Demos, Guilherme and Da Silva, Sergio and Matsushita, Raul (2015): Some Statistical Properties of the Mini Flash Crashes. Published in: Mathematical Finance Letters , Vol. 2015, No. 3. (2015): pp. 1-19.
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Abstract
We present some properties of the data from the recent mini flash crashes occurring in individual stocks of the Dow Jones Industrial Average. The top five are: 1) Gaussianity is absent in data; 2) the tail decay of the return distributions follow power laws; 3) chaos and logperiodicity cannot be dismissed at first; 4) chaos and logperiodicity are not good models for the data on second thoughts; and 5) a threshold GARCH fit can also describe the data well, but fails to detect the power law tail decay of most distributions of returns.
Item Type: | MPRA Paper |
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Original Title: | Some Statistical Properties of the Mini Flash Crashes |
Language: | English |
Keywords: | flash crash, mini flash crashes |
Subjects: | C - Mathematical and Quantitative Methods > C0 - General > C00 - General G - Financial Economics > G1 - General Financial Markets > G10 - General |
Item ID: | 65473 |
Depositing User: | Sergio Da Silva |
Date Deposited: | 08 Jul 2015 05:41 |
Last Modified: | 03 Oct 2019 16:32 |
References: | [1] Staff of the U.S. Commodity Futures Trading Commission and the U.S. Securities and Exchange Commission (2010) Findings regarding the market events of May 6, 2010, 30 September 2010. [2] M. Farrell Mini flash crashes: A dozen a day. CNN Money, (2013). [3] J. Mazzeu, T. Otuki, S. Da Silva, The canonical econophysics approach to the flash crash of May 6, 2010, Applied Mathematical Sciences 5 (2011), 1373-1389. [4] R.D. Smith, Is high-frequency trading inducing changes in market microstructure and dynamics? ArXiv Quantitative Finance Paper, (2010), 1006.5490. [5] R. Matsushita, S. Da Silva, A log-periodic fit for the flash crash of May 6, 2010, Economics Bulletin 31 (2011), 1772-1779. [6] F. Fernández-Rodrgíuez, S. Sosvilla-Rivero, J. Andrada-Félix, Testing chaotic dynamics via Lyapunov exponents, Journal of Applied Econometrics 20 (2005), 911-930. [7] D. Sornette, Why Stock Markets Crash: Critical Events in Complex Financial Systems, New Jersey: Princeton University Press. (2003). [8] R.N. Mantegna, H.E. Stanley, Modeling of financial data: Comparison of the truncated Lévy flight and the ARCH(1) and GARCH(1,1) processes, Physica A 254 (1998), 77-84. [9] R.N. Mantegna, H.E. Stanley, An Introduction to Econophysics: Correlations and Complexity in Finance, Cambridge: Cambridge University Press. (2000). [10] K. Choi, W.C. Yu, E. Zivot, Long memory versus structural breaks in modeling and forecasting realized volatility, Journal of International Money and Finance 29 (2010), 857-875. [11] Y. Huang, A. Johansen, M.W. Lee, H. Saleur, D. Sornette, Artifactual log-periodicity in finite size data: Relevance for earthquake aftershocks, Journal of Geophysical Research 105 (B11) (2000), 25451-25471. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/65473 |