Description: In this paper,we present a method which first converges a two dimensional data to a univariate one and then uses the interval censoring technique to estimate the probability of failure of a Joint-life status from a heavily censored data. Our study shows that the life annuities of joint-life status calculated assuming independence overestimates the ones evaluated from an actual sample of population.

Description: Discusses a method for division of workload in a consulting firm in a way which will minimize cost.

Description: This actuarial memorandum represents the first, formal actuarial opinion regarding the reasonableness of the premium estimates the Clinton Administration presented with its proposed Health Security Act. The memorandum presents the assumptions and methods used to develop an average 1994 premium estimate for the standard benefit package.

Description: The purpose of this note is to show how certain formulas of life contingencies can be derived almost painlessly under the uniform distribution of deaths assumption.

Description: In addition to death and maturity guarantees on the mutual funds they sell, some insurance companies make it possible for the investor to extend the guarantees for a fixed number of years. In this paper, we consider the case when that option is of the European type that is, the investor, at maturity, can either close out the contract or extend it for the stated, fixed term. When extended, the guarantee is on the value of the fund at the original maturity date. The fund is assumed to be fully invested in common stock.

Description: This paper presents a generalization of the principal current methods of financial decision making. In the way physical sciences benefit from new general theories that encompass those theories they succeed, the science of finance can benefit from the development of a general framework that encompasses many of the current methods of financial analysis. The paper develops a general framework for financial decision-making from a few simple axioms of rational economic behavior.

Description: It is obvious that the introduction of a deductible has two major effects. The amount paid for every claim will drop, resulting in a lower claim burden for the insurance company. There will also be a drop in claim frequency, leading to a decrease in claim handling expenses. However, it is by no means obvious how the average claim size changes with the introduction of a deductible. In this paper, we will study this question. First, we derive some theoretical results then apply them to concrete distributions.

Description: The Annual Reports of the Trustees, for the Social Security Trust Funds, are cornucopia of data. However, the major focus is on projections expressed as a percentage of payroll. The purpose of this paper is to suggest that additional measures - which would supplement, rather than replace the percentage of payroll data - should be examined to evaluate the projected effect of the cash benefits OASDI program.

Description: All claim reserve systems endeavor to derive estimates of the unpaid portion of claims which have been incurred over a given period of time, making use of information on numbers of claims and amounts paid on claims as of the valuation date. In this paper, a claim reserve system is described. While the system does produce the traditional type of single-point estimates of claim reserves, it also provides the user with frequency distributions of claim reserves

Description: This paper presents a multi-state stochastic model for analyzing continuing care retirement community CCRC populations. The model considers CCRCs with a number of independent living units and a skilled nursing facility. Residents may transfer temporarily or permanently to this facility. It is assumed that units vacated by deaths, withdrawals or permanent transfers are immediately occupied by new residents. Transfers are modeled using a time-homogeneous Markov process. The paper provides some probabilistic results and some numerical results obtained using this model. Some important generalizations of the model are also briefly discussed.