Description: This paper is from Transactions of Society of Actuaries 1955 Volume 7, Number 17. The author notes that recent advances in calculating equipment make possible producing graduations much more elaborate than any done previously. The paper confines itself to the problem of graduating a single column of rates, such as an ultimate column, using a Whittaker-Henderson B graduation of the fourth order. The author provides a detailed description of the process with significant mathematical theory.

Description: The primary objective of the paper was to develop a straightforward method for constructing an interpolation formula of finite range with desired properties stipulated in advance. This paper had in view mainly the application to polynomial interpolation as used in actuarial work. Followed by 2 discussion papers submitted