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: 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: Actuaries measure, model, and manage risks. Risk associated with the investment function is a major uncertainty faced by many insurance companies. Actuaries should have knowledge of the asset side of the balance sheet of an insurance company and how it relates to the liability side. From Securitization of Insurance Risk: The 1995 Bowles Symposium, M-FI97-1.

Description: This paper presents enhancements to the classical cash-flow matching approach to developing fixed income portfolio investment strategy by allowing cash carry-forward and borrowing from future surpluses.

Description: This paper shows that the Esscher transform is also an efficient technique for valuing derivative securities if the logarithms of the prices of the primitive securities are governed by certain stochastic processes with stationary and independent increments. Two applications are presented, the first for valuing a European call option and the second for pricing derivative securities of multiple risky assets.

Description: In this paper, a general multivariate duration analysis is introduced that does not depend on a mathematical formulation of the way in which a yield curve moves. A discussion of the paper follows. From Transactions of Society of Actuaries 1991, Vol. 43.

Description: This paper reviews Redington's theory of immunization and sketches how it may be extended to the general case of stochastic flows by means of modern option-pricing theory. From the Actuarial Research Clearing House 1992 Vol. 1 .

Description: This paper discusses the pricing of bond options and interest-sensitive cash flows by discrete state/time models such as binomial lattices. Current binomial models are faulty because the put-call parity relationship may not hold for all periods and there may exist negative interest rates. This paper presents a binomial model without such riskless arbitrage opportunities. This model allows the initial term structure of interest rates to be prescribed exogenously, so that the model price for each stream of fixed and certain cash flows is the market price.

Description: The purpose of this paper is to examine a special case of option pricing theory in which the insurance company promises the customer to exercise the option for him. This paper presents a simple formula for valuing the option. From the Actuarial Research Clearing House 1991, Vol.1.

Description: This paper discusses extending the general nonparallel shift approach to duration analysis developed previously and explores the immunization model within the multivariate context. A discussion of the paper follows. From Transactions of Society of Actuaries 1991, Vol. 43.