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Day-of-the-week and month-of-the-year effects on French Small-Cap Volatility: the role of asymmetry and long memory

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  • Mohamed CHIKHI

    (University of Ouargla, Algeria)

  • Ali BENDOB

    (University of Ain Temouchent, Algeria)

  • Ahmed Ramzi SIAGH

    (University of Ouargla, Algeria)

Abstract

Small-cap stocks are characterized by high volatility and offer investors the opportunity to earn higher returns. This paper empirically investigates the impact of the day-of-the-week and the month-of-the year effects on the volatility of daily and monthly CAC SMALL returns in Paris stock market during the period from 1999 to 2015. We propose the SEMIFARMA-SD-GJR-GARCH model, which incorporates stochastic trend, deterministic nonparametric trend, short-range, long-range dependence and seasonal dummy asymmetric GARCH errors. The main findings of this study are that the coefficients of the SEMIFARMA-SD-GJR-GARCH model including the long memory coefficient in the mean equation and the seasonal asymmetry in the variance equation are highly significant and the GJR-GARCH model without seasonal dummies is dominated by the GJR-GARCH model with seasonal dummies (SD-GJR-GARCH). The results indicate that the day-of-the-week and the month-of-the-year effects detected on volatility seem to improve the volatility forecasts. These results support the arbitrage opportunity hypothesis for realizing abnormal returns, and support the inefficiency of CAC small capital market.

