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On the closure in the Emery topology of semimartingale wealth-process sets

Kardaras, Constantinos (2012) On the closure in the Emery topology of semimartingale wealth-process sets. The annals of applied probability, arXiv . ISSN 1050-5164 (In Press)

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Abstract

A wealth-process set is abstractly defined to consist of nonnegative cadlag processes containing a strictly positive semimartingale and satisfying an intuitive re-balancing property. Under the condition of absence of arbitrage of the first kind, it is established that all wealth processes are semimartingales, and that the closure of the wealth-process set in the Emery topology contains all "optimal" wealth processes.

Item Type: Article
Official URL: http://www.imstat.org/aap/
Additional Information: © 2012 Institute of Mathematical Statistics
Uncontrolled Keywords: wealth-process sets, semimartingales, Emery topology, utility maximization
Library of Congress subject classification: H Social Sciences > HA Statistics
H Social Sciences > HB Economic Theory
Journal of Economic Literature Classification System: G - Financial Economics > G1 - General Financial Markets > G10 - General
Sets: Departments > Statistics
Collections > Economists Online
Rights: http://www.lse.ac.uk/library/rights/LSERO.htm
URL: http://eprints.lse.ac.uk/44996/

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