Description: This paper presents a formula for calculating the expected rate of return on shareholders' equity when an insurance company raises capital by issuing subordinated indebtedness. The ROE formula is also applicable to the case of raising capital by issuing nonconvertible preferred shares. From Actuarial Research Clearing House 1991, VOL. 2 .

Description: This paper describes a new approach of calculating duration by taking a portfolio perspective utilizing the idea of internal rate of return. It is presumed the user has a model for projecting cash flows under different interest rate scenarios and knows the current market value of the portfolio. From Actuarial Research Clearing House 1993, VOL. 3.

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: The method described in this paper is to allocate surplus to each category of business and reserves in proportion to its estimated effect on an insurer's surplus variation. Risk load for each category of business is then selected so that the return on allocated surplus for each category is equal to the overall return on surplus. From Actuarial Research Clearing House 1993, VOL. 3.

Description: This is an abstract of the paper entitled 'Axioms for the Valuation of Payment Streams: A Topological Vector Space Approach' by Approach by S. David Promislow. From Actuarial Research Clearing House, 1994, Vol. 1

Description: This paper examines the pricing of catastrophe risk bonds. Catastrophe risk cannot be hedged by traditional securities. Therefore the pricing of catastrophe risk bonds requires an incomplete markets setting and this creates special difficulties in the pricing methodology. The paper briefly discusses the theory of equilibrium pricing and its relationship to the standard arbitrage-free valuation framework. Equilibrium pricing theory is used to develop a pricing method based on a model of the term structure of interest rates and a probability structure for the catastrophe risk. This pricing methodology can be used to assess the default spread on catastrophe risk bonds relative to traditional defaultable securities.

Description: In writing this note on the relationship between total return, duration and convexity, it was author's intent to produce a better understanding of Redington's theory of immunization. From Actuarial Research Clearing House 1991, VOL. 2.

Description: This is a summary of the talk given at the 27th Actuarial Research Conference regarding ruin theory. From Actuarial Research Clearing House 1993, VOL. 1.

Description: This paper is concerned with the evaluation of the common portfolio management strategy which consists of delegating to different managers portions of the assets to be invested. This practice is shown to be close to optimal under the realistic assumption that the private signals of the financial experts are positively correlated. This is accomplished by comparing this multi-manager approach to an optimal investment policy derived under full information, within the context of a standard normal returns/exponential utility market timing model.

Description: The author previously wrote about extending the general nonparallel shlft approach to duration analysis. This paper explores the immunization properties of that model. In addition, applications to asset-liability management are explored. From Actuarial Research Clearing House 1990 VOL. 2.