Volume 65 | Issue 4 | Year 2019 | Article Id. IJMTT-V65I4P511 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I4P511
ARCH and GARCH models have become important tools in the analysis of time series data, particularly in financial application. These models are especially useful when the goal of the study is to analyse and forecast volatility. This study investigates the volatility in equity prices of insurance stocks traded on the floor of the Nigerian Stock Exchange. The time series data covers almost five years starting from 4th of March 2011 to 31st of December 2015 excluding weekends and public holidays resulting to approximately 1,106 observations. This study shows that GARCH(0,3), which is the same as ARCH(3) and GARCH(1,1), is the best model that captures the volatility that exist in the insurance stocks through the information criteria of Akaike, Bayesian, Shibata and Hanna Quinn. Also, Value at Risk (VaR) was examined to determine the maximum expected loss in the insurance stocks on daily basis at 95% confidence level. Finally, Potential investors are thereby advised to invest in insurance stocks as they show calm tranquility, though their present stock prices are low but the future remains bright because their market is relatively stable going by the result of the analysis.
[1] E.M Ahmed, andZ.S.Suliman, Modeling Stock Market Volatility using GARCH Models Evidence from Sudan, International Journal of Business and Social Sciences, 2(2011), 114-127.
[2] R.F.Engle, Autoregressive Conditional Heteroskedasticity with Estimates of the Variance of U.K. inflation, Econometrica, 50(1982), 987- 1007.
[3] T. Bollerslev, Generalized Autoregressive Conditional Heteroskedasticity,Journal of Econometrics, 31(1986), 307-327.
[4] O.A Adekunle, G.O. Salami and O.A. Adedipe, Impact of Financial Sector Development on the Nigerian Economic Growth, American Journal of Business and Management, 2(2013), 347-356.
[5] R.F.Engle and V.Ng, Measuring and Testing the Impact of News on Volatility,Journal of Finance, 48(1993), 1749-1758.
[6] J.Y Campbell,A.W Lo, andA.CMackinlay, The Econometrics of financial Markets, Princeton University Press, Princeton, New Jersey(1997).
[7] T. H Rydberg, Realistic Statistical Modelling of Financial Data, International Statistical Review, 68(2000), 233 – 258.
[8] C.Floros, The use of GARCH models for the calculation of Minimum Capital Risk Requirements: International Evidence, Department of Economics, University of Portsmouth, UK.(2007).
[9] A.C.Arize, ,T.Osang, and D.J Slottje, Exchange Rate Volatility in Latin America and its Impact on Foreign Trade,being a Paper Presented at the Southeast Economic Theory and International Trade Conference, Dallas, Texas (2005).
[10] D.Alberg, H.Shalit, and R .Yosef, Estimating stock market volatility using Asymmetric GARCH models. Applied Financial Economics, 18(2008), 1201-1208.
[11] A.Shamiri, andZ. Isa, Modeling and Forecasting Volatility of the Malaysia Stock Markets. Journal of Mathematics and Statistics 5(2009), 234-240.
[12] J.C.Cryer, andS.C. Kung, Time Series Analysis with Application in R, Springer Text in Statistics (2010).
[13] H. A Glyn, (2014): Value-at-Risk, Theory and Practice, Second Edition, e-book at http://value-at-risk.net.
Arum Kingsley.C, Uche Peter .I, "Volatility Modelling using Arch and Garch Models (A Case Study of the Nigerian Stock Exchange)," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 4, pp. 58-63, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I4P511