This paper introduces a general continuous-time mathematical framework for solution of dynamic mean-variance control problems. We obtain theoretical results for two classes of functionals: the first one depends on the whole trajectory of the controlled process and the second one is based on its terminal-time value. These results enable the development of numerical methods for mean-variance prob...

This study considers the problem of a vendor which supplies an item to the buyer with imprecise partial backlogging rate of unsatisfied demand and non instantaneous deterioration rate considering variable holding cost, the effect of inflation and time value of money. The supplier’s lead time is a stochastic function of his managing cost. The extra costs incurred by the retailer due to the uncer...

Using an approach similar to that of Gerber and Shiu (1998), a recursive formula is given for the expected discounted penalty due at ruin, in the discrete time risk model. With it the joint distribution of three random variables is obtained; time to ruin, the surplus just before ruin and the deficit at ruin. The time to ruin is analyzed through its probability generating function (p.g.f.). The ...

This essay addresses some of the critical and cohesive teaching philosophies regarding finance theory education in an effort to rekindle and increase our awareness thereof in the wake of rapid advancement and propagation of technology-based practical skills training, which appears to increasingly discount the usefulness of classroom-taught theories. Recognizing the significance of fostering pro...

An inventory problem for a deteriorating item having two separate warehouses is developed under time value of money, whereby one is an own warehouse (OW) of finite dimension(s) and the other is rented warehouse (RW) of infinite dimension(s). Deterioration rate of items in the two warehouses may be different, which is time dependent and deterioration is in the mean beta distribution form. In thi...

In this paper we focus on the analytics of implementing CLTV in SAS®. We describe the different analytics steps needed to implement the CLTV framework, appropriate SAS procedures and some pitfalls to avoid. We first layout the data requirements and analytics framework for putting together a CLTV measure, and then discuss the different components in greater details. Two key components of the mea...

This article deals with the foundation of financial theory into corporate finance. Using analysis and synthesis scientific methods, and especially with the requirements for the successful application of these methods, in this article is not only review the financial literature but also it is shown the future approach of the expected financial paradigm. The aim of the paper is to describe and re...

Due to today’s highly competitive environment, both reducing lead time and the associated inventory cost are critically important issues in supply chain. And, the consideration of time value effect is lacked in most previous researches. However, the effect of inflation is too critical to ignore. Therefore, we develop an integrated inventory model with crashing cost which was determined by the l...