Description: The problem of finding the distribution of sums of lognormally distributed random variables is discussed. References going back to the 1930’s are given, as well as some possible solutions. A formula for the characteristic function of one lognormal is stated, and then the moments and distribution of the logarithm of sums of lognormals are considered.

Description: This presentation from the 2011 46th Actuarial Research Conference is about the Haezendonck-Goovaerts risk measure for extreme risks.

Description: This abstract describes a paper that explores the answers to the questions of: 1. How is each view of FRVs conceptualized? 2. What are the differences and similarities between the metrics for each of these views? 3. How are the metrics for these three views implemented?

Description: A recent study sheds light on the measurement and implications of the relationship between increased morbidity and declining disability. The results were not consistent across all populations. This study of the compression of morbidity is part of a wider project called the M-project, led by the four authors, which aims to explore the demographic factors leading to an increase in the adult longevity, investigate the phenomenon called the compression of mortality and develop a new methodological approach to longevity analysis with focus on the modal age at death M.

Description: The purpose of this paper is to help practitioners and regulators more accurately quantify the potential impact of market risk on insurance products with equity-linked guarantees. To this end, this paper examines time series model selection and assessment based on residuals, with a focus on regime switching models. Also it discusses the difficulties in defining residuals for such processes and propose several possible alternatives. We determine that a stochastic approach to defining the residuals is the only way to generate residuals that are normally distributed under the model hypothesis.

Description: This paper presents a policy-year model for GAAP valuation of reinsurance accepted on the coinsurance and modified coinsurance bases. Also presented are the interrelationships between the model's methodology and statutory accounting procedures, a discussion of experience-refunding situations, and a demonstration of the model's ability to yield GAAP profits as a level percentage of premium. From Transactions of Society of Actuaries 1981, Vol. 33.

Description: This paper discusses the Whittaker-Henderson graduation method. From Transactions of Society of Actuaries 1984, Vol. 36.

Description: This paper sets forth a method of estimating the present value of the cost of future nonvested commissions. It also provides a method of producing an agents' survival table. Followed by several discussion papers submitted

Description: An introduction to the field of Complexity Science. The report includes an overview of the field’s key results, detailed instructions for building Complexity Science models, examples of working models, review of practical models applicable to the work of actuaries, a literature review, and a discussion on how actuaries can apply Complexity Science in their work.