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A note on arbitrage under transaction costs

Author

Listed:
  • Irle, Albrecht
  • Prelle, Claas

Abstract

Guasoni (2006) introduced a simple condition for the absence of arbitrage opportunities. In this note we show that his results remain valid under a weaker notion of arbitrage which arises by excluding liquidation costs from the value process of a portfolio.

Suggested Citation

  • Irle, Albrecht & Prelle, Claas, 2008. "A note on arbitrage under transaction costs," Kiel Working Papers 1450, Kiel Institute for the World Economy (IfW Kiel).
    • Handle: RePEc:zbw:ifwkwp:1450
    as

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    File URL: https://www.econstor.eu/bitstream/10419/24845/1/579109224.PDF
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    References listed on IDEAS

    as
    1. Paolo Guasoni, 2006. "No Arbitrage Under Transaction Costs, With Fractional Brownian Motion And Beyond," Mathematical Finance, Wiley Blackwell, vol. 16(3), pages 569-582, July.
    2. Klüppelberg, Claudia & Kühn, Christoph, 2004. "Fractional Brownian motion as a weak limit of Poisson shot noise processes--with applications to finance," Stochastic Processes and their Applications, Elsevier, vol. 113(2), pages 333-351, October.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Arbitrage; transaction costs; fractional Brownian motion;
    All these keywords.

    JEL classification:

    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General

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