Beating the Market? : A Mathematical Puzzle to Market Efficiency

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Baumann, Michael Heinrich:
Beating the Market? : A Mathematical Puzzle to Market Efficiency.
Universität Bayreuth
Bayreuth , 2018 . - 59 S.

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Abstract

The efficient market hypothesis is highly discussed - supported and criticized - in economic literature. In its weakest form, it states that there are no price trends. When weakening the non-trending assumption only a little to arbitrary short, small, and fully unknown trends, I mathematically prove, for a specific class of control-based trading strategies, positive expected gains. Adjustments for risk and comparisons with buy-and-hold strategies do not satisfactorily solve the problem. In addition, in an exemplary backtesting study, when transaction costs and bid-ask-spreads are taken into account, I still observe, on average, positive gains. These strategies are model-free, i.e., a trader neither has to estimate market parameters as the trend's sign nor has to think about predictable patterns, etc. In this work, I bring together the economists' view on efficient markets and the engineers' view on feedback trading.