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On Stock-Price Fluctuations in the Periods of Booms and Stagnations

  • Taisei Kaizoji
Part of the New Economic Windows book series (NEW)

Abstract

The statistical properties of the fluctuations of financial prices have been widely researched since Mandelbrot [1] and Fama [2] presented an evidence that return distributions can be well described by a symmetric Levy stable law with tail index close to 1.7. Many empirical studies have shown that the tails of the distributions of returns and volatility follow approximately a power law with estimates of the tail index falling in the range 2 to 4 for large value of returns and volatility. (See, for examples, de Vries [3]; Pagan [4]; Longin [5], Lux [6]; Guillaume et al. [7]; Muller et al. [8]; Gopikrishnan et al. [9], Gopikrishnan et al. [10], Plerou et al. [11], Liu et al. [12]). However, there is also evidence against power-law tails. For instance, Barndorff-Nielsen [13], and Eberlein et al. [14] have respectively fitted the distributions of returns using normal inverse Gaussian, and hyperbolic distribution. Laherrere and Sornette [15] have suggested to describe the distributions of returns by the stretched-exponential distribution. Dragulescu and Yakovenko [16] have shown that the distributions of returns have been approximated by exponential distributions. More recently, Malevergne, Pisarenko and Sornette [17] have suggested that the tails ultimately decay slower than any stretched exponential distribution but probably faster than power laws with reasonable exponents as a result from various statistical tests of returns.

Keywords

Stock Market Exponential Distribution Return Distribution Tail Index Noise Trader 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Italia 2006

Authors and Affiliations

  • Taisei Kaizoji
    • 1
  1. 1.Division of Social SciencesInternational Christian UniversityTokyoJapan

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