Suggested Citation

  • Mohamed CHIKHI & Ali BENDOB & Ahmed Ramzi SIAGH, 2019. "Day-of-the-week and month-of-the-year effects on French Small-Cap Volatility: the role of asymmetry and long memory," Eastern Journal of European Studies, Centre for European Studies, Alexandru Ioan Cuza University, vol. 10, pages 221-248, December.
    • Handle: RePEc:jes:journl:y:2019:v:10:p:221-248
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    as
    1. Campbell, John Y. & Hentschel, Ludger, 1992. "No news is good news *1: An asymmetric model of changing volatility in stock returns," Journal of Financial Economics, Elsevier, vol. 31(3), pages 281-318, June.
    2. Mehmet Dicle & John Levendis, 2014. "The day-of-the-week effect revisited: international evidence," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 38(3), pages 407-437, July.
    3. Baillie, Richard T. & DeGennaro, Ramon P., 1990. "Stock Returns and Volatility," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 25(2), pages 203-214, June.
    4. Schwert, G. William, 2003. "Anomalies and market efficiency," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 15, pages 939-974, Elsevier.
    5. Robinson, P.M. & Henry, M., 1999. "Long And Short Memory Conditional Heteroskedasticity In Estimating The Memory Parameter Of Levels," Econometric Theory, Cambridge University Press, vol. 15(3), pages 299-336, June.
    6. Teräsvirta, Timo, 1996. "Modelling Economic Relationships with Smooth Transition Regressions," SSE/EFI Working Paper Series in Economics and Finance 131, Stockholm School of Economics.
    7. Elliott, Graham & Rothenberg, Thomas J & Stock, James H, 1996. "Efficient Tests for an Autoregressive Unit Root," Econometrica, Econometric Society, vol. 64(4), pages 813-836, July.
    8. Ke Yang & Langnan Chen, 2014. "Realized Volatility Forecast: Structural Breaks, Long Memory, Asymmetry, and Day-of-the-Week Effect," International Review of Finance, International Review of Finance Ltd., vol. 14(3), pages 345-392, September.
    9. Kwan, Wilson & Li, Wai Keung & Li, Guodong, 2012. "On the estimation and diagnostic checking of the ARFIMA–HYGARCH model," Computational Statistics & Data Analysis, Elsevier, vol. 56(11), pages 3632-3644.
    10. Georgios Bampinas & Stilianos Fountas & Theodore Panagiotidis, 2015. "The Day-of-the-Week Effect is Weak: Evidence from the European Real Estate Sector," Working Paper series 15-19, Rimini Centre for Economic Analysis.
    11. Rogalski, Richard J, 1984. "New Findings Regarding Day-of-the-Week Returns over Trading and Non-trading Periods: A Note," Journal of Finance, American Finance Association, vol. 39(5), pages 1603-1614, December.
    12. Hsieh, David A, 1989. "Testing for Nonlinear Dependence in Daily Foreign Exchange Rates," The Journal of Business, University of Chicago Press, vol. 62(3), pages 339-368, July.
    13. Glosten, Lawrence R & Jagannathan, Ravi & Runkle, David E, 1993. "On the Relation between the Expected Value and the Volatility of the Nominal Excess Return on Stocks," Journal of Finance, American Finance Association, vol. 48(5), pages 1779-1801, December.
    14. Hall, Peter & Hart, Jeffrey D., 1990. "Nonparametric regression with long-range dependence," Stochastic Processes and their Applications, Elsevier, vol. 36(2), pages 339-351, December.
    15. Nabeel Al-Loughani & David Chappell, 2001. "Modelling the day-of-the-week effect in the Kuwait Stock Exchange: a nonlinear GARCH representation," Applied Financial Economics, Taylor & Francis Journals, vol. 11(4), pages 353-359.
    16. Pagan, Adrian, 1996. "The econometrics of financial markets," Journal of Empirical Finance, Elsevier, vol. 3(1), pages 15-102, May.
    17. Syed Basher & Perry Sadorsky, 2006. "Day-of-the-week effects in emerging stock markets," Applied Economics Letters, Taylor & Francis Journals, vol. 13(10), pages 621-628.
    18. Feng, Yuanhua & Beran, Jan & Yu, Keming, 2006. "Modelling financial time series with SEMIFAR-GARCH model," MPRA Paper 1593, University Library of Munich, Germany.
    19. Davidson, James, 2004. "Moment and Memory Properties of Linear Conditional Heteroscedasticity Models, and a New Model," Journal of Business & Economic Statistics, American Statistical Association, vol. 22(1), pages 16-29, January.
    20. Thaler, Richard H, 1987. "Seasonal Movements in Security Prices II: Weekend, Holiday, Turn of the Month, and Intraday Effects," Journal of Economic Perspectives, American Economic Association, vol. 1(2), pages 169-177, Fall.
    21. Lux, Thomas & Morales-Arias, Leonardo, 2010. "Forecasting volatility under fractality, regime-switching, long memory and student-t innovations," Computational Statistics & Data Analysis, Elsevier, vol. 54(11), pages 2676-2692, November.
    22. Bollerslev, Tim & Chou, Ray Y. & Kroner, Kenneth F., 1992. "ARCH modeling in finance : A review of the theory and empirical evidence," Journal of Econometrics, Elsevier, vol. 52(1-2), pages 5-59.
    23. Murat Akbalik & Nasif Ozkan, 2017. "Day of the Week Effect in the Stock Markets of Fragile Five Countries After 2008 Global Financial Crisis," Contributions to Economics, in: Ümit Hacioğlu & Hasan Dinçer (ed.), Global Financial Crisis and Its Ramifications on Capital Markets, pages 507-518, Springer.
    24. John Geweke & Susan Porter‐Hudak, 1983. "The Estimation And Application Of Long Memory Time Series Models," Journal of Time Series Analysis, Wiley Blackwell, vol. 4(4), pages 221-238, July.
    25. Zhang, Jilin & Lai, Yongzeng & Lin, Jianghong, 2017. "The day-of-the-Week effects of stock markets in different countries," Finance Research Letters, Elsevier, vol. 20(C), pages 47-62.
    26. Nelson, Daniel B, 1991. "Conditional Heteroskedasticity in Asset Returns: A New Approach," Econometrica, Econometric Society, vol. 59(2), pages 347-370, March.
    27. Paul H. Kupiec, 1995. "Techniques for verifying the accuracy of risk measurement models," Finance and Economics Discussion Series 95-24, Board of Governors of the Federal Reserve System (U.S.).
    28. Boubaker, Sabri & Essaddam, Naceur & Nguyen, Duc Khuong & Saadi, Samir, 2017. "On the robustness of week-day effect to error distributional assumption: International evidence," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 47(C), pages 114-130.
    29. Diebold, Francis X & Mariano, Roberto S, 2002. "Comparing Predictive Accuracy," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 134-144, January.
    30. James Mark Gbeda & James Atta Peprah, 2018. "Day of the week effect and stock market volatility in Ghana and Nairobi stock exchanges," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 42(4), pages 727-745, October.
    31. Kostyantyn MALYSHENKO & Vadim MALYSHENKO & Elena Yu. PONOMAREVA & Marina ANASHKINA, 2019. "Analysis of the stock market anomalies in the context of changing the information paradigm," Eastern Journal of European Studies, Centre for European Studies, Alexandru Ioan Cuza University, vol. 10, pages 239-270, June.
    32. French, Kenneth R., 1980. "Stock returns and the weekend effect," Journal of Financial Economics, Elsevier, vol. 8(1), pages 55-69, March.
    33. Sidney B. Wachtel, 1942. "Certain Observations on Seasonal Movements in Stock Prices," The Journal of Business, University of Chicago Press, vol. 15, pages 184-184.
    34. Hakan Berument & Halil Kiymaz, 2001. "The day of the week effect on stock market volatility," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 25(2), pages 181-193, June.
    35. Bierens, Herman J., 1997. "Testing the unit root with drift hypothesis against nonlinear trend stationarity, with an application to the US price level and interest rate," Journal of Econometrics, Elsevier, vol. 81(1), pages 29-64, November.
    36. Ariel, Robert A., 1987. "A monthly effect in stock returns," Journal of Financial Economics, Elsevier, vol. 18(1), pages 161-174, March.
    37. Brajesh Kumar & Singh, Priyanka, 2008. "Volatility Modeling, Seasonality and Risk-Return Relationship in GARCH-in-Mean Framework: The Case of Indian Stock and Commodity Markets," IIMA Working Papers WP2008-04-04, Indian Institute of Management Ahmedabad, Research and Publication Department.
    38. Akgiray, Vedat, 1989. "Conditional Heteroscedasticity in Time Series of Stock Returns: Evidence and Forecasts," The Journal of Business, University of Chicago Press, vol. 62(1), pages 55-80, January.
    39. Gibbons, Michael R & Hess, Patrick, 1981. "Day of the Week Effects and Asset Returns," The Journal of Business, University of Chicago Press, vol. 54(4), pages 579-596, October.
    40. Engle, Robert F & Lilien, David M & Robins, Russell P, 1987. "Estimating Time Varying Risk Premia in the Term Structure: The Arch-M Model," Econometrica, Econometric Society, vol. 55(2), pages 391-407, March.
    41. Breitung, Jorg, 2002. "Nonparametric tests for unit roots and cointegration," Journal of Econometrics, Elsevier, vol. 108(2), pages 343-363, June.
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