This study investigates the need for variants of GARCH model when the former fails to fully embrace clumping volatility of either a positive or negative shock via asymmetrical effect, long-memory, high-frequency, and leverage effect. The volatility effect of distributions of crude oil (prices, barrels produced and exported) in Nigeria, for the period of fifteen (15) (1: 2006 to 8:2020) years obtained from Nigeria National Petroleum Corporation (NNPC) bulletin were examined via GARCH and it variants. Exploratory Data Analysis (EDA) and time plot analyzes were carried-out on the one hundred and seventy-six (176) data points. It was deduced that GARCH (2,1) optimally generalized the prices of crude oil among its variants of gjrGARCH (2,1), apARCH (2,1), iGARCH (2,1), and csGARCH (2,1), and that positive and negative shocks did not have the same impact on the volatility of prices of crude oil. In a similar vein, iGARCH (1,1) optimized barrels of crude oil produced and exported among eGARCH (1,1), GARCCH (1,1), gjrGARCH (1,1), apARCH (1,1), iGARCH (1,1), and csGARCH (1,1) for the years of studied. However, it was inferred that positive shock as real meaningful impact on the clumping volatility on barrels of crude oil produced and exported while negative shock as no meaningful impact on the volatility on barrels of crude oil produced and exported.
Published in | International Journal of Accounting, Finance and Risk Management (Volume 6, Issue 1) |
DOI | 10.11648/j.ijafrm.20210601.14 |
Page(s) | 25-35 |
Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2021. Published by Science Publishing Group |
Crude Oil, Volatility, Positive Shock, Negative Shock, GARCH
[1] | Ayere, T. O. (2020). Crude oil price fluctuation and inflation in Nigeria. Advances in Social Sciences Research Journal, 4 (3). doi: 10.14738/assrj.432757. |
[2] | Beine, M., Laurent, S., & Lecourt, C. (2002) Accounting for conditional leptokurtosis and closing days’ effects in FIGARCH models of daily exchange rates. Applied Financial Economics, 12: 589–601. |
[3] | Bollerslev T. (1986). Generalized Autoregressive Conditional Heteroscedasticity. Journal of Econometrics, 31, 307–327. |
[4] | Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis, Forecasting and Control. Holden Day, San Francisco. |
[5] | Chioma, N. N. & Oyedele, A. A. (2017). Simulation and Hedging Oil Price with Geometric Brownian Motion and Single-Step Binomial Price Model. European Journal of Business and Management, 9 (9), 68-81, ISSN 2222-1905. |
[6] | Cifter, A. (2012). Volatility Forecasting with Asymmetric Normal Mixture GARCH Model: Evidence from South Africa. Romanian Journal of Economic Forecasting, 2, 127-142. |
[7] | Christoffersen, P. (1998). Evaluating interval forecasts. International Economic Review, 39, 841-862. |
[8] | Ding, Z., Granger, C. & Engle, R. (1993). A long memory property of stock returns and a new model. Journal of Empirical Finance, 1, 83–106. |
[9] | Enders, W. (2004). Applied Econometric Time Series, 2nd Edition. In: Wiley Series in Probability and Statistics. John Wiley & Sons, Inc., Hoboken. |
[10] | Engle, R. F. (1982). Autoregressive Conditional Heteroskedasticity with Estimates of the Variance of United Kingdom Inflation. Economtrica, 50 (4), 987–1008. |
[11] | Erygit, M. (2012). The dynamical relationship between oil price shocks and selected macroeconomic variables in Turkey. Economic Research, 25 (2), 263-276. Doi: 10.1080/1331677X.2912.11517507. |
[12] | Falade A. (2016). Econometrics Analysis of Oil Prices on Nigerian Financial Economic. JORIND, (9) 1. ISSN 1596-8303. www.transcampus.org/journals. |
