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Sequences of Arbitrages

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  • Victor Kozyakin
  • Brian O'Callaghan
  • Alexei Pokrovskii

Abstract

The goal of this article is to understand some interesting features of sequences of arbitrage operations, which look relevant to various processes in Economics and Finances. In the second part of the paper, analysis of sequences of arbitrages is reformulated in the linear algebra terms. This admits an elegant geometric interpretation of the problems under consideration linked to the asynchronous systems theory. We feel that this interpretation will be useful in understanding more complicated, and more realistic, mathematical models in economics.

Suggested Citation

  • Victor Kozyakin & Brian O'Callaghan & Alexei Pokrovskii, 2010. "Sequences of Arbitrages," Papers 1004.0561, arXiv.org.
  • Handle: RePEc:arx:papers:1004.0561
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    File URL: http://arxiv.org/pdf/1004.0561
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    References listed on IDEAS

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    1. Ivan O. KITOV & Oleg I. KITOV & Svetlana A. DOLINSKAYA, 2009. "Modelling Real Gdp Per Capita In The Usa:Cointegration Tests," Journal of Applied Economic Sciences, Spiru Haret University, Faculty of Financial Management and Accounting Craiova, vol. 4(1(7)_ Spr).
    2. Kitov, Ivan & Kitov, Oleg, 2007. "Exact prediction of S&P 500 returns," MPRA Paper 6056, University Library of Munich, Germany.
    3. Ivan O. KITOV, 2010. "Predicting Real Economic Growth In France, Germany, New Zealand, And The United Kingdom," Journal of Applied Economic Sciences, Spiru Haret University, Faculty of Financial Management and Accounting Craiova, vol. 5(1(11)_Spr), pages 48-54.
    4. Ivan O. KITOV, 2009. "The Evolution Of Real Gdp Per Capita In Developed Countries," Journal of Applied Economic Sciences, Spiru Haret University, Faculty of Financial Management and Accounting Craiova, vol. 4(2(8)_ Sum).
    5. David F. Hendry & Katarina Juselius, 2001. "Explaining Cointegration Analysis: Part II," The Energy Journal, International Association for Energy Economics, vol. 0(Number 1), pages 75-120.
    6. Kitov, Ivan & Kitov, Oleg & Dolinskaya, Svetlana, 2008. "Comprehensive macro-model for the U.S. economy," MPRA Paper 9808, University Library of Munich, Germany.
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