Empirical properties of asset returns: Stylized facts and statistical issues

Quantitative Finance

Volumn 1, Issue 2, 2001, Pages 223-236

  Cont, Rama ^a  

^a CENTRE DE MATHÉMATIQUES APPLIQUÉES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85008848771     PISSN: 14697688     EISSN: 14697696     Source Type: Journal    
DOI: 10.1080/713665670     Document Type: Article

References (114)

1. Adler R, Feldman R and Taqqu M (eds) 1996 A Practical Guide to Heavy Tails: Statistical Techniques for Analyzing Heavy Tailed Distributions (Boston: Birkhauser)
2. Andersen T G and Bollerslev T 1997 Intraday periodicity and volatility persistence in financial markets J. Empirical Finance 4 115–58
3. Ané T and Geman H 1999 Stochastic volatility and transaction time: an activity based volatility estimator J. Risk 57–69
4. Arnéodo A, Muzy J F and Sornette D 1998 Causal cascade in the stock market from the infrared to the ultraviolet Euro. Phys. J. B 2 277–82
5. Ausloos M and Vandewalle N 1997 Coherent and random sequences in financial fluctuations Physica A 246 454–9
6. Bacry E, Muzy J F and Delour J 2001 Multifractal random walks Phys. Rev. E at press
7. Barndorff-Nielsen O E 1997 Normal inverse Gaussian distributions and the modelling of stock returns Scandinavian J. Statistics 24 1–13
8. Beran J 1992 Statistical methods for data with long range dependence Stat. Sci. 7 404–27
9. Blattberg R and Gonnedes N 1974 A comparison of stable and Student distribution as statistical models for stock prices J. Business 47 244–80
10. Bollerslev T, Chou R C and Kroner K F 1992 ARCH modelling in finance J. Econometrics 52 5–59
11. Bouchaud J-P and Potters M 1997 Théorie des Risques Financiers (Aléa-Saclay: Eyrolles)
12. Bouchaud J-P 2001 Power laws in economics and finance Quantitative Finance 1 105–12
13. Bouchaud J-P, Matacz A and Potters M 2001 The leverage effect in financial markets: retarded volatility and market panic Preprint http://xxx.lpthe.jussieu.fr/abs/cond-mat/0101120
14. Brock W A and de Lima P J F 1995 Nonlinear time series, complexity theory and finance Handbook of Statistics Volume 14: Statistical Methods in Finance ed G Maddala and C Rao (New York: North-Holland)
15. Campbell J, Grossmann S and Wang J 1993 Trading volume and serial correlation in stock returns Q. J. Economics 108 905–39
16. Campbell J, Lo A H and McKinlay C 1997 The Econometrics of Financial Markets (Princeton, NJ: Princeton University Press)
17. Campbell J, Lo A H and McKinlay C 1999 A Non-Random Walk Down Wall Street (Princeton, NJ: Princeton University Press)
18. Cizeau P, Potters M and Bouchaud J-P 2000 Correlations of extreme stock returns within a non-Gaussian one-factor model Science & Finance Working Paper
19. Clark P K 1973 A subordinated stochastic process model with finite variance for speculative prices Econometrica 41 135–55
20. Comte F and Renault E 1996 Long memory continuous time models J. Econometrics 73 101–50
21. Cont R, Potters M and J-P Bouchaud 1997 Scaling in stock market data: stable laws and beyond Scale Invariance and Beyond (Proc. CNRS Workshop on Scale Invariance, Les Houches, 1997) ed Dubrulle, Graner and Sornette (Berlin: Springer)
22. Cont R 1998 Statistical Finance: empirical and theoretical approaches to the statistical modelling of price variations in speculative markets Doctoral Thesis, Université de Paris XI
23. Cont R 1999 Statistical properties of financial time series Mathematical Finance: Theory and Practice. Lecture Series in Applied Mathematics ed R Cont and J Yong vol 1 (Beijing: Higher Education Press)
24. Cont R 1999 Modelling economic randomness: statistical mechanics of market phenomena Statistical Physics on the Eve of the 21st Century ed M Batchelor and L T Wille (Singapore: World Scientific)
