Optimal Portfolios Under a Correlation Constraint
Forthcoming, Quantitative Finance
27 Pages Posted: 25 May 2016 Last revised: 2 Nov 2017
Date Written: August 30, 2017
Pourbabaee, Kwak, and Pirvu (2016) determine the constant-mix strategy that minimizes Capital at Risk (CaR) under a negative correlation constraint with a benchmark. We extend their result to any increasing law invariant objective function without condition on the sign of the correlation. In doing so we use characterization results of optimal portfolios that were recently established in Bernard, Boyle, and Vanduffel (2014a). We illustrate the theoretical results by establishing the portfolio that has maximum Sharpe ratio under a correlation constraint.
Keywords: Optimal portfolio selection, correlation constraint, Sharpe ratio, Mean-variance, Capital at Risk
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