This paper solves a general continuous-time single-agent consumption and portfolio decision problem with subsistence consumption in closed form. The analysis allows for general continuously differentiable concave utility functions. The model takes into consideration that consumption must be no...

Sethi and Thompson (1970) illustrated the applications of the maximum principle to solve simple dynamic cash balance problems. There we introduced the idea of penalty function to solve the cash balance problem with bounded state variables arising out of disallowing overdrafts and short selling....

This paper considers the problems of a dynamic continuous thief, such as a habitual shoplifter or a gas siphoner, who must choose the pilfering rate (which increases the probability of his arrest over time) to maximize the present value of his total expected gain over a given finite or infinite...

The problem of cash management, in its simplest form, is to formulate decision rules which control the level of a firm's cash balance to meet its demands for cash at minimum total discounted cost. Control is achieved by transacting securities for cash. The cost of control is the commission...

Krouse and Lee (1973) have formulated an optimal financing problem of a firm in the dynamic setting of optimal control theory. Specifically, the problem is to find a financing mix of retained earnings and external equity over time in a way that maximizes the present value of the entire future...

We consider optimal consumption and portfolio investment problems of an investor who is interested in maximizing his utilities from consumption and terminal wealth subject to a random inflation in the consumption basket price over time. We consider two cases: (i) when the investor observes the...

Real problems are formulated into tractable mathematical models, which allow for an analysis of various approaches.Attention is focused on solutions.Provides a unified treatment of the models discussed , presents a critique of the existing results, and points out potential research directions.

I INTRODUCTION -- II DISCOUNTED COST MODELS -- Discounted Cost Models with Backorders -- Discount Cost Models with Polynomially Growing Surplus Cost -- Discounted Cost Models with Lost Sales -- III AVERAGE COST MODELS -- Average Cost Models with Backorders -- Average Cost Models with...