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On the Bayesian interpretation of Black–Litterman

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  • Kolm, Petter
  • Ritter, Gordon

Abstract

We present the most general model of the type considered by Black and Litterman (1991) after fully clarifying the duality between Black–Litterman optimization and Bayesian regression. Our generalization is itself a special case of a Bayesian network or graphical model. As an example, we work out in full detail the treatment of views on factor risk premia in the context of APT. We also consider a more speculative example in which the portfolio manager specifies a view on realized volatility by trading a variance swap.

Suggested Citation

  • Kolm, Petter & Ritter, Gordon, 2017. "On the Bayesian interpretation of Black–Litterman," European Journal of Operational Research, Elsevier, vol. 258(2), pages 564-572.
  • Handle: RePEc:eee:ejores:v:258:y:2017:i:2:p:564-572
    DOI: 10.1016/j.ejor.2016.10.027
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    References listed on IDEAS

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    10. Rosella Giacometti & Marida Bertocchi & Svetlozar T. Rachev & Frank J. Fabozzi, 2007. "Stable distributions in the Black-Litterman approach to asset allocation," Quantitative Finance, Taylor & Francis Journals, vol. 7(4), pages 423-433.
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    Cited by:

    1. Palczewski, Andrzej & Palczewski, Jan, 2019. "Black–Litterman model for continuous distributions," European Journal of Operational Research, Elsevier, vol. 273(2), pages 708-720.
    2. Tamara Teplova & Mikova Evgeniia & Qaiser Munir & Nataliya Pivnitskaya, 2023. "Black-Litterman model with copula-based views in mean-CVaR portfolio optimization framework with weight constraints," Economic Change and Restructuring, Springer, vol. 56(1), pages 515-535, February.

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