Statistical properties of the volatility of price fluctuations

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 60, Issue 2, 1999, Pages 1390-1400

  Liu, Yanhui ^a   Gopikrishnan, Parameswaran ^a   Cizeau, ^a   Meyer, ^a   Peng, ^a   Stanley, H Eugene ^a  

^a Boston University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001571132     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.1390     Document Type: Article

References (88)

1. Econophysics: An Emerging Science, edited by I. Kondor and J. Kertész (Kluwer, Dordrecht, 1999).
2. Proceedings of the International Workshop on Econophysics and Statistical Finance, special issue of Physica A 269, 1 (1999), edited by R. N. Mantegna.
3. Application of Physics in Financial Analysis, special issue of Int. J. Theor. Appl. Finance (1999), edited by K. B. Lauritsen.
4. J.-P. Bouchaud and M. Potters, Theorie des Risques Financieres (Alea-Saclay, Eyrolles, 1998).
5. R. N. Mantegna and H. E. Stanley, An Introduction to Econophysics: Correlations and Complexity in Finance (Cambridge University Press, Cambridge, 1999).
6. B. B. Mandelbrot, J. Business 36, 393 (1963).
7. R. N. Mantegna, Physica A 179, 232 (1991).
8. H. Takayasu, A. H. Sato, and M. Takayasu, Phys. Rev. Lett. 79, 966 (1997)
9. H. Takayasu, H. Miura, T. Hirabayashi, and K. Hamada, Physica A 184, 127 (1992)
10. H. Takayasu and K. Okuyama, Fractals 6, 67 (1998).
11. M. Marsili and Y.-C. Zhang, Phys. Rev. Lett. 80, 2741 (1998)
12. G. Caldarelli, M. Marsili, and Y.-C. Zhang, Europhys. Lett. 40, 479 (1997).
13. N. Vandewalle and M. Ausloos, Int. J. Mod. Phys. C 9, 711 (1998)
14. N. VandewalleM. AusloosEur. Phys. J. B 4, 257 (1998)
15. N. Vandewalle , Physica A 255, 201 (1998).
16. J.-P. Bouchaud and D. Sornette, J. Phys. I 4, 863 (1994)
17. J.-P. Bouchaud and R. Cont, Eur. Phys. J. B 6, 543 (1998)
18. M. Potters, R. Cont, and J.-P. Bouchaud, Europhys. Lett. 41, 239 (1998).
19. D. Sornette, A. Johansen, and J.-P. Bouchaud, J. Phys. I 6, 167 (1996)
20. A. Arnoedo, J.-F. Muzy, and D. Sornette, Eur. Phys. J. B 2, 277 (1998).
21. D. Chowdhury and D. Stauffer, Eur. Phys. J. B 8, 477 (1999)
22. I. Chang and D. Stauffer, Physica A 264, 1 (1999)
23. Physica AD. Stauffer and T. J. P. Penna, 256, 284 (1998)
24. D. Stauffer, P. M. C. de Oliveria, and A. T. Bernardes, Int. J. Theor. Appl. Finance 2, 83 (1999).
25. T. Lux and M. Marchesi, Nature (London) 297, 498 (1999)
26. T. Lux, J. Eco. Behav. Organizat. 33, 143 (1998)
27. T. LuxJ. Econ. Dyn. Control 22, 1 (1997)
28. T. LuxAppl. Econ. Lett. 3, 701 (1996).
29. M. Levy, H. Levy, and S. Solomon, Econ. Lett. 45, 103 (1994)
30. M. Levy and S. Solomon, Int. J. Mod. Phys. C 7, 65 (1996).
31. S. Galluccio and Y. C. Zhang, Phys. Rev. E 54, R4516 (1996)
32. S. Galluccio, J.-P. Bouchaud, and M. Potters, Physica A 259, 449 (1998)
33. L. Laloux, P. Cizeau, J.-P. Bouchaud, and M. Potters, Risk 3, 69(1999)
34. V. Plerou, P. Gopikrishnan, B. Rosenow, L. A. N. Amaral, and H. E. Stanley, e-print cond-mat/9903369.
35. S. Ghashghaie, W. Breymann, J. Peinke, P. Talkner, and Y. Dodge, Nature (London) 381, 767 (1996)
36. Nature (London)R. N. Mantegna and H. E. Stanley, 383, 587 (1996)
37. R. N. MantegnaH. E. StanleyPhysica A 239, 255 (1997).
38. R. N. Mantegna and H. E. Stanley, Nature (London) 376, 46 (1995).
39. K. N. Ilinski and A. S. Stepanenko, Adv. Complex Syst. 1, 143(1998)
40. K. N. IlinskiA. S. Stepanenkoe-print cond-mat/9902046
41. K. N. Ilinski, e-print cond-mat/9903142.
42. A. Pagan, J. Empirical Finance 3, 15 (1996), and references therein.
43. Z. Ding, C. W. J. Granger, and R. F. Engle, J. Empirical Finance 1, 83 (1983).
44. M. M. Dacorogna, U. A. Muller, R. J. Nagler, R. B. Olsen, and O. V. Pictet, J. Int. Money Finance 12, 413 (1993).
45. R. A. Wood, T. H. McInish, and J. K. Ord, J. Finance 40, 723 (1985).
46. L. Harris, J. Financial Econ. 16, 99 (1986).
