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 October 1996 Annual Meeting. The SOA has co-sponsored a research project on the use of derivatives by the insurance industry, using annual statement data reported by insurance companies. This session presents the results of the study, and implications with respect to sufficiency of RBC are discussed.

Description: This paper explains the development of the credit derivative market, describes the most common types of credit derivatives, discusses how insurers can and do use these instruments and explains the role they played in the financial market turmoil of 2008.

Description: This session at the SOA 2003 Washington, DC Spring Meeting examines the nuts and bolts of implementing a capital markets hedge program for offsetting the market risk embedded in variable annuity and equity-indexed annuity products..

Description: This session from the 1984 SOA Atlanta Meeting is a teaching session of options and futures and discusses the basics of options and futures, hedging risks, the difference between hedging and arbitrage, taxation and representing policy features in terms of options.

Description: Competition for space in distribution channels has resulted in a proliferation of exotic options embedded in variable annuity products. This article discusses how this has created a need which can be addressed, in part, by hedging variable annuity guarantees with long-dated equity derivatives.

Description: The goal of this paper is to dispel the prevailing belief that American-style options cannot be valued efficiently in a simulation model by presenting a general algorithm for such valuation, and thus remove what has been considered a major impediment to the use of simulation models for valuing financial instruments. Discussions of this paper are included.

Description: 1994 SOA Spring Meeting, Orlando. In this session the speaker provided an overview of derivatives including: 1. Definition. 2. Uses. 3. Types of risks - market, credit, legal, and systems. 4. Risk management. 5. US regulatory guidelines and 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: 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.