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Stable distributions in the Black-Litterman approach to asset allocation

Author

Listed:
  • Rosella Giacometti
  • Marida Bertocchi
  • Svetlozar T. Rachev
  • Frank J. Fabozzi

Abstract

The integration of quantitative asset allocation models and the judgment of portfolio managers and analysts (i.e. qualitative view) dates back to a series of papers by Black and Litterman in the early 1990s. In this paper we improve the classical Black-Litterman model by applying more realistic models for asset returns (the normal, the t-student, and the stable distributions) and by using alternative risk measures (dispersion-based risk measures, value at risk, conditional value at risk). Results are reported for monthly data and goodness of the models are tested through a rolling window of fixed size along a fixed horizon. Finally, we find that incorporation of the views of investors into the model provides information as to how the different distributional hypotheses can impact the optimal composition of the portfolio.

Suggested Citation

  • 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.
  • Handle: RePEc:taf:quantf:v:7:y:2007:i:4:p:423-433
    DOI: 10.1080/14697680701442731
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    Citations

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    Cited by:

    1. Broda, Simon A. & Haas, Markus & Krause, Jochen & Paolella, Marc S. & Steude, Sven C., 2013. "Stable mixture GARCH models," Journal of Econometrics, Elsevier, vol. 172(2), pages 292-306.
    2. Harris, Richard D.F. & Stoja, Evarist & Tan, Linzhi, 2017. "The dynamic Black–Litterman approach to asset allocation," European Journal of Operational Research, Elsevier, vol. 259(3), pages 1085-1096.
    3. repec:gam:jecnmx:v:4:y:2016:i:2:p:25:d:69492 is not listed on IDEAS
    4. Marc S. Paolella, 2016. "Stable-GARCH Models for Financial Returns: Fast Estimation and Tests for Stability," Econometrics, MDPI, Open Access Journal, vol. 4(2), pages 1-28, May.
    5. Humberto Valencia Herrera, 2011. "Value at Risk and Return from the Use of Bayesian Methods for Stress Testing in a World Asset Allocation and the 2008-2009 Crisis," Revista de Administración, Finanzas y Economía (Journal of Management, Finance and Economics), Tecnológico de Monterrey, Campus Ciudad de México, vol. 5(1), pages 33-49.
    6. Peng W. He & Andrew Grant & Joel Fabre, 2013. "Economic value of analyst recommendations in Australia: an application of the Black–Litterman asset allocation model," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 53(2), pages 441-470, June.
    7. Zhang, Zhichao & Chau, Frankie & Xie, Li, 2012. "Strategic Asset Allocation for Central Bank’s Management of Foreign Reserves: A new approach," MPRA Paper 43654, University Library of Munich, Germany.
    8. Kolm, Petter & Ritter, Gordon, 2017. "On the Bayesian interpretation of Black–Litterman," European Journal of Operational Research, Elsevier, vol. 258(2), pages 564-572.

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