Description: This papers considers the effects of taxing nominal rather than real returns from short term deposits. A system for taxing real returns is developed. The possible results from a change in the method of taxation, to the one proposed in the paper are discussed. From Actuarial Research Clearing House 1991, VOL. 1.

Description: The objective of this paper is to present and to apply a numerical method in the calculation of the minimal and maximal ultimate ruin probabilities in two risk models given some moment constraints on the individual claimsize distribution. An application of this optimization problem is to find the extremal lower and upper bounds of the ultimate ruin probabilities given those constraints. The paper considers the classical risk models with constant and variable premiums.

Description: A six-page article on an explicit formula for the probability of ruin. From Actuarial Research Clearing House 1993. VOL. 2.

Description: This paper addresses the autoregressive model and shows that the boundedness restriction can be removed from the basic result on the probability of ruin. From Actuarial Research Clearing House 1991, VOL. 1.

Description: An updated and expanded translation of the 1863 Theory of Life Insurance Premium Reserves by Dr. August Zillmer, Stettin, Prussia. This is a seminal paper for the life insurance reserve method used extensively in Europe.

Description: Private defined benefit pension plans must, by law, pre-fund the retirement benefits. This requires the periodic valuation of liabilities and calculation of contributions. Because valuation assumptions are seldom borne out by reality, a surplus [or deficit] ensues and varies over time. When the surplus becomes sizable, there often arises a desire to distribute part of it so as to bring it down to a more reasonable level. This paper provides a brief overview of cooperative game theory and, in particular, sharing rules. Then, using certain sharing rules, it determines how to split the surplus or deficit among the plan participants and sponsor. In general, the participant's share in the surplus depends on the total of his contributions. Other considerations, such as the actual investment income received on his contributions or the years of service, may influence the distribution of the surplus. It may even appear desirable to take account of the accrued liability. From Actuarial Research Clearing House 1998, Vol. 1.

Description: In recent years a lot of time has been spent discussing a variety of different ways to measure the performance of an insurance company. One of the dominating concepts in the discussion of this has been 'Economic Capital' and with this the question of allocation of the [Economic] Capital with the intention of introducing a risk related measure of performance. In this paper, the authors view the performance measuring as a question of determining the appropriate distribution of a risk loading for participants in a risk pool having the overall risk priced by an actuarial premium principle. They show that the covariance principle can be found as the optimal solution to this risk sharing problem and show that the covariance principle fulfills some reasonable requirements. They furthermore suggest how the covariance principle can be at the basis of a target setting procedure for a multi-line insurance company.

Description: This is the abstract for the referenced paper on the subject of Lundberg bounds on the tails of compound distributions. From ACTUARIAL RESEARCH CLEARING HOUSE 1980 VOL. 2.

Description: The purpose of this paper is to perform conjugate Bayesian analysis on the negative binomial distribution with the goal of providing a standard by which approximate credibility formulas and approximate predictive distriubtion may be judged. From Actuarial Research Clearing House 1993, VOL. 1.

Description: This paper shows that Balucci hypothesis imposed on a survivorship function over a closed interval is dual to the uniform distribution of deaths hypothesis imposed on the survivorship function over the same interval.