Description: This paper discusses the martingale approach for pricing American-type options without an expiry date. These options include the perpetual American put option and the perpetual maximum option in one stock case. The word “perpetual” means that the option has no expiry date. A main tool in this approach is the principle of smooth pasting.

Description: There have been continual advances in the modeling of financial series but most are aimed at the pricing of derivatives. Different criteria are needed for development of scenarios for risk management. Some recent methods will be reviewed with an eye on risk-management applications, including using the simulated method of moments to parameterize multifactor models, fractional differencing and other methods to model series with persistent autocorrelation, and models to flatten out the volatility smile, such as jump-diffusion models. These methods will be illustrated with applications to inflation, interest rates, equity prices and exchange rates.

Description: This article presents some observations on inverted yield curves of U.S. Treasury securities and the correlation of volatility of Treasury security interest rates with their absolute level. The time covered by the study is December 1953 to December 1988. From Society of Actuaries Financial Reporting Monograph, M-AS99-1.

Description: Many risk management decisions involve the timing of implementing risk strategies. The cost of hedging, capital raising and securitization changes with the economic environment. The timing of de-risking and investment in new risk management functions affect the cost and benefit of these projects as well. Like investment timing, it is important to consider the timing in risk management decisions to maximize the gain of risk management projects. This paper discusses methods of determining the appropriate timing of implementing a risk management strategy or investing in risk management projects. It explains the human biases that may lead to inferior timing decisions. It also covers the costs and benefits of risk management projects and the impact of new information on the decision-making process. Timing considerations for financial risk hedging, insurance risk hedging and investment in new risk management projects are explained. Factors used for timing decisions include economic conditions, market volatility, credit rating, borrowing cost, capital adequacy and financial resources.

Description: Within this paper, we take an applied approach to examine the economics of ERM. We provide readers with a series of economically based warning signs that might signify significant changes in asset prices. These warning signs are based on the economic concepts of elasticity of demand, elasticity of supply and herd behavior. Our recommendations provide practical guidance to directors, executives and practitioners regarding ways in which they can mitigate risks in today’s volatile environment. Presented at 2010 Enterprise Risk Management Symposium, Society of Actuaries, April 12-15, 2010.

Description: Abstract: A model for analyzing the probability and severity of default of sovereign entities and banks. The methodology analyzes the risks inherent in the investment of debt of sovereign governments and large financial institutions side-by-side, taking into consideration macroeconomic interactions among the sovereign fiscal and monetary authorities, the financial institutions, and the real economy. The signature aspect of the methodology is that it adapts a Merton-style default model to use explicit measures of sovereign assets and asset volatility.

Description: This paper examines some new Bayesian models for loss reserving inspired by a consideration of some of the methods and techniques appearing in the traditional chain ladder literature. This includes a possibly order restricted hierarchical Bayesian model for the year over year development factors. The issues of reserve variability and ranges of reasonable reserve estimates are considered. A new Bornhuetter-Ferguson styled Bayesian method of estimate revision is also discussed. These Bayesian models can be implemented using Markov chain Monte Carlo MCMC methods in a variety of programming languages, and can serve as starting points for more advanced models. This paper describes their implementation in WinBUGS a specialized software program for MCMC simulations. Illustrative WinBUGS code is included.

Description: This paper discusses a problem in corporate finance, the problem of selecting from among a group of possible economic projects. This problem most certainly involves future contingent events and is a natural for consideration by actuaries interested in expanding into non-traditional practice areas.

Description: In the context of insurance economics, the PH-transform is justified through some basic postulates on market premiums. In this paper the PH-transform is applied to the present value random variable in life insurance and annuities. It provides an alternative to the commonly used equivalence principle in life insurance and annuities premium calculation. This research project is sponsored by a joint AERF/CKER Grant of the Society of Actuaries.