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No-arbitrage in discrete-time markets with proportional transaction costs and general information structure

  • Bouchard, Bruno
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    We discuss the no-arbitrage conditions in a general framework for discrete-time models of financial markets with proportional transaction costs and general information structure. We extend the results of Kabanov et al. (Finance Stoch 6(3):371–382, 2002; Finance Stoch 7(3):403–411, 2003) and Schachermayer (Math Finance 14(1):19–48, 2004) to the case where bid-ask spreads are not known with certainty. In the “no-friction” case, we retrieve the result of Kabanov and Stricker (Preprint 2003). Additionally, we propose a new modelization based on simple orders which appears to be powerful whatever the information structure is.

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    Paper provided by Paris Dauphine University in its series Economics Papers from University Paris Dauphine with number 123456789/1850.

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    Date of creation: Apr 2006
    Date of revision:
    Publication status: Published in Finance and Stochastics, 2006, Vol. 10, no. 2. pp. 276-297.Length: 21 pages
    Handle: RePEc:dau:papers:123456789/1850
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