Description: This note is labeled actuarial because it deals extensively with the force of interest, a concept which is characteristically of concern to the actuarial community. The authors’ personal point of view is that we should modify the basic definition of the compound interest.

Description: This paper presents a new insight into the mathematical structure of asset share-type calculations. Asset shares are interpreted as accumulations of insurance cash flows, which along with their related investment income, are treated as Stieltjes integrals. From Transactions of Society of Actuaries 1978, Vol. 30.