Description: The purpose of this paper is to illustrate the method of Lagrange multipliers complete with simple examples. The author suggests that this methodology is ideally suited to the investigation of minimum variance plans. From the Actuarial Research Clearing House 1987 Vol. 1.

Description: This paper addresses the autoregressive model and shows that the boundedness restriction can be removed from the basic result on the probability of ruin. From Actuarial Research Clearing House 1991, VOL. 1.

Description: This is the abstract of a paper that derives expressions for the moments of the distribution of the option payoff in a Black Scholes economy. These results are of interest from a purely statistical viewpoint. They may also be of interest given the current importance of value at risk calculations. The paper also derives formulae for the moments of barrier options and provides numerical examples.

Description: This is the abstract of an article about the classical Lundberg inequality of insurance risk theory. From ACTUARIAL RESEARCH CLEARING HOUSE 1994 VOL. 1.

Description: This paper shows that Balucci hypothesis imposed on a survivorship function over a closed interval is dual to the uniform distribution of deaths hypothesis imposed on the survivorship function over the same interval.

Description: This model arose from a project to evaluate the cost of a health care access' program to provide comprehensive medical care to uninsureds in Minnesota, for the Minnesota Health Care Access Commission. The project was to provide estimates of the impact on per-person and aggregate costs for various participation percentages in the access program. In order to evaluate those costs, the antiselection model described in this was developed. Of note, this was the ACTUARIAL EDUCATION AND RESEARCH FUND 1991 PRACTITIONERS AWARD WINNER. From Actuarial Research Clearing House 1991, VOL. 2.

Description: This Fellowship credit research paper describes the use of fuzzy sets applications to the selection of group health risks. In general, fuzzy set theory is implemented to describe collections of objects whose boundaries are not precisely defined, as in the judgment of what constitutes a good risk group. First, single-plan underwriting is considered, then the work is extended to multiple-option plans.

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.