Logo
Munich Personal RePEc Archive

Making Markowitz's Portfolio Optimization Theory Practically Useful

BAI, ZHIDONG and LIU, HUIXIA and WONG, WING-KEUNG (2016): Making Markowitz's Portfolio Optimization Theory Practically Useful.

[thumbnail of MPRA_paper_74360.pdf]
Preview
PDF
MPRA_paper_74360.pdf

Download (194kB) | Preview

Abstract

The traditional estimated return for the Markowitz mean-variance optimization has been demonstrated to seriously depart from its theoretic optimal return. We prove that this phenomenon is natural and the estimated optimal return is always $\sqrt{\gamma}$ times larger than its theoretic counterpart where $\gamma = \frac 1{1-y}$ with $y$ as the ratio of the dimension to sample size. Thereafter, we develop new bootstrap-corrected estimations for the optimal return and its asset allocation and prove that these bootstrap-corrected estimates are proportionally consistent with their theoretic counterparts. Our theoretical results are further confirmed by our simulations, which show that the essence of the portfolio analysis problem could be adequately captured by our proposed approach. This greatly enhances the practical uses of the Markowitz mean-variance optimization procedure.

Atom RSS 1.0 RSS 2.0

Contact us: mpra@ub.uni-muenchen.de

This repository has been built using EPrints software.

MPRA is a RePEc service hosted by Logo of the University Library LMU Munich.