Hierarchical structure in financial markets

被引:1500
作者
Mantegna, RN [1 ]
机构
[1] Ist Nazl Fis Mat, Unita Palermo, I-90128 Palermo, Italy
[2] Univ Palermo, Dipartimento Energet & Applicaz Fis, I-90128 Palermo, Italy
关键词
D O I
10.1007/s100510050929
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
I find a hierarchical arrangement of stocks traded in a financial market by investigating the daily time series of the logarithm of stock price. The topological space is a subdominant ultrametric space associated with a graph connecting the stocks of the portfolio analyzed. The graph is obtained starting from the matrix of correlation coefficient computed between all pairs of stocks of the portfolio by considering the synchronous time evolution of the difference of the logarithm of daily stock price. The hierarchical tree of the subdominant ultrametric space associated with the graph provides a meaningful economic taxonomy.
引用
收藏
页码:193 / 197
页数:5
相关论文
共 17 条
  • [1] [Anonymous], 1993, Ricerche Economiche, DOI [10.1016/0035-5054(93)90023-V, DOI 10.1016/0035-5054(93)90023-V]
  • [2] Direct causal cascade in the stock market
    Arneodo, A
    Muzy, JF
    Sornette, D
    [J]. EUROPEAN PHYSICAL JOURNAL B, 1998, 2 (02) : 277 - 282
  • [3] Price variations in a stock market with many agents
    Bak, P
    Paczuski, M
    Shubik, M
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1997, 246 (3-4) : 430 - 453
  • [4] BOUCHAUD JP, 1994, J PHYS I, V4, P863
  • [5] Feller W., 1971, INTRO PROBABILITY TH
  • [6] Turbulent cascades in foreign exchange markets
    Ghashghaie, S
    Breymann, W
    Peinke, J
    Talkner, P
    Dodge, Y
    [J]. NATURE, 1996, 381 (6585) : 767 - 770
  • [7] Kadanoff L. P., 1971, Simulation, V16, P261, DOI 10.1177/003754977101600603
  • [8] THE VARIATION OF CERTAIN SPECULATIVE PRICES
    MANDELBROT, B
    [J]. JOURNAL OF BUSINESS, 1963, 36 (04) : 394 - 419
  • [9] MANTEGNA RN, 1991, PHYSICA A, V179, P232, DOI 10.1016/0378-4371(91)90061-G
  • [10] SCALING BEHAVIOR IN THE DYNAMICS OF AN ECONOMIC INDEX
    MANTEGNA, RN
    STANLEY, HE
    [J]. NATURE, 1995, 376 (6535) : 46 - 49