25. Cont R 1998 Clustering and dependence in extreme market returns Extremes: Risk and Safety. Statistical Extreme Value Theory and Applications, Gothenburg, Sweden, 18–22 August 1998
26. Cont R 2000 Multiresolution analysis of financial time series Working Paper
27. Cutler D M, Poterba J M and Summers L 1989 What moves stock prices? J. Portfolio Management 4–12
28. Dacorogna M M, Müller U A, Pictet O V and de Vries C G 1992 The distribution of extremal foreign exchange rate returns in large data sets Olsen and Associates Internal document UAM. 19921022
29. Darolles S, Florens J P and Gourieroux Ch 1999 Kernel based nonlinear canonical analysis CREST Working Paper
30. Davidson J 1997 Stochastic Limit Theory (Oxford: Oxford University Press)
31. Davis R A and Mikosch T 1998 Limit theory for the sample ACF of stationary process with heavy tails with applications to ARCH Ann. Statistics 26 2049–80
32. Davis R A and Mikosch T 1999 The sample autocorrelations of financial time series models EURANDOM Working Paper 99–039
33. Davison A C and Cox D R 1989 Some simple properties of sums of random variables having long range dependence Proc. R. Soc. A 424 255–62
34. Ding Z, Granger C W J and Engle R F 1983 A long memory property of stock market returns and a new model J. Empirical Finance 1 83
35. Ding Z X and Granger C W J 1994 Stylized facts on the temporal distributional properties of daily data from speculative markets University of California, San Diego, Working Paper
36. Ding Z and Granger C W J 1996 Modelling volatility persistence of speculative returns: a new approach J. Econometrics 73 185–216
37. Eberlein E, Keller U and Prause K 1998 New insights into smile, mispricing and value at risk: the hyperbolic model J. Business 71 371–405
38. Embrechts P, Kluppelberg C and Mikosch T 1997 Modelling Extremal Events, (New York: Springer)
39. Engle R F 1995 ARCH: Selected Readings (Oxford: Oxford University Press)
40. Falconer K 1990 Fractal Geometry: Mathematical Foundations and Applications (New York: Wiley)
41. Fama E F 1963 Mandelbrot and the stable paretian hypothesis J. Business 36 420–29
42. Fama E F 1965 The behavior of stock market prices J. Business 38 34–105
43. Fama E F 1971 Efficient capital markets: a review of theory and empirical work J. Finance 25 383–417
44. Fama E F 1991 Efficient capital markets: II J. Finance 46 1575–613
45. Fisher A, Calvet L and Mandelbrot B 1998 Multifractal analysis of USD/DM exchange rates Yale University Working Paper
46. Ghashghaie S et al 1996 Turbulent cascades in foreign exchange markets Nature 381 767
47. Goodhart C E and O’Hara M 1997 High frequency data in financial markets: issues and applications J. Empirical Finance 4 73–114
48. Gourieroux C 1997 ARCH Models and Financial Applications (Berlin: Springer)
49. Gourieroux C, Jasiak J and Lefol G 1999 Intra-day market activity J. Financial Markets 2 193–226
50. Gourieroux Ch and Jasiak J 2001 Econometrics of finance Manuscript
51. Ghashghaie S et al 1996 Turbulent cascades in foreign exchange markets Nature 381 767
52. Gopikrishnan P, Meyer M, Amaral L A N and Stanley H E 1998 Inverse cubic law for the distribution of stock price variations Euro. Phys. J. B 3 139–40
53. Granger C W J and Morgenstern O 1970 Predictability of Stock Market Prices (Lexington, KY: Heath)
54. Granger C W J 1977 Long term dependence in common stock returns J. Financial Economics 4 339–49
55. Granger C W J and Ding Z 1996 Varieties of long memory models J. Econometrics 73 61–77
56. Guillaume D M, Dacorogna M M, Davé R R, Müller U A, Olsen R B and Pictet O V 1997 From the birds eye to the microscope: a survey of new stylized facts of the intra-day foreign exchange markets Finance Stochastics 1 95–130
