Description: This article shows a different form of the Black-Scholes formula for European calls and puts under risk-neutral assumptions, that permits a comfortable verbal interpretation. The derivation of this alternative form appears at the end of the article.

Description: The Risk Management Task Force polled the Risks & Rewards readers and asked the following questions related to Monte Carlo models: 1 How many scenarios do you run? 2 How did you determine the number? and 3 What confidence interval does your result have? The results are summarized in this article.

Description: Feature article discussing numerical short cuts, rules of thumb, estimators, modeling tips, etc. The featured problem is fitting the intermediate points for a real-world stochastic model of interest rates.

Description: The author notes “a telescope and a kaleidoscope both provide a view but that is where the similarities end. A telescope shows us an actual view whereas a kaleidoscope creates a view from broken pieces of glass. This article will analyze which analogy is closer to the stochastic modeling of interest rate or stock market projections.”

Description: This articles describes some of the industry issues that new-generation risk modeling technologies can address and the emerging technology of simultion as it applies to risk modeling.

Description: “Many commentators have suggested that firms need to do stress tests to examine their vulnerability to adverse situations that are not within the data set used to parameterize their risk models. We suggest the adop¬tion of a terminology to describe stress tests and also a meth¬odology that can be adopted by any risk model user to test and communicate a test of the stability of model results.”

Description: The article discusses the investment models of The Mutual Pension Insurance Company Ilmarinen, one of the companies managing the statutory employment pension in Finland. The parts are: financial time series data management, time series analysis programs, investment simulation models and portfolio optimization models.

Description: This article, with some humor, describes a movement known as “econophysics” of physicists modeling economic systems, including capital markets, using techniques and concepts developed in studying the out-of-equilibrium dynamics of complex systems. A version of this article appeared in The Actuary UK in August 2004. Reprinted with permission.

Description: The SOA’s Committee on Finance Research recently made available the results of a research study that explores economic series and provides an Excel-based tool for generating future economic scenarios. From Risks and Rewards Newsletter, August 2005, Issue No. 47.

Description: A paper entitled “A Regime-Switching Model of Long-Term Stock Returns” appears in the April 2001 issue of the North American Actuarial Journal. In it, Dr. Mary Hardy describes a model for future equity returns and some reasons why that model might better reflect real equity price movements than the often-used lognormal model. The purpose of this article is to apply a two-regime model to variable annnuity GMDB pricing and compare the results to those from a lognormal model.