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: Development of a formula for the continuous annuity ax:n| in terms of the Makeham parameters A, B, and c, and the force of interest. Followed by several discussion papers submitted