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 article investigates the properties of the Gompertz distribution function. Explicit formulas for continuous life insurances and annuities are given in terms of the left-truncated gamma function. Moreover, approximations for the mean, variance, skewness and kurtosis of the Gompertz distribution are also given. Finally, the article shows that using a Gompertz assumption at fractional ages produces better a approximation than the usual UDD assumption.

Description: The projection methods used by the Social Security Administration's Office of the Chief Actuary are important. The resulting projections are cited regularly by policy-makers, academics and others interested in the long-term financial solvency of the OASDI system. However, a complete description of this projection methodology that is vital for serious policy discussions is not available to the general public. This summary was constructed in connection with the Social Security Advisory Board's 1999 Technical Panel on Methods and Assumptions. A goal of the Methods and Modeling working group of the Technical Panel was to 'work to ensure that the projection methods used by the Office of the Chief Actuary become more public.' From Actuarial Research Clearing House 2000, Vol. 1.

Description: These notes are a follow-up to the paper 'Introduction to the Dynamics of Pension Funding' by the same authors and published in Transactions of Society of Actuaries 1976, Vol. 28. The purpose of that paper was to provide an introduction to mathematical principles applicable to pension funding under dynamic conditions of population growth, inflation, and automatic adjustment of benefits. The first note discusses a general contribution formula and a number of special cases and modifications. The second note concerns aggregate cost funding when the actuary uses assumptions about cost factors which differ consistently from cost experience. The final note concerns the variation of the annuity unit under a variable annuity program patterned after the plan employed by the College Retirement Equities Fund [CREF]. From Actuarial Research Clearing House 1981, Vol. 1.

Description: This research paper investigates health care costs in the last year of life. This paper looks specifically at the issues of measurement of retiree health care costs when the baseline healthcare costs are measured in terms of the last year of life costs and maintenance costs.

Description: This paper describes an analysis of data anomalies on computer records on 246 federally-insured mortgages. Twenty-three of the corresponding mortgages were sampled and all were found to have identical amortization plans and to have been insured under the same insurance fund. The question posed, in probabilistic terms, is the following: How many of the remaining 223 mortgages are identical in these two aspects to the 23 sampled mortgages?

Description: This paper solves the pension benefit allocation problem using an extremely simple accounting approach. It presents a simple accounting argument, which says that the cost for like units of production should increase at the rate of inflation. If we assume that the appropriate units of production for an employee are inflation-adjusted salary, this rationale leads to projected unit credit with the benefit apportioned by interest-adjusted salary [PUCIAS] as the appropriate funding method for pensions. This same rationale can be extended to post-service medical care funding. For post-service medical care, however, the rationale does not lead to PUCIAS, since the rates of inflation for medical care and salary do not cancel. There is also a question whether inflation-adjusted salary should be used as the units of production for post-service medical care. When it is, it is still important avoid aggregating groups with different salary and promotion patterns. When it is not, the widget accounting arguments still hold as far unit costs increasing with the rate of medical care inflation.

Description: An analysis of how to compute the variance of the present value of future annuity payments as a component of assessing the mortality component of the provision for adverse deviation in the computation of GAAP reserves.

Description: This paper is a theoretical examination of the structure of the property-casualty insurance industry using economic theory to compare companies with agency distribution versus direct distribution. The purpose of the paper is to justify the existence of both types of distribution systems in equilibrium.

Description: Abstract from a paper that describes results from a hierarchical Bayesian statistical model which predicts the probability of Non-Acceptable Claim, an unnecessary hospital stay, using hospital discharge claim records as inputs.