Description: Discusses notation deficiencies.

Description: This paper highlights how the estimation procedure works in regards to annuities, including immediate life annuities.

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 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: Many seniors who own houses in the United States have most of their wealth in their houses. Home Equity Conversion Mortgages are designed to allow seniors to borrow money against their house. This paper describes a stochastic simulation approach used to estimate the amount of a level-payment annuity payable as long as the senior is alive and living in his/her home. From Actuarial Research Clearing House 1990, VOL. 2.

Description: The paper is an individual risk theoretical examination of annuities for the aged. Through retirement systems, social security and insurance plans, annuities for the aged are a very significant matter and are worthy of inquiry. From the Actuarial Research Clearing House 1992 Vol. 2.

Description: We give some recursive formulas involving life annuities.

Description: This paper introduces the symbolic valuation, a stochastic valuation which allows flexible interest rate and cash flow assumptions, and provides an illustration which values a simple SPDA product. From Actuarial Research Clearing House 1992, Vol. 1.

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: At retirement, people face a choice between annuitization and self-management of liquid wealth [also called self-annuitization]. A common belief is that annuitization provides longevity insurance at the cost of liquidity. This paper argues that the desire for liquidity is actually driven by bequest motives and estate value should be the measure on the liquidity of a given strategy. The authors demonstrate that self-annuitization give more estate within a critical duration [before life expectancy] while annuitization creates more estate after that. In their second result, they compute the expected ending estate at death under these two strategies and find that, on average, annuitization creates more estate than self-annuitization under reasonable assumptions. They conclude that, as long as the same fund is being used for these two strategies, annuitization and self-annuitization just create different patterns of estates over time. However, annuitization is usually better than self-annuitization for estate creation and liquidity, on average. This is somewhat counter-intuitive to popular belief because payout annuities without a certain period do not have cash surrender values. The creation of the balance stream and the results shown in this paper have important implications on new product and marketing strategies for payout annuities.