Capital growth under transaction costs: An analysis based on the von Neumann-Gale model

In the recent work of Dempster, Evstigneev and Taksar (2006) it has been shown that the von Neumann-Gale model of economic dynamics can serve as a convenient and natural framework for the analysis of questions of asset pricing and hedging under transaction costs. The present article focuses on a different area of applications of the model in finance. It demonstrates how methods and concerts developed in the context of von Neumann-Gale dynamics can be used to develop a theory of optimal financial growth under transaction costs.