English

The structure of optimal portfolio strategies for continuous time markets

Portfolio Management 2014-04-15 v5 Systems and Control Optimization and Control Probability

Abstract

The paper studies problem of continuous time optimal portfolio selection for a incom- plete market diffusion model. It is shown that, under some mild conditions, near optimal strategies for investors with different performance criteria can be constructed using a limited number of fixed processes (mutual funds), for a market with a larger number of available risky stocks. In other words, a dimension reduction is achieved via a relaxed version of the Mutual Fund Theorem.

Keywords

Cite

@article{arxiv.1105.1488,
  title  = {The structure of optimal portfolio strategies for continuous time markets},
  author = {Nikolai Dokuchaev},
  journal= {arXiv preprint arXiv:1105.1488},
  year   = {2014}
}