
Mandelbrot Market-Model and Momentum
Author(s) -
Wilhelm Berghorn,
Sascha Otto
Publication year - 2017
Publication title -
international journal of financial research
Language(s) - English
Resource type - Journals
eISSN - 1923-4031
pISSN - 1923-4023
DOI - 10.5430/ijfr.v8n3p1
Subject(s) - mandelbrot set , fractal , economics , momentum (technical analysis) , scaling , econometrics , mathematical economics , statistical physics , mathematics , financial economics , physics , mathematical analysis , geometry
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.