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Reconstructing an economic space from a market metric

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  • Vilela Mendes, R.
  • Araújo, Tanya
  • Louçã, Francisco

Abstract

Using a metric related to the returns correlation, a method is proposed to reconstruct an economic space from the market data. A reduced subspace, associated to the systematic structure of the market, is identified and its dimension related to the number of terms in factor models. Examples were worked out involving sets of companies from the DJIA and S&P500 indexes.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:323:y:2003:i:c:p:635-650
    DOI: 10.1016/S0378-4371(03)00014-1
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    Cited by:

    1. Chun-Xiao Nie, 2021. "Studying the correlation structure based on market geometry," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 16(2), pages 411-441, April.
    2. Tanya Araújo & Francisco Louçã, 2008. "Tribes under Threat – The Collective Behavior of Firms During the Stock Market Crisis," Working Papers Department of Economics 2008/28, ISEG - Lisbon School of Economics and Management, Department of Economics, Universidade de Lisboa.
    3. Tanya Araújo & Francisco Louçã, 2008. "Bargaining Clouds, or Mathematics as a Metaphoric Exploration of the Unexpected," Working Papers Department of Economics 2008/27, ISEG - Lisbon School of Economics and Management, Department of Economics, Universidade de Lisboa.
    4. Araújo, Tanya & Spelta, Alessandro, 2014. "Structural changes in cross-border liabilities: A multidimensional approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 394(C), pages 277-287.
    5. João C. Lopes & Tanya Araújo & João Dias & João F. Amaral, 2010. "National industry cluster templates and the structure of industry output dynamics: a stochastic geometry approach," Working Papers Department of Economics 2010/20, ISEG - Lisbon School of Economics and Management, Department of Economics, Universidade de Lisboa.
    6. Samuel Eleut'erio & Tanya Ara'ujo & R. Vilela Mendes, 2011. "Portfolios and the market geometry," Papers 1108.4102, arXiv.org.
    7. Alessandro Spelta & Tanya Ara'ujo, 2011. "The topology of cross-border exposures: beyond the minimal spanning tree approach," Papers 1112.5711, arXiv.org.
    8. Alessandro Spelta & Tanya Araujo, 2012. "Interlinkages and structural changes in cross-border liabilities: a network approach," Working Papers Department of Economics 2012/19, ISEG - Lisbon School of Economics and Management, Department of Economics, Universidade de Lisboa.
    9. João Carlos Lopes & Tanya Araujo, 2012. "The economic performance of Portuguese and Spanish regions: A network dynamic approach," Working Papers Department of Economics 2012/04, ISEG - Lisbon School of Economics and Management, Department of Economics, Universidade de Lisboa.
    10. Araújo, Tanya & Fontainha, Elsa, 2017. "The specific shapes of gender imbalance in scientific authorships: A network approach," Journal of Informetrics, Elsevier, vol. 11(1), pages 88-102.
    11. Spelta, Alessandro & Araújo, Tanya, 2012. "The topology of cross-border exposures: Beyond the minimal spanning tree approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(22), pages 5572-5583.
    12. Tanya Ara'ujo & Francisco Louc{c}~a, 2005. "The Geometry of Crashes - A Measure of the Dynamics of Stock Market Crises," Papers physics/0506137, arXiv.org, revised Jul 2005.
    13. Tanya Araújo & Francisco Louçã, 2008. "The Dynamics of Speculative Markets: The Case of Portugal’s PSI20," Working Papers Department of Economics 2008/34, ISEG - Lisbon School of Economics and Management, Department of Economics, Universidade de Lisboa.
    14. Gautier Marti & Frank Nielsen & Miko{l}aj Bi'nkowski & Philippe Donnat, 2017. "A review of two decades of correlations, hierarchies, networks and clustering in financial markets," Papers 1703.00485, arXiv.org, revised Nov 2020.
    15. Tanya Araujo & João Dias & Samuel Eleutério & Francisco Louçã, 2012. "How Fama Went Wrong: Measures of Multivariate Kurtosis for the Identification of the Dynamics of a N-Dimensional Market," Working Papers Department of Economics 2012/21, ISEG - Lisbon School of Economics and Management, Department of Economics, Universidade de Lisboa.
    16. Tanya Ara'ujo & Jo~ao Dias & Samuel Eleut'erio & Francisco Louc{c}~a, 2012. "How Fama Went Wrong: Measures of Multivariate Kurtosis for the Identification of the Dynamics of a N-Dimensional Market," Papers 1207.1202, arXiv.org.
    17. Tanya Ara'ujo & Francisco Louc{c}~a, 2004. "Complex Behavior of Stock Markets: Processes of Synchronization and Desynchronization during Crises," Papers cond-mat/0403333, arXiv.org, revised Mar 2004.
    18. 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.
    19. Tanya Araújo & Francisco Louçã, 2008. "Trouble Ahead – The Subprime Crisis as Evidence of a New Regime in the Stock Market," Working Papers Department of Economics 2008/26, ISEG - Lisbon School of Economics and Management, Department of Economics, Universidade de Lisboa.
    20. Alessandro Spelta & Tanya Ara'ujo, 2012. "Interlinkages and structural changes in cross-border liabilities: a network approach," Papers 1205.5675, arXiv.org.
    21. João Lopes, 2011. "Industrial Clustering and Sectoral Growth: a Network Dynamics Approach," ERSA conference papers ersa11p637, European Regional Science Association.

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