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Dual method for continuous-time Markowitz's Problems with nonlinear wealth equations

Portfolio Management 2008-12-02 v1 Probability

Abstract

Continuous-time mean-variance portfolio selection model with nonlinear wealth equations and bankruptcy prohibition is investigated by the dual method. A necessary and sufficient condition which the optimal terminal wealth satisfies is obtained through a terminal perturbation technique. It is also shown that the optimal wealth and portfolio is the solution of a forward-backward stochastic differential equation with constraints.

Keywords

Cite

@article{arxiv.0806.4834,
  title  = {Dual method for continuous-time Markowitz's Problems with nonlinear wealth equations},
  author = {Shaolin Ji},
  journal= {arXiv preprint arXiv:0806.4834},
  year   = {2008}
}

Comments

18 pages

R2 v1 2026-06-21T10:55:45.825Z