Description: This paper discusses the rectangulatization of the survivorship curve and some related puzzling deviations between expectations and observations. From Actuarial Research Clearing House 1991, VOL. 2.

Description: A presentation on the principle of equivalent utility from the 2001 ARCH. Contains both the static and dynamic model as well as examples with exponential utility.

Description: View the 2019.1 Actuarial Research Conference Proceedings.

Description: This is Mr. Gerber's proof of the Schuette-Nesbitt formula.

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: This paper develops a method for estimating the future claim costs of known ongoing large medical claims. It applies Least Squares analysis of historical experience to derive two arrays of factors. One array is to be applied as a vector inner product with claim costs already incurred and/or paid to project a total future claim cost. The second array distributes the total future claim cost over the months following the analysis date.

Description: This paper addresses the autoregressive model and shows that the boundedness restriction can be removed from the basic result on the probability of ruin. From Actuarial Research Clearing House 1991, VOL. 1.

Description: This is the abstract of a paper that derives expressions for the moments of the distribution of the option payoff in a Black Scholes economy. These results are of interest from a purely statistical viewpoint. They may also be of interest given the current importance of value at risk calculations. The paper also derives formulae for the moments of barrier options and provides numerical examples.

Description: An updated and expanded translation of the 1863 Theory of Life Insurance Premium Reserves by Dr. August Zillmer, Stettin, Prussia. This is a seminal paper for the life insurance reserve method used extensively in Europe.