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On Certain Methods of Valuation

Published online by Cambridge University Press:  18 August 2016

W. T. Gray*
Affiliation:
The General Reversionary and Investment Company

Extract

The proper method of estimating the liabilities of an office under its policies, is a question of so much importance that numerous essays on the subject have at various times been contributed to the pages of the Journal by some of the most eminent members of the Institute, whilst Mr. Manly, in his Messenger Prize Essay, and Mr. Valentine in his extension of the same, and more recently Mr. Geo. King, in his paper in vol. xx of the Journal, have furnished us with valuable information as to the financial results arrived at by the employment of different data in valuations. The subject has been so extensively treated in these papers, that I should not have ventured to refer to it again, but for the employment recently in some quarters of a method of valuation producing certain anomalies hitherto but little noticed in the pages of the Journal, and I therefore beg to submit for the consideration of its readers the results of an investigation showing the effects of the use of that method on the reserves and profits of an office.

Type
Research Article
Copyright
Copyright © Institute and Faculty of Actuaries 1878

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References

page 314 note * This investigation was commenced before Part I (vol. xix) of Mr. Geo. King's paper had appeared, and the greater part of the following calculations was completed before his “model” in Part II was published; otherwise I should not have thought it worth while to offer another, as the facilities for comparing the effect of employing different methods and data in valuations are thereby to some extent reduced.

page 323 note * This manner of stating the rate of interest is in accordance with Messrs. Malcolm and Hamilton's Report to the Board of Trade, but the same results would be arrived at by assuming an effective rate of 4·6036 per-cent on the amount of funds at the beginning of the year, and a half year's interest at the same rate on the balance of premium income over total outgo.