Viability of Markets with an Infinite Number of Assets

Constantinos Kardaras

No 241, Research Paper Series from Quantitative Finance Research Centre, University of Technology, Sydney

Abstract: A study of the boundedness in probability of the set of possible wealth outcomes of an economic agent is undertaken. The wealth-process set is structured with reasonable economic properties, instead of the usual practice of taking it to consist of stochastic integrals against a semimartingale integrator. We obtain the equivalence of the boundedness in probability of wealth outcomes with the existence of at least one supermartingale deflator, and, in case the set of wealth outcomes is closed in probability, with the existence of the num´eraire in the wealth-process set.

Pages: 11 pages
Date: 2008-12-01
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