Mean-Variance Portfolio Optimization Based on Ordinal Information
34 Pages Posted: 25 Apr 2019 Last revised: 23 Oct 2019
Date Written: March 25, 2019
We propose a new approach that allows for incorporating qualitative views, such as ordering information, into estimates of future asset returns within the Black-Litterman model. We develop a mathematical framework and numerical computation methods for this setting. We find importance sampling to be the most appropriate numerical approach in terms of accuracy and computation time. Using empirical stock market data, we find our extended Black-Litterman model to process ordering information on future asset returns better than two previously suggested approaches. Our new estimator is successfully evaluated in the context of mean-variance portfolio optimization.
Keywords: Return Estimation, Qualitative Views, Portfolio Optimization, Black-Litterman Model
JEL Classification: C11, G11, G17
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