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On the distribution of stock-market returns - Implications of Evolutionary Finance

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  • Stefan Reimann

Abstract

Risk management and asset pricing benefit from simple functional descriptions of the distribution of real asset returns. Recently, several authors have proposed that asset returns in real stock markets are distributed according to a hyperbolic distribution. While asset returns are generated by trades over time, the natural question is: What does economic theory imply concerning return distributions? We propose a simple model of price formation and, thus, return distribution which is based on economic reasoning. The markets behavior is represented by a pair consisting of a time-constant strategy and a dynamical trading strategy generating a flow between funds. Simulations of the price dynamics generate returns with fat-tail behavior in line with that of a hyperbolic distribution.

Suggested Citation

  • Stefan Reimann, "undated". "On the distribution of stock-market returns - Implications of Evolutionary Finance," IEW - Working Papers 232, Institute for Empirical Research in Economics - University of Zurich.
    • Handle: RePEc:zur:iewwpx:232
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    File URL: https://www.zora.uzh.ch/id/eprint/52125/1/iewwp232.pdf
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    References listed on IDEAS

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    More about this item

    Keywords

    Asset returns; hyperbolic distribution; evolutionary finance;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation

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