The present paper concentrates on the implementation of three purposes. The first purpose is the formulation of a stochastic multiplicative model. The second purpose is the establishment of sufficient conditions for evaluating the distribution function of the proposed model. Moreover, the...

The present paper makes use of the minimum of a random number of nonnegative random variables and a nonnegative random variable for formulating a stochastic multiplicative model. Sufficient conditions for evaluating the distribution function of the model are also established. Moreover, the paper...

This paper investigates the conditions under which zero unimodality is introduced into stochastic future value distributions for continuous uniform cash flows, and discusses the associated moments. The distribution of a future value generated from such cash flows is shown to be far more...

Stochastic discounting models are generally recognized as extremely strong analytical tools for a very wide variety of fundamental areas in the actuarial discipline. The paper is mainly devoted to the formulation, investigation and application in the actuarial discipline of a stochastic...