Description: This is a study on the Nesbitt formula and the variants to this formula.

Description: This paper represents a brief progress report on research, being sponsored by the Casualty Actuarial Society CAS and the Society of Actuaries SOA, in the area of modeling of economic series. In particular, research is being undertaken to provide a foundation for the actuarial community’s modeling of a variety of economic variables, including interest rates, equity returns, inflation, unemployment rates, and real estate price levels. The specific objectives of this research are to provide a summary of the literature in the area of economic scenario modeling, identify data sources and methodologies in this area useful to the actuarial profession, and produce working software for economic modeling, including appropriate documentation, to be made available to the general actuarial community in order to allow actuaries to use and build upon this research.

Description: It has been twenty years since DeWit 1982 first applied fuzzy logic FL to insurance. That article sought to quantify the fuzziness in underwriting. Since then, the universe of discourse has expanded considerably and now the FL methodologies include used fuzzy set theory, fuzzy numbers and fuzzy arithmetic, fuzzy inference systems, fuzzy clustering algorithms, fuzzy linear programming, fuzzy regression, and hybrids involving other soft computing technologies. This article presents an overview of these studies.

Description: Discussion of the insurance purchase decision for corporations, using an ALM perspective of utilizing insurance to maximize the net present value of cash inflows minus out flows. Also discusses how ALM concepts can be used to value a corporation, using discounted values of cash inflows minus outflows and the risks the corporation faces with respect to the amounts or timing of those cash flows. From Asset-Liability Integration, M-FI02-1.

Description: Fraud is often a dynamic and challenging problem in credit card lending business. Supervised modeling/segmentation techniques are commonly used in fraud detection to distinguish risky transactions from non-risky transactions. However, these techniques frequently rely on identifying risky behavior at a global level. In this paper, along with the classical approach, a new technique has been studied to improve the behavioral fraud detection capability. The application of this proposed technique enables us to identify risky behavior at the account level.

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: In this Chapter we present a novel way for estimating aggregated EC figures based on Bayesian copula estimation. Contrary to the classic approach of using a single inter-risk- correlation matrix we derive a probability distribution of possible correlation matrices that enables us to tackle the important issue of parameter uncertainty. Presented at 2010 Enterprise Risk Management Symposium, Society of Actuaries, April 12-15, 2010.

Description: We consider a class of compound renewal risk process with claim waiting times have a discrete Km distribution. The classical compound binomial risk model is a special case when m = 1. Both recursive and explicit formulas are derived for the expected discounted penalty function due at ruin, for the surplus before ruin and the deficit at ruin. Many ruin related quantities can be analyzed through the penalty function, e.g., ruin probability, the p.g.f. of the time of ruin, joint and marginal distributions of the surplus before ruin and the deficit at ruin, claim causing ruin, as well as their moments. Detailed discussions are given in two special cases: claim sizes are rationally distributed, or the claim sizes distribution have a finite support.

Description: This paper examines concepts from both financial economic and actuarial science as applied to defined benefit schemes using a simple discounted cash-flow framework as a reference point. From Current Pension Actuarial Practice in Light of Financial Economics Symposium, M-RS04-1.

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.