IDEAS home Printed from https://ideas.repec.org/a/ana/journl/v5y2019i1p1-23.html
   My bibliography  Save this article

Wavelet Leader and Multifractal Detrended Fluctuation Analysis of Market Efficiency: Evidence from WAEMU Market Index

Author

Listed:
  • Oumou Kalsoum Diallo

    (Laboratory of Mathematics of the Decision and Numerical Analysis, Cheikh Anta Diop University)

  • Pierre Mendy

    (Laboratory of Mathematics of the Decision and Numerical Analysis, Cheikh Anta Diop University)

Abstract

Efficient markets hypothesis (EMH) has been a hot topic since its introduction in the 1960s. This problematic is a current topic and has been the subject of many studies with different methods. This paper examines the weak-form efficiency of the WAEMU stock exchange from 11/04/2008 to 23/08/2016. We combined the wavelets approaches and multifractal detrended fluctuation analysis (MF-DFA) to analyse the efficient market hypothesis of the BRVM10 index of the WAEMU regional stock change. Our findings show that the log return of BRVM10 index exhibits a persistent and multifractal process.

Suggested Citation

  • Oumou Kalsoum Diallo & Pierre Mendy, 2019. "Wavelet Leader and Multifractal Detrended Fluctuation Analysis of Market Efficiency: Evidence from WAEMU Market Index," World Journal of Applied Economics, WERI-World Economic Research Institute, vol. 5(1), pages 1-23, June.
  • Handle: RePEc:ana:journl:v:5:y:2019:i:1:p:1-23
    DOI: 10.22440/wjae.5.1.1
    as

    Download full text from publisher

    File URL: https://journal.econworld.org/index.php/econworld/article/view/110/38
    Download Restriction: no

