VOLATILITY AND RISK ANALYSIS OF SELECTED COMPANIES IN NIGERIAN STOCK EXCHANGE

  • JOSEPHINE NNEAMAKA ONYEKA-UBAKA DEPARTMENT OF STATISTICS, UNIVERSITY OF LAGOS, AKOKA, LAGOS STATE, NIGERIA.
  • KINGSLEY CHIMEZIE OHANMO DEPARTMENT OF STATISTICS, UNIVERSITY OF LAGOS, AKOKA, LAGOS STATE, NIGERIA.
Keywords: Stock returns, Volatility, GARCH Models, Modelling, Forecasting

Abstract

The study introduces GARCH family models in modelling stock returns volatility on investor’s decision-making and risk management in the Nigerian Stock Exchange market. Data (Dangote Cement PLC, Nigerian Flourmill, Guinness PLC, Nestle PLC and Unilever PLC) are sourced from ng.invest.com. The parameters of ARCH and GARCH models are estimated by maximum likelihood estimation method while the Lagrange Multiplier (LM) test is proposed testing heteroskedasticity. The results show that the data obtained within the sample period exhibit non-normality and no presence of autocorrelation in the squared standardized residuals. The FIGARCH model estimates the daily return series of Dangote Cement PLC, Nigerian Flourmill, Nestle PLC and Unilever PLC while the TGARCH model is more suitable for the Guinness PLC within the sampled period based on our diagnostic checks (Akaike Information Criterion (AIC) and the Bayesian Information Criterion (BIC)). These findings are significant as they provide stakeholders with a deeper understanding of the patterns in the series, the leverage effect and make informed decisions on how to manage the associated risks. It is also important to note that the government's intervention in supporting struggling companies through policy creation is crucial, especially during periods of reduced returns and high inflation.

