Black-Litterman and ESG Portfolio Optimization
Abstract
We introduce a simple portfolio optimization strategy using ESG data with the Black-Litterman allocation framework. ESG scores are used as a bias for Stein shrinkage estimation of equilibrium risk premiums used in assigning Black-Litterman asset weights. Assets are modeled as multivariate affine normal-inverse Gaussian variables using CVaR as a risk measure. This strategy, though very simple, when employed with a soft turnover constraint is exceptionally successful. Portfolios are reallocated daily over a 4.7 year period, each with a different set of hyperparameters used for optimization. The most successful strategies have returns of approximately 40-45% annually.
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Alpern, A., Rachev, S. (2025). Black-Litterman and ESG Portfolio Optimization. arXiv preprint arXiv:2511.21850.
Aviv Alpern and Svetlozar Rachev. "Black-Litterman and ESG Portfolio Optimization." arXiv preprint arXiv:2511.21850 (2025).