A Checking Process for Life Assurance Reserves

Extract

The object of this paper is to draw attention to a process of checking the accuracy of the valuation results of any financial year from the preceding year's valuation results (the attained ages as at valuation date increasing by one year) by means of the elements which connect both valuations. These elements are the interest required to maintain the reserves, the net premiums, the reserves of the policies coming in and going out during the financial year, and the expected death strain. In the appendix to this paper the checking process has been applied to the revenue account for the year ending 31st December, 1921, given in Appendix B of Mr. C. Carpmael's paper in J.S.S. Vol. II, No. 2. The determination of the profit or loss from each source has been made on two different assumptions—namely, the one adopted by Mr. Carpmael, that the income and outgo are uniformly distributed over the year allowing half-a-year's interest at valuation rate and the other adopted in the North American gain and loss exhibit of the convention edition by which no allowance is made for half-a-year's interest for the two cases in which the policies are assumed to come in and go out at the beginning of the valuation year as done by Mr. Carpmael in his paper, and in the middle of the valuation year.