Description: In this paper an algorithm is derived for computing the distribution of aggregate claims for the individual risk theory model. From Transactions of Society of Actuaries 1983, Vol. 35.

Description: This report introduces quantum computing to actuaries. In addition, this research will assess and identify areas in the insurance field where quantum computing can make a difference, accompanied with suggested algorithms.

Description: Under Yaari's dual theory of risk, this paper determines the equilibrium separating contracts for high and low risks in a competitive insurance market, in which risks are defined only by their expected losses, that is, a high risk is a risk that has a greater expected loss than a low risk. The authors also determine the pooling equilibrium contract when insurers are assumed non-myopic. Utility theory generally predicts that optimal insurance indemnity payments are nonlinear functions of the underlying loss due to the nonlinearity of agents' utility functions. Under Yaari's dual theory, the authors show that under mild technical conditions the indemnity payment is a piecewise linear function of the loss, a common property of insurance coverages.

Description: This paper reviews the applications of operations research methods in the insurance industry. From Transactions of Society of Actuaries 1995, Vol. 47.

Description: This paper presents formulas for the L-Function and shows this function has applications in computing survival rates free from the influence of a given cause of death.

Description: In this paper a method is described for pricing - and reserving for- return of premium benefits under disability income policies. Followed by a discussion paper

Description: Multiple decrement theory traditionally is based on the assumption that competing causes of decrement are stochastically independent even though this assumption is usually not true in reality. This paper presents some fundamental results towards a dependent decrement theory. First, the author shows how to model dependence with copula functions, then he presents a theorem that characterizes the mathematical relationship between the crude and net probabilities when the decrements are dependent, and finally he applies the results by examining the effect of removing cancer from the United States population when cancer is correlated with the other causes of death. From Actuarial Research Clearing House 1994, VOL. 1.

Description: This research report is a summary of an online survey and follow-up discussions with survey respondents on the current state of actuarial modeling controls within U. S. and Canadian life insurance and annuity companies. The current state was then compared to the results from the 2012 survey on this topic to examine the evolution in actuarial model controls and governance. The report also provides an industry assessment and proposes considerations for enhancing the current state towards a well-controlled governance framework.

Description: The analysis presented is based on several standard but nonelementary theorems of mathematical statistics.

Description: This paper identifies several implicit assumptions underlying the use of the lognormal distribution for modeling the periodic change in the interest rate of a given maturity, tests those assumptions against historical interest rates, and presents additional information from those tests. A discussion of the paper follows. From Transactions of Society of Actuaries 1991, Vol. 43.