Description: This paper presents discrete interpolation formulas, specifically a new method of deriving some existing formulas. The paper uses graduation theory in the interpolation method. Also include is a discussion of the paper. From Transactions of Society of Actuaries 1949, Vol. 1, No. 1.

Description: In this paper two theorems concerning the optimality of the perfect-fit and perfect-smoothness graduations are proved. Two examples are presented and some difficulties with regard to computational feasibility are reviewed. A discussion of the paper follows. From Transactions of Society of Actuaries 1978, Vol. 30.

Description: In estimating mortality rates from the experience of a life insurance company or employee-benefit plan, it is expedient, because of the movement into and out of the covered group on dates other than birthdays or policy anniversaries, to make some assumption about mortality over a fractional part of a year of age. This paper describes and develops the concept of 'exposure' with regard to the more commonly known methods of estimating the rate of mortality, and proposes a fourth methodology. From the Actuarial Research Clearing House 1978, Vol.2.

Description: In general, a complete annuity of one per annum may be defined as a curtate annuity of one per annum with an additional final payment, made a fraction of a year after the last payment of one, representing the accrued portion of the succeeding payment not yet due. This paper explores the relationships which occur if compound interest is used instead of simple interest to calculate the final partial payment.

Description: This is a discussion of the paper, 'Payment of Reserve in Addition to Face Amount' by Paul W. Nowlin and T. N. E. Greville, which discussed a method for determining the level premium for such coverage. This discussion applies risk theory to the insurance discussed in the paper.

Description: This is a discussion of the paper, Actuarial Note: Reserves by Different Mortality Tables by Harry Gershenson. From Transactions of Society of Actuaries 1951, Vol. 3, No. 7.