Description: Describes the construction of the CBOE's VIX index. Shows mathematically how the variance of investment returns is reflected in the price of the index. Provides a rational explanation of technical factors that lead the index to perform inconsistently with market sentiment. Highly relevant for any hedger seeking to use the VIX index.

Description: In December 2007, Goldman Sachs launched a product called QxX index swap, which is designed to allow market participants to hedge or gain exposure to longevity and mortality risks. This presentation offers a quantitative analysis of this brand new financial innovation. First of all, the presentation sets up a risk-neutral framework to price QxX index swaps. This framework, which is based on the dynamics of death rates under a two-factor stochastic mortality model in a risk-adjusted probability measure, yields prices [spreads] that are fairly close to the spreads that Goldman Sachs currently offers. The presentation then explores the uncertainty involved in this model-based pricing framework. Specifically, it studies parameter risk by using Markov Chain Monte Carlo [MCMC] and model risk by examining structural changes in mortality dynamics. The results indicate that both model risk and parameter risk are significant. Actuaries should therefore be aware of these issues when placing a value on a longevity index swap.

Description: Presentation from the Actuarial Research Conference describing risk management at a leading Canadian Bank.

Description: Discusses taxation of derivatives, as changed for some types under Dodd-Frank and not changed for others.

Description: As equity markets decline and become more volatile, the likelihood of significant guaranteed benefit claims increases, while increases from mortality and expense fees declines. The article illustrates how to use a derivative contract, a properly structured total return swap, to turn a company's uncertain M&E revenue patterns into predictable revenue.

Description: This presentation discusses a technique to reduce the bias from using Monte Carlo simulation to value American options.

Description: What is the impact of aging populations on economic growth and interest rates?” “Are low interest rates and inflation a short-term phenomenon?” “How will returns from different asset classes be impacted by future demographic trends?” “What are the differences between different countries and regions around the world?”

Description: Introduction to option pricing, with special attention to issues in applying these tools to price equity-linked insurance products. Clear, accessible explanation of key results of mathematical finance including risk-neutral valuation.

Description: Research projects in pension - Pension Risk Management: Derivatives, Fiduciary Duty and Process.

Description: In this article the author asserts that issuers of credit default swaps should hold reserves for the liabilities associated with the derivative contracts. This would significantly reduce most of the major problems associated with the trading of these instruments.