Description: By the use of resampling and extreme value statistics we will develop a method to reduce the time and costs of testing insurance company insolvency. Most ruin models require assumptions about the surplus distribution and/or assumptions about the claims count and severity distributions. The actuary may not be comfortable in making these ruin assumptions. Instead, he or she may generate such distributions by running extensive computer simulations of corporate models, I introduce a method to reduce the number of simulations necessary' to estimate the 1 and 0.1 percentiles of the surplus distribution. This approach 'cuts off' the tail at approximately the tenth percentile of the sample distribution and generates new tails for the distribution by resampling. Averages of the new order statistics approximate the I and 0.1 percentiles.

Description: This paper defines Distributable Earnings as the generalized pricing and valuation framework for financial contracts containing the requirement to hold capital or reserves in support of the obligations. It examines the Market Value paradigm and its foundation arising from the pricing of fixed income securities. It reconciles these two methods, showing that market value methods ignore mandatory capital and reserve requirements, which carry both risk and cost. The paper makes the case for the Distributable Earnings framework, not Market Value, as the true basis for economic value for these financial contracts. Finally, it concludes that this framework must be employed in risk-management processes, else fail to recognize a significant source of risk.

Description: This paper demonstrates the use of Quantile Regression in the development and understanding of conditional value at risk (VaR) models for enterprise risk management.

Description: The modern valuation manual steps up the need for actuaries to know and apply statistics. If your recall of common actuarial statistical techniques is more than one standard deviation below the mean, this session will provide the lift you need.

Description: This paper defines Distributable Earnings as the generalized pricing and valuation framework for financial contracts containing the requirement to hold capital or reserves in support of the obligations. It examines the Market Value paradigm and its foundation arising from the pricing of fixed income securities. It reconciles these two methods, showing that market value methods ignore mandatory capital and reserve requirements, which carry both risk and cost. The paper makes the case for the Distributable Earnings framework, not Market Value, as the true basis for economic value for these financial contracts. Finally, it concludes that this framework must be employed in risk-management processes, else fail to recognize a significant source of risk.

Description: Design and future maintenance of an asset portfolio backing a new line of business is critical for proper asset and liability management for that business. Most portfolio optimization methods utilize linear or quadratic programming and require the user to specify the asset and liability attributes and cash flows into the program. The programmer must also supply an objective function to allow the program to find the optimal asset mix for the associated liabilities. Two problems with this approach are that the liability cash flows are fairly static and that one must frequently rebalance the portfolio. An alternative approach would be to develop a corporate model of both the assets and liabilities and incorporate various economic scenarios as input into the model. Asset strategies would be measured against a specific objective function that is calculated by the corporate model. Unfortunately, the majority of maximization algorithms available are very time consuming, and obtaining a reasonable portfolio mix becomes impractical. This paper overcomes this difficulty by using a very rapid optimization method from the chemical engineering profession called the Floppy Triangle. The paper includes an example of the use of this process to determine an optimal portfolio. It also discusses modifications of the algorithm that is required when the shorting of assets is not permitted.

Description: Full version of Risk Management, November 2004, Issue No. 3.

Description: This paper analyzes the U. S. Treasury monthly interest rates from 1953 to 1992, and the daily rates from 1981 to 1992 for various forms of chaotic behavior. The primary analysis was in determining the Burst Exponent by the use of Rescaled Range Analysis. This paper also discusses other possible uses of Fractional Brownian Motion in Finance Theory, Macroeconomics, and Actuarial Science. From Actuarial Research Clearing House 1994 VOL. 1.