Benbachir, Saâd and El Alaoui, Marwane (2011): A Multifractal Detrended Fluctuation Analysis of the Moroccan Stock Exchange. Published in: International Research Journal of Finance and Economics No. 78 (2011): pp. 6-17.
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Abstract
We perform the Multifractal Detrended Fluctuation Analysis (MF-DFA) method to investigate the multifractal properties of the Moroccan All Shared Index (MASI) and the Moroccan Most Active Shares Index (MADEX) from the Casablanca Stock Exchange (CSE). By applying the MF-DFA method we first calculate the generalized Hurst exponents and we then deduce the Rényi exponents as well asthe singularity spectrum of the MASI and MADEX indices. Furthermore, we perform the shuffling and the phaserandomization techniques to detect the sources of the multifractality. We show that there are two major sources of multifractality, the long-range temporal correlations and the fattail distribution. We show notably that the first source contributes mainly to the multifractality of MASI index while the two sources contribute almost equally to the multifractality of the MADEX index. By comparing the multifractal behavior of the MASI and MADEX indices we find finally that the first one exhibits a richer multifractal feature than the second one. This permits us to conclude that the greater is the stock market the more complex is the dynamics of the stock market index representing all of the market, which is traduced by richer multifractal behavior of this index. This study leads to the principal conclusion that the Casablanca Stock Exchange is characterized by a multifractal behavior.
Item Type: | MPRA Paper |
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Original Title: | A Multifractal Detrended Fluctuation Analysis of the Moroccan Stock Exchange |
English Title: | A Multifractal Detrended Fluctuation Analysis of the Moroccan Stock Exchange |
Language: | English |
Keywords: | Multifractality, Generalized Hurst exponent, Rényi exponent, Singularity spectrum |
Subjects: | C - Mathematical and Quantitative Methods > C0 - General C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General G - Financial Economics > G1 - General Financial Markets |
Item ID: | 49003 |
Depositing User: | Karl Karl Karl |
Date Deposited: | 10 Aug 2013 18:23 |
Last Modified: | 26 Sep 2019 15:47 |
References: | [1] R.N. Mantegna and H.E. Stanley, An introduction to econophysics: correlations and complexity in finance, Cambridge University Press, Cambridge, 2000. [2] J. McCauley, Dynamics of Markets, Econophysics and Finance, Cambridge University Press, 2004. [3] A. L. Cornelis and R. Yalamova, Multifractal Spectral Analysis of the 1987 Stock Market Crash, International Research Journal of Finance and Economics, ISSN 1450-2887 Issue 4, 2006. [4] R. Yalamova, Wavelet test of multifractality of asia-pacific index prices series, Asian Academy of Management Journal of Accounting and Finance (AAMJAF), Vol. 2, No. 1, 63–83, 2006. [5] P. Oświęcimkaa, J. Kwapieńa, S. Drożdż and R. Rak, Investigating multifractality of stock market fluctuations using wavelet and detrending fluctuation methods, Acta Physica Polonica B, No 8, Vol. 36, 2005. [6] S. Drożdż, J. Kwapień, P. Oświecimka and R. Rak, Quantitative features of multifractal subtleties in time series , EPL (Europhysics Letters), Volume 88, Number 6, Issue 66, December 2009. [7] S. Stavroyiannis, I. Makris and V. Nikolaidis , Non-extensive properties, multifractality, and inefficiency degree of the Athens Stock Exchange General Index, International Review of Financial Analysis, Volume 19, Issue 1, January 2010, Pages 19-24. [8] L. Gyuchang, S.Y. Kim, H. Lee, K. Kim and D.I Lee, Multifractal detrended fluctuation analysis of derivative and spot markets, Physica A, Volume 386, Issue 1, 1 December 2007, Pages 259-266. [9] P. Norouzzadeh and B. Rahmani , A multifractal detrended fluctuation description of Iranian rial–US dollar exchange rate Original Research Article, Physica A, Volume 367, 15 July 2006, Pages 328-336. [10] W.X Zhou, The components of empirical multifractality in financial returns, EPL (Europhysics Letters), Volume 88, Number 2, 2009. [11] Y. Yuan, X.T Zhuang and X. Jin, Measuring multifractality of stock price fluctuation using multifractal detrended