Sparse portfolio selection via the sorted ℓ1-Norm

B-Tier
Journal: Journal of Banking & Finance
Year: 2020
Volume: 110
Issue: C

Authors (4)

Kremer, Philipp J. (not in RePEc) Lee, Sangkyun (not in RePEc) Bogdan, Małgorzata (not in RePEc) Paterlini, Sandra (Università degli Studi di Tren...)

Score contribution per author:

0.503 = (α=2.01 / 4 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

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.

Technical Details

RePEc Handle
repec:eee:jbfina:v:110:y:2020:i:c:s0378426619302614
Journal Field
Finance
Author Count
4
Added to Database
2026-01-28