57. Hall J, Brorsen B and Irwin S 1989 The distribution of future prices: a test of the stable paretian and mixture of normals hypothesis J. Financial Quantitative Anal. 24 105–16
58. Halsey T C, Jensen M H, Kadanoff L P, Procaccia I and Shraiman B L 1986 Fractal measures and their singularities: the characterization of strange sets Phys. Rev. A 33 1141–51
59. Harvey A C 1998 Long memory in stochastic volatility Forecasting volatility in financial markets ed Knight and Satchell (Oxford: Butterworth-Heinemann) pp 307–20
60. Hsieh D A 1988 The statistical properties of daily exchange rates J. Int. Economics 13 171–86
61. Hsieh D A 1989 Testing for nonlinear dependence in foreign exchange rates J. Business 62 339–668
62. Hwang W and Mallat S 1994 Characterization of self-similar multifractals with wavelet maxima Appl. Computational Harmonic Anal. 1 316–28
63. Härdle W 1990 Applied Non Parametric Regression (Cambridge: Cambridge University Press)
64. Hauksson H A, Dacorogna M M, Domenig T, Müller U and Samorodnitsky G 2001 Multivariate extremes, aggregation and risk estimation Quantitative Finance 1 79–95
65. Hosking J R M 1996 Asymptotic distributions of the sample mean, autocovariances and autocorrelations of long memory time series J. Econometrics 73 261–85
66. Jaffard S 1997 Multifractal formalism for functions I: results valid for all functions SIAM J. M. Anal. 28 944–70
67. Jaffard S 1997 Multifractal formalism for functions II: self-similar functions SIAM J. Math. Anal. 28 971–98
68. Jaffard S 1997 The multifractal nature of Lévy processes Preprint
69. Jain P C and Joh G-H 1988 The dependence between hourly prices and trading volume J. Financial Quantitative Anal. 23 269–84
70. Jansen D W and de Vries C G 1991 On the frequency of large stock returns: putting booms and busts into perspective Rev. Economics Statistics 73 18–24
71. Johansen A and Sornette D 1998 Stock market crashes are outliers Euro. Phys. J. B 1 141–3
72. Kon S 1984 Models of stock returns: a comparison J. Finance XXXIX 147–65
73. Lamoureux C G and Lastrapes W D 1990 Heteroskedasticity in stock return data: volume versus GARCH effects J. Finance XLV 221–9
74. Liu Y, Cizeau P, Meyer M, Peng C K and Stanley H E 1997 Correlations in economic time series Physica A 245 437
75. Lo A W 1991 Long term memory in stock market prices Econometrica 59 1279–313
76. Longin F 1996 The asymptotic distribution of extreme stock market returns J. Business 63 383–408
77. Lux T 1997 The limiting extremal behavior of speculative returns: an analysis of intradaily data from the Frankfurt Stock exchange University of Bonn Working Paper
78. Laloux L, Cizeau P, Potters M and Bouchaud J-P 1999 Random matrix theory Risk 12 69
79. Laloux L, Cizeau P, Bouchaud J-P and Potters M 1999 Noise dressing of financial correlation matrices Phys. Rev. Lett. 83 1467
80. Mandelbrot B 1963 The variation of certain speculative prices J. Business XXXVI 392–417
81. Mandelbrot B 1966 Forecasts of future prices, unbiased markets and martingale models J. Business 39 242–55
82. Mandelbrot B and Wallis J 1968 Noah, Joseph and operational hydrology Water Resources Res. 4 909–18
83. Mandelbrot B and Van Ness J W 1968 Fractional Brownian motion, fractional Brownian noises and applications SIAM Rev. 10 422–37
84. Mandelbrot B 1968 Forecasts of future prices, unbiased markets and martingale models J. Business 39 242–55
85. Mandelbrot B 1971 When can prices be arbitraged efficiently? A limit to the validity of random walk and martingale models Rev. Economics Statistics 53 225–36
86. Mandelbrot B 1974 Intermittent turbulence in self-similar cascades J. Fluid Mechanics 62 331
