Abstract

The aim of the paper was to present in a clear and unified way various results concerning the absence of arbitrage in the modelling of financial markets with proportional transaction costs. The absence of weak and strict arbitrage opportunities criteria in a finite time horizon discrete time market model are given. Sufficient conditions for the absence of simple arbitrage (i.e. arbitrage over simple investment strategies) in a continuous time market model are presented. Special attention is devoted to transactions without short selling.

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