Description: This note is labeled actuarial because it deals extensively with the force of interest, a concept which is characteristically of concern to the actuarial community. The authors’ personal point of view is that we should modify the basic definition of the compound interest.

Description: In this paper, the authors take an axiomatic approach to characterize insurance prices in a competitive market setting. Four axioms are presented to describe the behavior of market insurance prices. From these axioms it follows that the price of an insurance risk has a Choquet integral representation with respect to a distorted probability.

Description: The primary focus of this 1997 presentation from the 32nd Actuarial Research Conference is the adaptation of the representative scenario method such that the distribution of the primary rates used for product pricing, are consistent, regardless of the initial random number seed. A preliminary question is how many stochastically generated scenarios are required for consistency. This presentation looks at the implications of: the use of antithetic random normal deviates upon the scenario process, ways of modifying the candidate list, and the choice function within the representative scenario process.

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: This paper is about a concept known as the 'rate of transmission of information' or, more simply, as the 'information rate.' The authors establish the equivalence of arbitrage-free economic systems and a generalized betting model in such a way that the interpretation of the information rate, as the maximum rate of increase of an investor's capital, is preserved. As a corollary to this result, they show that the difference in the information rate between models represents the achievable incremental return associated with the superior predictor model. From Actuarial Research Clearing House 1993, Vol. 3.

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: This paper examines the Federal Housing Administration's [FHA] historical termination data on individual single family mortgages. These FHA data can be used to help understand recent past experience as well as to forecast future experience.

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.