Abstract
This paper examines persistence in the Ukrainian stock market during the recent financial crisis. Using two different long memory approaches (R/S analysis and fractional integration) we show that this market is inefficient and the degree of persistence is not the same at different stages of the financial crisis. Therefore trading strategies might have to be modified. We also show that data smoothing is not advisable in the context of R/S analysis.
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Notes
When choosing the bandwidth one faces a trade-off between bias and variance: the asymptotic variance is decreasing whilst the bias is increasing with m.
References
Abadir KM, Distaso W, Giraitis L (2007) Nonstationarity-extended local Whittle estimation. J Econ 141:1353–1384
Alvo M, Firuzan E, Firuzan AR (2011) Predictability of Dow Jones Index via Chaotic Symbolic Dynamics. World Applied Sciences Journal 12(6):835–839
Anoruo E, Gil-Alana LA (2011) Mean reversion and long memory in African stock market prices. J Econ Financ 35(3):296–308
Batten J, Ellis C, Fetherston T (2005) Return Anomalies on the Nikkei: Are They Statistical Illusions? Chaos Solitons Fractals 23(4):1125–1136
Berg L, Lyhagen J (1998) Short and Long Run Dependence in Swedish Stock Returns. Appl Financ Econ 8(4):435–443
Booth GG, Kaen FR, Koveos PE (1982) R/S analysis of foreign exchange rates under two international monetary regimes. J Monet Econ 10(3):407–415
Cajueiro D, Tabak B (2005) Ranking efficiency for emerging equity markets II. Chaos Solitons Fractals 23:671–675
Cheung YW, Lai KS (1993) Do gold market returns have long-range dependence? The Financial Review 28(2):181–202
Corazza M, Malliaris AG (2002) Multifractality in Foreign Currency Markets. Multinational Finance Journal 6:387–401
Crato N, Ray B (2000) Memory in Returns and Volatilities of Commodity Futures’ Contracts. J Futur Mark 20(6):525–543
Crato N (1994) Some international evidence regarding the stochastic memory of stock returns. Appl Financ Econ 4(1):33–39
Dahlhaus R (1989) Efficient parameter estimation for self-similar process. Ann Stat 17:1749–1766
Fox R, Taqqu M (1986) Large sample properties of parameter estimates for strongly dependent stationary Gaussian time series. Ann Stat 14:517–532
Fung HG, Lo WC (1993) Memory in interest rate futures. J Futur Mark 13:865–872
Geweke J, Porter-Hudak S (1983) The estimation and application of long memory time series models. J Time Ser Anal 4:2221–2238
Gil-Alana, L.A. and O. Yaya (2014), The persistence and asymmetric volatility in the Nigerian stock bull and bear markets, Economic Modelling, forthcoming.
Glenn, L. A., 2007, On Randomness and the NASDAQ Composite, Working Paper, Available at SSRN: http://ssrn.com/abstract=1124991.
Grech D, Mazur Z (2004) Can one make any crash prediction in finance using the local Hurst exponent idea? Physica A : Statistical Mechanics and its Applications 336:133–145
Grech D, Pamula G (2008) The local Hurst exponent of the financial time series in the vicinity of crashes on the Polish stock exchange market. Physica A 387(16/17):4299–4308
Greene MT, Fielitz BD (1977) Long-term dependence in common stock returns. J Financ Econ 4:339–349
Helms BP, Kaen FR, Rosenman RE (1984) Memory in commodity futures contracts. J Futur Mark 4:559–567
Hurst H. E., 1951. Long-term Storage of Reservoirs. Transactions of the American Society of Civil Engineers, 799 p.
Hurvich CM, Ray BK (1995) Estimation of the memory parameter for nonstationary or noninvertible fractionally integrated processes. J Time Ser Anal 16:17–41
Jacobsen B (1995) Are Stock Returns Long Term Dependent? Some Empirical Evidence, Journal of International Financial Markets. Institutions and Money 5(2/3):37–52
Künsch H (1986) Discrimination between monotonic trends and long-range dependence. J Appl Probab 23:1025–1030
Lento C (2013) A Synthesis of Technical Analysis and Fractal Geometry - Evidence from the Dow Jones Industrial Average Components. Journal of Technical Analysis 67:25–45
Lo AW (1991) Long-term memory in stock market prices. Econometrica 59:1279–1313
Lobato IN, Velasco C (2007) Efficient Wald tests for fractional unit root. Econometrica 75(2):575–589
Los C (2003) Financial Market Risk: Measurement & Analysis. Taylor & Francis Books Ltd, London, UK, Routledge International Studies in Money and Banking, 460 p
Mandelbrot B (1972) Statistical Methodology For Nonperiodic Cycles: From The Covariance To Rs Analysis. Ann Econ Soc Meas 1:259–290
Matteo TD et al (2005) Long-term memories of developed and emerging markets: Using the scaling analysis to characterize their stage of development. J Bank Financ 29(4):827–851
Niere HM (2013) A Multifractality Measure of Stock Market Efficiency in Asean Region. European Journal of Business and Management 5(22):13–19
Onali E, Goddard J (2011) Are European Equity Markets Efficient? New Evidence from Fractal Analysis. International Review of Financial Analysis 20(2):59–67
Peters EE (1991) Chaos and Order in the Capital Markets: A New View of Cycles, Prices, and Market Volatility. John Wiley and Sons, Inc, NY., p 228
Peters EE (1994) Fractal Market Analysis: Applying Chaos Theory to Investment and Economics. John Wiley & Sons, NY., p 336
Phillips PC, Shimotsu K (2004) Local Whittle estimation in nonstationary and unit root cases. Ann Stat 32:656–692
Phillips PC, Shimotsu K (2005) Exact local Whittle estimation of fractional
Robinson PM (1994) Efficient tests of nonstationary hypotheses. J Am Stat Assoc 89:1420–1437
Robinson PM (1995a) Log-periodogram regression of time series with long range dependence. Ann Stat 23:1048–1072
Robinson PM (1995b) Gaussian semi-parametric estimation of long range dependence. Ann Stat 23:1630–1661
Serletis A, Rosenberg A (2007) The Hurst exponent in energy futures prices. Physica A 380:325–332
Shimotsu K, Phillips PCB (2002) Pooled Log Periodogram Regression. J Time Ser Anal 23:57–93
Sowell F (1992) Maximum likelihood estimation of stationary univariate fractionally integrated time series models. J Econ 53:165–188
Velasco C, Robinson PM (2000) Whittle pseudo maximum likelihood estimation for nonstationary time series. J Am Stat Assoc 95:1229–1243
Velasco C (1999a) Nonstationary log-periodogram regression. J Econ 91:299–323
Velasco C (1999b) Gaussian semiparametric estimation of nonstationary time series. J Time Ser Anal 20:87–127
Velasco C (2000) Non-Gaussian log-periodogram regression. Econometric Theory 16:44–79
Zunino L, Tabak B, Garavaglia M, Rosso O (2009) Multifractal structure in Latin-American market indices. Chaos Solitons Fractals 41(5):2331–2340
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Alex Plastun and Inna Makarenko are grateful to two anonymous referees for their useful comments and suggestions. The second-named author also acknowledges financial support from the Ministry of Education of Spain (ECO2011-2014 ECON Y FINANZAS, Spain).
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Caporale, G.M., Gil-Alana, L., Plastun, A. et al. Long memory in the Ukrainian stock market and financial crises. J Econ Finan 40, 235–257 (2016). https://doi.org/10.1007/s12197-014-9299-x
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DOI: https://doi.org/10.1007/s12197-014-9299-x