Miller and Modigliani (1961) consider valuation of infinite horizon firms that may not engage in purchasing their own shares. While their fundamental valuation approach applies also to firms that purchase their own shares, their stream of dividends approach does not. The latter approach is...

This paper obtains decision and forecast horizons for undiscounted, continuous-time one-dimensional control systems. Some general conditions for the existence of horizons arising from the constraints imposed on the system are derived by using the optimality principle. These conditions are...

We solve an agent's optimization problem of meeting demands for cash over time with cash deposited in bank or invested in stock. The stock pays dividends and uncertain capital gains, and a commission is incurred in buying and selling of stock. We use a stochastic maximum principle to obtain...

We solve an agent's optimization problem of meeting demands for cash over time with cash deposited in bank or invested in stock. The stock pays dividends and uncertain capital gains, and a commission is incurred in buying and selling of stock. We use a stochastic maximum principle to obtain...

We explore buyback contracts in a supplier-retailer supply chain where the retailer faces a price-dependent downward-sloping demand curve subject to uncertainty. We formulate the problem as a supplier-led Stackelberg game and derive explicitly the equilibrium contract parameters along with the...

This paper provides a rigorous mathematical treatment of the problem of valuation of a firm in a deterministic, partial equilibrium framework. It is shown that the dividend and arbitrage approaches to valuation are not equivalent in general. A necessary and sufficient condition for their...

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...

Miller and Modigliani (1961) consider valuation of infinite horizon firms that may not engage in purchasing their own shares. While their fundamental valuation approach also applies to firms that purchase their own shares, their stream of dividends approach does not apply to these firms if they...

Production scheduling problem of style good manufacturer involves seasonal stochastic demands for their goods and limited production capacities. As a result, some production must take place before the selling season starts. The problem can be cast as a stochastic optimal control problem over...

We present a sufficient condition for a feedback Stackelberg equilibrium of a stochastic differential game on an infinite horizon. This condition gives rise to a system of elliptic partial differential equations involving a static Stackelberg game at the level of Lagrangian. As an example, we...