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Exponentially Damped Levy Flights, Multiscaling, and Slow Convergence in Stockmarkets

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  • Sergio Da Silva

    (Federal University of Rio Grande Do Sul, Brazil)

Abstract

We have previously examined the role of autocorrelations in the sum of stochastic variables together with the existence of scaling power laws (Physica A 323 (2003) 601). Here we employ such an approach to analyze the sluggish convergence [2] in data coming from the S&P500 index. We also employ our suggested exponentially damped Lévy flight [3] to assess the multiscaling properties in the data.
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Suggested Citation

  • Sergio Da Silva, 2004. "Exponentially Damped Levy Flights, Multiscaling, and Slow Convergence in Stockmarkets," Finance 0405028, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpfi:0405028
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    1. Matsushita, Raul & Rathie, Pushpa & Da Silva, Sergio, 2003. "Exponentially damped Lévy flights," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 326(3), pages 544-555.
    2. Figueiredo, Annibal & Gleria, Iram & Matsushita, Raul & Da Silva, Sergio, 2003. "Autocorrelation as a source of truncated Lévy flights in foreign exchange rates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 323(C), pages 601-625.
    3. Matsushita, Raul & Gleria, Iram & Figueiredo, Annibal & Rathie, Pushpa & Da Silva, Sergio, 2004. "Exponentially damped Lévy flights, multiscaling, and exchange rates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 333(C), pages 353-369.
    4. Miranda, L.Couto & Riera, R., 2001. "Truncated Lévy walks and an emerging market economic index," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 297(3), pages 509-520.
    5. Gupta, Hari M. & Campanha, José R., 1999. "The gradually truncated Lévy flight for systems with power-law distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 268(1), pages 231-239.
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    Cited by:

    1. Apergis, Nicholas & Christou, Christina & Miller, Stephen M., 2014. "Country and industry convergence of equity markets: International evidence from club convergence and clustering," The North American Journal of Economics and Finance, Elsevier, vol. 29(C), pages 36-58.
    2. Tabak, B.M. & Takami, M.Y. & Cajueiro, D.O. & Petitinga, A., 2009. "Quantifying price fluctuations in the Brazilian stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(1), pages 59-62.
    3. da Silva, Roberto & Zembrzuski, Marcelo & Correa, Fabio C. & Lamb, Luis C., 2010. "Stock markets and criticality in the current economic crisis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(23), pages 5460-5467.
    4. Yang, Honglin & Wan, Hong & Zha, Yong, 2013. "Autocorrelation type, timescale and statistical property in financial time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(7), pages 1681-1693.

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