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A Generalized Approach to Portfolio Optimization: Improving Performance by Constraining Portfolio Norms

DeMiguel, Victor ; Garlappi, Lorenzo ; Nogales, Francisco J ; Uppal, Raman

Management science, 2009-05, Vol.55 (5), p.798-812 [Periódico revisado por pares]

Hanover, MD: INFORMS

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Título:
A Generalized Approach to Portfolio Optimization: Improving Performance by Constraining Portfolio Norms
Autor: DeMiguel, Victor ; Garlappi, Lorenzo ; Nogales, Francisco J ; Uppal, Raman
Assuntos: Applied sciences ; Covariance ; Covariance matrices ; covariance matrix estimation ; Datasets ; Errors ; Estimating techniques ; Estimation ; estimation error ; Estimators ; Exact sciences and technology ; Financial engineering ; Financial portfolios ; Investments ; Investors ; Management science ; norm constraints ; Operational research and scientific management ; Operational research. Management science ; Optimization ; P values ; portfolio choice ; Portfolio management ; Portfolio selection ; Portfolio theory ; Risk theory. Actuarial science ; shrinkage estimator ; Statistical discrepancies ; Statistical variance ; Studies ; Wolves
É parte de: Management science, 2009-05, Vol.55 (5), p.798-812
Notas: ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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Descrição: We provide a general framework for finding portfolios that perform well out-of-sample in the presence of estimation error. This framework relies on solving the traditional minimum-variance problem but subject to the additional constraint that the norm of the portfolio-weight vector be smaller than a given threshold. We show that our framework nests as special cases the shrinkage approaches of Jagannathan and Ma (Jagannathan, R., T. Ma. 2003. Risk reduction in large portfolios: Why imposing the wrong constraints helps. J. Finance 58 1651–1684) and Ledoit and Wolf (Ledoit, O., M. Wolf. 2003. Improved estimation of the covariance matrix of stock returns with an application to portfolio selection. J. Empirical Finance 10 603–621, and Ledoit, O., M. Wolf. 2004. A well-conditioned estimator for large-dimensional covariance matrices. J. Multivariate Anal. 88 365–411) and the 1/ N portfolio studied in DeMiguel et al. (DeMiguel, V., L. Garlappi, R. Uppal. 2009. Optimal versus naive diversification: How inefficient is the 1/ N portfolio strategy? Rev. Financial Stud. 22 1915–1953). We also use our framework to propose several new portfolio strategies. For the proposed portfolios, we provide a moment-shrinkage interpretation and a Bayesian interpretation where the investor has a prior belief on portfolio weights rather than on moments of asset returns. Finally, we compare empirically the out-of-sample performance of the new portfolios we propose to 10 strategies in the literature across five data sets. We find that the norm-constrained portfolios often have a higher Sharpe ratio than the portfolio strategies in Jagannathan and Ma (2003), Ledoit and Wolf (2003, 2004), the 1/ N portfolio, and other strategies in the literature, such as factor portfolios.
Editor: Hanover, MD: INFORMS
Idioma: Inglês

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A Generalized Approach to Portfolio Optimization: Improving Performance by Constraining Portfolio Norms

DeMiguel, Victor ; Garlappi, Lorenzo ; Nogales, Francisco J ; Uppal, Raman

Hanover, MD: INFORMS

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