Description: One of the most important problems in Finance is the valuation of financial securities written on underlying assets whose prices are subject to uncertainty. This paper presents a technique to estimate the unknown stochastic volatilities by solving the inverse problem associated with the parabolic partial differential equation governing risk neutral derivative security prices. This technique can be applied in a very general multi-factor setting and numerical examples are provided.

Description: Presented at May 1996 Spring Meeting. Panelists discuss the accounting, tax, internal control, and regulatory issues associated with derivative securities and provides an update on recent developments.

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

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 session is from the 1995 SOA Spring Meeting. Panelists discuss practical uses of derivatives, including interest rate and equity options and swaps. Specific derivatives include constant maturity Treasury CMT caps, equity-linked notes - ELNs and OTC puts. From Record of Society of Actuaries Vol. 21, No. 1.

Description: Presented at May 1996 Spring Meeting. The investment environment has undergone significant change over the last several years through the introduction of many sophisticated investment vehicles. This session provides an update on current challenges encountered by life insurance companies in accounting for this new array of investments. Among the issues covered will be accounting for derivatives, mortgage-backed securities, and other hedging vehicles. The session also includes some of the system and projection modeling challenges encountered as a by-product of investment in these vehicles.

Description: Presented at May 2002 Spring Meeting. This session covers the current status of FAS 133 and extensions such as the proposed statement of position on accounting and reporting by insurance enterprises for certain nontraditional, long-duration contracts and for separate accounts.

Description: This is the abstract of the paper Quasi-Monte Carlo Methods in Numerical Finance. This paper introduces and illustrates a new version of the Monte Carl method that has attractive properties for the numerical valuation of derivatives. The traditional Monte Carlo method has proven to be a powerful and flexible tool for many types of derivatives calculations.