Description: The projection methods used by the Social Security Administration's Office of the Chief Actuary are important. The resulting projections are cited regularly by policy-makers, academics and others interested in the long-term financial solvency of the OASDI system. However, a complete description of this projection methodology that is vital for serious policy discussions is not available to the general public. This summary was constructed in connection with the Social Security Advisory Board's 1999 Technical Panel on Methods and Assumptions. A goal of the Methods and Modeling working group of the Technical Panel was to 'work to ensure that the projection methods used by the Office of the Chief Actuary become more public.' From Actuarial Research Clearing House 2000, Vol. 1.

Description: This paper discusses some powerful uses of recursive functions, including: 1. Universal life, both for the calculation of target premiums and reserves. 2. Paid-up Rider. Recursive functions can directly determine a premium that precisely matures the rider. 3. Traditional Whole Life. Reserves can be efficiently calculated when needed instead of referring to a table of stored factors. From Actuarial Research Clearing House 1993, VOL. 3.

Description: Addresses Scheel's proposal for splitting life insurance between its savings and death benefit elements in order to reduce total variance of the risk. This paper refutes Scheel's proposition.

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.

Description: One of the most important problems in Finance is the valuation of financial securities written on underlying assets whose prices are subject to uncertainty. This paper presents a technique to estimate the unknown stochastic volatilities by solving the inverse problem associated with the parabolic partial differential equation governing risk neutral derivative security prices. This technique can be applied in a very general multi-factor setting and numerical examples are provided.

Description: The study is based on a sample of actuarial reports attached to the form 550C3, Schedule B, which were sent to the Department of Labor during the period June 1976 to May 1977.

Description: The subject of this paper is a financial model for pension planning purposes. The focus of the model is from an individual's point of view with the idea to assist him/her in planning for a financially secure retirement income. The model is dynamic and stochastic, operates in nominal and real terms, and goes beyond the age of retirement. From Actuarial Research Clearing House 1981, Vol. 1.

Description: This article discusses some 'standard' methods of foreign expansions. Strategic decisions for expansion in foreign countries require more than qualitative discussions about foreign expansion. It requires hard numbers on the benefits of such strategic expansion plans and is illustrated here with the example of MetLife's 2002 purchase of Ahisa [Aseguradora Hidalgo]. With that purchase, more than 70% of the Mexican insurance market is in the hand of foreign companies.

Description: Private defined benefit pension plans must, by law, pre-fund the retirement benefits. This requires the periodic valuation of liabilities and calculation of contributions. Because valuation assumptions are seldom borne out by reality, a surplus [or deficit] ensues and varies over time. When the surplus becomes sizable, there often arises a desire to distribute part of it so as to bring it down to a more reasonable level. This paper provides a brief overview of cooperative game theory and, in particular, sharing rules. Then, using certain sharing rules, it determines how to split the surplus or deficit among the plan participants and sponsor. In general, the participant's share in the surplus depends on the total of his contributions. Other considerations, such as the actual investment income received on his contributions or the years of service, may influence the distribution of the surplus. It may even appear desirable to take account of the accrued liability. From Actuarial Research Clearing House 1998, Vol. 1.

Description: This paper examines four and-a-half years of prescription records for an elderly population who have relatively comprehensive out-of-hospital drug coverage under the Pharmaceutical Assistance Contract for the Elderly program in Pennsylvania. The result is a discussion of the determination of non-parametric estimations of the distributions. From Actuarial Research Clearing House 1991, Vol 1.