is consequently diminished to Φ –π, where may be any quantity greater or less than Φ.

page 104 note * These are the mean values in respect of assurances effected at each quinquennial interval from 25 to 55 inclusive.