Description: An excerpt from a presentation at the 2014 Living to 100 Symposium, this article describes an open-source model for use by actuaries attempting to estimate future health benefit costs, discusses its strengths and limitations, and projects that spending for those age over 65 will take more than $13 trillion by 2055, about 50 percent of total medical expenditures.

Description: It is well accepted that, for ages 30 and above, human mortality rates increase with age, yet no established graduation method makes direct use of this knowledge. Such a method is offered in this paper.

Description: This paper by John Mereu describes a method for mathematically computing the expected loss under a group life contract in excess of a stated limit. The paper also shows how to compute the variance and standard deviation of the stop-loss claim and suggests how the method can be extended to group insurance benefits where the claim amount per certificate is not fixed. Paper is followed by discussions from several people

Description: Recognizing an opportunity to help serve its members in this age of increased financial oversight, the Health Section of the Society of Actuaries commissioned a series of guides on the use of statistical techniques specifically geared for the work of health actuaries. The first guide in the series titled, 'Statistical Methods for Health Actuaries - IBNR Estimates: An Introduction,' is about the calculation of incurred but not reported [IBNR] health claims reserves. In particular, the guide focuses on the development of confidence intervals around IBNR estimates. This is an Excel workbook created to demonstrate the techniques discussed in the guide.

Description: In Volume LXXV of the Proceedings there appeared a paper entitled Risk Loads for Insurers by Feldblum. Confidence intervals for the betas in TABLE 4 [Profit Margins and Their Standard Deviations by Line of Business] of this paper can be generated using the assumption of underlying normal distributions. However, bootstrapping operational or not for interval estimates does not require the normality assumption. The method of operational bootstrapping does not use random numbers. The method for the 4-dimensional case, used to generate the interval estimates in the current paper, is a natural generalization of the bivariate case. I use operational bootstrapping to generate interval estimates for Betas shown in the TABLE 5.

Description: The Cauchy integral formula is applied to derive various results on divided differences.

Description: A discussion of alternative meanings to “Best” in best estimate. When one is trying to estimate a result that is normally distributed, the mean, median and mode will all equal one another. However if the results are not normally distributed, different variance metrics will result in different “best” estimates. When different parts of a financial statement use different criteria for measuring best estimates and different processes for handling variances, the results can be volatile, unpredictable and perhaps unreasonable.

Description: This is a discussion of the paper, Frequency Distribution of Mortality Costs by John M. Boermeester, which used a series of random numbers to estimate variables under study.

Description: This abstract describes a paper that develops a method to estimate the two parameters of the discrete stable distribution.