Investigating Long-Range Dependence of Emerging Asian Stock Markets Using Multifractal Detrended Fluctuation Analysis

The use of multifractal approaches has been growing because of the capacity of these tools to analyze complex properties and possible nonlinear structures such as those in financial time series. This paper analyzes the presence of long-range dependence and multifractal parameters in the stock indices of nine MSCI emerging Asian economies. Multifractal Detrended Fluctuation Analysis (MFDFA) is used, with prior application of the Seasonal and Trend Decomposition using the Loess (STL) method for more reliable results, as STL separates different components of the time series and removes seasonal oscillations. We find a varying degree of multifractality in all the markets considered, implying that they exhibit long-range correlations, which could be related to verification of the fractal market hypothesis. The evidence of multifractality reveals symmetry in the variation trends of the multifractal spectrum parameters of financial time series, which could be useful to develop portfolio management. Based on the degree of multifractality, the Chinese and South Korean markets exhibit the least long-range dependence, followed by Pakistan, Indonesia, and Thailand. On the contrary, the Indian and Malaysian stock markets are found to have the highest level of dependence. This evidence could be related to possible market inefficiencies, implying the possibility of institutional investors using active trading strategies in order to make their portfolios more profitable.

[1]  M. Dacorogna,et al.  Defining efficiency in heterogeneous markets , 2001 .

[2]  Kanwalroop Kathy Dhanda,et al.  Chaos in oil prices? Evidence from futures markets , 2001 .

[3]  F. Racicot,et al.  La titrisation aux États-Unis et au Canada , 2014 .

[4]  Dengshi Huang,et al.  Multifractal analysis of SSEC in Chinese stock market: A different empirical result from Heng Seng index , 2005 .

[5]  A. Dionísio,et al.  Frontier markets’ efficiency: mutual information and detrended fluctuation analyses , 2018, Journal of Economic Interaction and Coordination.

[6]  B. Mandelbrot When Can Price Be Arbitraged Efficiently? A Limit to the Validity of the Random Walk and Martingale Models , 1971 .

[7]  B. Tabak,et al.  Testing for time-varying long-range dependence in volatility for emerging markets , 2005 .

[8]  Rakesh Gupta,et al.  Weak-form Market Efficiency and Calendar Anomalies for Eastern Europe Equity Markets , 2011 .

[9]  Sunil Kumar,et al.  Multifractal properties of the Indian financial market , 2009 .

[10]  R. Thaler,et al.  Further Evidence On Investor Overreaction and Stock Market Seasonality , 1987 .

[11]  Ying Yuan,et al.  Measuring multifractality of stock price fluctuation using multifractal detrended fluctuation analysis , 2009 .

[12]  B. Mandelbrot The Variation of Some Other Speculative Prices , 1967 .

[13]  J. E. Trinidad-Segovia,et al.  Introducing Hurst exponent in pair trading , 2017 .

[14]  The empirical analysis for fractal features and long-run memory mechanism in petroleum pricing systems , 2007 .

[15]  P. Gopikrishnan,et al.  Price fluctuations and market activity , 2001 .

[16]  Graham Smith The changing and relative efficiency of European emerging stock markets , 2012 .

[17]  Yun-Jung Lee,et al.  Intraday downward/upward multifractality and long memory in Bitcoin and Ethereum markets: An asymmetric multifractal detrended fluctuation analysis , 2019 .

[18]  Mikhail Kanevski,et al.  Long-range fluctuations and multifractality in connectivity density time series of a wind speed monitoring network. , 2017, Chaos.

[19]  Taro Ikeda Multifractal structures for the Russian stock market , 2018 .

[20]  Multifractal fluctuations in seismic interspike series , 2005, cond-mat/0502168.

[21]  Nafis Alam,et al.  A tripartite inquiry into volatility-efficiency-integration nexus - case of emerging markets , 2017 .

[22]  Syed Aun R. Rizvi,et al.  How does crisis affect efficiency? An empirical study of East Asian markets , 2016 .

[23]  K. Ghosh,et al.  FRACTAL ANALYSIS OF PRIME INDIAN STOCK MARKET INDICES , 2013 .

[24]  Syed Aun R. Rizvi,et al.  Investigating the efficiency of East Asian stock markets through booms and busts , 2014 .

[25]  C. Emmanouilides,et al.  Has the 2008 financial crisis affected stock market efficiency? The case of Eurozone , 2016 .

[26]  Berislav Bolfek,et al.  Testing efficient market hypothesis in developing Eastern European countries , 2018, Investment Management and Financial Innovations.

[27]  C. Hațiegan,et al.  Multifractal Detrended Fluctuation Analysis (MF-DFA) of Stock Market Indexes. Empirical Evidence from Seven Central and Eastern European Markets , 2020 .

[28]  Robert F. Engle,et al.  The Econometrics of Ultra-High Frequency Data , 1996 .

[29]  K. Domino The use of the Hurst exponent to predict changes in trends on the Warsaw Stock Exchange , 2011 .

[30]  H. Stanley,et al.  Multifractal properties of price fluctuations of stocks and commodities , 2003, cond-mat/0308012.

[31]  H. Stanley,et al.  Multifractal Detrended Fluctuation Analysis of Nonstationary Time Series , 2002, physics/0202070.

[32]  Yu Wei,et al.  Forecasting volatility of SSEC in Chinese stock market using multifractal analysis , 2008 .

[33]  Yu Wei,et al.  Cross-correlations between Chinese A-share and B-share markets , 2010 .

[34]  Ł. Machura,et al.  Multifractal Properties of BK Channel Currents in Human Glioblastoma Cells , 2020, The journal of physical chemistry. B.

