Multivariate utility maximization with proportional transaction costs

Simple item page
dc.creatorCampi, Luciano
dc.creatorOwen, Mark P.
dc.date2008-11-24
dc.date2009-04-08
dc.date.accessioned2026-07-07T13:01:05Z
dc.date.available2026-07-07T13:01:05Z
dc.descriptionWe present an optimal investment theorem for a currency exchange model with random and possibly discontinuous proportional transaction costs. The investor's preferences are represented by a multivariate utility function, allowing for simultaneous consumption of any prescribed selection of the currencies at a given terminal date. We prove the existence of an optimal portfolio process under the assumption of asymptotic satiability of the value function. Sufficient conditions for asymptotic satiability of the value function include reasonable asymptotic elasticity of the utility function, or a growth condition on its dual function. We show that the portfolio optimization problem can be reformulated in terms of maximization of a terminal liquidation utility function, and that both problems have a common optimizer.
dc.descriptionAddition of two examples (Examples 3.2 and 3.13) and a few other, minor presentational improvements
dc.identifierhttps://arxiv.org/abs/0811.3889
dc.identifierhttp://arxiv.org/abs/0811.3889
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226043
dc.subjectProbability
dc.subjectOptimization and Control
dc.subjectPortfolio Management
dc.subject91B28; 49N15; 49J40; 49J55
dc.titleMultivariate utility maximization with proportional transaction costs
dc.typetext

Files

Collections

arXiv