Description: This paper examines the history and current problems of the Pension Benefit Guaranty Corporation PBGC. From The Future of Pension Plan Funding and Disclosure Monograph, M-RS05-1.

Description: People naturally observe risk in the form of the range of experienced gains and losses which is usually represented in statistical terms by standard deviation. In most cases, there are not enough observed values to reliably discern the true amount of losses that are possible in extreme situations. Statistical techniques that have long been applied to insurance company risks are being used to extrapolate from observed risk to extreme tails of the distribution of gains and losses. These processes are essentially an extrapolation from the “known” risk of volatility near the mean to “unknown” risk of extreme losses. “Fat tails” is a term often applied to risks where the likely losses in rare situations significantly exceeds the predictions of a Gaussian (“thin tailed”) distribution. This paper will look at the relationship between the observed risk and the extreme risk in statistical insurance r isk models and discuss how we might create a discussion among model users about the appropriateness of that relationship for specific types of risks.

Description: Property and casualty insurers face risks in many key areas, such as operations, natural catastrophes and underwriting. Among the underwriting risks is the potential financial impact of adverse loss reserves development.This paper illustrates a model of loss reserve risk that will incorporate how risk evolves over time at annual time horizons.

Description: This paper, first published in 1982 in the Transactions of Society of Actuaries, Vol. 34, discusses the phenomenon of durational antiselection, a commonly observed steady and seemingly irreversible increase in loss ratios on mature blocks of individual health insurance policies. The author, William F. Bluhm, constructs a model to explain the deterioration of loss ratios over time, and to quantify the cumulative antiselection effect. This paper was awarded the 1980-82 Triennial Prize. The paper includes written discussion and the author’s review of discussion.

Description: Non-consequentiality is quite consequential for the claims made for the applicability of Risk Theory RT to decision problems that are not transparently tactical or wholly instrumental. On the negative side, RT is not normative or even a complete heuristic in such contexts. The author takes strong exception to the common tendencies, A to link risk theory with welfarism and versions of utilitarianism, and B to claim that with or without but especially with such linkage RT is normative in both moral and rational analysis, choice and action.

Description: A European call option pricing model similar to the Black-Scholes equation [1] is derived. Like the Black-Scholes equation, the model is based upon an assumption of a lognormal distribution of the price of a risky, non-dividend-paying security at a given point in the future. However, unlike Black-Scholes, the market's risk preference is recognized through a parameter that permits refinement of the model to agree either with experience or with future advances in the underlying theory.

Description: This paper considers the ERM problem as an adaptation and stability problem of complex system development. The basic approach of W. Ross Ashby and its development by S. Beer are applied. The author advances the cybernetic functional feedback model as applied to the integrated ERM structural mechanism. Such formulation of the ERM problems seems promising to correctly detail and structurally integrate the various issues, including operational and financial systems linkage, key adaptation parameter of time and its different periods, optimal activity and others.

Description: Demography is a very exciting subject. With a simple mathematical model, students can project a country's population forward 25, 59, 75 even 100 years. This paper will focus on six ideas from demography. They all can be useful to an actuary, yet none of them would be considered at any length if the actuary didn’t study demography.

Description: This paper examines actuarial pension models and the methodologies those models offer, and introduces a new liability concept that eliminates certain inconsistencies that exist in the models. From Current Pension Actuarial Practice in Light of Financial Economics Symposium, M-RS04-1.

Description: The author constructed the efficient frontier of new business sales by modeling the embedded value and economic capital against a universe of possible growth rates of the three lines of business in a typical three-year planning horizon. The ERM function can use the efficient frontier of new business to provide a more rigorous analysis of the impact of growth rates on the firm’s overall capital efficiency and value creation, hence forming a feedback loop with the businesses in the planning process to optimize the growth strategy.