CONDITIONAL VOLATILITY OF CRUDE OIL PRICES IN NIGERIA USING GENERALIZED AUTOREGRESSIVE CONDITIONAL HETEROSKEDASTICITY MODELS
Abstract
This study investigates the conditional volatility of crude oil prices in Nigeria using Generalized Autoregressive Conditional Heteroskedasticity (GARCH) models and their variants. Given the significant economic dependence of Nigeria on crude oil revenues, understanding the dynamics of fluctuations in oil prices is critical. This study analyzes monthly and daily crude oil price data from 2006 to 2022, employing ARIMA-GARCH, TARCH, and other heteroskedasticity models under different error distributions. Statistical tests, including stationarity checks, normality measures, and heteroskedasticity diagnostics, were conducted to ensure model adequacy. Results reveal strong evidence of volatility clustering and long memory effects in the return series, with asymmetric models like TARCH outperforming symmetric GARCH in capturing leverage effects. Furthermore, volatility mean reversion and half-life analysis indicate that shocks in oil price returns persist over time but gradually revert to mean values. These findings underscore the necessity of accurate volatility modeling to enhance forecasting, risk management, and policy formulation in oil-dependent economies like Nigeria
Keywords:
Crude Oil Prices, Volatility, GARCH Models, ARIMA, TARCH, Nigeria, Time Series Analysis, Forecasting, Heteroskedasticity, Mean ReversionDownloads
Published
DOI:
https://doi.org/10.5281/zenodo.15727817Issue
Section
How to Cite
License
Copyright (c) 2025 Emmanuel Ehogela, Abubakar M. Auwal, Chaku Shammah Emanuel , Nweze Nwaze Obini

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
References
Abduchakeem, A., and Kilishi, A. (2016). Oil Price - Macroeconomic Volatility in Nigeria Using GARCH Model And its Variants (GARCH-M, EG ARCH and TGARCH) using daily, monthly and quarterly data; Journal:] CBN Journal of Applied Statistics [ISSN:] 2476-8472 [Volume:] 07 [Year:] 2016 [Issue:] 1 [Pages:] 1-22
Achak L.. Girish, K. J., Ranjit, K. R, and Bisha, 1 G. (2015). Modelling and Forecasting of Price Volatility: An Application of GARCH and EGARCH Models; ‘Cotlook A’ index. Vol. 28 (No.l) January-June 201 5 pp 73-82.
Amare, W. A., Emmanuel, G., and Hayimro, E. (2020). Generalized Autoregressive Conditional Fleteroskedastic Model to Examine Silver Price Volatility and Its Macroeconomic Determinant in Ethiopia Market: Research Article | Open Access
Awidan, R. H. M. ((2019). Time Series Modelling of Oil Price Fluctuations: Applications to Libya and Nigeria: https://doi.org/10.7190/shu-thesis-00292.
Ayeni, O. D., (2018). Impact of Oil Price Shock and Exchange Rate Volatility on Economic Growth in Nigeria: An Empirical Investigation; Published in: AAU Annuals of Accounting, Educational and Social Research, Vol. 2, No. 5 (2018): pp. 44-53.
Bahar, A., NOH, N. M., and ZAINUDDIN, Z. M. (2017). Modelling Crude Oil Price with Structural Break. Malaysian Journal of Fundamental and Applied Sciences, pp. 421-424.
Bashir, U, F. (2018). The Relevance of GARCH-family Models in forecasting Nigerian Oil Price Volatility; Article Vol 42. No 2, 2018
Boitumelo, N., Yolanda, S., Johannes, T. T., and Lebotsa, D. M. (2020). Modelling The Oil Price Volatility and Maycroeconomic Variables in South Africa Using the Symmetric and Asymmetric GARCH Models; Cogent Economics & Finance, volume 8, 2020, issue -1
Christopher, N. Ekong., and Kenneth, U. O. (2018). The Optimal Forecasting Model of Stock Returns and The Nature of Stock Returns Volatility in Nigeria Using Daily All-Share stock data. MPRA_papeiy88309.pdf
Deebom, Z. D., Mazi, Y. D., Chims, B.E.., Richard, 1, C., and George, L, E. (2021). Comparative Modelling of Price Volatility in Nigerian Crude Oil Markets Using Symmetric and Asymmetric GARCH Models; International Journal of Applied Science and Mathematical 'Theory ISSN 2^89-O09X Vol. 5 No. 1 2019.
Deebom, Z. D; and Isaac, D. (2019). Modeling Price Volatility of Nigerian Crude Oil Markets Using GARCH Model: 1987-2017, International Journal of Applied Science and Mathematical Theory ISSN 2489-009X Vol. 5 No. 1 2019
Dr, Mahesh, R„ and Prasad, V. D. (2016), Modeling Returns and Volatility Transmission from Crude Oil Prices to Leone-US Dollar Exchange Rate in Sierra Leone: A GARCH Approach with Structural Bréales, Modern Economy- Vol, 12 No.3, March 2021
Dum, D. Z„ Dimkpa, M, Y., Ele, C. B„ Chinedu, R. L, and Emugha, G, L. (2021). Comparative Modelling of Price Volatility in Nigerian Crude Oil Markets Using Symmetric and Asymmetric GARCH Models, Asian Research Journal of Mathematics, 17(3): 35-54.
