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: A primer on Credit Default Swaps

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: 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: 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: 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: 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: This article explains the 2009 changes to the Global Credit Default Swap contract and North American conventions. It is reprinted with permission from The Markit Magazine.

Description: We consider Libor market model and calibration process. We estimate some interest rate derivatives such as Caps and Swaptions. We use Monte Carlo methods with appropriate dynamics under spot measure and forward measure. Imposing martingale discretization property, the same quantities are estimated again to see a contrast or discrepancy in light of confidence interval. Based on algorithms discussed in the paper, “Arbitrage-free discretizations of lognormal forward Libor and swap rate models” by Glasserman, P and Zhao, X 2000, the algorithms are implemented in excel VBA. Starting with current market data such as FRAs and Bond Prices, we describe steps involved to estimate the price of interest rate derivatives such as Caps and Swaptions, which would be beneficial to the practitioners in the industry.

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.