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Portfolios and the market geometry

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  • Samuel Eleut'erio
  • Tanya Ara'ujo
  • R. Vilela Mendes

Abstract

A geometric analysis of the time series of returns has been performed in the past and it implied that the most of the systematic information of the market is contained in a space of small dimension. Here we have explored subspaces of this space to find out the relative performance of portfolios formed from the companies that have the largest projections in each one of the subspaces. It was found that the best performance portfolios are associated to some of the small eigenvalue subspaces and not to the dominant directions in the distances matrix. This occurs in such a systematic fashion over an extended period (1990-2008) that it may not be a statistical accident.

Suggested Citation

  • Samuel Eleut'erio & Tanya Ara'ujo & R. Vilela Mendes, 2011. "Portfolios and the market geometry," Papers 1108.4102, arXiv.org.
    • Handle: RePEc:arx:papers:1108.4102
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    References listed on IDEAS

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    1. Vilela Mendes, R. & Araújo, Tanya & Louçã, Francisco, 2003. "Reconstructing an economic space from a market metric," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 323(C), pages 635-650.
    2. Tanya Araujo & Francisco Louca, 2007. "The geometry of crashes. A measure of the dynamics of stock market crises," Quantitative Finance, Taylor & Francis Journals, vol. 7(1), pages 63-74.
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    Cited by:

    1. Maximilian Göbel & Tanya Araújo, 2018. "The 21st Century - Cluster Formation in the S&P 500," Working Papers REM 2018/43, ISEG - Lisbon School of Economics and Management, REM, Universidade de Lisboa.

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