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Projective System Approach To The Martingale Characterization Of The Absence Of Arbitrage

  • Alejandro Balbás


  • Miguel Ángel Mirás


  • María José Muñoz-Bouzo


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    The equivalence between the absence of arbitrage and the existence of an equivalent martingale measure fails when an infinite number of trading dates is considered. By enlarging the set of states of nature and the probability measure through a projective system of topological spaces and Radon measures, we characterize the absence of arbitrage when the time set is countable.

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    Paper provided by Universidad Carlos III, Departamento de Economía de la Empresa in its series Business Economics Working Papers with number wb011505.

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    Date of creation: Mar 2001
    Date of revision:
    Handle: RePEc:cte:wbrepe:wb011505
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    1. J. Jacod & A.N. Shiryaev, 1998. "Local martingales and the fundamental asset pricing theorems in the discrete-time case," Finance and Stochastics, Springer, vol. 2(3), pages 259-273.
    2. W. Schachermayer, 1994. "Martingale Measures For Discrete-Time Processes With Infinite Horizon," Mathematical Finance, Wiley Blackwell, vol. 4(1), pages 25-55.
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