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Do higher moments really matter in portfolio choice?

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  • Athayde, Gustavo M. de
  • Flôres Junior, Renato Galvão

Abstract

We present explicit formulas for evaluating the difference between Markowitz weights and those from optimal portfolios, with the same given return, considering either asymmetry or kurtosis. We prove that, whenever the higher moment constraint is not binding, the weights are never the same. If, due to special features of the first and second moments, the difference might be negligible, in quite many cases it will be very significant. An appealing illustration, when the designer wants to incorporate an asset with quite heavy tails, but wants to moderate this effect, further supports the argument.

Suggested Citation

  • Athayde, Gustavo M. de & Flôres Junior, Renato Galvão, 2004. "Do higher moments really matter in portfolio choice?," FGV/EPGE Economics Working Papers (Ensaios Economicos da EPGE) 574, FGV/EPGE - Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  • Handle: RePEc:fgv:epgewp:574
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    References listed on IDEAS

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    Cited by:

    1. Barbosa, Fernando de Holanda, 2005. "The contagion effect of public debt on monetary policy: the brazilian experience," FGV/EPGE Economics Working Papers (Ensaios Economicos da EPGE) 591, FGV/EPGE - Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
    2. Fernando Barbosa & Alexandre Cunha & Elvia Sallum, 2006. "Competitive equilibrium hyperinflation under rational expectations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(1), pages 181-195, September.
    3. Horowitz, Andrew W. & Flôres Junior, Renato Galvão, 2004. "Beyond indifferent players: on the existence of prisoners dilemmas in games with amicable and adversarial preferences," FGV/EPGE Economics Working Papers (Ensaios Economicos da EPGE) 576, FGV/EPGE - Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).

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