Description: It is the purpose of this paper to demonstrate in a mathematically rigorous manner that compound interest as usually understood is uniquely given by [l+i]^t for all real t.

Description: This papers considers the effects of taxing nominal rather than real returns from short term deposits. A system for taxing real returns is developed. The possible results from a change in the method of taxation, to the one proposed in the paper are discussed. From Actuarial Research Clearing House 1991, VOL. 1.

Description: Random sum models with compound distributions are used extensively in modeling of insurance risks. Unfortunately, the compound distributions themselves are awkward to evaluate. Consequently, various numerical and analytical approximative techniques have been used. In this talk we derive various upper and lower bounds on the tails of compound distributions. Some notions in reliability theory are used.

Description: In this presentation, the authors develop a stochastic generator for the generation of scenarios of the S & P 500 index, dividend yield, consumer price index, and U.S. Treasury yields. They first create a set of 'stylized facts' for these series. These in-sample statistical models are themselves not suitable for generation of scenarios for decision making, but instead are additional stylized facts that assist in model development. The 'best' statistical model according to standard statistical model selection criteria can easily lead to a model that is highly unsuitable for generation of scenarios for decision making. The authors develop a stochastic generator that is suitable for decision making under uncertainty. From Actuarial Research Clearing House 1997, Vol. 1.

Description: This paper introduces a conjecture as to a method for estimating how much has to be added to the probability of ruin by n claims to obtain the probability of ultimate ruin. From the Actuarial Research Clearing House 1994 Vol. 2 .

Description: This paper presents a procedure for calculating aggregate stop-loss premiums that takes parameter uncertainty into account. From Actuarial Research Clearing House ARCH 1988, Vol. 3

Description: One of the most important influences on the development of an insurance market and on the development of professions, such as the actuarial profession, is the nature of regulation. This paper looks at four main economic models of regulation: 1. Market socialism, 2. Freedom with publicity, 3. Public interest, and 4. Public choice theory. The role of profession and other sophisticated products of the market order are also analysed.

Description: This paper develops a parametric model for health care insurance claims using currently available software to fit parametric models to the data. Model selection is based on the Chi-squared goodness-of-fit test and a comparison of the empirical limited expected value function to parametric limited expected value functions. From Actuarial Research Clearing House 1993, VOL. 3.

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: The purpose of this paper is to survey some new results concerning the term structure of interest rates and discuss actuarial applications. The term structure of interest rates exhibits the relationship among the yields on default free debt instruments of different maturities. Although there is a considerable volume of literature dealing with the determinants of the term structure the analysis has until recently been presented for the most part in a deterministic i.e. non- stochastic framework. This constrasts with the treatment of capital assets where equilibrium prices have been obtained under the assumption that returns on these assets are random variables.