Şensoy, Ahmet (2012): Analysis on Runs of Daily Returns in Istanbul Stock Exchange.

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Abstract
The aim of this paper is to obtain some statistical properties about runs of daily returns of ISE30, ISE50 and ISE100 indices and compare these results with the empirical stylized facts of developed stock markets. In this manner, all time historical daily closing values of these indices are studied and the following observations are obtained; exponential law fits pretty well for the distribution of both run length and magnitude of run returns. Market is equally likely to go up or go down everyday. Market depth has improved over recent years. Large magnitudes of run returns are more likely to be seen in positive runs. As in the developed stock markets, daily returns in Istanbul Stock Exchange don’t have significant autocorrelations but absolute values (i.e. magnitudes) of daily returns exhibit strong and slowly decaying autocorrelations up to several weeks suggesting volatility clustering. Similar to the absolute daily returns, absolute value of run returns display strong and slowly decaying autocorrelations which again supporting the existence of volatility clustering. Unlike magnitudes of run returns, lenghts of runs don’t have significant autocorrelations.
Item Type:  MPRA Paper 

Original Title:  Analysis on Runs of Daily Returns in Istanbul Stock Exchange 
English Title:  Analysis on Runs of Daily Returns in Istanbul Stock Exchange 
Language:  English 
Keywords:  Stylized Facts; Return Runs; Autocorrelation; Volatility Clustering; Stock Market Efficiency 
Subjects:  C  Mathematical and Quantitative Methods > C1  Econometric and Statistical Methods and Methodology: General > C10  General C  Mathematical and Quantitative Methods > C2  Single Equation Models; Single Variables > C20  General C  Mathematical and Quantitative Methods > C0  General > C00  General 
Item ID:  42645 
Depositing User:  Ahmet Şensoy 
Date Deposited:  15. Nov 2012 15:25 
Last Modified:  13. Feb 2013 08:37 
References:  Abergel F., A. Chakraborti, I.M. Tokea, M. Patriarca, “Econophysics: Empirical Facts and agent based models”; arXiv: 0909.1974, 2009 Blok H.J., “On the Nature of Stock Markets: Simulations and Experiments”, Ph.D. Thesis, The University of British Columbia, 2000 Bollerslev T., R.C. Chou, K.F. Kroner, “ARCH modelling in finance”, J. Econometrics 52, 1992, pp. 5–59 Bouchaud J. P., R. Cont, M. Potters, “Scaling in stock market data: stable laws and beyond” , published in “Scale Invariance and Beyond” (Proceedings of the CNRS Workshop on Scale Invariance, Les Houches, 1997) edp Dubrulle, Graner and Sornette, Springer, Berlin, 1997 Bouchaud J.P., M. Potters, “Theory of Financial Risk and Derivative Pricing: From Statistical Physics to Risk Management”, Cambridge University Press, Cambridge, 2003. Comte F., E. Renault, “Long memory continuous time models”, J. Econometrics 73, 1996, pp. 101–150 Cont R., “Statistical Finance: empirical and theoretical approaches to the statistical modelling of price variations in speculative markets”, Ph.D. Thesis, Universit´e de Paris XI, 1998 Cont R., “Emprical Properties of Asset Returns: Stylized Facts and Statistical Issues”, Quant. Finance 1, Institute of Physics Publishing, 2001, pp. 223226 Cont R., “Long Memory in Economics”, Springer Berlin Heidelberg, Heidelberg, 2007, (Ch. Volatility clustering in financial markets: empirical facts and agent based models, pp. 289309) Ding Z.X., R.F. Engle, C.W.J Granger, “A long memory property of stock market returns and a new model”, J. Empirical Finance 1, 1983, pp. 83106 Ding Z.X., C.W.J. Granger, “Stylized facts on the temporal distributional properties of daily data from speculative markets”, University of California, San Diego, Working Paper, 1994 Easley D., N. Kiefer, M. O’Hara, “One Day in the Life of a Very Common Stock”, The Review of Financial Studies 10(3), 1997, pp. 805835 Engle R.F., “ARCH: Selected Readings , Oxford University Press, Oxford, 1995 Engle R.F., A.J. Patton, “What good is a volatility model?”, Quant. Finance 1, 2001, pp. 237245 Fama E.F., “The Behavior of Stock Market Prices”, Journal of Business 38(1), 1965, pp. 34105 Fama E.F., “Efficient capital markets: a review of theory and empirical work”, J. Finance 25 , 1971, pp. 383–417 Fama E.F., “Efficient capital markets: II”, J. Finance 46, 1991, pp. 1575–1617 Gao Y., Li H., Statistical distribution and time correlation of stock returns runs , Physica A 377, 2006, pp. 193198 Grafton R.G.T, “The runsup and runsdown tests”, Applied Statistics 30(1), 1981, pp. 8185 Mandelbrot B., “The variation of certain speculative prices” J. Business XXXVI, 1963, pp. 392–417 Mantegna R.N., H.E. Stanley, “Introduction to Econophysics: Correlations and Complexity in Finance”, Cambridge Univetsity Press, Cambridge, 2000 Marumo K., T. Ohira, N. Sazuka, T. Shimizu, M. Takayasu, H. Takayasu, Predictability of Currency Market Exchange , Physica A 308, 2002, pp. 368373 Pagan A., “The econometrics of financial markets”, J. Empirical Finance 3, 1996, pp. 15–102 Taqqu M., W. Willinger, V. Teverovsky, “Long range dependence and stock returns, Finance and Stochastics 3, 1999, pp. 1–13 
URI:  http://mpra.ub.unimuenchen.de/id/eprint/42645 