Mattarocci, Gianluca (2006): Market characteristics and chaos dynamics in stock markets: an international comparison.
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Abstract
The chaos theory assumes that the returns dynamics are not normally distributed and more complex approaches have to be used to study these time series. In fact, the Fractal Market Hypothesis assumes that the returns dynamics are not independent of the investors’ attitudes and represent the result of the interaction of traders who, frequently, adopt different investment styles. The studies proposed in literature try to identify the best approach to define the fractal dimension using, in particular, data of highly developed financial markets where a more complete set of information is available and the price determination mechanism is more efficient. A fault found with these approaches is that the results do not allow making out if there is a relationship between fractal dimension and market characteristics and, besides, it is hard to understand which aspects are more relevant in the definition of the fractal market dimension. In fact, previous studies analysed market liquidity for a limited number of countries and no other aspects related to market transactions have been considered. Using a large sample of world stock indexes, I try to identify the main market characteristics that influence returns dynamics. This study, carried out having recourse to the Rescaled Range Analysis (R/S) approach, shows that markets characteristic, like liquidity, type of admissible orders and so on, influence the R/S capability to study returns dynamics.
Item Type: | MPRA Paper |
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Institution: | University of Rome Tor Vergata - Sefemeq department |
Original Title: | Market characteristics and chaos dynamics in stock markets: an international comparison |
Language: | English |
Keywords: | Chaos; fractal dimension; R/S analysis and market characteristics |
Subjects: | D - Microeconomics > D4 - Market Structure, Pricing, and Design > D49 - Other G - Financial Economics > G1 - General Financial Markets > G12 - Asset Pricing ; Trading Volume ; Bond Interest Rates C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C14 - Semiparametric and Nonparametric Methods: General F - International Economics > F3 - International Finance > F37 - International Finance Forecasting and Simulation: Models and Applications |
Item ID: | 4296 |
Depositing User: | Gianluca Mattarocci |
Date Deposited: | 31 Jul 2007 |
Last Modified: | 26 Sep 2019 19:35 |
References: | Abhyankar A., Copeland L.S. and Wong W. (1995), “Non linear dynamics in real time equity market indices: evidence from the United Kingdom”, Economic Journal, vol. 105, pp. 864-880. Antoniou A., Ergul N. and Holmes P. (1997), “Market efficiency, thin trading and nonlinear behavior. Evidence from an emerging country”, European Financial Management, vol. 3, pp. 175-190 Arnold V.I. (1992), Catastrophe theory, Springer-Verlag, Berlin, pp. 14-19. Assaf A. and Cavalcante J. (2005), “Long range dependence in the returns and volatility of the Brazilian stock market”, European Review of Economic and Finance, vol. 4, pp. 1-19 Atkins A.B. and Dyl E.A. (1990), “Price reversal, bid ask spreads and market efficiency”, Journal of Financial and Quantitative Analysis, vol. 25, pp. 535-547. Banfi A. (2004), I mercati e gli strumenti finanziari. Disciplina e organizzazione della borsa, ISEDI, Torino, pp. 259-295. Barkoulas J.T. and Baum C.F. (1996), Long term dependence in stock returns, Boston College working papers in Economics n°314, Boston. Bayracatar E., Poor V.H. And Sircar K.R. (2003), Estimating the fractal dimension of the S&P 500 using Wavelet analysis, Princeton University working paper Beja e Goldman (1980), “On the dynamic of prices in disequilibrium”, Journal of Finance, vol.35, pp. 235-248 Bouchaud J.P., Gefen Y., Potters M. and Wyart M. (2004), “Fluctuations and response in financial markets: the subtle nature of random price change”, Quantitative Finance, vol. 4, pp. 176-190. Brock W.A. and Cars H.H. (1998), “Heterogeneous beliefs and routes to chaos in a simple asset pricing model”, Journal of Economic Dynamics and Control, vol. 22, pp. 1235-1274. Brock W.A., Dechert W. and Scheinkman J. (1987), A test for independence based