Description: This paper develops a general approach to actuarial calculations in applications that can be modeled as multi-state processes. Such situations arise when benefits are payable upon a change in the status of the insured or while the insured maintains a given status. From the Transactions of Society of Actuaries 1994, Vol. 46.

Description: This paper presents a parsimonious 11-parameter model that explains the pattern of mortality for the female and male mortality rates of the 1975–80 Select and Ultimate Basic Tables. This parametric model is useful because it can predict the select mortality rates beyond the 15-year select period and because it can predict the select rates for issue ages greater than 70 years old. From the Transactions of Society of Actuaries 1994, Vol. 46.

Description: Traditional pension cost methods are based on the actuarial present value of future benefits [which is a mean value]. As a consequence, these cost methods are deficient because they cannot provide plan sponsors with certain valuable information such as the probability that the accumulation of a particular sequence of contributions will ultimately provide sufficient funds to pay benefits, or the size of fund needed to ensure that retirees' lifetime benefits are paid with a specified probability. In response to these deficiencies, a new family of cost methods, called a-percentile cost methods, is developed. These cost methods are based on the probability of adequately covering all participants' benefits. Expressions for the normal cost, the accrued liability and the gain are provided. From Transactions of Society of Actuaries 1993, Vol. 45.

Description: The authors set forth a generalized model describing the application of current law [1976 NAIC model Standard Valuation Law and Standard Nonforfeiture Law] to products of the universal life type. Includes discussion and author’s review of discussion. From Transactions of Society of Actuaries 1983 Volume 35.

Description: This paper is from Transactions of Society of Actuaries 1955 Volume 7, Number 17. The author notes that in mortality studies the ‘natural’ unit for exposures and deaths is number of lives, but often more insight is gained by use of other weights, such as face amount. In this paper, the author develops a method which, ‘by a combination of exposed to risk formulas, provides a comparatively simple procedure to permit consideration of weights which vary during the observation period.’

Description: The administrators of Social Security offset-type defined benefit plans commonly encounter two difficulties when attempting to calculate the Primary Insurance Amount 'PIA' offset. The first difficulty is in obtaining the Social Security earnings history. The second difficulty is in performing the calculation itself. This paper explores the possibility of substituting a variant of the employee's final average salary for his or her Social Security Average Indexed Monthly Earnings 'AIME'. The acceptability of this substitution is then critiqued with illustrations. From Transactions of Society of Actuaries 1980, Vol. 32.

Description: In March this year a charter for the new corporation, the College Retirement Equities Fund, was granted by the State of New York and it is expected that within a few months the Fund will begin operations as a supplement to TIAA annuities. The purpose of this paper is to describe this rather novel type of corporation, which presents some unusual and interesting actuarial problems. Comparisons of the performance of fixed annuities vs. variable annuities are provided.

Description: The basic principle introduced in this paper is that the expected value of receipts on any insurance policy is equal to the expected value of payouts. Using an expected value approach, rather than present values, offers an interesting conceptual framework which might provide a possible starting point in risk theory to consider statistical variation about these expected values.

Description: Discusses a method to construct an endowment plan which provides for a maturity value greater than face by treating the paid up amount as the sum insured whenever it exceeds face. The formulas for premiums, cash values and amount of insurance are provided.

Description: It is well accepted that, for ages 30 and above, human mortality rates increase with age, yet no established graduation method makes direct use of this knowledge. Such a method is offered in this paper.