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On the Properties of Equally-Weighted Risk Contributions Portfolios


Sébastien Maillard


Lyxor Asset Management

Thierry Roncalli


Universite d'Evry

Jerome Teiletche


Lombard Odier Investment Managers

September 22, 2008


Abstract:     
Minimum variance and equally-weighted portfolios have recently prompted great interest both from academic researchers and market practitioners, as their construction does not rely on expected average returns and is therefore assumed to be robust. In this paper, we consider a related approach, where the risk contribution from each portfolio components is made equal, which maximizes diversification of risk (at least on an ex-ante basis). Roughly speaking, the resulting portfolio is similar to a minimum variance portfolio subject to a diversification constraint on the weights of its components. We derive the theoretical properties of such a portfolio and show that its volatility is located between those of minimum variance and equally-weighted portfolios. Empirical applications confirm that ranking. All in all, equally-weighted risk contributions portfolios appear to be an attractive alternative to minimum variance and equally-weighted portfolios and might be considered a good trade-off between those two approaches in terms of absolute level of risk, risk budgeting and diversification.

Number of Pages in PDF File: 23

Keywords: Asset allocation, risk contributions, minimum-variance, portfolio construction, risk budgeting, portfolio diversification

JEL Classification: G11, C60

working papers series


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Date posted: September 23, 2008 ; Last revised: June 5, 2009

Suggested Citation

Maillard, Sébastien, Roncalli, Thierry and Teiletche, Jerome, On the Properties of Equally-Weighted Risk Contributions Portfolios (September 22, 2008). Available at SSRN: http://ssrn.com/abstract=1271972 or http://dx.doi.org/10.2139/ssrn.1271972

Contact Information

Sébastien Maillard
Lyxor Asset Management ( email )
Paris
France
Thierry Roncalli (Contact Author)
Universite d'Evry ( email )
Bd. Francois Mitterrand
F-91025 Evry Cedex, 91028
France
Jerome Teiletche
Lombard Odier Investment Managers ( email )
6 allée des Morgines
Petit-Lancy, 1213
Switzerland
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