    File URL: https://libkey.io/10.22440/wjae.5.1.1?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Myung Jig Kim & Charles R. Nelson & Richard Startz, 1991. "Mean Reversion in Stock Prices? A Reappraisal of the Empirical Evidence," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(3), pages 515-528.
    2. Summers, Lawrence H, 1986. "Does the Stock Market Rationally Reflect Fundamental Values?," Journal of Finance, American Finance Association, vol. 41(3), pages 591-601, July.
    3. Sharma, J. L. & Kennedy, Robert E., 1977. "A Comparative Analysis of Stock Price Behavior on the Bombay, London, and New York Stock Exchanges," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(3), pages 391-413, September.
    4. Rui Pascoal & Ana Margarida Monteiro, 2013. "Market Efficiency, Roughness and Long Memory in the PSI20 Index Returns: Wavelet and Entropy Analysis," GEMF Working Papers 2013-27, GEMF, Faculty of Economics, University of Coimbra.
    5. Lahmiri, Salim, 2017. "Multifractal analysis of Moroccan family business stock returns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 183-191.
    6. Andrew W. Lo, A. Craig MacKinlay, 1988. "Stock Market Prices do not Follow Random Walks: Evidence from a Simple Specification Test," The Review of Financial Studies, Society for Financial Studies, vol. 1(1), pages 41-66.
    7. Roland Gillet & Ariane Szafarz & Bruno Colmant, 2003. "Efficience des marchés: concepts, bulles spéculatives et image comptable," Post-Print hal-03934661, HAL.
    8. Roland Gillet & Ariane Szafarz, 2004. "L'efficience informationnelle des marchés: une hypothèse, et au-delà ?," Working Papers CEB 04-004.RS, ULB -- Universite Libre de Bruxelles.
    9. Ikeda, Taro, 2018. "Multifractal structures for the Russian stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 2123-2128.
    10. M. F. M. Osborne, 1959. "Brownian Motion in the Stock Market," Operations Research, INFORMS, vol. 7(2), pages 145-173, April.
    11. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    12. De Bondt, Werner F M & Thaler, Richard, 1985. "Does the Stock Market Overreact?," Journal of Finance, American Finance Association, vol. 40(3), pages 793-805, July.
    13. French, Kenneth R. & Roll, Richard, 1986. "Stock return variances : The arrival of information and the reaction of traders," Journal of Financial Economics, Elsevier, vol. 17(1), pages 5-26, September.
    14. Kwiatkowski, Denis & Phillips, Peter C. B. & Schmidt, Peter & Shin, Yongcheol, 1992. "Testing the null hypothesis of stationarity against the alternative of a unit root : How sure are we that economic time series have a unit root?," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 159-178.
    15. René M. Stulz, 1999. "Golbalization, Corporate Finance, And The Cost Of Capital," Journal of Applied Corporate Finance, Morgan Stanley, vol. 12(3), pages 8-25, September.
    16. Tiwari, Aviral Kumar & Albulescu, Claudiu Tiberiu & Yoon, Seong-Min, 2017. "A multifractal detrended fluctuation analysis of financial market efficiency: Comparison using Dow Jones sector ETF indices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 483(C), pages 182-192.
    17. Chowdhury, Abdur R., 1994. "Stock market interdependencies: Evidence from the asian NIEs," Journal of Macroeconomics, Elsevier, vol. 16(4), pages 629-651.
    18. Anoop S. KUMAR & B. KAMAIAH, 2014. "Wavelet based sample entropy analysis: A new method to test weak form market efficiency," Theoretical and Applied Economics, Asociatia Generala a Economistilor din Romania - AGER, vol. 0(8(597)), pages 17-24, August.
    19. Suárez-García, Pablo & Gómez-Ullate, David, 2014. "Multifractality and long memory of a financial index," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 394(C), pages 226-234.
    20. Fama, Eugene F, 1970. "Efficient Capital Markets: A Review of Theory and Empirical Work," Journal of Finance, American Finance Association, vol. 25(2), pages 383-417, May.
    21. Claessens, Stijn & Demirguc-Kunt, Asl[iota] & Huizinga, Harry, 2001. "How does foreign entry affect domestic banking markets?," Journal of Banking & Finance, Elsevier, vol. 25(5), pages 891-911, May.
    22. Schumann, Aicko Y. & Kantelhardt, Jan W., 2011. "Multifractal moving average analysis and test of multifractal model with tuned correlations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(14), pages 2637-2654.
    23. Jorge L. Urrutia, 1995. "Tests Of Random Walk And Market Efficiency For Latin American Emerging Equity Markets," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 18(3), pages 299-309, September.
    24. Hyun-Jung Ryoo & Graham Smith, 2002. "Korean stock prices under price limits: variance ratio tests of random walks," Applied Financial Economics, Taylor & Francis Journals, vol. 12(8), pages 545-553.
    25. Hakkio, Craig S. & Rush, Mark, 1989. "Market efficiency and cointegration: an application to the sterling and deutschemark exchange markets," Journal of International Money and Finance, Elsevier, vol. 8(1), pages 75-88, March.
    26. Maria Borges, 2007. "Underpricing of Initial Public Offerings: The Case of Portugal," International Advances in Economic Research, Springer;International Atlantic Economic Society, vol. 13(1), pages 65-80, February.
    27. repec:agr:journl:v:8(597):y:2014:i:8(597):p:17-24 is not listed on IDEAS
    28. Benoit Mandelbrot, 2015. "The Variation of Certain Speculative Prices," World Scientific Book Chapters, in: Anastasios G Malliaris & William T Ziemba (ed.), THE WORLD SCIENTIFIC HANDBOOK OF FUTURES MARKETS, chapter 3, pages 39-78, World Scientific Publishing Co. Pte. Ltd..
    29. Kantelhardt, Jan W. & Zschiegner, Stephan A. & Koscielny-Bunde, Eva & Havlin, Shlomo & Bunde, Armin & Stanley, H.Eugene, 2002. "Multifractal detrended fluctuation analysis of nonstationary time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 316(1), pages 87-114.
