Description: This paper examines the pricing of catastrophe risk bonds. Catastrophe risk cannot be hedged by traditional securities. Therefore the pricing of catastrophe risk bonds requires an incomplete markets setting and this creates special difficulties in the pricing methodology. The paper briefly discusses the theory of equilibrium pricing and its relationship to the standard arbitrage-free valuation framework. Equilibrium pricing theory is used to develop a pricing method based on a model of the term structure of interest rates and a probability structure for the catastrophe risk. This pricing methodology can be used to assess the default spread on catastrophe risk bonds relative to traditional defaultable securities.

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: 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: 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: 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. In this teaching session, various forms of asset-backed securities, e.g., credit cards, auto, home equity, commercial real estate, mobile homes, etc., are examined. Also discussed is basic structures and the risks and opportunities and critical parameters involved.

Description: Panelists at this session of the SOA 1998 Maui I Spring Meeting discuss the challenge of how to regulate and account for the growing number of derivative products in the context of their multiple applications.

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: 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 at the SOA 1990 Hartford Spring Meeting presents an overview of foreign currency swaps, participants and growth in the market. Case studies are discussed.