Description: This presentation considers the pricing of European derivatives in a Black-Scholes model with stochastic volatility. The presentation shows how Parseval’s theorem may be used to express those prices as Fourier integrals. This is a significant improvement over Monte Carlo simulation in many cases. The main ingredient in this presentation's method is the Laplace transform of the ordinary [constant volatility] price of a put or call in the Black-Scholes model, where the transform is taken with respect to maturity [T]. The presentation derives these formulas and then applies them to the case where volatility is modelled as a Markov chain in continuous time, the so-called 'Markov regime switching model'. This model has been used previously in stochastic volatility modelling, but mostly with only N=2 states. The presentation shows how to use N=3 states without difficulty, and how larger number of states can be handled. Numerical illustrations are given, including the volatility smile in a three-state model.

Description: 1994 SOA Spring Meeting, Orlando. In this session the panelists debated the diversity of professional practice about how companies and regulators can and should measure profit and set standards for profit margins. One panelist spoke of the traditional actuarial perspective, while the other represented the modern theory of finance.

Description: 1996 Valuation Actuary Symposium. Topics discussed in this session included developing an approach to quantifying C-3 risk and exploring ways to improve the C-3 component of the NAIC RBC formula.

Description: 1996 Valuation Actuary Symposium. This session discusses the purposes of building an asset model, the resource requirements, model validation, model granularity, understanding spreads, and model interest rates.

Description: Discussion of the diversification activities of a number of life insurance companies. This includes the formation of, or acquisition of, property and casualty insurers, variable annuity companies, mutual fund management companies, banks, finance companies, leasing companies, real estate development companies, televisions and radio stations, newspapers, software consultants and other corporate enterprises. Discussion includes: 1. Activities really compatible with the llfe insurance product. 2. Activities otherwise compatible with corporate objectives or offering potentially large profit centers. 3. Activities which can be an excessive drain on corporate earnings and executive manpower 4. The actuary's role in these diversification activities. Then the discussion goes into a discussion of corporate planning models

Description: This session at the SOA 2003 Washington, DC Spring Meeting focuses on the issues involved in building a scenario generator. It covers the data set used to develop and calibrate the generator as well as a discussion of different approaches and their features. Implementation is addressed along with potential pitfalls.