This paper deals with the problem of the financial valuation of a firm and its shares of stock with given financing policies in a general stochastic environment. A model of the firm is described which includes the price-dividend balance integral equation whose solution yields the time path of...

This paper deals with the problem of the financial valuation of a firm and its shares of stock with general financing policies in a partial equilibrium framework. The model assumes a time-dependent discount rate and a general stochastic environment in a discrete-time setting. the fundamental...

This paper reports some new closed-form formulas of financial valuation for a deterministic firm with general financing policies and a time-dependent discount rate. A model of the firm is described which includes the price-dividend-balance integral equation whose solution yields the time path of...

An agent can distribute his wealth between two investments, one with a fixed rate of return r and the other with a random rate of return (modeled as a diffusion) with mean r. The agent seeks to maximize total discounted utility from consumption over an infinite horizon. Consumption may be...

This paper solves a general consumption and investment decision problem in closed form. An investor seeks to maximize total expected discounted utility of consumption. There are N distinct risky investments, modeled by dependent geometric Brownian motion processes, and one risk-less...

A comparison of and the relationship between the Ito and Stratonovich formulations of stochastic integration is given. It is argued that generally the Ito formulation is appropriate for problems of finance and economics. The Black-Scholes option pricing problem is discussed in both frameworks...

This paper deals with the problem of the financial valuation of a firm and its shares of stock with general financing policies in a partial equilibrium framework. the model assumes a time-dependent discount rate and a general stochastic environment in a discrete-time setting. the fundamental...