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On the Retrospective Method of Valuation

Published online by Cambridge University Press:  18 August 2016

Frederick Bell
Frederick Bell
Affiliation:
Alliance Assurance Company, Limited; Actuary for the Imperial Life Assurance Fund
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Extract

The method of valuation generally adopted in practice is that known as the Prospective Method; by it, the value of a policy is obtained by a consideration of the future, and is the discounted value of the payment to be made, less the discounted value of the payments (if any) to be received; discounted, that is, in each case, for both mortality and interest.

Type
Research Article
Information
Journal of the Institute of Actuaries , Volume 39 , Issue 1 , January 1905 , pp. 17 - 117
Copyright
Copyright © Institute and Faculty of Actuaries 1905

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References

page 19 note * See note on p. 63.

page 63 note * Since this Paper was in type, my attention has been directed to a Paper by Mr. Wm, D. Whiting, published in the Transactions of the Actuarial Society of America, No. 12, p. 427, and referred to by Mr. Todhunter (J.I.A., vol. xxxv, p. 18), also to letters addressed to the Editor of the J.I.A. by Mr. Julius Altenburger, and published in the J.I.A., vol. xxxiv, p. 150, and vol. xxxv, p. 332. I had not previously seen Mr. Whiting's Paper, or probably I should not have offered this Paper to the Institute, and I am afraid I must confess that Mr. Altenburger's letters had escaped my attention.

The formulæ given by both these writers are virtually, or actually, reproduced by me, but in order that I may not be open to any possible charge of plagiarism, I desire to state categorically that I do not claim to have produced, any new formulæ I have merely drawn attention to a convenient, and, as it proves, not original, re-arrangement of what Mr. Whiting describes as “Perhaps one of the most general and comprehensive formulæ, for grouped valuations, as well as the oldest.”