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Construction, management, and performance of sparse Markowitz portfolios

Author

Listed:
  • Henriques Julie

    (Tea-Cegos Deployment, 11 rue Denis Papin, F-25000 Besançon, France)

  • Ortega Juan-Pablo

    (Centre National de la Recherche Scientifique, Laboratoire de Mathématiques de Besançon, Université de Franche-Comté, UFR des Sciences et Techniques, 16, route de Gray, F-25030 Besançon cedex, France)

Abstract

We study different implementations of the sparse portfolio construction and rebalancing method introduced by Brodie et al. (Brodie, J., I. Daubechies, C. De Mol, D. Giannone, and I. Loris. 2009. “Sparse and Stable Markowitz Portfolios.” PNAS 106 (30): 12267–12272). This technique is based on the use of a l1-norm (sum of the absolute values) type penalization on the portfolio weights vector that regularizes the Markowitz portfolio selection problem by automatically eliminating the dynamical redundancies present in the time evolution of asset prices. We make specific recommendations as to the different estimation techniques for the parameters needed in the use of the method and we prove its good performance in realistic situations involving different rebalancing frequencies and transaction costs. Our empirical findings show that the beneficial effects of the use of sparsity constraints are robust with respect to the choice of trend and covariance estimation methods used in its implementation.

Suggested Citation

  • Henriques Julie & Ortega Juan-Pablo, 2014. "Construction, management, and performance of sparse Markowitz portfolios," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 18(4), pages 1-20, September.
    • Handle: RePEc:bpj:sndecm:v:18:y:2014:i:4:p:20:n:1
    DOI: 10.1515/snde-2012-0010
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    References listed on IDEAS

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    1. Robert F. Engle & Kevin Sheppard, 2001. "Theoretical and Empirical properties of Dynamic Conditional Correlation Multivariate GARCH," NBER Working Papers 8554, National Bureau of Economic Research, Inc.
    2. Victor DeMiguel & Lorenzo Garlappi & Raman Uppal, 2009. "Optimal Versus Naive Diversification: How Inefficient is the 1-N Portfolio Strategy?," The Review of Financial Studies, Society for Financial Studies, vol. 22(5), pages 1915-1953, May.
    3. Bollerslev, Tim, 1990. "Modelling the Coherence in Short-run Nominal Exchange Rates: A Multivariate Generalized ARCH Model," The Review of Economics and Statistics, MIT Press, vol. 72(3), pages 498-505, August.
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