47. A. Admati and P. Pfleiderer, Rev. Financial Studies 1, 3 (1988).
48. C. W. J. Granger and Z. Ding, J. Econometrics 73, 61 (1996).
49. T. Bollerslev, R. Y. Chou, and K. F. Kroner, J. Econometrics 52, 5 (1992)
50. G. W. Schwert, J. Finance 44, 1115 (1989)
51. A. R. Gallant, P. E. Rossi, and G. Tauchen, Rev. Financial Studies 5, 199 (1992)
52. B. Le Baron, J. Business 65, 199 (1992)
53. K. Chan, K. C. Chan, and G. A. Karolyi, Rev. Financial Studies 4, 657 (1991).
54. R. Cont, Ph.D. thesis, Université de Paris XI, 1998
55. Y. Liu, P. Cizeau, M. Meyer, C.-K. Peng, and H. E. Stanley, Physica A 245, 437 (1997).
56. P. Cizeau, Y. Liu, M. Meyer, C.-K. Peng, and H. E. Stanley, Physica A 245, 441 (1997).
57. M. Pasquini and M. Serva, e-print cond-mat/9810232
58. M. Pasquini M. Servae-print cond-mat/9903334
59. R. Baviera, M. Pasquini, M. Serva, D. Vergni, and A. Vulpiani, e-print cond-mat/9901225.
60. P. Bak, K. Chen, J. A. Scheinkman, and M. Woodford, Richerche Economichi 47, 3 (1993)
61. J. A. Scheinkman and J. Woodford, Am. Economic Rev. 84, 417 (1994)
62. P. Bak, M. Paczuski, and M. Shubik, Physica A 246, 430 (1997).
63. P. Gopikrishnan, M. Meyer, L. A. N. Amaral, and H. E. Stanley, Eur. Phys. J. B 3, 139 (1998).
64. F. Black and M. Scholes, J. Political Economy 81, 637 (1973).
65. J. Cox, S. Ross, and M. Rubinstein, J. Financial Economics 7, 229 (1979).
66. The Trades and Quotes Database, 24 CD-ROM for 1994–1995 (New York Stock Exchange, New York, 1995).
67. P. Gopikrishnan, V. Plerou, L. A. N. Amaral, M. Meyer, and H. E. Stanley, e-print cond-mat/9905305;V. Plerou, P. Gopikrishnan, L. A. N. Amaral, M. Meyer, and H. E. Stanley (unpublished).
68. The majority of the chosen 500 companies belong to the S&P 500 index. However, the companies comprising the S&P 500 index varies by a small fraction every year, but this effect is not considerable for the two-year period.
69. J. Beran, Statistics for Long-Memory Processes (Chapman & Hall, New York, 1994).
70. E.-F. Fama, J. Finance 25, 383 (1970).
71. V. Plerou, P. Gopikrishnan, L. A. N. Amaral, and H. E. Stanley (unpublished).
72. P. D. Ekman, J. Futures Markets 12, 365 (1992).
73. C.-K. Peng, S. V. Buldyrev, S. Havlin, M. Simons, H. E. Stanley, and A. L. Goldberger, Phys. Rev. E 49, 1685 (1994).
74. C.-K. Peng, S. Havlin, H. E. Stanley, and A. L. Goldberger, Chaos 5, 82 (1995).
75. N. Iyengar, C.-K. Peng, R. Morin, A. L. Goldberger, and L. A. Lipsitz, Am. J. Physiol. 271, R1078 (1997).
76. J. M. Hausdorff and C.-K. Peng, Phys. Rev. E 54, 2154 (1996).
77. J. Feder, Fractals (Plenum Press, New York, 1988)
78. H. Takayasu, Fractals in the Physical Sciences (Manchester University Press, Manchester, 1990)
79. T. Vicsek, Fractal Growth Phenomena, 2nd ed. (World Scientific, Singapore, 1993).
80. E. W. Montroll and W. W. Badger, Introduction to Quantitative Aspects of Social Phenomena (Gordon and Breach, New York, 1974).
81. A. Bunde and S. Havlin, in Fractals and Disordered Systems, edited by A. Bunde and S. Havlin, 2nd ed. (Springer, Heidelberg, 1996).
82. P. R. Krugman, The Self-Organizing Economy (Blackwell Publishers, Cambridge, 1996).
83. M. H. R. Stanley, L. A. N. Amaral, S. V. Buldyrev, S. Havlin, H. Leschhorn, P. Maass, M. A. Salinger, and H. E. Stanley, Nature (London) 379, 804 (1996)
84. L. A. N. Amaral, S. V. Buldyrev, S. Havlin, H. Leschhorn, P. Maass, M. A. Salinger, H. E. Stanley, and M. H. R. Stanley, J. Phys. I 7, 621 (1997)
85. L. A. N. Amaral, S. V. Buldyrev, S. Havlin, M. A. Salinger, and H. E. Stanley, Phys. Rev. Lett. 80, 1385 (1998)
86. Phys. Rev. Lett.Y. Lee, L. A. N. Amaral, D. Canning, M. Meyer, and H. E. Stanley, 81, 3275 (1998)
87. V. Plerou, L. A. N. Amaral, P. Gopikrishnan, M. Meyer, and H. E. Stanley, e-print cond-mat/9906229;Nature (London) (to be published).
88. W. H. Press, Comments. Astrophys. 7, 103 (1978).