[35]  Zoran Bubas,et al.  Efficient market hypothesis: is the Croatian stock market as (in)efficient as the U.S. market , 2011 .

[36]  Gabjin Oh,et al.  Long-term memory and volatility clustering in high-frequency price changes , 2008 .

[37]  Ladislav Kristoufek,et al.  Fractal Markets Hypothesis and the Global Financial Crisis: Scaling, Investment Horizons and Liquidity , 2012, Adv. Complex Syst..

[38]  Mansur Masih,et al.  An analysis of stock market efficiency: Developed vs Islamic stock markets using MF-DFA , 2014 .

[39]  Jeffrey R. Russell,et al.  Autoregressive Conditional Duration: A New Model for Irregularly Spaced Transaction Data , 1998 .

[40]  Espen A. F. Ihlen,et al.  Introduction to Multifractal Detrended Fluctuation Analysis in Matlab , 2012, Front. Physio..

[41]  Syed Aun R. Rizvi,et al.  UNDERSTANDING ASIAN EMERGING STOCK MARKETS , 2019, Buletin Ekonomi Moneter dan Perbankan.

[42]  A. Todea,et al.  The Informational Efficiency of the Romanian Stock Market: Evidence from Fractal Analysis☆ , 2012 .

[43]  E. Fama EFFICIENT CAPITAL MARKETS: A REVIEW OF THEORY AND EMPIRICAL WORK* , 1970 .

[44]  Jose Alvarez-Ramirez,et al.  Short-term predictability of crude oil markets: A detrended fluctuation analysis approach , 2008 .

[45]  P. Ferreira Long-range dependencies of Eastern European stock markets: A dynamic detrended analysis , 2018, Physica A: Statistical Mechanics and its Applications.

[46]  T. D. Matteo,et al.  Long-term memories of developed and emerging markets: Using the scaling analysis to characterize their stage of development , 2004, cond-mat/0403681.

[47]  Vicsek,et al.  Multifractality of self-affine fractals. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[48]  B. Podobnik,et al.  Does the Efficient Market Hypothesis Hold?: Evidence from Six Transition Economies , 2005 .

[49]  Victor Dragota,et al.  Market efficiency of the Post Communist East European stock markets , 2014, Central Eur. J. Oper. Res..

[50]  P. Norouzzadeh A multifractal detrended fluctuation description of Iranian rial–US dollar exchange rate , 2005 .

[51]  Sérgio Lagoa,et al.  The impact of the 2008 and 2010 financial crises on the Hurst exponents of international stock markets: Implications for efficiency and contagion , 2014 .

[52]  H. Stanley,et al.  Detrended cross-correlation analysis: a new method for analyzing two nonstationary time series. , 2007, Physical review letters.

[53]  Mansur Masih,et al.  What factors explain stock market retardation in Islamic Countries , 2014 .

[54]  Multifractal Characterization of Seismic Activity in the Provinces of Esmeraldas and Manabí, Ecuador , 2019, Proceedings.

[55]  B. LeBaron,et al.  A test for independence based on the correlation dimension , 1996 .

[56]  D. Sornette,et al.  Multifractal analysis of financial markets: a review. , 2018, Reports on progress in physics. Physical Society.

[57]  Juan Evangelista Trinidad Segovia,et al.  Extending the Fama and French model with a long term memory factor , 2019, Eur. J. Oper. Res..

[58]  Chongfeng Wu,et al.  Forecasting volatility in Shanghai and Shenzhen markets based on multifractal analysis , 2011 .

[59]  B. M. Tabak,et al.  Are the crude oil markets becoming weakly efficient over time? A test for time-varying long-range dependence in prices and volatility☆ , 2007 .

[60]  M. Selvam,et al.  The Stock Market Efficiency of Emerging Markets: Evidence from Asian Region , 2014 .

[61]  C. Peng,et al.  Mosaic organization of DNA nucleotides. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[62]  Alejandra Figliola,et al.  A multifractal approach for stock market inefficiency , 2008 .

[63]  Andrzej Kulig,et al.  Quantifying origin and character of long-range correlations in narrative texts , 2014, Inf. Sci..

[64]  E. Prescott,et al.  Postwar U.S. Business Cycles: An Empirical Investigation , 1997 .

[65]  Qiuwen Zhang,et al.  A Modified Multifractal Detrended Fluctuation Analysis (MFDFA) Approach for Multifractal Analysis of Precipitation in Dongting Lake Basin, China , 2019, Water.

[66]  Petre Caraiani,et al.  Evidence of Multifractality from Emerging European Stock Markets , 2012, PloS one.

[67]  M. Nurunnabi TESTING WEAK-FORM EFFICIENCY OF EMERGING ECONOMIES: A CRITICAL REVIEW OF LITERATURE , 2012 .

[68]  D. Grech,et al.  The local Hurst exponent of the financial time series in the vicinity of crashes on the Polish stock exchange market , 2008 .

[69]  Mansour Khalili Araghi,et al.  Evaluation of the adaptive market hypothesis as an evolutionary perspective on market efficiency: Evidence from the Tehran stock exchange , 2014 .

[70]  Comparative Multifractal Detrended Fluctuation Analysis of Heavy Ion Interactions at a Few GeV to a Few Hundred GeV , 2016, 1603.04663.

[71]  Wahbeeah Mohti,et al.  Evidence of Intraday Multifractality in European Stock Markets during the Recent Coronavirus (COVID-19) Outbreak , 2020, International Journal of Financial Studies.

[72]  Mikhail Kanevski,et al.  Multifractal analysis of the time series of daily means of wind speed in complex regions , 2017, 1710.01490.

[73]  Peter Herman,et al.  Decomposing Multifractal Crossovers , 2017, Front. Physiol..