Description: This paper develops explicit relationships connecting these reserve bases, and, in the course of this development, derives several new and interesting actuarial relationships, all of which can be generalized to the case of monthly premium payment computations. Followed by a discussion paper submitted

Description: This is the discussion of the paper by J. Alan Lauer that develops the apportionate basis for the immediate payment of claims as an alternative to continuous functions. A new function, the apportionable annuity due, is defined and derived and formulas for net premiums and terminal reserves on the apportionable basis are developed. Then an investigation is made of the relationship of net premiums and terminal reserves on the apportionable basis to the corresponding functions on the continuous functions basis.

Description: This paper develops the apportionate basis for the immediate payment of claims as an alternative to continuous functions. A new function, the apportionable annuity due, is defined and derived and formulas for net premiums and terminal reserves on the apportionable basis are developed. Then an investigation is made of the relationship of net premiums and terminal reserves on the apportionable basis to the corresponding functions on the continuous functions basis.