[13] | Fryzlewicz, P. (2007). Lecture notes: Financial time series, ARCH and GARCH models, Department of Mathematics, University of Bristol, Bristol BS8 1TW, UK, p.z.fryzlewicz@bristol.ac.uk. http://www.maths.bris.ac.uk/~mapzf/. |
[14] | Glosten, L., Jagannathan, R. & Runkle, D. (1993). On the relation between expected return on stocks, Journal of Finance, 48: 1779–801. |
[15] | Hassan, S. A. & Regassa, H. (2016). Asymmetric behavior of volatility in gasoline prices across different regions of the United States. Journal of Finance and Accountancy, 1-9. |
[16] | Lambert, P. & Laurent, S. (2001). Modelling financial time series using GARCH-type models and a skewed student density, mimeo, Universite´ de Lie`ge. |
[17] | Lambert, P. & Laurent, S. (2000). Modelling skewness dynamics in series of financial data, Discussion Paper, Institut de Statistique, Louvain-la-Neuve. |
[18] | Lim, C. M. & Sek, S. K. (2013). Comparing the performances of GARCH-type models in capturing the stock market volatility in Malaysia. Procedia Economics and Finance, 5, 478–487. |
[19] | Liu, S. & Brorsen, B. (1995) Maximum likelihood estimation of a GARCH-stable model. Journal of Applied Econometrics, 10, 273–85. |
[20] | Mandelbrot, B. (1963). The variation of certain speculative prices, Journal of Business, 36, 394–419. |
[21] | Maqsood, A., Safdar, S., Shafi, R., Lelit, N. J. (2017). Modeling Stock Market Volatility Using GARCH Models: A case study of Nairobi Securities Exchange (NSE). Open Journal of Statistics, 7 (2), 369-381. https://doi.org/10.4236/ojs.2017.72026. |
[22] | Naimy, V. Y. (2013) Parameterization of GARCH (1,1) for Stock Market. American Journal of Mathematics and Statistics, 3, 357-361. |
[23] | Nelson, D. B. (1991). Conditional Heteroskedasticity in asset returns: A new approach. Econometrica, 59 (2), 347-370. https://doi.org/10.2307/2938260. |
[24] | Oriakhi, D. E., & Osaze, I. D. (2013). Oil Price volatility and its consequences on the growth of the Nigerian economy: An examination (1970-2010). Asian Economic and Financial Review, 3 (5), 683-702. |
[25] | Peter, E. A. (2011). The Impact of Oil Price on the Nigerian Economy. Journal of Research in National Development, 9 (1). |
[26] | Posedel, P. (2005). Properties and Estimation of GARCH (1,1) Model. Metodolskizvezki, 2, 243-257. |
[27] | Taylor, S. (1986). Modelling financial time series. New York: Wiley and Sons. |
[28] | Xekalaki, E. & Degiannakis, S. (2010). ARCH models for financial applications. John Wiley & Sons Ltd. |
[29] | White, H. (2000). Reality check for data snooping. Econometrica, 68, 1097-1126. |
APA Style
Rasaki Olawale Olanrewaju, Ezekiel Oseni. (2021). GARCH and Its Variants’ Model: An Application of Crude Oil Distributions in Nigeria. International Journal of Accounting, Finance and Risk Management, 6(1), 25-35. https://doi.org/10.11648/j.ijafrm.20210601.14
ACS Style
Rasaki Olawale Olanrewaju; Ezekiel Oseni. GARCH and Its Variants’ Model: An Application of Crude Oil Distributions in Nigeria. Int. J. Account. Finance Risk Manag. 2021, 6(1), 25-35. doi: 10.11648/j.ijafrm.20210601.14
AMA Style
Rasaki Olawale Olanrewaju, Ezekiel Oseni. GARCH and Its Variants’ Model: An Application of Crude Oil Distributions in Nigeria. Int J Account Finance Risk Manag. 2021;6(1):25-35. doi: 10.11648/j.ijafrm.20210601.14
