Description: This paper presents a model is which can be used for certain annuities when interest rates and future lifetimes are random. These can be used in determining contingency reserves for possible adverse interest and mortality experience for collections of life annuity contracts. Certain boundary crossing probabilities for the stochastic process component of the model are obtained. From Actuarial Research Clearing House 1991, VOL. 1.

Description: This paper addresses controversies related to Zillmer Reserves first proposed in the 1860's and discusses how actuaries can learn form these dilemmas and find a review of the controversy useful in more current practice. The paper was presented at the 25th Actuarial Research Conference held at the University of Western Ontario in 1990. From Actuarial Research Clearing House 1991, VOL. 1.

Description: The authors offer a method for estimating parameters for well-known three-parameter models of force of mortality. The method involves fitting a series of linear regressions, and finding the least-squares estimates of all the parameters by using the Golden Section Search method. From Actuarial Research Clearing House 1993, VOL. 1.

Description: This paper provides a description of a method that one can use to develop an estimate of accident year incurred losses if the only available data is aggregate paid losses by calendar year for a number of calendar years. An exhibit demonstrating the use of this method follows this description. From Actuarial Research Clearing House 1993, VOL. 3.

Description: This paper discusses the numerical stability of Panjer's recursion in computing aggregate claims distributions. From Actuarial Research Clearing House 1993, VOL. 1.

Description: The purpose of this paper is to present a parsimonious parametric model that explains the pattern of mortality for select and ultimate mortality tables. Specifically, the author modeled the combined rates found in the 1965-70 ALB Basic Tables. From Actuarial Research Clearing House 1994, VOL. 1.

Description: This paper discusses the validity of model year rating for private passenger automobile coverages other than physical damage. While the techniques employed are elementary, the result is of interest to providers as well as purchasers of automobile insurance. From Actuarial Research Clearing House 1993, VOL. 3.

Description: This paper discusses some powerful uses of recursive functions, including: 1. Universal life, both for the calculation of target premiums and reserves. 2. Paid-up Rider. Recursive functions can directly determine a premium that precisely matures the rider. 3. Traditional Whole Life. Reserves can be efficiently calculated when needed instead of referring to a table of stored factors. From Actuarial Research Clearing House 1993, VOL. 3.

Description: This paper focuses on the fact that life and annuity reserves that are determined from discounted case flows mask the dynamic nature of interest rates. To study this effect in a stochastic interest environment, the authors look at a change in discounted reserves. By looking at the appropriate measure of change, the paper explores potential short-term consequences of changes in the interest environment.

Description: The main aim of this paper is to apply some of the techniques of modern time series and econometric analysis to analyse investment data in order to better understand the nature of long run relationships in investment series typically used in stochastic investment models. The paper attempts to identify and address fundamental issues that need to be considered before developing a particular stochastic investment model.