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Mandelbrot Market-Model and Momentum

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  • Wilhelm Berghorn
  • Sascha Otto

Abstract

Mandelbrot was one of the first who criticized the oversimplifications in finance modeling. In his view, markets have long-term memory, were fractal and thus much wilder than classical theory suggests. Recently, we were able to show that the scaling behaviour of trends, as defined by a specific trend decomposition using wavelets, are causing the momentum effect. In this work, we will show that this effect can be modeled by fractal trends. The so-called Mandelbrot Market-Model shows that markets are wilder compared with classical models. In conclusion, we derive what Mandelbrot always knew: There are no efficient markets.

Suggested Citation

  • Wilhelm Berghorn & Sascha Otto, 2017. "Mandelbrot Market-Model and Momentum," International Journal of Financial Research, International Journal of Financial Research, Sciedu Press, vol. 8(3), pages 1-26, July.
    • Handle: RePEc:jfr:ijfr11:v:8:y:2017:i:3:p:1-26
    DOI: 10.5430/ijfr.v8n3p1
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    References listed on IDEAS

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    Cited by:

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