Description: In this paper, we derive three important longevity Greeks on the basis of an extended version of the Lee-Carter model that incorporates stochastic volatility.

Description: The purpose of this paper is to explore pension plan metrics— – measuring the behavior of a defined- benefit pension plan in an uncertain environment. Our goal is to measure and evaluate the quantitative impact of competing policy choices. We proceed by investigating some basic pension metrics, evaluating the characteristics of each using a simulated pension plan. We find that some typical metrics— – such as the mean and standard deviation— – are useful only in certain circumstances and that other less traditional measurements are sometimes better suited to evaluating policy choices.

Description: The research investigates the challenges associated with determining a “fair value” assessment for embedded options in two product types and incorporates the process into product pricing and liability valuation

Description: Presented at Living to 100 symposium, January 2002. This paper proposes a standard operating procedure for testing the Gompertz assumption using yearly age-specific mortality data, and the impacts of the data collection period and population sizes on the testing results are discussed.

Description: The abstract for the paper Property/Casualty Insurer Economic Capital Using a VaR Model.

Description: In this paper we compute the conditional and unconditional probability of ruin for an individual who wishes to consume a fixed periodic amount from an initial endowment invested in a portfolio earning a stochastic rate of return. From Retirement Needs Framework, M-RS00-1.

Description: Given the lower incidence rate, use of decision tree techniques like Classification and Regression Tree CART in understanding credit or operational risk becomes quite challenging. A commonly adopted solution is biased sampling approach, where more weights are attached to bad customers to artificially hike the incidence or bad rate. While adopting this type of biased sampling approach, question of the best weight arises. This paper adopts an iterative approach in identifying the best weight. The best weight for bankruptcy BKO profiling problem in hand occurred when the incidence rate was around 50 percent where entropy reaches its maximum.

Description: After reading the Panjer-Bellhouse paper in the Proceedings of the Ball State University Conference, I wondered whether their technique could be used when a realistic investment process was assumed. I believe that such an extension is necessary if the theory is to have any practical application I have had little success in trying to do this. I have decided to present some thoughts and to invite others with different perspectives to bring them to fruition.

Description: The conventional way to analyze grouped observations on a single variable is to construct histograms or, sometimes, fit a normal distribution. We extend this latter approach by allowing for transformations to near normality.

Description: An insurance company starts with an initial surplus, collects premium, pays claims to policyholders and pays dividends to stockholders. What remains is the following year’s surplus. The process continues. This paper describes how to calculate the distribution of surplus for any given year. With these distributions, one can make the calculations of premiums and dividends.