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Unifying Portfolio Diversification Measures Using Rao’s Quadratic Entropy

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  • Benoît Carmichael

    (Université Laval)

  • Gilles Boevi Koumou

    (Université de Sherbrooke)

  • Kevin Moran

    (Université Laval)

Abstract

This paper uses Rao’s Quadratic Entropy (RQE), a general measure of diversity of population, to analyze portfolio diversification. We provide both theoretical and empirical evidence that RQE is a valid, flexible and unifying approach for quantifying and managing the benefits of portfolio correlation diversification.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:jqecon:v:21:y:2023:i:4:d:10.1007_s40953-023-00368-5
    DOI: 10.1007/s40953-023-00368-5
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    Cited by:

    1. Gilles Boevi Koumou & Georges Dionne, 2022. "Coherent Diversification Measures in Portfolio Theory: An Axiomatic Foundation," Risks, MDPI, vol. 10(11), pages 1-19, October.
    2. Koumou, Gilles Boevi, 2020. "Mean-variance model and investors’ diversification attitude: A theoretical revisit," Finance Research Letters, Elsevier, vol. 37(C).
    3. Benoit Carmichael & Gilles Boevi Koumou & Kevin Moran, 2021. "The political reception of innovations," Cahiers de recherche 2107, Centre de recherche sur les risques, les enjeux économiques, et les politiques publiques.
    4. Benoît Carmichael & Gilles Boevi Koumou & Kevin Moran, 2021. "The RQE-CAPM : New insights about the pricing of idiosyncratic risk," CIRANO Working Papers 2021s-28, CIRANO.
    5. Benoit Carmichael & Gilles Boevi Koumou & Kevin Moran, 2015. "A New Formulation of Maximum Diversification Indexation Using Rao's Quadratic Entropy," Cahiers de recherche 1519, CIRPEE.
    6. Gilles Boevi Koumou, 2020. "Diversification and portfolio theory: a review," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 34(3), pages 267-312, September.
    7. Contreras, Javier & Rodríguez, Yeny E. & Sosa, Aníbal, 2017. "Construction of an efficient portfolio of power purchase decisions based on risk-diversification tradeoff," Energy Economics, Elsevier, vol. 64(C), pages 286-297.
    8. 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

    Diversity index; Rao’s Quadratic Entropy; Portfolio diversification; Correlation diversification; Diversification return; Diversification ratio; Mean-variance model;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C4 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G1 - Financial Economics - - General Financial Markets
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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