Inverse cubic law for the distribution of stock price variations

被引:388
作者
Gopikrishnan, P [1 ]
Meyer, M
Amaral, LAN
Stanley, HE
机构
[1] Boston Univ, Ctr Polymer Studies, Boston, MA 02215 USA
[2] Boston Univ, Dept Phys, Boston, MA 02215 USA
关键词
PACS. 89.90.+n Other areas of general interest to physicists;
D O I
10.1007/s100510050292
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
The probability distribution of stock price changes is studied by analysing a database (the Trades and Quotes Database) documenting every trade for all stocks in three major US stock markets, for the two year period January 1994 - December 1995. A sample of 40 million data points is extracted, which is substantially larger than studied hitherto. We find an asymptotic power-law behavior for the cumulative distribution with an exponent alpha approximate to 3, well outside the Levy regime (0 < alpha < 2).
引用
收藏
页码:139 / 140
页数:2
相关论文
共 11 条
  • [1] Bachelier L., 1900, ANN SCI ECOLE NORM S, V17, P21
  • [2] BOUCHAUD JP, 1998, THEORIE RISQUES FINA
  • [3] CONT R, 1998, IN PRESS EUR PHYS B
  • [4] Turbulent cascades in foreign exchange markets
    Ghashghaie, S
    Breymann, W
    Peinke, J
    Talkner, P
    Dodge, Y
    [J]. NATURE, 1996, 381 (6585) : 767 - 770
  • [5] GIPIKRISHNAN P, IN PRESS
  • [6] SIMPLE GENERAL APPROACH TO INFERENCE ABOUT TAIL OF A DISTRIBUTION
    HILL, BM
    [J]. ANNALS OF STATISTICS, 1975, 3 (05) : 1163 - 1174
  • [7] LEVY P. P, 1937, Theorie de L'Addition des Variables Aleatoires
  • [8] MANDELBROT BB, 1963, J BUS, V36, P294
  • [9] SCALING BEHAVIOR IN THE DYNAMICS OF AN ECONOMIC INDEX
    MANTEGNA, RN
    STANLEY, HE
    [J]. NATURE, 1995, 376 (6535) : 46 - 49
  • [10] Pagan A., 1996, J. Empir. Finance, V3, P15, DOI [10.1016/0927-5398(95)00020-8, DOI 10.1016/0927-5398(95)00020-8]