Description: This paper proposes a more generalized Gerber-Shiu G-S function which contains both the G_S expected discounted penalty function and dividends paid up to ruin, as well as many others that have not been taken into consideration in the same systematic way, such as the insurer's accumulative utility, expected total discounted claim expenses, etc. The major result provides a unifying approach for all ruin-related quantities that fall in the category of the generalized GS function. From the Actuarial Research Clearing House, 2008, Vol. 1.

Description: This is the abstract of a paper that complements the existing research on optimal reinsurance by proposing another model for the determination of the optimal reinsurance design.

Description: This abstract describes a paper that introduces spatio-temporal models and methods for analysis with specific emphasis on quantities of interest in actuarial science. Generalized additive mixed models are used for the analysis of geographic and temporal variability of mortality rates.

Description: This abstract describes a paper that studies Gerber-Shiu functions and dividend payments in an insurance risk model driven by a spectrally negative Levy process of bounded variation.

Description: This is the Chronic Diseases and Longevity Risk: An Application to Type II Diabetes Insurance Products abstract authored by Hsin-Chung Wang, Jack C. Yue and Ting-Chung Chang for Session 5B of the January 13-15, 2020 Living to 100 Symposium in Orlando, Florida.

Description: This abstract describes a paper that deals with linear pricing rules and risk measures and introduces two kinds of compatibility between prices and risks.

Description: There is a large literature on claims reserving. However most of the stochastic models are too complex and end up being a black box for practitioners. They also tend to be over parameterized, which has the effect that they tend to model historical observations very accurately, but they do not necessarily perform well when predicting future claims. This paper applies a Bayesian method that was developed for forecasting very short series with stable [seasonal] patterns. It is constructed on basic Bayesian concepts and leads to very simple prediction formulas. It is then compared with several other methods as to their predictive effectiveness. In so doing, it departs from the traditional ‘triangle-shaped’ framework for development data.

Description: This is the abstract of a paper in which the authors develop sixteen separate mortality models based on the current SOA mortality data being used for the preferred life study. The models are constructed using projection pursuit regression. The sixteen models arise from all combinations of sex, smoker status, select and ultimate status, and per life vs. per dollar mortality rates. In general the models confirm the following four facts: 1 Mortality rates increase as attained age increases. 2 Mortality rates increase as duration increases. 3 Mortality rates decrease as Face Amount Bands increase. 4. Mortality rates decrease if preferred underwriting is present.

Description: Several authors have used Fourier inversion to compute prices of puts and calls, some using Parseval’s theorem. The expected value of max[S K,0] also arises in excess-of-loss of stop-loss insurance. This is the abstract of a paper that shows that Fourier methods may be used to compute them. The authors take the idea of using Parseval’s theorem further: 1. formulas requiring weaker assumptions, 2. relationship with classical inversion theorems for probability distributions, 3. formulas for pay-offs which occur in insurance. Numerical examples are provided.

Description: This abstract describes a paper that studies the optimal reinsurance problem when risk is measured by a general risk measure. It is demonstrated that there is a “stable optimal retention” that will show no sensitivity, insofar as it will solve the optimal reinsurance problem for many risk measures, thus providing a very robust reinsurance plan.