Description: In this paper we study the pricing of financial options and contingent claims. We show that two time-honored concepts in actuarial science - the Esscher transform and the adjustment coefficient - are efficient tools for pricing many options and derivative securities if the logarithms of the prices of the primitive securities are certain stochastic processes with stationary and independent increments. We also study the pricing of American options on two stocks without expiration date and with payoff functions which are homogeneous with respect to the two stock prices.

Description: This session will demonstrate the advantages of approaches to duration matching and cash flow matching. Plan examples and sponsor’s objectives will be presented. An overview of when to choose one approach versus a blend of the two approaches will also be covered.

Description: A primer on Credit Default Swaps

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: 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: Discusses the types of risks that are considered derivatives, the pricing of a derivative, how to manage derivative risks once they are on your books, and some specific examples of how companies are managing them. From the 2002 Record of Society of Actuaries, Volume 28, No. 3. Session 93PD of the Boston Annual Meeting.

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 paper presents an algorithm for valuing American options in a path simulation model. It demonstrates the accuracy by an example involving a put option on a non-dividend-paying stock for which the exact premium could be determined. It shows how the use of simulation models can be useful in valuing a broker-dealer's derivative book and analyzing the asset-liability condition of financial intermediaries.

Description: This session from the 1995 SOA Boston Meeting examines the use of derivatives to help optimize the inurance company portfolios and using pension theory in developing optimized portfolios in an insurance company environment. From the Record of the Society of Actuaries, Vol. 21, No.4b.

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.