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: This article explores the effectiveness of hedging delta and rho of equity options. This provides insight into the frequency and severity of losses due to not hedging volatility risk or other higher order risks. 10yr-equity put option strategies were chosen to represent the risk of hedging guaranteed benefits attached to variable annuities, while 1-yr put and call strategies were modeled to investigate the risk of hedging equity index interest credited to fixed indexed annuities. In both cases, the value of the option was compared to the value of delta/rho hedges in the tail of both actual historical and simulated scenarios for equity returns and volatilities. The historical path of interest rates and equities was generally used to highlight the hedge impact for different implied volatility assumptions in each example.

Description: Discussion of significant anomalies in option pricing due to the independent identically distributed assumption of the Black Scholes formula.

Description: Introduction to option pricing using Black-Scholes. Discussion on the limitations of Black-Scholes and of its alternatives such as Heston. Clear, accessible explanation of key results of mathematical finance including risk-neutral valuation.

Description: Proposes alternatives for estimating the long term interest returns in Indexed Universal Life products. Defends expected return of 20%-45% on hedge budgets.

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: 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: A primer on Credit Default Swaps

Description: This 2001 article discusses the requirement to assess hedge effectiveness in the Financial Accounting Standards Board’s new statement on derivatives accounting, FAS 133, Accounting for Derivative Instruments and Hedging Activities, as critical for qualifying for “special” hedge accounting. The article provides analysis of different approaches and the potential difficulties encountered. This article is reprinted with permission from Derivatives Week.

Description: Fear and Loathing in Swaps by Jim Sweeney from Risks and Rewards Newsletter, April 2000, Issue No. 34. Discussion of Interest Rate Swaps.