Description: The article provides a complete and rigorous analysis based on calculus for the topics in the theory of compound interest: the monotone convergence properties of the rates of interest and discount payable m times per interest conversion period in relation to the force of interest, the monotone convergence properties of the present value and accumulated value of an ordinary annuity with m payments per interest conversion period in relation to those of a continuously paying ordinary annuity and a method for approximating the present value of an ordinary annuity, or an increasing annuity with m payments per interest conversion period, by accumulating, at compound interest for the fraction m - l/2m of an interest conversion period, the present value of the same type of annuity with one payment per interest conversion period.

Description: This is an abstract of the paper A Second Order SDE for the Force of Interest. In this paper, the author models the force of interest by a linear second order stochastic differential equation.

Description: This paper studies how changes in the fractions of various groups of individuals, the survival probabilities of various types and the attitudes towards risks of the customers affect the equilibrium price of annuity contracts. From the Actuarial Research Clearing House ARCH 1989 Vol. 2.

Description: This paper investigates the use of models of dependent mortality for determining annuity values. We discuss a broad class of parametric models using a bivariate survivorship function called a copula. Using data from a large insurance company to illustrate our methods, we calculate maximum likelihood estimates to calibrate the rnodel.

Description: Discusses notation deficiencies.

Description: In a recent Society of Actuaries' regional meeting, there was a discussion on an age-old actuarial problem. Within the same company, should the return on equity ROE target vary by profit center depending upon the risk of the profit center? For example, should company management demand a different ROE from the Group Health line than from the Ordinary Life line?

Description: This paper presents a new approach for pricing insurance contracts. The approach is based both on economic and probabilistic arguments. The novel property of this paper is that the pricing argument is based on two factors determining the insurer's expected profit: the first one is the net revenue from selling insurance contracts and the second is the possible loss due to insolvency. From the Actuarial Research Clearing House ARCH 1997 Vol. 1.