Description: In this paper we discuss some properties of the nth stop-loss order and their application in risk premium principles. We give a necessary condition and a sufficient condition for nth stop-loss orders. They are convenient tools to construct risk pairs with nth stop-loss orders. We show that exponential premium principles can diferentiate between losses more finely than the net premium principles under some conditions.

Description: Under non-Aristotelian logic, there are multiple values, or shades of gray. Indeed, there may even be unexpected results from logical combinations, like “both” and “neither.” This article discusses how this insight should be applied to the current debate between formula-driven reserves with limited assumption flexibility and the reserve principles approach. For reserve standards, we do need both actuarial judgment grounded in reserving principles and restrictive formula methods or safe harbors.

Description: This paper discusses the binominal financial and insurance models. In addition, the paper expands the discussion to the martingale probabilities measures for insurances, annuities, endowment insurances, and equity-linked products.

Description: This article examines how parameter uncertainty leads to uncertainty in Value at Risk VaR estimates. Lacking a closed form solution, we use a first order approximation of VaR to map parameter changes into changes in the VaR value. When the asymptotic distribution of parameter estimates is normal, this implies a normal approximation of the confidence interval about VaR. We describe this approximation in detail and explore some extensions to risk factor modeling.

Description: The author summarizes the content of a seminar entitled “Integrated Approaches to Risk Management in the Financial Services Industry,” including a description of the papers presented.

Description: The article discusses C1 risks in five areas: 1 the economics of risk, 2 portfolio optimization, 3 policy, 4 risk interaction and 5 institutional aspects of C1 risk.

Description: Read the February 2017 issue of Risks and Rewards published by the Investment Section.

Description: Research report describing the results of an Emerging Risks Survey conducted in November 2008. Emerging risks can be thought of from two perspectives: completely new risks that have never been seen before, and risks that are evolving in unexpected ways.

Description: This article deals with enterprise risk management and how the techniques contained within the discipline can help prevent unforeseen large mistakes in strategy, product design, and product management

Description: Investment Fallacies: Simulation of Long-Term Stock Returns: Fat-Tails and Mean Reversion