Properties of the Most Diversified Portfolio
Journal of Investment Strategies, Vol.2(2), Spring 2013, pp.49-70.
30 Pages Posted: 27 Jul 2011 Last revised: 22 May 2017
Date Written: July 6, 2011
This article expands upon “Toward Maximum Diversification” by Choueifaty and Coignard . We present new mathematical properties of the Diversification Ratio and Most Diversified Portfolio (MDP), and investigate the optimality of the MDP in a mean-variance framework. We also introduce a set of “Portfolio Invariance Properties,” providing the basic rules an unbiased portfolio construction process should respect. The MDP is then compared in light of these rules to popular methodologies (equal weights, equal risk contribution, minimum variance), and their performance is investigated over the past decade, using the MSCI World as reference universe. We believe that the results obtained in this article show that the MDP is a strong candidate for being the un-diversifiable portfolio, and as such delivers investors with the full benefit of the equity premium.
Keywords: Diversification Ratio, Most Diversified Portfolio, Portoflio Invariance Properties, Portfolio Biases, Equity Risk Premium, CAPM, Equal Weighted Portfolio, Minimum Variance Portfolio, Equal Risk Contribution Portfolio
JEL Classification: G11, G12
Suggested Citation: Suggested Citation