Every Church of Ireland clergyman whose stipend is payable through the Representative Church Body (the body in whom the funds of the Church were vested at its dis-establishment) must become, and is designated, a compulsory member of its Widows’ and Orphans’ Fund, which was founded in 1876. If the member be unmarried and not more than 35 years of age at date of entry he is charged the normal subscription of £6 per annum, payable quarterly; while, if he be married or aged more than 35 years at date of entry, he must pay such subscription as the Board of the Fund, by the advice of its actuary, may determine.

The underlying idea of this paper is the valuation of the sum assured (S) in groups of t years by multiplying the total sum by a tabulated function α and by a tabulated β.

The present Note deals with a modification of the method described in vol. li, pp. 118-126.

The method suggested in the original Note necessitated the finding of the values of the first, second and third continuous summations of the data to be valued. These summations in some cases were laborious, and the object of the present contribution is to demonstrate how the arithmetical work can be curtailed without material loss of accuracy, firstly, by reducing the number of continuous summations, and secondly, by summing in quinary groups instead of by individual terms.