correlation dimension, University of Wisconsin working paper, Madison. Brock W.A., Hsieh D.A. and LeBaron B. (1993), Nonlinear dynamics, chaos and instability: statistical theory and economic evidence, MIT press, Cambrige, pp. 82-129. Brown C. (1995), Chaos and catastrophe theories, SAGE publications, Thousand Oaks, pp. 8-21. Broze L., Gourieroux C. and Szafarz A. (1990), “Speculative bubbles and exchange of information on the market of a storable good”, in Barnett W.A., Geweke J. and Shell K., Economic complexity: chaos, sunspots, bubbles and nonlinearity, Cambridge University Press, New York. Cass D. and Shell K. (1983), “Do sunspots matters?”, Journal of Political Economy, vol. 91, pp.193-207. Chan K.S. and Tong H. (2001), Chaos: a statistical perspective, Springer-Verlang, New York, pp.17-28. Chordia T., Roll R. and Subrahmayam A. (2001), “Market liquidity and trading activity”, Journal of Finance, vol. 56, pp. 501-530. Clide W.C. and Osler C.L. (1997), “Charting: chaos theory in disguise?”, Journal of Future Markets, vol. 17, pp. 489-514. Connelly T.J. (1996), “Chaos theory and the financial markets”, Journal of Financial Planning, ,pp.26-30 Costantinides G.M. (1986), “Capital market equilibrium with transaction costs”, Journal of Political Economy, vol. 94, pp. 842-862. Cunningam L.A. (2000), From random walks to chaotic crashes; the linear genealogy and the efficient capital market hypothesis, Boston College of Law working paper. Davis M.H.A. and Norman A.R. (1990), “Portfolio selection with transaction costs”, Mathematics of Operation Research, vol. 15, pp. 676-713. Day R.H. (1993), “Complex economic dynamics: obvious in history, generic in theory, elusive in data”, in Pesaran N.H. and Potter S.M., Nonlinear dynamics, chaos and econometrics, John Wiley and Sons, Chichester. De Long J.B., Shleifer A., Summers L.H. e Waldman R.J. (1991), “The survival of noise traders in financial markets”, Journal of Business, vol. 64, pp. 1-19 Devaney R.L. (1990), Caos e frattali, Addison-Wesley Published Company, Milano, pp. 149-171. Eckman J.P. (1985), “Ergodic theory of chaos dynamics and strange attractors”, Review of Modern Physics, vol. 57, pp. 617-656. Falconer K. (1990), Fractal geometry. Mathematical foundations and applications, John Wiley and Sons, Chichester, pp. 25-68. Fama E. (1970), “Efficient Capital markets: A review of the theory and empirical works”, Journal of Finance, vol. 25, 383-417. Famer J.D. and Joshi S. (2002), “The price dynamics of common trading strategies”, Journal of Economic Behaviour and Organization, vol. 49, pp. 149-171. Greenside H.S., Wolf A. Swift J. and Pignataro T. (1982), “Impracticability of a box counting algorithm for calculating the dimensionality of strange attractors”, Physical Review A, vol. 25, pp.3453-3456. Grossman S.J. and Miller M.H. (1988), “Liquidity and market structure”, Journal of Finance, vol. 43, pp. 617-633. Hamilton J.D. (1995), Econometria delle serie storiche, Monduzzi Editore, Bologna, pp. 51-87. Henry O.T. (2002), “Long memory in stock returns: some international evidence”, Applied Financial Economics, vol. 12, pp. 725-729. Hiemstra C. and Jones J.D. (1997), “Another look at long memory in common stock returns”, Journal of Empirical Finance, vol. 4, pp. 373-401. Hinich M.I. and Patterson D.M. (1990), “Evidence of nonlinearity in the trade-by-trade stock market return generating process”, in Barnett W.A., Geweke J. and Shell K., Economic complexity:chaos, sunspots, bubbles and nonlinearity, Cambridge University Press, New York. Hsieh D.A. (1991), “Chaos and non linear dynamics: applications for financial markets”, Journal of Finance, vol. 46, pp. 1839-1877. Huang B.N. andYang C.W. (1995), The fractal structure in multinational stock returns, Applied Economic Letters, vol. 2, pp. 67-71. Hurst H.E. (1991), “The long term storage capacity of reservoirs”, Transactions of the American Society of Civil Engineers, vol. 116, pp. 770-799. Iori G., Daniels M.G., Famer J.D., Gillemot L., Krishnamurty S. e Smith E. (2003), “An analysis of price impact function in order driven markets”, Phisica A, vol. 324, pp. 146-151. Jaditz T. and Sayers C. (1993), “Is chaos generic in economic data?”, International Journal of Bifurcations and Chaos, vol. 3, pp. 745-755. Kaizoji T. (2002), “Speculative price dynamics in a heterogeneous agent