Description: Statistical properties of interest, annuity and insurance functions are examined when mortality and interest are treated as having a random component. Several special models of interest rate fluctuation are examined in detail. It is hoped that such theory will be useful in developing fluctuation reserves and premium margins. Presented at the 13th Annual Actuarial Research Conference, Ball State University, August 31st. September lst, 2nd. 1978.

Description: The theory underlying the Moving Weighted Average graduation method is restated in the language of linear algebra which provides for an enrichment of the family of formulas. A comparison of the results of applying six members of the family to 100 simulated data sets is provided.

Description: In this paper we shall present our results in terms of the estimation of human mortality rates, but the results carry over to other applications. We shall discuss a Bayesian model that encompasses both graduation [smoothing] and prediction.

Description: Because mortality tables are generally tabulated at yearly intervals actuaries frequently must make assumptions about intermediate values in developing formulas for insurance and annuity functions. This paper examines the effect on insurance and annuity formulas of assuming Mx+t to be linear within each interval.

Description: Provides an in-depth review of Canadian occupational mortality and morbidity - disability - experience. This includes population and insured data up to 1981.

Description: The differences between select and ultimate insurance mortality are usually explained in terms of: 1. deterioration of a person's physical condition which occurs due to aging, and 2. anti-selection which occurs as some policyholders allow their coverage to lapse [i.e., those policyholders who find their health has become poor keep their coverage, while those who remain healthy discontinue their insurance]. This paper explores the differences in mortality between companies related to the differences in lapse rates of the companies.

Description: This is the abstract of the referenced paper which studies the mortality of left-handed baseball players versus that of right-handed players by examining the times and ages of death of more than 6,000 players who died before 1990. From Actuarial Research Clearing House 1994, VOL. 1.

Description: The objectives of this paper are to determine the extent to which Makeham's or Gompertz's laws describe recent insurance and population mortality analyze how the constants in the two laws vary with respect to some factors and propose a simple extension to Makeham's law to account for recent departures from the laws, related to difference in sex. Presented at Actuarial Research Conference at Ball State University, September 1, 1978

Description: In this paper the author proposes a proof for new formulas that derive exposure formulas of the valuation-schedule type on the basis of the Balducci assumption. In addition he provides a short cut for the coefficients of the terms involving deaths. Then he derives a general exposure formula of the valuation-schedule type that may be used for all mortality studies with an observation period covering an integral number of consecutive years. From ACTUARIAL RESEARCH CLEARING HOUSE, 1980 VOL. 2.

Description: This paper reviews data from the accident study for years 1930-1935 to see if there are any relationships between disabled worker mortality and standard mortality that might endure to the present. From the Actuarial Research Clearing House ARCH 1990 Vol. 1.