Optimal investment with random endowments in incomplete markets

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dc.creatorHugonnier, Julien
dc.creatorKramkov, Dmitry
dc.date2004-05-14
dc.date.accessioned2026-07-07T12:11:09Z
dc.date.available2026-07-07T12:11:09Z
dc.descriptionIn this paper, we study the problem of expected utility maximization of an agent who, in addition to an initial capital, receives random endowments at maturity. Contrary to previous studies, we treat as the variables of the optimization problem not only the initial capital but also the number of units of the random endowments. We show that this approach leads to a dual problem, whose solution is always attained in the space of random variables. In particular, this technique does not require the use of finitely additive measures and the related assumption that the endowments are bounded.
dc.identifierhttps://arxiv.org/abs/math/0405293
dc.identifierhttp://arxiv.org/abs/math/0405293
dc.identifierAnnals of Applied Probability 2004, Vol. 14, No. 2, 845-864
dc.identifierdoi:10.1214/105051604000000134
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210138
dc.subjectProbability
dc.subjectPortfolio Management
dc.subject90A09, 90A10, 90C26. (Primary)
dc.titleOptimal investment with random endowments in incomplete markets
dc.typetext

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