English

Risk minimization and portfolio diversification

Portfolio Management 2014-12-16 v2 Optimization and Control

Abstract

We consider the problem of minimizing capital at risk in the Black-Scholes setting. The portfolio problem is studied given the possibility that a correlation constraint between the portfolio and a financial index is imposed. The optimal portfolio is obtained in closed form. The effects of the correlation constraint are explored; it turns out that this portfolio constraint leads to a more diversified portfolio.

Keywords

Cite

@article{arxiv.1411.6657,
  title  = {Risk minimization and portfolio diversification},
  author = {Farzad Pourbabaee and Minsuk Kwak and Traian A. Pirvu},
  journal= {arXiv preprint arXiv:1411.6657},
  year   = {2014}
}
R2 v1 2026-06-22T07:10:43.091Z