Sparse portfolio selection via the sorted ℓ1-Norm

Research output: Contribution to journalArticle


title = "Sparse portfolio selection via the sorted ℓ1-Norm",
abstract = "We introduce a financial portfolio optimization framework that allows to automatically select the relevant assets and estimate their weights by relying on a sorted ℓ1-Norm penalization, henceforth SLOPE. To solve the optimization problem, we develop a new efficient algorithm, based on the Alternating Direction Method of Multipliers. SLOPE is able to group constituents with similar correlation properties, and with the same underlying risk factor exposures. Depending on the choice of the penalty sequence, our approach can span the entire set of optimal portfolios on the risk-diversification frontier, from minimum variance to the equally weighted. Our empirical analysis shows that SLOPE yields optimal portfolios with good out-of-sample risk and return performance properties, by reducing the overall turnover, through more stable asset weight estimates. Moreover, using the automatic grouping property of SLOPE, new portfolio strategies, such as sparse equally weighted portfolios, can be developed to exploit the data-driven detected similarities across assets.",
keywords = "Alternating direction method of multipliers, Markowitz model, Portfolio management, Sorted ℓ-Norm regularization",
author = "Kremer, {Philipp J.} and Sangkyun Lee and Małgorzata Bogdan and Sandra Paterlini",
year = "2020",
doi = "10.1016/j.jbankfin.2019.105687",
language = "English",
volume = "110",
journal = "Journal of Banking and Finance",
issn = "1872-6372",
publisher = "Elsevier",