@article{10.11648/j.ijafrm.20210601.14, author = {Rasaki Olawale Olanrewaju and Ezekiel Oseni}, title = {GARCH and Its Variants’ Model: An Application of Crude Oil Distributions in Nigeria}, journal = {International Journal of Accounting, Finance and Risk Management}, volume = {6}, number = {1}, pages = {25-35}, doi = {10.11648/j.ijafrm.20210601.14}, url = {https://doi.org/10.11648/j.ijafrm.20210601.14}, eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijafrm.20210601.14}, abstract = {This study investigates the need for variants of GARCH model when the former fails to fully embrace clumping volatility of either a positive or negative shock via asymmetrical effect, long-memory, high-frequency, and leverage effect. The volatility effect of distributions of crude oil (prices, barrels produced and exported) in Nigeria, for the period of fifteen (15) (1: 2006 to 8:2020) years obtained from Nigeria National Petroleum Corporation (NNPC) bulletin were examined via GARCH and it variants. Exploratory Data Analysis (EDA) and time plot analyzes were carried-out on the one hundred and seventy-six (176) data points. It was deduced that GARCH (2,1) optimally generalized the prices of crude oil among its variants of gjrGARCH (2,1), apARCH (2,1), iGARCH (2,1), and csGARCH (2,1), and that positive and negative shocks did not have the same impact on the volatility of prices of crude oil. In a similar vein, iGARCH (1,1) optimized barrels of crude oil produced and exported among eGARCH (1,1), GARCCH (1,1), gjrGARCH (1,1), apARCH (1,1), iGARCH (1,1), and csGARCH (1,1) for the years of studied. However, it was inferred that positive shock as real meaningful impact on the clumping volatility on barrels of crude oil produced and exported while negative shock as no meaningful impact on the volatility on barrels of crude oil produced and exported.}, year = {2021} }
TY - JOUR T1 - GARCH and Its Variants’ Model: An Application of Crude Oil Distributions in Nigeria AU - Rasaki Olawale Olanrewaju AU - Ezekiel Oseni Y1 - 2021/03/26 PY - 2021 N1 - https://doi.org/10.11648/j.ijafrm.20210601.14 DO - 10.11648/j.ijafrm.20210601.14 T2 - International Journal of Accounting, Finance and Risk Management JF - International Journal of Accounting, Finance and Risk Management JO - International Journal of Accounting, Finance and Risk Management SP - 25 EP - 35 PB - Science Publishing Group SN - 2578-9376 UR - https://doi.org/10.11648/j.ijafrm.20210601.14 AB - This study investigates the need for variants of GARCH model when the former fails to fully embrace clumping volatility of either a positive or negative shock via asymmetrical effect, long-memory, high-frequency, and leverage effect. The volatility effect of distributions of crude oil (prices, barrels produced and exported) in Nigeria, for the period of fifteen (15) (1: 2006 to 8:2020) years obtained from Nigeria National Petroleum Corporation (NNPC) bulletin were examined via GARCH and it variants. Exploratory Data Analysis (EDA) and time plot analyzes were carried-out on the one hundred and seventy-six (176) data points. It was deduced that GARCH (2,1) optimally generalized the prices of crude oil among its variants of gjrGARCH (2,1), apARCH (2,1), iGARCH (2,1), and csGARCH (2,1), and that positive and negative shocks did not have the same impact on the volatility of prices of crude oil. In a similar vein, iGARCH (1,1) optimized barrels of crude oil produced and exported among eGARCH (1,1), GARCCH (1,1), gjrGARCH (1,1), apARCH (1,1), iGARCH (1,1), and csGARCH (1,1) for the years of studied. However, it was inferred that positive shock as real meaningful impact on the clumping volatility on barrels of crude oil produced and exported while negative shock as no meaningful impact on the volatility on barrels of crude oil produced and exported. VL - 6 IS - 1 ER -