Description: This article investigates the properties of the Gompertz distribution function. Explicit formulas for continuous life insurances and annuities are given in terms of the left-truncated gamma function. Moreover, approximations for the mean, variance, skewness and kurtosis of the Gompertz distribution are also given. Finally, the article shows that using a Gompertz assumption at fractional ages produces better a approximation than the usual UDD assumption.

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 mortality. Please see the SOA website research section for the complete report on Credibility Theory Practices.

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: 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 mortality. Please see the SOA website research section for the complete report on Credibility Theory Practices.

Description: The standard deviation of the present value of benefits of portfolios of identical insurance contracts are examined when both the mortality and the force of interest are stochastic. Several models for the force of interest are presented. The impact of the different stochastic models for the force of interest and of different parameters on the mortality risk and the interest risk is investigated. From Actuarial Research Clearing House 1994, VOL. 1.

Description: This article is the first in a series of articles on insurance applicant mortality risk analytics. From Small Talk Newsletter, Issue 37, January 2012.

Description: 1996 Valuation Actuary Symposium. Topics discussed in this session included developing an approach to quantifying C-3 risk and exploring ways to improve the C-3 component of the NAIC RBC formula.

Description: This paper suggests a new model for the distribution of deaths between two adjacent integral ages which addresses existing discontinuities. Application of the model is shown and compared with the existing three popular models. From Actuarial Research Clearing House 1994, Vol. 2.

Description: Six methods are presented for calculating the probability of ultimate ruin where the waiting times between claims are independent and identically distributed. Three of the six use Monte Carlo techniques. From Actuarial Research Clearing House 1993, VOL. 1

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.