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A New Formulation of Maximum Diversification Indexation Using Rao's Quadratic Entropy

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  • Gilles Boevi Koumou
  • Kevin Moran

Abstract

This paper proposes a new formulation of the Maximum Diversification indexation strategy based on Rao’s Quadratic Entropy (RQE). It clarifies the investment problem underlying the Most Diversified Portfolio (MDP) formed with this strategy, identifies the source of the MDP’s out-of-sample performance, and suggests dimensions along which this performance can be improved. We show that these potential improvements are quantitatively important and are robust to portfolio turnover, portfolio risk, estimation window, and covariance matrix estimation.

Suggested Citation

  • Gilles Boevi Koumou & Kevin Moran, 2015. "A New Formulation of Maximum Diversification Indexation Using Rao's Quadratic Entropy," Cahiers de recherche 1509, Centre de recherche sur les risques, les enjeux économiques, et les politiques publiques.
    • Handle: RePEc:lvl:crrecr:1509
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    File URL: http://www.crrep.ca/sites/crrep.ca/files/fichier_publications/crrep-2015-09.pdf
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    References listed on IDEAS

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    1. repec:dau:papers:123456789/4688 is not listed on IDEAS
    2. Benoît Carmichael & Gilles Boevi Koumou & Kevin Moran, 2023. "Unifying Portfolio Diversification Measures Using Rao’s Quadratic Entropy," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 21(4), pages 769-802, December.
    3. Ravi Jagannathan & Tongshu Ma, 2003. "Risk Reduction in Large Portfolios: Why Imposing the Wrong Constraints Helps," Journal of Finance, American Finance Association, vol. 58(4), pages 1651-1683, August.
    4. Balduzzi, Pierluigi & Lynch, Anthony W., 1999. "Transaction costs and predictability: some utility cost calculations," Journal of Financial Economics, Elsevier, vol. 52(1), pages 47-78, April.
    5. Ledoit, Olivier & Wolf, Michael, 2003. "Improved estimation of the covariance matrix of stock returns with an application to portfolio selection," Journal of Empirical Finance, Elsevier, vol. 10(5), pages 603-621, December.
    6. Cazalet, Zelia & Grison, Pierre & Roncalli, Thierry, 2013. "The Smart Beta Indexing Puzzle," MPRA Paper 48823, University Library of Munich, Germany.
    7. repec:bla:jfinan:v:58:y:2003:i:4:p:1651-1684 is not listed on IDEAS
    8. Merton, Robert C., 1980. "On estimating the expected return on the market : An exploratory investigation," Journal of Financial Economics, Elsevier, vol. 8(4), pages 323-361, December.
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    Cited by:

    1. Marielle Jong, 2018. "Portfolio optimisation in an uncertain world," Journal of Asset Management, Palgrave Macmillan, vol. 19(4), pages 216-221, July.

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    More about this item

    Keywords

    Rao's Quadratic Entropy; Portfolio Diversification; Maximum Diversification; Indexation; Diversification Ratio; Most Diversified Portfolio;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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