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Modelling systemic price cojumps with Hawkes factor models

  • Giacomo Bormetti
  • Lucio Maria Calcagnile
  • Michele Treccani
  • Fulvio Corsi
  • Stefano Marmi
  • Fabrizio Lillo

Instabilities in the price dynamics of a large number of financial assets are a clear sign of systemic events. By investigating a set of 20 high cap stocks traded at the Italian Stock Exchange, we find that there is a large number of high frequency cojumps. We show that the dynamics of these jumps is described neither by a multivariate Poisson nor by a multivariate Hawkes model. We introduce a Hawkes one factor model which is able to capture simultaneously the time clustering of jumps and the high synchronization of jumps across assets.

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File URL: http://arxiv.org/pdf/1301.6141
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Paper provided by arXiv.org in its series Papers with number 1301.6141.

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Date of creation: Jan 2013
Date of revision: Mar 2013
Handle: RePEc:arx:papers:1301.6141
Contact details of provider: Web page: http://arxiv.org/

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  1. Clive G. Bowsher, 2005. "Modelling Security Market Events in Continuous Time: Intensity Based, Multivariate Point Process Models," Economics Papers 2005-W26, Economics Group, Nuffield College, University of Oxford.
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  11. Mardi Dungey & Lyudmyla Hvozdyk, 2010. "Cojumping: Evidence from the US Treasury Bond and Futures Markets," NCER Working Paper Series 56, National Centre for Econometric Research, revised 20 Jul 2010.
  12. Mardi Dungey & Michael McKenzie & Vanessa Smith, 2007. "Empirical Evidence On Jumps In The Term Structure Of The Us Treasury Market," CAMA Working Papers 2007-25, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
  13. Christian T. Brownlees & Giampiero Gallo, 2006. "Financial Econometric Analysis at Ultra–High Frequency: Data Handling Concerns," Econometrics Working Papers Archive wp2006_03, Universita' degli Studi di Firenze, Dipartimento di Statistica, Informatica, Applicazioni "G. Parenti".
  14. E. Bacry & S. Delattre & M. Hoffmann & J. F. Muzy, 2013. "Modelling microstructure noise with mutually exciting point processes," Quantitative Finance, Taylor & Francis Journals, vol. 13(1), pages 65-77, January.
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  16. Yacine Aït-Sahalia & Julio Cacho-Diaz & Roger J.A. Laeven, 2010. "Modeling Financial Contagion Using Mutually Exciting Jump Processes," NBER Working Papers 15850, National Bureau of Economic Research, Inc.
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