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Arbitrage risk induced by transaction costs

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  • Piotrowski, Edward W
  • Sładkowski, Jan

Abstract

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 is usually 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.

Suggested Citation

  • Piotrowski, Edward W & Sładkowski, Jan, 2004. "Arbitrage risk induced by transaction costs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 331(1), pages 233-239.
  • Handle: RePEc:eee:phsmap:v:331:y:2004:i:1:p:233-239
    DOI: 10.1016/j.physa.2003.09.015
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    References listed on IDEAS

    as
    1. Piotrowski, E.W. & Sładkowski, J., 2001. "What was the temperature of the Bagsik financial oscillator?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 301(1), pages 441-448.
    2. S. Illeris & G. Akehurst, 2001. "Introduction," The Service Industries Journal, Taylor & Francis Journals, vol. 21(1), pages 1-4, January.
    3. Edward W. Piotrowski & Jan Sladkowski, "undated". "The Thermodynamics of Portfolios," Departmental Working Papers 2, University of Bialtystok, Department of Theoretical Physics.
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    Citations

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    Cited by:

    1. Szczypińska, Anna & Piotrowski, Edward W., 2009. "Inconsistency of the judgment matrix in the AHP method and the decision maker’s knowledge," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(6), pages 907-915.
    2. Pakuła, Ireneusz & Piotrowski, Edward W. & Sładkowski, Jan, 2007. "Universality of measurements on quantum markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(1), pages 397-405.
    3. Domino, Krzysztof, 2012. "The use of the Hurst exponent to investigate the global maximum of the Warsaw Stock Exchange WIG20 index," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 156-169.
    4. Edward W. Piotrowski & Jan Sladkowski & Anna Szczypinska, 2007. "Reinforcement learning in market games," Papers 0710.0114, arXiv.org.
    5. Edward W. Piotrowski & Jan Sladkowski & Anna Szczypinska, "undated". "Reinforcement Learning in Market Games," Departmental Working Papers 30, University of Bialtystok, Department of Theoretical Physics.

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