Description: Quantitative operational risk assessment is essentially based on stochastic scenario modeling of operational loss sequences. Given the lack of reliable historical data in most cases, mathematical methods should meet even stronger requirements in terms of results received and include specific features, namely: rare event analysis, uncertainty analysis and human factor analysis, etc. In this paper, the analytical-statistical simulation approach ASSA is considered as the most flexible approach to stochastic scenario loss sequence modeling and compared with Markov chain, fault/event tree and Monte Carlo, in terms of scenario loss sequence model adequacy and calculation cost. Probabilistic risk analysis software PRAISE and some applications are given. Presented at 2010 Enterprise Risk Management Symposium, Society of Actuaries, April 12-15, 2010.

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: A Towers Perrin proposal for pension funding reform discussed at the Future of Pension Plan Funding and Disclosure Symposium, held July 14-15, 2005, Washington, DC.

Description: The Strategic Risk Register System SRRS is proposed by the authors as a new approach to modeling and visualizing the interconnectivity of risks in an ERM context. SRRS has been successfully applied in practice, and a case study is deployed to demonstrate the methodology.

Description: This study presents a new framework which can measure integrated marked risk and credit risk for portfolios consisting of various assets through continuous time horizons. In a simulation, the study shows that asset type, initial rating, time horizon and asset return distribution assumptions are all significant factors to influence the portfolio value distributions and hence the integrated VaRs. From 2007 Enterprise Risk Management Symposium, M-AS07-1.

Description: This is a sequel to author's earlier paper on Installment Premiums. This paper explores the parallel case of apportionable premiums, another situation in which a special adjustment payment at death causes an otherwise somewhat complex policy to be identical with a more simple and familiar one. As with installment premiums, this will result in terminal reserves for the complex policy being exactly equal to those for its corresponding familiar policy.

Description: This paper thoroughly describes risk premium calculation based on an insurance portfolio consisting of policies risks insured over a finite time interval.

Description: In the present paper, we propose and investigate a numerical method of computing the probability distribution of S. Inversion of the Laplace transform moment generating function is shown to be a better approach than the existing recursive method for find the distribution of sum of several independent random variables. In the continuous case, in many situations, numerical inversion needs to be used to compute the probability distribution function of the sum.

Description: This paper addresses the stochastic modeling for managing asset liability process. We start with developing a jump-diffusion process for evaluating of the liabilities of the insurance company in general. We then formulate the ALM process into a stochastic control problem. With this approach, we present a Bel|man-Dreyfus Fundamental type formula for ALM process in terms of the solution of a system of algebraic equations and partial differential equations.

Description: This paper, originally published in 1992 in the Transactions of Society of Actuaries Vol. 44, deals with a topic that is becoming increasingly important to actuaries in most fields of practice. “Without relying on formulas, this paper presents the important concepts underlying the theory of arbitrage-free pricing of interest-rate-contingent cash flows.” This paper, by James A. Tilley, won the 1992-93 Annual Prize, and the Halmstad Prize for 1992. The paper includes written discussion and the author’s review of the discussions.