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Dynamic instability in generic model of multi-assets markets

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  • Marsili, Matteo
  • Raffaelli, Giacomo
  • Ponsot, Benedicte
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    Abstract

    We introduce a generic model of a multi-asset financial market, which takes into account the impact of portfolio investment on price dynamics. This captures the fact that financial correlation determine the optimal portfolio but are affected by investment based on it. We show that, under very general conditions, such a feedback on correlations gives rise to an instability when the volume of investment exceeds a critical value. Close to the critical point the model exhibits dynamical correlations very similar to those observed in empirical data.

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    File URL: http://www.sciencedirect.com/science/article/B6V85-4VKXBX1-2/2/c1c6e273edc4e60bb64e6c55cd106751
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    Bibliographic Info

    Article provided by Elsevier in its journal Journal of Economic Dynamics and Control.

    Volume (Year): 33 (2009)
    Issue (Month): 5 (May)
    Pages: 1170-1181

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    Handle: RePEc:eee:dyncon:v:33:y:2009:i:5:p:1170-1181

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    Web page: http://www.elsevier.com/locate/jedc

    Related research

    Keywords: Excess comovement Correlation Portfolio theory Dynamic instability;

    References

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    1. BAUWENS, Luc & LAURENT, Sébastien & ROMBOUTS, Jeroen VK, . "Multivariate GARCH models: a survey," CORE Discussion Papers RP -1847, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Engle, Robert, 2002. "Dynamic Conditional Correlation: A Simple Class of Multivariate Generalized Autoregressive Conditional Heteroskedasticity Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(3), pages 339-50, July.
    3. M. Potters & J. P. Bouchaud & L. Laloux, 2005. "Financial Applications of Random Matrix Theory: Old Laces and New Pieces," Papers physics/0507111, arXiv.org.
    4. Cars Hommes & Carl Chiarella & Xue-Zhong He, 2004. "A Dynamical Analysis of Moving Average Rules," Computing in Economics and Finance 2004 238, Society for Computational Economics.
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    7. Drożdż, S. & Kwapień, J. & Grümmer, F. & Ruf, F. & Speth, J., 2001. "Quantifying the dynamics of financial correlations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 299(1), pages 144-153.
    8. Christian Borghesi & Matteo Marsili & Salvatore Miccich\`e, 2007. "Emergence of time-horizon invariant correlation structure in financial returns by subtraction of the market mode," Papers physics/0702106, arXiv.org.
    9. Kirchler, Michael & Huber, Jurgen, 2007. "Fat tails and volatility clustering in experimental asset markets," Journal of Economic Dynamics and Control, Elsevier, vol. 31(6), pages 1844-1874, June.
    10. Peter Bank & Dietmar Baum, 2004. "Hedging and Portfolio Optimization in Financial Markets with a Large Trader," Mathematical Finance, Wiley Blackwell, vol. 14(1), pages 1-18.
    11. Kondor, Imre & Pafka, Szilard & Nagy, Gabor, 2007. "Noise sensitivity of portfolio selection under various risk measures," Journal of Banking & Finance, Elsevier, vol. 31(5), pages 1545-1573, May.
    12. Giacomo Raffaelli & Matteo Marsili, 2005. "Dynamic instability in a phenomenological model of correlated assets," Papers physics/0508159, arXiv.org, revised Apr 2006.
    13. Pindyck, Robert S & Rotemberg, Julio J, 1993. "The Comovement of Stock Prices," The Quarterly Journal of Economics, MIT Press, vol. 108(4), pages 1073-1104, November.
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    Cited by:
    1. Carl Chiarella & Roberto Dieci & Xue-Zhong He & Kai Li, 2012. "An Evolutionary CAPM Under Heterogeneous Beliefs," Research Paper Series 315, Quantitative Finance Research Centre, University of Technology, Sydney.
    2. Giacomo Livan & Jun-ichi Inoue & Enrico Scalas, 2012. "On the non-stationarity of financial time series: impact on optimal portfolio selection," Papers 1205.0877, arXiv.org, revised Jul 2012.

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