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Bayesian Portfolio Selection with Gaussian Mixture Returns

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  • Qian, Hang

Abstract

Markowitz portfolio selection is challenged by huge implementation barriers. This paper addresses the parameter uncertainty and deviation from normality in a Bayesian framework. The non-normal asset returns are modeled as finite Gaussian mixtures. Gibbs sampler is employed to obtain draws from the posterior predictive distribution of asset returns. Optimal portfolio weights are then constructed so as to maximize agents’ expected utility. Simple experiment suggests that our Bayesian portfolio selection procedure performs exceedingly well.

Suggested Citation

  • Qian, Hang, 2009. "Bayesian Portfolio Selection with Gaussian Mixture Returns," MPRA Paper 32688, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:32688
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    References listed on IDEAS

    as
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    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    portfolio selection; Gaussian mixtures; Bayesian;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General

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