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A Bayesian Approach for Large Asset Allocation

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  • Mihnea S. Andrei
  • John S. J. Hsu

Abstract

The Black-Litterman model combines investor’s personal views with historical data and gives optimal portfolio weights. In (Andrei & Hsu, 2020), they reviewed the original Black-Litterman model and modified it in order to fit it into a Bayesian framework, when a certain number of assets is considered. They used the idea by (Leonard & Hsu, 1992) for a multivariate normal prior on the logarithm of the covariance matrix. When implemented and applied to a large number of assets such as all the S&P500 companies, they ran into memory allocation and running time issues. In this paper, we reduce the dimensions by considering Bayesian factor models, which solve the asset allocation problems for a large number of assets. In addition, we will conduct sensitivity analysis for the confidence levels that the investors have to input.

Suggested Citation

  • Mihnea S. Andrei & John S. J. Hsu, 2021. "A Bayesian Approach for Large Asset Allocation," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 10(1), pages 1-58, January.
  • Handle: RePEc:ibn:ijspjl:v:10:y:2021:i:1:p:58
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    Cited by:

    1. Mihnea S. Andrei & Sujit K. Ghosh & Jian Zou, 2021. "Dynamic Correlation Multivariate Stochastic Volatility Black-Litterman With Latent Factors," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 10(2), pages 1-1, March.

    More about this item

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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