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: This note is motivated by Section 7.4 of Actuarial Mathematics. Consider two different fully-discrete policies issued to x, each for a unit of life insurance during the first h years. Here, h is less than or equal to the shorter of the two premium-payment periods.