Description: In problem 24, Chapter 5, of Kellison's 'Fundamentals of Numerical Analysis' it is indicated how a divided difference can be expressed as a ratio of two determinants. This study note shows that this method works well also in the case where some of the arguments of collocation coincide. The rule is: If an argument occurs k times, the derivatives of the corresponding row up to order k-1 should be used in numerator and denominator.

Description: Often an investor is offered an annuity for a fixed purchase price. The computation of the yield rate implied by this transaction must presently be computed by an iteration scheme, usually on a computer. With reasonable parameters, the problem of determining the yield rate can be readily solved with a desk calculator. From the Actuarial Research Clearing House 1982, Vol.1.

Description: Mortgage insurance is used to guarantee the mortgage investor [mortgagee] against financial loss due to the inability of the home buyer [mortgagor] to repay the loan in accordance with the terms of the mortgage. This paper describes a procedure used to construct predicted survivorship tables for single-family home mortgage insurance contracts written under four sections of the National Housing Act.

Description: A method is presented which uses Bayes Lemma in an elementary way to construct posterior probabilities to be attached to each of several alternative prior distributions, given a few observations. The availability of efficient computer programs to numerically perform discrete convolutions for producing prior distributions makes this a practical method. From the Actuarial Research Clearing House 1978, Vol.2.

Description: This paper discusses the implications of the use of the fund of unreleased capital gains on common stocks as required surplus. By 'Unreleased Capital Gains' the author is talking about a situation where realized and unrealized capital gains are annually placed in a fund and a percent of that fund is released into income and/or surplus annually. Actuarial Research Clearing House ARCH 1988, Vol. 3

Description: This paper suggests a new model for the distribution of deaths between two adjacent integral ages which addresses existing discontinuities. Application of the model is shown and compared with the existing three popular models. From Actuarial Research Clearing House 1994, Vol. 2.

Description: The Cauchy integral formula is applied to derive various results on divided differences.

Description: We present a method to calculate the percentile of the distribution of the present value of the death benefit for a continuous deferred whole life Insurance.

Description: This paper suggests that using the entire runoff triangle to keep a tail on the runoff curve was not necessary, and that doing so was actually a disadvantage if group medical and dental claim payment patterns changed over the period being used. An alternative was presented. From Actuarial Research Clearing House 1993, VOL. 3.

Description: Interest rate modeling is discussed in this paper with special emphasis on the long and short rate model of Brennan and Schwartz. Comment is made on an unexpected aspect of the solution of the resulting partial differential equation. Also, an analysis is made of the predictive power of the term structure of interest rates. From the Actuarial Research Clearing House 1991 Vol. 1.