87. Mandelbrot B 1975 Limit theorems on the self normalized range for weakly and strongly dependent processes Zeitschrift fur Wahrscheinlichkeitstheorie und verwandete Gebiete 31 271–85
88. Mandelbrot B and Taqqu M 1979 Robust R/S analysis of long serial correlation Bull. Int. Stat. Institute II pp 59–104
89. Mandelbrot B 1997 Fractals and Scaling in Finance: Discontinuity, Concentration and Risk (New York: Springer)
90. Mandelbrot B, Fisher A and Calvet L 1997 The multifractal model of asset returns Cowles Foundation for Economic Research Working Paper
91. Mandelbrot B 2001 Scaling in financial prices: tails and dependence Quantitative Finance 1 113–23
92. Mallat S 1996 A Wavelet Tour of Signal Processing (New York: Academic)
93. Mantegna R N and Stanley H E 1995 Scaling behavior of an economic index Nature 376 46–9
94. Mehta M L 1990 Random Matrices (New York: Academic)
95. Maddala and Rao (ed) 1997 Handbook of Statistics: Statistical Methods in Finance vol 14 (Amsterdam: North-Holland)
96. Mikosch T and Starica C 2000 Limit theory for the sample autocorrelations and extremes of a GARCH(1,1) process Ann. Statistics 24 no 4
97. Müller U A, Dacorogna M, Davé R D, Olsen R B, Pictet O V and von Weizsacker J E 1997 Volatilities of different time resolutions—analyzing the dynamics of market components J. Empirical Finance 4 213–39
98. Müller U A, Dacorogna M A and Pictet O V 1996 Heavy tails in high-frequency financial data Olsen and Associates, Zürich, Preprint
99. Muzy J F, Bacry E and Arneodo A 1994 The multifractal formalism revisited with wavelets Int. J. Bifurcation Chaos 4 245
100. Muzy J F, Delour J and Bacry E 2000 Modelling fluctuations of financial time series: from cascade process to stochastic volatility model Euro. Phys. J. B at press
101. Parisi G and Frisch U 1985 On the singularity structure of fully developed turbulence Proc. Int. School of Physics Enrico Fermi 1983 ed Ghil et al (Amsterdam: North-Holland) pp 84–7
102. Pagan A 1996 The econometrics of financial markets J. Empirical Finance 3 15–102
103. Plerou V, Gopikrishnan P, Rosenow B, Amaral L A N and Stanley H E 1999 Universal and nonuniversal properties of cross correlations in financial time series Phys. Rev. Lett. 83 1471
104. Prause K 1998 The generalized hyperbolic model PhD Dissertation, University of Freiburg
105. Pictet O V, Dacorogna M, Müller U A, Olsen R B and Ward J R 1997 Statistical study of foreign exchange rates, empirical evidence of a price change scaling law and intraday analysis J. Banking Finance 14 1189–208
106. Rebonato R 1999 Volatility and Correlation (New York: Wiley)
107. Resnick S 1998 Why nonlinearities can ruin a heavy tail modelers day A Practical Guide to Heavy Tails: Statistical Techniques and Applications ed R J Adler, R E Feldman and M S Taqqu (Boston, MA: Birkhauser)
108. Bouye E, Durrleman V, Nikeghbali A, Riboulet G and Roncalli T 2000 Copulas for finance: a reading guide and some applications Groupe de Recherche Operationnelle, Credit Lyonnais
109. Shephard N 1996 Statistical aspects of ARCH and stochastic volatility Time Series Models ed D R Cox, D V Hinkley and O E Barndorff-Nielsen (London: Chapman & Hall)
110. Shiller R 1989 Market Volatility (Cambridge, MA: MIT Press)
111. Smith R and Weissman I 1994 Estimating the extremal index J. R. Stat. Soc. B 56 515–28
112. Starica C 1998 Multivariate extremes for models with constant condiational correlations J. Empirical Finance 6 515–53
113. Straetmans S 1998 Extreme financial returns and their comovements PhD Thesis, Erasmus Universiteit, Rotterdam
114. Veneziano D, Moglen G E and Bras R L 1995 Multifractal analysis: pitfalls of standard procedures and alternatives Phys. Rev. E 521387–98