    30. Wang, Yudong & Liu, Li & Gu, Rongbao, 2009. "Analysis of efficiency for Shenzhen stock market based on multifractal detrended fluctuation analysis," International Review of Financial Analysis, Elsevier, vol. 18(5), pages 271-276, December.
    31. Poterba, James M. & Summers, Lawrence H., 1988. "Mean reversion in stock prices : Evidence and Implications," Journal of Financial Economics, Elsevier, vol. 22(1), pages 27-59, October.
    32. Kuo-Ping Chang & Kuo-Shiuan Ting, 2000. "A variance ratio test of the random walk hypothesis for Taiwan's stock market," Applied Financial Economics, Taylor & Francis Journals, vol. 10(5), pages 525-532.
    33. Yuan, Ying & Zhuang, Xin-tian & Jin, Xiu, 2009. "Measuring multifractality of stock price fluctuation using multifractal detrended fluctuation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(11), pages 2189-2197.
    34. LeRoy, Stephen F, 1973. "Risk Aversion and the Martingale Property of Stock Prices," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(2), pages 436-446, June.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ashok Chanabasangouda Patil & Shailesh Rastogi, 2019. "Time-Varying Price–Volume Relationship and Adaptive Market Efficiency: A Survey of the Empirical Literature," JRFM, MDPI, vol. 12(2), pages 1-18, June.
    2. Tim Bollerslev & Robert J. Hodrick, 1992. "Financial Market Efficiency Tests," NBER Working Papers 4108, National Bureau of Economic Research, Inc.
    3. Committee, Nobel Prize, 2013. "Understanding Asset Prices," Nobel Prize in Economics documents 2013-1, Nobel Prize Committee.
    4. Felix Schindler, 2014. "Persistence and Predictability in UK House Price Movements," The Journal of Real Estate Finance and Economics, Springer, vol. 48(1), pages 132-163, January.
    5. Felix Schindler, 2013. "Predictability and Persistence of the Price Movements of the S&P/Case-Shiller House Price Indices," The Journal of Real Estate Finance and Economics, Springer, vol. 46(1), pages 44-90, January.
    6. Mamdouh Abdulaziz Saleh Al-Faryan & Everton Dockery, 2021. "Testing for efficiency in the Saudi stock market: does corporate governance change matter?," Review of Quantitative Finance and Accounting, Springer, vol. 57(1), pages 61-90, July.
    7. Fernando Rubio, 2005. "Eficiencia De Mercado, Administracion De Carteras De Fondos Y Behavioural Finance," Finance 0503028, University Library of Munich, Germany, revised 23 Jul 2005.
    8. Caporale, Guglielmo Maria & Gil-Alana, Luis A., 2002. "Fractional integration and mean reversion in stock prices," The Quarterly Review of Economics and Finance, Elsevier, vol. 42(3), pages 599-609.
    9. Lars Tegtmeier, 2021. "Testing the Efficiency of Globally Listed Private Equity Markets," JRFM, MDPI, vol. 14(7), pages 1-16, July.
    10. Hiremath, Gourishankar S & Bandi, Kamaiah, 2010. "Some Further Evidence on the Behaviour of Stock Returns in India," MPRA Paper 48518, University Library of Munich, Germany.
    11. Barnett, William A. & Serletis, Apostolos & Serletis, Demitre, 2015. "Nonlinear And Complex Dynamics In Economics," Macroeconomic Dynamics, Cambridge University Press, vol. 19(8), pages 1749-1779, December.
    12. Estrada, Javier, 1997. "Random walks and the temporal dimension of risk," DEE - Working Papers. Business Economics. WB 7040, Universidad Carlos III de Madrid. Departamento de Economía de la Empresa.
    13. José Carlos Dias & Luís Lopes & Vitor Martins & José Manuel Benzinho, 2004. "Efficiency tests in the Iberian stock markets," Finance 0406001, University Library of Munich, Germany.
    14. Erdos, Péter & Ormos, Mihály, 2010. "Random walk theory and the weak-form efficiency of the US art auction prices," Journal of Banking & Finance, Elsevier, vol. 34(5), pages 1062-1076, May.
    15. Bley, Jorg, 2011. "Are GCC stock markets predictable?," Emerging Markets Review, Elsevier, vol. 12(3), pages 217-237, September.
    16. Juncal Cunado & Luis A. Gil-Alana & Fernando Pérez de Gracia, 2002. "Is the US Fiscal Deficit Sustainable? A Fractionally Integrated and Cointegrated Approach," Faculty Working Papers 02/02, School of Economics and Business Administration, University of Navarra.
    17. Müge Özdemir, 2022. "Analyzing the Efficient Market Hypothesis with the Structural Break and Nonlinear Unit Root Tests: An Application on Borsa Istanbul," EKOIST Journal of Econometrics and Statistics, Istanbul University, Faculty of Economics, vol. 0(37), pages 257-282, December.
    18. Rico Belda, Paz, 2013. "No linealidad y asimetría en el proceso generador del Índice Ibex35/Nonlinearity and Asymmetry in the Generator Process of Ibex35 Index," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 31, pages 555-576, Septiembr.
    19. Leopoldo S'anchez-Cant'u & Carlos Arturo Soto-Campos & Andriy Kryvko, 2016. "Evidence of Self-Organization in Time Series of Capital Markets," Papers 1604.03996, arXiv.org, revised Mar 2017.
    20. Ichkitidze, Yuri, 2018. "Temporary price trends in the stock market with rational agents," The Quarterly Review of Economics and Finance, Elsevier, vol. 68(C), pages 103-117.

    More about this item

    Keywords

    Efficient market hypothesis; Wavelet; MF-DFA; BVRM10; Hurst exponent; Wavelet leaders;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C40 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - General
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ana:journl:v:5:y:2019:i:1:p:1-23. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Unal Tongur (email available below). General contact details of provider: https://edirc.repec.org/data/ewanatr.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.