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Growth Optimal Investment Strategy: The Impact of Reallocation Frequency and Heavy Tails

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  • G. Bamberg
  • A. Neuhierl

Abstract

The strategy to maximize the long-term growth rate of final wealth (maximum expected log strategy, maximum geometric mean strategy, Kelly criterion) is based on probability theoretic underpinnings and has asymptotic optimality properties. This article reviews the allocation of wealth in a two-asset economy with one risky asset and a risk-free asset. It is also shown that the optimal fraction to be invested in the risky asset (i) depends on the length of the basic return period and (ii) is lower for heavy-tailed log returns than for light-tailed log returns.
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  • G. Bamberg & A. Neuhierl, 2012. "Growth Optimal Investment Strategy: The Impact of Reallocation Frequency and Heavy Tails," German Economic Review, Verein für Socialpolitik, vol. 13(2), pages 228-240, May.
    • Handle: RePEc:bla:germec:v:13:y:2012:i:2:p:228-240
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    File URL: http://hdl.handle.net/10.1111/
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    Cited by:

    1. Svetlozar Rachev & Stoyan Stoyanov & Stefan Mittnik & Frank J. Fabozzi & Abootaleb Shirvani, 2017. "Behavioral Finance -- Asset Prices Predictability, Equity Premium Puzzle, Volatility Puzzle: The Rational Finance Approach," Papers 1710.03211, arXiv.org, revised Feb 2020.

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