References

[1] O. J. Ikhatua (2013). Accounting information and stock volatility in the Nigerian Capital Market: A GARCH analysis approach. Int. Rev. of Mgt. and Bus. Res. 2(1) 265.
[2] M. Rajni, & R. Mahendra (2007). Measuring Stock Market Volatility in an Emerging Economy. Int. Res. J. of Fin. and Econ. 8, pp. 126-133.
[3] R. Gupta, & M. P. Modise (2013). Macroeconomic variables and South African stock return predictability. Econ. modelling, 30, pp. 612-622.
[4] D. Valenti, G. Fazio, & B. Spagnolo (2018). Stabilizing the effect of volatility in financial markets. Phy. Rev., 97(6), pp. 62-87.
[5] J. N. Onyeka-Ubaka, & O. Abass (2023). The Estimation of Heavy Tails in Non-linear Models. Tanzania J. of Sci. 49(2), pp. 332-343.
[6] B. Mandelbrot (1963). The Variation of Certain Speculative Prices, J. of Bus. 36, pp. 394–419.
[7] K. Kim, & J.W. Song (2020). Analyses on volatility clustering in financial time-series using clustering indices, asymmetry, and visibility graph. IEEE Access, 8, pp. 208779-208795.
[8] R. F. Engle, & V. K. Ng (1993). Measuring and Testing the Impact of News on Volatility, J. of Fin. 48(1), pp. 1749-1778.
[9] R. J. Shiller (2000). Irrational Exuberance. Princeton: Princeton University Press.
[10] P. Veronesi (1999). Stock Market Overreaction to Bad News in Good Times: A Rational Expectations Equilibrium Model, Rev. of Fin. Stud. 12, pp. 975-1007.
[11] A. K. Bera, & M. L. Higgins (1993). ARCH models: properties, estimation and testing. J. of Econ. Surveys, 7(4), pp. 305-366.
[12] R. Roll (1984). A Simple Implicit Measure of the Effective Bid-Ask Spread in an Efficient Market. J. of Fin. 39(4), pp. 1127-1139.
[13] N. Hamzaoui, & B. Regaieg (2016). The Glosten-Jagannathan Runkle-Generalized Autoregressive Conditional Heteroskedastic Approach to Investigating the Foreign Exchange Premium Volatility. Int. J. of Econ. and Fin. Issues. 6(4), pp. 1608-1615.
[14] J. N. Onyeka-Ubaka, R. O. Okafor (2017). Applications of Long-memory Stochastic Volatility Models. J. of the Nigerian Asso. of Math. Phy. 43 (Sept and Nov. 2017), pp. 155-168.
[15] B. Klar, F. Lindner, & S. G. Meintanis (2012). Specification tests for the error distribution in GARCH models. Comp. Stat. and Data Analy. 56(11), pp. 3587-3598.
[16] R. F. Engle (1982). Autoregressive conditional heteroskedasticity with estimates of the variance of United Kingdom Inflation, Econometrica, 50, pp. 987-1008.
[17] T. Bollerslev (1986). Generalized Autoregressive Conditional Heteroscedasticity, J. of Econometrics, 31, pp. 307-328.
[18] E. Fama (1965). The Behaviour of Stock Market Prices, J. of Bus., 38, pp. 34-105.
[19] G. E. P. Box, G. M. Jenkins, & G. C. Reinsel (1984). Time Series Analysis, Forecasting and Control, Prentice-Hall, Englewood Cliffs.
[20] R. A. Olowe (2009). Stock return, volatility and the global financial crisis in an emerging market: The Nigerian case. Int. Rev. of Bus. Res. Papers, 5(4), pp. 426-447.
[21] D. B. Nelson (1991). Conditional heteroskedasticity in asset returns: A new approach, Econometrica. 59, pp. 347–370.
[22] M. Tayefi, & T. V. Ramanathan (2012). An overview of FIGARCH and related time series models. Austrian J. of Stat. 41(3), pp. 175-196.
[23] H. Malmsten, & T. Teräsvirta (2004). Stylized facts of financial times series and three popular models of volatility. SSE/EFI Working Paper Series in Economics and Finance 563, Stockholm School of Economics.
[24] R. T. Baillie, T. Bollerslev, & H. O. Mikkelsen (1996). Long Memory Processes and Fractional Integration in Econometrics. J. of Econometrics. 73(1), pp. 5-59.
[25] W. Mensi, K. H. Al-Yahyaee, & S. H. Kang. Structural breaks and double long memory of cryptocurrency prices: A comparative analysis from Bitcoin and Ethereum. Fin. Res. Letters, 29, pp. 222-230.
[26] P. A. Abken, & S. Nandi (1996). Options and volatility. Econ. Rev. 81(3-6), pp. 21.
[27] J. M. Zakoian (1994). Threshold Heteroscedastic Models. J. of Econ. Dynamics and Control. 18, pp. 931–955.
[28] H. Dallah, & I. Ade. Modelling and Forecasting the Volatility of the Daily Returns of Nigerian Insurance Stocks. Int. Bus. Res. 3(2), pp. 106-116.
[29] L. Glosten, R. Jagannathan, & D. Runkle (1993). On the Relation between the Expected Value and the Volatility of the Nominal Excess Return on Stocks. The J. of Fin. 48(5), pp. 1779-1801.
[30] Ding, Zhuanxin, W. J. Clive, Granger, & R.F. Engle (1993). A long memory property of stock market returns and a new model, J. of E. Fin. 1, pp. 83-106.
[31] S. J. Taylor (2005). Financial returns modelled by the product of two stochastic processes - a study of daily sugar prices 1961 -79 (reprinted as pages 60-82 in Shephard, 2005).
[32] G. W. Schwert (1989). Why does market volatility change over time? J. of Fin. 44, pp. 1115-1153.
[33] C. M. Lim, & S. K. Sek (2013). Comparing the performances of GARCH-type models in capturing the stock market volatility in Malaysia. Procedia Economics and Finance, 5, pp. 478-487.
Published
2025-06-24
How to Cite
ONYEKA-UBAKA, J. N., & OHANMO, K. C. (2025). VOLATILITY AND RISK ANALYSIS OF SELECTED COMPANIES IN NIGERIAN STOCK EXCHANGE. Unilag Journal of Mathematics and Applications, 4(2), 17-39. Retrieved from https://lagjma.unilag.edu.ng/article/view/2627