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On the Log-Return Distribution of Index Benchmarked Share Prices



This paper identifies a distribution, which fits the daily log-returns of index benchmarked share prices. For this data the Student t distribution appears to provide the best fit under the maximum likelihood ratio test within the class of symmetric generalised hyperbolic distributions. A share market model that generates share prices with the observed log-return distribution is also described.

Suggested Citation

  • Eckhard Platen, 1999. "On the Log-Return Distribution of Index Benchmarked Share Prices," Research Paper Series 22, Quantitative Finance Research Centre, University of Technology, Sydney.
  • Handle: RePEc:uts:rpaper:22

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    Cited by:

    1. David Heath & Simon Hurst & Eckhard Platen, 1999. "Modelling the Stochastic Dynamics of Volatility for Equity Indices," Research Paper Series 7, Quantitative Finance Research Centre, University of Technology, Sydney.

    More about this item


    log-return distribution; Student t distribution; generalised hyperbolic distribution; minimal market model;

    JEL classification:

    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing


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