On the density of properly maximal claims in financial markets with transaction costs

dc.creatorJacka, Saul
dc.creatorBerkaoui, Abdelkarem
dc.date2006-02-26
dc.date2007-05-02
dc.date.accessioned2026-07-07T12:11:15Z
dc.date.available2026-07-07T12:11:15Z
dc.descriptionWe consider trading in a financial market with proportional transaction costs. In the frictionless case, claims are maximal if and only if they are priced by a consistent price process--the equivalent of an equivalent martingale measure. This result fails in the presence of transaction costs. A properly maximal claim is one which does have this property. We show that the properly maximal claims are dense in the set of maximal claims (with the topology of convergence in probability).
dc.descriptionPublished at http://dx.doi.org/10.1214/105051606000000880 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0602592
dc.identifierhttp://arxiv.org/abs/math/0602592
dc.identifierAnnals of Applied Probability 2007, Vol. 17, No. 2, 716-740
dc.identifierdoi:10.1214/105051606000000880
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210167
dc.subjectProbability
dc.subjectOptimization and Control
dc.subjectComputational Finance
dc.subject91B28 (Primary); 52A07, 60H05, 91B26, 90C29 (Secondary)
dc.titleOn the density of properly maximal claims in financial markets with transaction costs
dc.typetext

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