Fredj J., Wael. L., Hachmi, B, A., and Abdoulkarim, 1, C. (2016), The Dynamics of Oil Price Volatility Interactions Between the Oil Market and The US dollar/euro Exchange rate; Economic Modelling 59, 329-334, 2016
Geleta. T. M; Jane, A. A„ and Ananda, O. K. (2020), Improving Forecasts of the EGARCH Model Using Artificial Neural Network and Fuzzy Inference System; Article Volume 2020 {Article ID 6871396 | https://doi.org/10.n55/2020/6871396.
Ham, P., Fiyat, O., Modellemesi, V., Küresel, F., and Krizin, E. (2016). Modelling Crude Oilil Price Volatility and The Effects of Global Financial Crisis; Sosyoekonomi 24 (29). 167 - 181J81
Hassan, S, S. (2011). Modelled'Asymmetric Volatility in Oil Prices, Journal of Applied Business Research, Vol. 27, No. 3, 71-78. Jarque, CM, Bera, A.K. 1980, efficient tests
Ijeoma, C. N., Goodness, C. A., and Benjamin, C. A. (2016). Effect of oil Price on the Volatility of Food Price in Nigeria; Cogent Food & Agriculture .2 (1), 1146057, 2016
Kuhe, D. A. (2019). The Dynamic Relationship between Crude Oil Prices and Stock Market Price Volatility in Nigeria: A Cointegrated VAR-GARCH Model. Current Journal of Applied Science and Technology, Page 1-12, DOI: 10.9734/cjast/2019/v38i330363 Published: 2 November 2019
Ngonzi, G. E., Monday, O.A., and Nwaze, Ó. N. (2020). The Volatility of Daily Stock Returns of Total Nigeria Plc: Evidence from GARCH Models, Value-at-risk And Backtesting; https.7/ifin-swufe.springeropen.com/articles/l 0.1186/s40854-020-00178-1
Olugbenga, F. and Ogunsola, S. K, (2017). Impact of Oil Price Volatility on Investment Decision Making in Marginal Fields Development in Nigeria.DOI: 10.9734/BJEMB2017/28175
Omur, S., Batman, D., and Mert, U. (2016). Volatility Modelling in Crude Oil and Natural Gas Prices; Procedía economics and finance 3 8, 476-491.2016
Onyeka-Ubaka. J. N., Agwuegbo S. O. N., Abass O_, and Imam R. O. (2018). The Crude Oil Price Return Volatility Patterns Using Autoregressive Integrated Moving Average
(ARIMA) And Generalized Autoregressive Conditional Heteroskedasticity (GARCH) family models;ionyeka~ubaka@unilag.edu.ngPage:8-14|DOI:https://d0i.0rg/l0.18280/mmcd.390102
Salim, L. (2013). The Performance of Four Hybrid Systems Used to Estimate and Predict Crude Oil Price Volatility Data. Uncertain Supply Chain Management 1 (3), 145-152, 2013 (2020).
Sujoy, B., and Arshad, A. (2018). Thel Volatility and the Output in Terms of Return Vectors of Inputs for a Neural Network. International Journal of Business Forecasting and Marketing Intelligence 4 (4), 446-457.
Thomas, L., Mawuli, S., and Rangan. G. (2016). Modeling and Forecasting Crude Oil Price Volatility: Evidence from Historical and Recent data: Energy Economics 56, 117-133, 2016
Thomas, L., Mawuli, S., and Ranger, G. (2015), Oil Price Volatility Over the Time Periods from January 02, 1875 to December 31, 1895 and from January 03, 1977 to March 24, 2014; FinMaP-Working Paper, 2015
Titus, E. M., and Ahmed, A. (2020). Modeling Fluctuation of the Price of Crude Oil in Nigeria Using ARCH, ARCH-M Models; Asian Journal of Probability and Statistics 7(1): 16-40, 2020; Article no. AJPAS.54805 ISSN: 2582-0230.Volume 2020 [Article ID 6871396 | https://d0i.org/l0.1155/2020/6871396Volume 2020 |Article ID 5095181 | https://doi.org/10.1155/2020/5095181
Yaziz, S. R., and Maizah, A. (2011). Box-Jenkins Methodology and Generalized Autoregressive Conditional Heteroscedasticity (GARCH) approach in analyzing the crude oil prices; Journal of Applied Sciences 11(7) DOI: 10.3 923/jas.2011.1129.113 5
Yu, L. and Fixing, L. (2020). Comparison of Uni-regime GARCH-type models, GARCH-typc Models with Markov and Hidden Markov (HM) Switching regimes Daqing crude oil markets: volume 87, March, 2020; 104693
Yue-Jun, Z. Ting Y., Ling-Yun, H., and Ronald, R. (2019). Volatility Forecasting of Crude Oil Market: Can the Regime Switching GARCH Model Beat the Single-regime GARCH Models; International Review of Economics & Finance 59, 302-317, 2019
Zied, F,, and Frcdj, J. (2019). Oil Price Volatility and Uncertainty Over the Period January 1986- December 2018: The Energy Journal 40 (Special Issue), 2019