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: Presented at October 1985 Annual Meeting. Discussion includes: case history of Inter-State Assurance Company, case history of Unionmutual Life, Society of Actuaries Task Force on Mutual Life Insurance Company Conversion, Demutualization legislation Proposed in New York.

Description: 1992 SOA Regional Meeting, Anaheim. This panel used case studies to discuss adequacy testing, capital management, reporting solvency issues to management, single premium deferred annuity persistency, and credit risk.

Description: 2001 SOA Spring Meeting, Toronto. A wide range of tools exists in both the insurance and banking industries to measure and mitigate exposure to risk. For some risks, given their nature and volatility, real-time measurement and monitoring has become a necessity. This session focused on the risk management tools and techniques that measure and mitigate exposure associated with products that have embedded options.

Description: Panelists at this session of the SOA 2001 Toronto Spring Meeting discuss new profit measures that are used in the management of the company. The focus is on value-added and risk-adjusted return on capital [RAROC] methods.

Description: 1996 Valuation Actuary Symposium. This session about equity-indexed annuities addressed product designs, reserving issues, accounting issues, and cash-flow testing issues.

Description: Institutional investors such as pension plans and insurance companies have enjoyed strong equity returns for a length of time with few historical precedents. Nearly a decade after the end of the financial crisis, strategies to provide downside protection remain expensive and the performance of traditional risk-managed funds has disappointed investors.

Description: The management of the investments of an insurance enterprise has undergone a considerable evolution since the pioneering work of Redington in the mid 20th century. Best practices have evolved to incorporate ever more complex insurance liabilities, expanding investment asset classes and global market opportunities. Strategic asset allocation (SAA), liability driven investing, and other robust optimization approaches form the core of the professional management of insurance company investments.

Description: This article addresses the difficulties of risk modeling in a poor economic environment. The problems include imperfect vendors of data, facing events that have never occurred before, unpredictable consumer behavior, conflicting data sources, and AAA credit doesn't always mean AAA.

Description: This session at the SOA 1990 Hartford Spring Meeting is about the various factors to be considered in determining the interest margins for interest-sensitive life insurance, annuities and GICs, i.e. the difference in earned and credited rates including practical considerations. Valuing embedded options in assets and liabilities is also discussed.