Fractal Markets, Frontiers, and Factors

Wilhelm Berghorn, Martin T. Schulz, Sascha Otto


We develop an alternative view to the modern finance theory that essentially suggests equilibria in efficient markets by taking a risk-based view of asset returns in stock markets. Based on a mathematical analysis of stock market data using multi-scale approaches, we will alternatively describe markets and factors as trend-based fractal processes and analyze well-known factor premiums, which leads to a return-based view of markets and a model of investors reacting to market environments. We conclude that markets could be viewed alternatively as fractal, non-stationary and, at most, asymptotically efficient.

Full Text:



Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

This journal is licensed under a Creative Commons Attribution 4.0 License.

International Journal of Financial Research
ISSN 1923-4023(Print)ISSN 1923-4031(Online)


Copyright © Sciedu Press

To make sure that you can receive messages from us, please add the '' domain to your e-mail 'safe list'. If you do not receive e-mail in your 'inbox', check your 'bulk mail' or 'junk mail' folders.