English

Optimal investment with intermediate consumption under no unbounded profit with bounded risk

Portfolio Management 2017-09-20 v5 Probability

Abstract

We consider the problem of optimal investment with intermediate consumption in a general semimartingale model of an incomplete market, with preferences being represented by a utility stochastic field. We show that the key conclusions of the utility maximization theory hold under the assumptions of no unbounded profit with bounded risk (NUPBR) and of the finiteness of both primal and dual value functions.

Keywords

Cite

@article{arxiv.1509.01672,
  title  = {Optimal investment with intermediate consumption under no unbounded profit with bounded risk},
  author = {Huy N. Chau and Andrea Cosso and Claudio Fontana and Oleksii Mostovyi},
  journal= {arXiv preprint arXiv:1509.01672},
  year   = {2017}
}

Comments

10 pages, revised version, to appear in the Applied Probability Journals