Preprint
Article

Interpretable Asset Selection in Robust Portfolio Optimization: A Correlation Market Graph Sparsification Framework

Altmetrics

Downloads

10

Views

12

Comments

0

This version is not peer-reviewed

Submitted:

19 November 2024

Posted:

20 November 2024

You are already at the latest version

Alerts
Abstract
Investment return realizations often provide only partial distributional information, yet traditional portfolio optimization frameworks assume preserved statistical properties which can lead to modeling risk. To address this, we employ a robust optimization framework called Wasserstein distributionally robust optimization (WDRO) on the mean absolute deviation (MAD) of portfolio returns. This approach provides cross-distributional robustness via worst-case risk minimization over all distributions within a Wasserstein ball of radius ϵ centered on some empirical distribution estimate. However, as the number of assets increases, the optimization problem becomes high-dimensional and sensitive to signal noise. To alleviate this burden, we discard redundant assets from the investment universe by virtue of correlation market graph sparsification. To the best of our knowledge, the combination of market graph sparsification with the WDRO framework is a novel contribution introduced in this study. We demonstrate that this methodology delivers superior results in both computational efficiency and test-set return statistics when applied to real-world S&P500 stock price data from 2018 to 2024.
Keywords: 
Subject: Computer Science and Mathematics  -   Probability and Statistics
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
Prerpints.org logo

Preprints.org is a free preprint server supported by MDPI in Basel, Switzerland.

Subscribe

© 2024 MDPI (Basel, Switzerland) unless otherwise stated