Description: This paper presents a statistical and mathematical method to calculate Stop-Loss Premiums. It also includes a discussion of the paper. From Transactions of Society of Actuaries 1976, Vol. 28.

Description: Tree models have been found to provide a good fit to group long term disability recovery and mortality rates. This research paper provides an overview of tree models, and details how they have been used for developing these rates.

Description: This paper studies a smoothing spline Poisson regression model for the analysis of mortality data. From Actuarial Research Clearing House 2006, Vol. 1.

Description: In this paper, Bivariate Schuette graduation is applied to mortality rates among black male retired workers [Social Security data] at ages 70 to 83. Graduated values for various choices of the parameters are compared. The Schuette method is also adapted to calculate regression quantiles, providing upper and lower envelopes for the graduated values.

Description: This paper describes how Markov chain Monte Carlo and related methods recently presented in the statistical literature can be used to quickly and efficiently simulate random draws from distributions with log-concave or nearly log-concave densities. From Transactions of Society of Actuaries 1995, Vol. 47.

Description: U.K. life insurers writing participating business are required by the Financial Services Authority to value their assets and liabilities on a market-consistent basis. The purpose of this paper is to: • Explain the valuation approach based on market-consistent values and its rationale. • Set out the issues faced by life insurers in implementing the regime. • Explain how insurers addressed these issues. • Explain the importance of the modeling techniques they used.

Description: This paper explores the use of linear programming as a tool to guide policyholders in getting the most value out of their combined insurance and investment programs. Concentrating on flexible premium universal life within the tax environment of the United States, several linear programming models are developed that can be used at the point of sale, to select the most cost effective policy from those available in the marketplace, and after issue to maximize the present value of future cash flows on the policy of an insured who is in ill-health. From Actuarial Research Clearing House 1991, VOL. 3.

Description: This paper studies the joint distribution of the time of ruin, the surplus immediately before ruin, and the deficit at ruin. The classical model is generalized by discounting with respect to the time of ruin. The authors show how to calculate an expected discounted penalty, which is due at ruin, and may depend on the deficit at ruin and the surplus immediately before ruin.

Description: Authored by a MIB Solutions team of Tom Rhodes, Stuart Klugman, Marianne Purushotham and Stacy Gill, the report summarizes the results of a study on the application and adoption of credibility theory within the life insurance and annuity industry. In addition to the report, numerical examples related to the application of credibility to company mortality and lapse data are provided in the four Excel files. This excel spreadsheet is a numerical example relating to the application of Credibility for lapses by policy for limited fluctuation. Please see the SOA website research section for the full report on Credibility Theory Practices.

Description: This paper derives a formula for approximating the ruin function of collective risk theory. Use of the ruin function to determine the amount of initial capital needed for a new line of business is discussed. From Transactions of Society of Actuaries 1969, Vol. 21, Pt. 1, No. 59 AB.