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ARBITRAGE AND FREE LUNCH WITH BOUNDED RISK FOR UNBOUNDED CONTINUOUS PROCESSES
Freddy Delbaen 1 Walter Schachermayer 2
  1 Institute of Actuarial Sciences, Department of Mathematics, Vrije Universiteit Brussel, Brussels, Belgium   2 Universität Wien, Institut für Mathematik, Wien, Austria
Copyright 1994 Blackwell Publishers
KEYWORDS
martingale • risk-neutral measure • local martingale • no free lunch • arbitrage • bounded risk • Bessel process

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.


Manuscript received July 1992; final revision received December 1993.

DIGITAL OBJECT IDENTIFIER (DOI)
10.1111/j.1467-9965.1994.tb00063.x About DOI

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