Description: Discusses notation deficiencies.

Description: Financial Accounting Standard Number 91 deals with the calculation of investment income and amortized cost for mortgage backed securities, as well as whole mortgages and callable bonds. The method described in this paper uses a Taylor series to eliminate the storage of all past cash flows, while still providing an accurate FAS 91 adjustment. From Actuarial Research Clearing House 1993, VOL. 3.

Description: In this paper, Lagrangian distributions are reviewed and some of their properties are studied. Recursive methods are proposed to calculate compound Lagrange distributions. Some examples for a sub-family of Lagrangian Distributions and its compound distributions are studied.

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 argues that the self-financing axiom with mild assumptions on the conditional expected returns yields a market with an eventual arbitrage. This is accomplished by minimizing the conditional variance of a trade when the conditional expectation is a fixed constant. Examples with common processes shows that most models yield an eventual arbitrage. As a final application, a cost model is applied to prices of stripped coupon and principal payments on U.S. government bonds, where rates of return are estimated and lower bounds on market costs given.

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: Up to now, the main aim of credibility theory has been to provide statistical models which allow for estimating [net] risk premiums appropriately. In this note, a simple credibility model based on the percentile principle is introduced. It turns out that there are close connections between the resulting credibility premiums and statistical tolerance limits.

Description: Non-consequentiality is quite consequential for the claims made for the applicability of Risk Theory RT to decision problems that are not transparently tactical or wholly instrumental. On the negative side, RT is not normative or even a complete heuristic in such contexts. The author takes strong exception to the common tendencies, A to link risk theory with welfarism and versions of utilitarianism, and B to claim that with or without but especially with such linkage RT is normative in both moral and rational analysis, choice and action.

Description: A great deal of useful information already resides on the Internet. Actuarial researchers/educators should make a point of adding to it. This 1995 presentation from the 30th Actuarial Research Conference discusses actuarial information available on the Internet and proposes a home page for the Society of Actuaries. From Actuarial Research Clearing House 1996, Vol. 1.

Description: ['he purpose of this paper is to describe a possible Old-Age Social Security Program for Bangladesh, with financial projections through the year 2025.