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 [2008]. 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

Choueifaty, Yves and Froidure, Tristan and Reynier, Julien, Properties of the Most Diversified Portfolio (July 6, 2011). Journal of Investment Strategies, Vol.2(2), Spring 2013, pp.49-70. , Available at SSRN: or

Yves Choueifaty

TOBAM ( email )

49 avenue des Champs Elysées
Paris, 75008

Tristan Froidure (Contact Author)

TOBAM ( email )

49 avenue des Champs-Elysées
Paris, 75008

Julien Reynier

TOBAM ( email )

20, rue Quentin Bauchart
Paris, 75008

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