Understanding the cubic and half-cubic laws of financial fluctuations

被引:34
作者
Gabaix, X [1 ]
Gopikrishnan, P
Plerou, V
Stanley, HE
机构
[1] MIT, Dept Econ, Cambridge, MA 02139 USA
[2] Boston Univ, Ctr Polymer Studies, Boston, MA 02215 USA
[3] Boston Univ, Dept Phys, Boston, MA 02215 USA
关键词
D O I
10.1016/S0378-4371(03)00174-2
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Recent empirical research has uncovered regularities in financial fluctuations. Those are: (i) the cubic law of returns: returns follow a power law distribution with exponent 3; (ii) the half cubic law of volumes: volumes follow a power law distribution with exponent 3/2; (iii) Approximate cubic law of number of trades: the number of trades in a given time intervals follows a power law distribution with exponent around 3. We discuss a new theory that explains them, as well as some related facts. (C) 2003 Published by Elsevier Science B.V.
引用
收藏
页码:1 / 5
页数:5
相关论文
共 14 条
[1]  
ABAIX X, 2003, IN PRESS NATURE, V423
[2]  
[Anonymous], 1996, Appl. Financial Econ., V6, P463, DOI DOI 10.1080/096031096333917
[3]  
GABAIX X, 2002, THEORY CUBIC LAWS FI
[4]   Inverse cubic law for the distribution of stock price variations [J].
Gopikrishnan, P ;
Meyer, M ;
Amaral, LAN ;
Stanley, HE .
EUROPEAN PHYSICAL JOURNAL B, 1998, 3 (02) :139-140
[5]   Scaling of the distribution of fluctuations of financial market indices [J].
Gopikrishnan, P ;
Plerou, V ;
Amaral, LAN ;
Meyer, M ;
Stanley, HE .
PHYSICAL REVIEW E, 1999, 60 (05) :5305-5316
[6]   Statistical properties of share volume traded in financial markets [J].
Gopikrishnan, P ;
Plerou, V ;
Gabaix, X ;
Stanley, HE .
PHYSICAL REVIEW E, 2000, 62 (04) :R4493-R4496
[7]   THE VARIATION OF CERTAIN SPECULATIVE PRICES [J].
MANDELBROT, B .
JOURNAL OF BUSINESS, 1963, 36 (04) :394-419
[8]  
Mandelbrot B.B., 1997, FRACTALS SCALING FIN, P371, DOI DOI 10.1007/978-1-4757-2763-0_14
[9]   Price fluctuations from the order book perspective - empirical facts and a simple model [J].
Maslov, S ;
Mills, M .
PHYSICA A, 2001, 299 (1-2) :234-246
[10]   Quantifying stock-price response to demand fluctuations [J].
Plerou, V ;
Gopikrishnan, P ;
Gabaix, X ;
Stanley, HE .
PHYSICAL REVIEW E, 2002, 66 (02)