Description: A presentation on the principle of equivalent utility from the 2001 ARCH. Contains both the static and dynamic model as well as examples with exponential utility.

Description: This paper analyzes the U. S. Treasury monthly interest rates from 1953 to 1992, and the daily rates from 1981 to 1992 for various forms of chaotic behavior. The primary analysis was in determining the Burst Exponent by the use of Rescaled Range Analysis. This paper also discusses other possible uses of Fractional Brownian Motion in Finance Theory, Macroeconomics, and Actuarial Science. From Actuarial Research Clearing House 1994 VOL. 1.

Description: This paper presents a new perspective on three basic financial quantities: assets, liabilities and surplus. The new perspective is developed through a re-examination of the fundamental concepts inherent in these quantities. This re-examination clarifies the difference between the concept and the various rules commonly used to establish their numerical value. With the benefit of this clarification, an alternate approach to the development of surplus is presented. From Actuarial Research Clearing House 1993, VOL. 3.

Description: This paper discusses contracts sold by states which promised to provide tuition in the future for a fixed price. Because these contracts provide a benefit whose dollar value is uncertain at the time of sale, these contracts contain significant risks to the states and create a challenge to the actuaries who opine on the adequacy of the trust funds to provide the benefits promised by these contracts. This article discusses some of the implications of the method used by the major states to project tuition inflation and explores other possible methods. From Actuarial Research Clearing House 1993, VOL. 3.

Description: Option bounds are obtained in a discrete-time framework with transaction costs. The model represents an extension of the Cox-Ross-Rubinstein binomial option pricing model to cover the case of proportional transaction costs. The method proceeds by constructing the appropriate replicating portfolio at each trading interval. From Actuarial Research Clearing House 1991, VOL. 1.

Description: This paper presents the application of the asset share technique of pricing to Home Equity Line of Credit insurance. The paper's objective is to provide useful tools when developing a new HELOC product including projections for marketing and underwriting, distinctions between desirable and undesirable product design features, and development of premium rate structures. From Actuarial Research Clearing House 1990, VOL. 2