The education and application of skills in it is an essential prerequisite for the growth and development of each national economy in the future. Investing in education and skills development are essential incentive for raising the growth and competitiveness of each country and its participation...

We establish the existence and uniqueness of the equilibrium for a stochastic mean-field game of optimal investment. The analysis covers both finite and infinite time horizons, and the mean-field interaction of the representative company with a mass of identical and indistinguishable firms is...

Few textbooks in mathematical economics cover optimal timing problems. Those which cover them do it scantly or in a rather clumsy way, making it hard for students to understand and apply the concept of optimal time in new contexts. Discussing the plentiful illustrations of optimal timing...

In introductory and even intermediate courses, the cobweb model is the reference dynamic model to justify market equilibrium and to illustrate how market equilibrium can be reached. Nonetheless, the cobweb model has at least two unattractive features: (i) that, in requiring at each time equality...

A general theoretical and empirical framework is developed for assessing the potential of a vertically integrated firm to foreclose downstream competitors. Using this framework a policymaker may also evaluate the empirical welfare effects from a vertically integrated firm raising rivals' costs....

This paper considers the production planning problem of a firm that produces a single product using a process that has multiple production lines (or machines) in parallel, each with a finite production capacity. Specifically, the firm has m parallel production lines, each with capacity of P...

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...

The performance of dynamic trading and investment strategies can be difficult to predict. Although not without its problems, analysis of the historical performance of a strategy can provide valuable insight into its general risk and return properties. Furthermore, historical analysis allows one...

It is now an accepted fact that the majority of financial markets worldwide are neither normal nor constant, and South Africa is no exception. One idea that can be used to understand such markets and has been gaining popularity recently is that of regimes and regime-switching models. In this...

A basket is a set of instruments that are held together because its statistical profile delivers a desired goal, such as hedging or trading, which cannot be achieved through the individual constituents or even subsets of them. Multiple procedures have been proposed to compute hedging and trading...