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- Title
An Entropy-Based Approach to Portfolio Optimization.
- Authors
Mercurio, Peter Joseph; Wu, Yuehua; Xie, Hong
- Abstract
This paper presents an improved method of applying entropy as a risk in portfolio optimization. A new family of portfolio optimization problems called the return-entropy portfolio optimization (REPO) is introduced that simplifies the computation of portfolio entropy using a combinatorial approach. REPO addresses five main practical concerns with the mean-variance portfolio optimization (MVPO). Pioneered by Harry Markowitz, MVPO revolutionized the financial industry as the first formal mathematical approach to risk-averse investing. REPO uses a mean-entropy objective function instead of the mean-variance objective function used in MVPO. REPO also simplifies the portfolio entropy calculation by utilizing combinatorial generating functions in the optimization objective function. REPO and MVPO were compared by emulating competing portfolios over historical data and REPO significantly outperformed MVPO in a strong majority of cases.
- Subjects
CAPITAL assets pricing model; GENERATING functions; TOPOLOGICAL entropy
- Publication
Entropy, 2020, Vol 22, Issue 3, p332
- ISSN
1099-4300
- Publication type
Article
- DOI
10.3390/e22030332