We discuss the time evolution of quotation of stocks and commodities and show that they form an Ising chain. We show that transaction costs induce arbitrage risk that usually is neglected. The full analysis of the portfolio theory is computationally complex but the latest development in quantum computation theory suggests that such a task can be performed on quantum computers.
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Paper provided by University of Bialtystok, Department of Theoretical Physics in its series Departmental Working Papers with number
17.
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