fluctuation analysis, Physica A, Volume 388, Issue 11, 1 June 2009, Pages 2189-2197. [12] P. Oswiecimka, J. Kwapien and S. Drozdz , Multifractality in the stock market: price increments versus waiting times, Physica A 347 (2005) 626-638. [13] G.F. Gu, W. Chen and W.X. Zhou , Quantifying bid-ask spreads in the Chinese stock market using limit-order book data , Eur. Phys. J. B 57, 81-87 (2007). [14] Y. Wang, L. Liu and R. Gu , Analysis of efficiency for Shenzhen stock market based on multifractal detrended fluctuation analysis, International Review of Financial Analysis, Volume 18, Issue 5, December 2009, Pages 271-276. [15] P. Oswiecimka, J. Kwapien, S. Drozdz, A.Z. Gorski and R. Rak, Different fractal properties of positive and negative returns, Acta Physica Polonica A, Vol. 114 No 3. page 547, 2008. [16] Z.Y. Su, Y.T. Wang and H.Y. Huang, A Multifractal Detrended Fluctuation Analysis of Taiwan’s Stock Exchange, Journal of the Korean Physical Society, Vol. 54, No. 4, April 2009, pp. 1395-1402. [17] J.W. Kantelhardt, S.A. Zschiegner, E. Koscielny-Bunde, S. Havlin, A. Bunde, H.E. Stanley: Multifractal detrended fluctuation analysis of nonstationary time series, Physica A 316 (2002) 87-114. [18] J. W. Kantelhardt, K.-B. Eva, H.H.A. Rego, S. Havlin, A. Bunde, Detecting Long-range Correlations with Detrended Fluctuation Analysis, Physica A 295, 441-454 (2001). [19] P. Norouzzadeh and G. R. Jafari, Application of multifractal measures to Tehran price index, Physica A, Volume 356, Issues 2-4, 15 October 2005, Pages 609-627. [20] E.I. Scarlat, C. Stan and C.P. Cristescu, Self-similar characteristics of the currency exchange rate in an economy in transition, Physica A 379 (2007) 188–198. [21] A.O.J Matos, S.M.A. Gama, H.J. Ruskin, A.A Sharkasi and M. Crane , Time and scale Hurst exponent analysis for financial markets, Physica A, Volume 387, Issue 15, 15 June 2008, Pages 3910-3915. [22] M. Ausloos, Econophysics of Stock and Foreign Currency Exchange Markets, chap. 9, “Econophysics and Sociophysics: Trends and Perspectives”, Eds. B.K. Chakrabarti, A. Chakraborti and A. Chatterjee, Wiley-VCH, Berlin, 2006. [23] J. Theiler, S. Eubank, A. Longtin, B. Galdrikian, and J. D. Farmer, Testing for nonlinearity in time series: The method of surrogate data, Physica D, 58, 77 (1992). [24] T. Schreiber and A. Schmitz, Improved Surrogate Data for Nonlinearity Tests, Volume 77, Number 4, Physical Review Letters, 22 JULY 1996. [25] D. Kugiumtzis, Statically transformed autoregressive process and surrogate data test for nonlinearity, Physical Review E, 2002 Aug 2002 Aug 23. [26] D. Kugiumtzis, Evaluation of Surrogate and Bootstrap Tests for Nonlinearity in Time Series, Studies in Nonlinear Dynamics & Econometrics, Volume 12, Issue 1, 2008, Article 4, Nonlinear dynamical methods And time series analysis. [27] D. Kugiumtzis and A. Tsimpiris, Measures of Analysis of Time Series (MATS):A MATLAB Toolkit for Computation of Multiple Measures on Time Series Data Bases, Journal of Statistical Software, February 2010, Volume 33, Issue 5. [28] C. K. Peng, S. V. Buldyrev, S. Havlin, M. Simons, H. E. Stanley and A. L. Goldberger, Mosaic Organization of DNA Nucleotides, Phys. Rev. E 49, 1685-1689 (1994) [29] S. V. Buldyrev, A. L. Goldberger, S. Havlin, R. N. Mantegna, M. E. Matsa, C.-K. Peng, M. Simons, and H. E. Stanley, Long-Range Correlation Properties of Coding and Noncoding DNA Sequences: GenBank Analysis," Phys. Rev. E 51, 5084-5091 (1995) [30] K. Hu, Z. Chen, P. Ch. Ivanov, P. Carpena, and H. E. Stanley, Effect of Trends on Detrended Fluctuation Analysis, Phys. Rev. E 64, 011114 (2001). [31] Z. Chen, P. Ch. Ivanov, K. Hu, and H. E. Stanley, Effect of Nonstationarities on Detrended Fluctuation Analysis, Phys. Rev. E 65, 041107 (2002). [32] K. Matia, Y. Ashkenazy, and H. E. Stanley, Multifractal Properties of Price Fluctuations of Stocks and Commodities, Europhys. Lett. 61, 422-428 (2003). [33] Y. Ashkenazy, P. Ch. Ivanov, S. Havlin, C.-K. Peng, A. L. Goldberger, and H. E. Stanley, Magnitude and Sign Correlations in Heartbeat Fluctuations, Phys. Rev. Lett. 86, 1900-1903 (2001). [34] P. Oswiecimka, J. Kwapien, S. Drozdz, Wavelet versus Detrended Fluctuation Analysis of multifractal structures, Phys. Rev. E 74, 016103 (2006). |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/49003 |