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Analysis of the Lehman Brothers collapse and the Flash Crash event by applying wavelets methodologies

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  • Beccar-Varela, Maria P.
  • Mariani, Maria C.
  • Tweneboah, Osei K.
  • Florescu, Ionut

Abstract

In this study, we apply a wavelet methodology initially developed for geophysical data to financial data. Specifically, the method distinguishes between natural tectonic earthquakes and man made explosions. We exemplify using time series data from two financial events: the Lehman Brothers collapse and the Flash Crash event. We conclude that the Lehman Brothers collapse behaves like a natural earthquake while the Flash Crash event behaves like a human made explosion. This study may imply that the Lehman Brothers type events may be predicted, while sudden Flash Crash type events are not predictable.

Suggested Citation

  • Beccar-Varela, Maria P. & Mariani, Maria C. & Tweneboah, Osei K. & Florescu, Ionut, 2017. "Analysis of the Lehman Brothers collapse and the Flash Crash event by applying wavelets methodologies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 162-171.
    • Handle: RePEc:eee:phsmap:v:474:y:2017:i:c:p:162-171
    DOI: 10.1016/j.physa.2017.01.064
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    References listed on IDEAS

    as
    1. Mariani, M.C. & Florescu, I. & SenGupta, I. & Beccar Varela, M.P. & Bezdek, P. & Serpa, L., 2013. "Lévy models and scale invariance properties applied to Geophysics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 824-839.
    2. Mariani, Maria C. & Tweneboah, Osei K., 2016. "Stochastic differential equations applied to the study of geophysical and financial time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 170-178.
    3. Silvo Dajčman, 2013. "Interdependence Between Some Major European Stock Markets - A Wavelet Lead/Lag Analysis," Prague Economic Papers, Prague University of Economics and Business, vol. 2013(1), pages 28-49.
    4. Mariani, M.C. & Florescu, I. & Beccar Varela, M.P. & Ncheuguim, E., 2009. "Long correlations and Levy models applied to the study of memory effects in high frequency (tick) data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(8), pages 1659-1664.
    5. Beccar-Varela, Maria P. & Gonzalez-Huizar, Hector & Mariani, Maria C. & Tweneboah, Osei K., 2016. "Use of wavelets techniques to discriminate between explosions and natural earthquakes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 457(C), pages 42-51.
    6. repec:zbw:bofrdp:2005_027 is not listed on IDEAS
    7. Mariani, M.C. & Bezdek, P. & Serpa, L. & Florescu, I., 2011. "Ising type models applied to Geophysics and high frequency market data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4396-4402.
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    Cited by:

    1. Isao Shoji & Masahiro Nozawa, 2020. "A geometric analysis of nonlinear dynamics and its application to financial time series," Papers 2012.11825, arXiv.org.
    2. Shoji, Isao & Nozawa, Masahiro, 2022. "Geometric analysis of nonlinear dynamics in application to financial time series," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    3. Mariani, Maria C. & Bhuiyan, Md Al Masum & Tweneboah, Osei K. & Beccar-Varela, Maria P. & Florescu, Ionut, 2020. "Analysis of stock market data by using Dynamic Fourier and Wavelets techniques," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).

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