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Log-Periodic Power Law and Generalized Hurst Exponent Analysis in Estimating an Asset Bubble Bursting Time

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  • Wątorek Marcin

    (Institute of Nuclear Physics, Polish Academy of Sciences, Poland)

  • Stawiarski Bartosz

    (Cracow University of Technology Faculty of Physics, Mathematics and Computer Science, Poland)

Abstract

We closely examine and compare two promising techniques helpful in estimating the moment an asset bubble bursts. Namely, the Log-Periodic Power Law model and Generalized Hurst Exponent approaches are considered. Sequential LPPL fitting to empirical financial time series exhibiting evident bubble behavior is presented. Estimating the critical crash-time works satisfactorily well also in the case of GHE, when substantial „decorrelation“ prior to the event is visible. An extensive simulation study carried out on empirical data: stock indices and commodities, confirms very good performance of the two approaches.

Suggested Citation

  • Wątorek Marcin & Stawiarski Bartosz, 2016. "Log-Periodic Power Law and Generalized Hurst Exponent Analysis in Estimating an Asset Bubble Bursting Time," Financial Internet Quarterly (formerly e-Finanse), Sciendo, vol. 12(3), pages 49-58, October.
  • Handle: RePEc:vrs:finiqu:v:12:y:2016:i:3:p:49-58:n:2
    DOI: 10.1515/fiqf-2016-0001
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    References listed on IDEAS

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