Description: This paper develops pricing theory for single premium immediate annuities using Anderson's present value of book profits method. A discussion of the paper follows regarding particpating single premium immediate annuities. From Transactions of Society of Actuaries 1979, Vol. 31.

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.