On the stock market recurrence

被引:14
作者
Baptista, MS [1 ]
Caldas, IL [1 ]
机构
[1] Univ Sao Paulo, Inst Phys, BR-05315970 Sao Paulo, SP, Brazil
基金
巴西圣保罗研究基金会;
关键词
chaos; econophysics; stock market; dynamics; modeling;
D O I
10.1016/S0378-4371(00)00226-0
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We analyze the return of the S & P 500 index and characterize its evolution as being typical of a low-dimensional recurrent deterministic system. The first Poincare return time of the chaotic logistic mapping trajectories is used to model the return evolution. The efficiency of the model is demonstrated by daily predictions over an interval of time since January, 1950 of this index, and long-term prediction for a period of 150 days. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:348 / 354
页数:7
相关论文
共 16 条
[1]   Pesin's dimension for Poincare recurrences [J].
Afraimovich, V .
CHAOS, 1997, 7 (01) :12-20
[2]  
[Anonymous], 1997, DYNAMICS NUMERICAL E
[3]  
Bachelier L., 1900, THEORY SPECULATION
[4]   ARCH MODELING IN FINANCE - A REVIEW OF THE THEORY AND EMPIRICAL-EVIDENCE [J].
BOLLERSLEV, T ;
CHOU, RY ;
KRONER, KF .
JOURNAL OF ECONOMETRICS, 1992, 52 (1-2) :5-59
[5]  
Campbell J., 1997, The econometrics of financial markets
[6]   SUBORDINATED STOCHASTIC-PROCESS MODEL WITH FINITE VARIANCE FOR SPECULATIVE PRICES [J].
CLARK, PK .
ECONOMETRICA, 1973, 41 (01) :135-155
[7]   AUTOREGRESSIVE CONDITIONAL HETEROSCEDASTICITY WITH ESTIMATES OF THE VARIANCE OF UNITED-KINGDOM INFLATION [J].
ENGLE, RF .
ECONOMETRICA, 1982, 50 (04) :987-1007
[8]   THE BEHAVIOR OF STOCK-MARKET PRICES [J].
FAMA, EF .
JOURNAL OF BUSINESS, 1965, 38 (01) :34-105
[9]   Turbulent cascades in foreign exchange markets [J].
Ghashghaie, S ;
Breymann, W ;
Peinke, J ;
Talkner, P ;
Dodge, Y .
NATURE, 1996, 381 (6585) :767-770
[10]  
Guckenheimer J, 1997, NONLINEAR OSCILLATIO