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ARBITRAGE AND FREE LUNCH WITH BOUNDED RISK FOR UNBOUNDED CONTINUOUS PROCESSES
Authors:Freddy Delbaen  Walter Schachermayer
Affiliation:Institute of Actuarial Sciences, Department of Mathematics, Vrije Universiteit Brussel, Brussels, Belgium;Universität Wien, Institut für Mathematik, Wien, Austria
Abstract:
We give two examples showing that for unbounded continuous price processes, the no-free-lunch assumption and the existence of an equivalent martingale measure are not equivalent. In fact it turns out that the notion of an equivalent local martingale measure is natural in this context.
Keywords:martingale    risk-neutral measure    local martingale    no free lunch    arbitrage    bounded risk    Bessel process
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