model”, Nonlinear dynamics, Psychology and Life Science, vol. 6, pp. 217-229. Kugiumtzis D., Lillekjendlie B. and Christophersen N. (1995), Chaotic time series. Part 1: Estimation of some invariant properties in state space, University of Oslo working paper. Kugiumtzis D., Lillekjendlie B. and Christophersen N. (1995), Chaotic time series. Part I1: system identification and prediction, University of Oslo working paper. LeBaron B. (1993), “Forecast improvements using volatility index” , in Pesaran N.H. and Potter S.M., Nonlinear dynamics, chaos and econometrics, John Wiley and Sons, Chichester. Lillo F. and Farmer J.D. (2004), “The long memory effect of the efficient market”, Studies in nonlinear Dynamics and Econometrics, vol. 8, pp. 1-32. Linnainmaa J. (2005), The limit order effect, UCLA working paper, Los Angeles. Liu T., Granger C.W.J. and Heller W.P. (1992), “Using the correlation exponent to decide whether an economic series is chaotic”, Journal of Applied Econometrics, vol. 7, pp. 525-539. Lo A.W. (1991), “Long term memory in stock market prices”, Econometrics, vol. 5, pp. 1279-1313. Los C.A. (2004), Measuring the degree of financial market efficiency, Kent state University working paper. Mandelbrot B.B. (1987), Gli oggetti Frattali, Giulio Einaudi editore, Milano. Maslow S. (2000), “Simple model of limit order driven market”, Phisica A, vol. 278, pp. 571-578. McCauley J.L. (1994), Chaos, dynamics and fractals. An algorithmic approach to deterministic chaos, Cambridge University Press, Cambridge, pp. 41-84. Mouck T. (1998), “Capital markets research and real world complexity: the emerging challenge of chaos theory”, Accounting, Organizations and Society, vol. 23, pp. 189-215. Mucley C. (2004), “Empirical asset return distributions: is chaos the culprit”, Applied Economic Letters, vol. 11, pp. 81-86. Olmeda I. and Perez J. (1995), “Non linear dynamics and chaos in the Spanish stock market”, Investigaciones Economicas, vol. 19, pp.217-248. Pandey V., Kohers T. and Kohers G. (1998), “Deterministic non linearity in the stock returns of major European equity markets in the United States, Financial Review, vol. 33, pp. 45-64. Peitgen H.O., Jurgens H. and Saupe D. (2004), Chaos and fractals. New frontiers of science, Springer-Verlag, pp. 61-124. Pesaran N.H. and Potter S.M. (1992), “Nonlinear dynamics, chaos and econometrics: an introduction”, Journal of Applied Econometrics, vol. 7, pp. 51-57. Peters E. (1996), Chaos and order in the capital markets. A new view of cycles, prices and market volatility, John Wiley and Sons Chichester, pp. 83-105. Pring M.J. (2002), Analisi tecnica dei mercati finanziari, McGraw Hill Italia, Milano. Sadique S. and Silvapulle P. (2001), “Long term memory in stock market returns: international evidence”, International Journal of Finance and Economics, vol. 6, pp. 59-67. Scheinkman J.A. and LeBaron B. (1989), “Nonlinear dynamics in stock returns”, Journal of Business, vol. 62, pp. 311-337. Schreimber T. (1998), “Interdisciplinary application of nonlinear time series methods”, Phisics Reports, vol. 308, pp. 1-64. Seppi D.J. (1997), “Liquidity provisions with limit orders and specialists”, Review of Financial Studies, vol. 10, pp. 103-150. Seru A., Shumway T. and Stoffman N. (2005), Learning by trading, Stephen Ross School of Business working paper, Ann Arbor. Sewell S.P., Stansell S.R. Lee I. and Below S.D. (1996), “Using chaos measures to examine international capital market integration”, Applied Financial Economics, vol. 6, pp. 91-101. Skarandzinski D.A. (2003), The non linear behavior of stock prices: the impact of firm size, seasonality and trading frequency, Virginia Polytechnic Institute working paper. Tyurin K. (2003), High frequency principal components and evolution of liquidity in a limit order market, Indiana University working paper, Bloomington. Westerhoff F.H. (2005), “Heterogenous traders, price volume signals and complex asset price dynamics”, Discrete Dynamics in Nature and Society, vol. 1, pp. 19-29. Willinger W., Taqqu M.S. and Teverovsky V. (1999), “Stock market prices and long range dependence”, Finance and Stochastics, vol. 3, pp. 1-13. Zanotti G. (2006), “Organizzazione e struttura dei mercati mobiliari” in Fabrizi P.L., Economia del mercato mobiliare, Egea, Milano. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/4296 |