Constructive no-arbitrage criterion under transaction costs in the case of finite discrete time

Mathematics – Probability

Scientific paper

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18 pages, 1 fig

Scientific paper

We obtain a constructive criterion for robust no-arbitrage in discrete-time
market models with transaction costs. This criterion is expressed in terms of
the supports of the regular conditional upper distributions of the solvency
cones. We also consider the model with a bank account. A method for
construction of arbitrage strategies is proposed.

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