Growth-optimal investments and numeraire portfolios under transaction costs
Wael Bahsoun,
Igor V. Evstigneev and
Michael I. Taksar
Chapter 38 in Handbook of the Fundamentals of Financial Decision Making:In 2 Parts, 2013, pp 789-808 from World Scientific Publishing Co. Pte. Ltd.
Abstract:
The aim of this work is to extend the capital growth theory (Kelly, Latané, Breiman, Cover, Ziemba, Thorp, MacLean, Browne, Platen, Heath, and others) to asset market models with transaction costs. We define a natural generalization of the notion of a numeraire portfolio proposed by Long and show how such portfolios can be used for constructing growth-optimal investment strategies. The analysis is based on the classical von Neumann-Gale model of economic dynamics, a stochastic version of which we use as a framework for the modeling of financial markets with frictions.
Keywords: Financial Decision Making; Asset Pricing; Prospect Theory; Utility Theory; Risk Aversion; Static Portfolio Theory; Stochastic Dominance; Dynamic Modeling; Dynamic Portfolio Theory; Tactical Asset Allocation; Kelly Strategy; Capital Growth (search for similar items in EconPapers)
Date: 2013
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