Time Series Analysis of Nigeria Foreign Exchange Reserve
DOI:
https://doi.org/10.14738/tmlai.74.6566Keywords:
External reserve, ARIMA, stationarity, model selection, forecastsAbstract
Time series analysis was carried out on Nigeria External Reserves for the period of 1960 – 2018. An empirical investigation was conducted using time series data on Nigeria External Reserve for a period of 58 years. The techniques of estimation employed in the study include Phillips-Perron unit root test, Dickey-Fuller’s test, the Autocorrelation function and the Partial Autocorrelation function for the model selection. The Box-Jenkins ARIMA methodology was used for forecasting the monthly data collected from 1960 to 2018. Result of the analysis revealed that the series became stationary at first difference. The diagnostic check showed that ARIMA (1, 1, 2) is appropriate or optimal model based on the Loglikelihood (LogLik), Akaike’s Information Criterion (AIC), as well as the small standard error of the AR(1), MA(1) and MA(2) parameters. The performance of “forecast.Arima()” function in R gives the best model for Nigeria external reserve. Testing for other ARIMA models is necessary in order to establish the best. The downward movement in the forecasts of Nigeria external reserve would be helpful for policy makers in Nigeria.References
Adam E. and Léonce N. (2007). African Development Bank; United Nations. Economic Commission for Africa. (2007-11). Reserves accumulation in African countries: sources, motivations and effects.UN. ECA African Economic Conference (2007, Nov. 15-17: Addis Ababa, Ethiopia). Addis Ababa: UN.ECA,. http://hdl.handle.net/10855/21152”
Ajao I.O; Obafemi O.S and Bolarinwa F. A. (2017). Modelling Dollar-Naira Exchange Rate in Nigeria. National statistical society vol. 1, 2017.Department of Mathematics and Statistics, The Federal Polytechnic, Ado-Ekiti, Ado-Ekiti, Nigeria.
Akpanta, A.C and Okorie, I.E. (2015). ARI (p.d) Modelling and forecasting of Nigeria’s External Reserves.World Journal of Probability and Statistics Research, Vol. 1, June, 2015. pp 1-9.
Alfredo S. and Francisco R.B. (2004). External Debt and Economic Growth in Latin America. www.cbaeconomia.com/debt-latin.
Alhaji, M. Nda (2006). Effective Reserves Management in Nigeria:Issues, Challenges and Prospects. Bullion (Central Bank of Nigeria) 30, No. 3 (July – September, 2006): 47 – 53.
Audu, Isa (2004).“The Impact of External Debt on Economic Growth and Public Investment: The Case of Nigeria”. African Institute for Economic Development and Planning (IDEP) Dakar Senegal. http://www.unidep.org.
Borensztein E. (1990). Debt Overhang, Debt Reduction and Investment:The Case of the Philippines (September 1990). IMF Working Paper, Vol., pp. 1-27, 1990. Available at SSRN: https://ssrn.com/abstract=884986.
Box, G.E.P and Cox, D.R (1964). An Analysis of Transformation. Journal of the Royal Statistical Society Series B. 26211 – 46.
Box, G.E.P and Jenkins G.M (1976). Time series analysis; forecasting and control, rev. ed., Oakland, California: Holding-Day.
Central Bank of Nigeria (1999). Amendment ACT No. 41.
Davidson R. MacKinnon J. G. (2004).Econometric Theory and Methods. New York: Oxford University Press. p. 623. ISBN 0-19-512372-7.
Doguwa, S.I and Alade S.O. (2015). On Time Series Modeling of Nigeria External Reserves. CBN Journal of Applied Statistics, vol. 6 No. 1 (a).
Elbadawi I. (1997).Determinants of the real exchange rate in south Africa:Centre for the study of African economies institute of economics and statistics, university of oxford. www.researchgate.net/publication/5070621_Determinants_of_the_Real_Exchange_Rate_ in_south_Africa.
Etuk, E. H., Moffat, U.I and Chims, E.B (2013).Modeling monthly Rainfall Data of Port Harcourt, Nigeria by Seasonal Box-Jenkins Method:International Journal of Sciences, - 7:vol 2.
Fischer, S. (2001). Opening Remarks, IMF Washington DC.
Giavazzi F. and Pagano M. (1990).Can severe fiscal contractions be expansionary? Tales of two small European countries. www.nber.org/chapters/10973.
IMF (2009).Balance of Payment and International Investment Position Manual,6th Edition (Washington: International Monetary Fund).
Iwueze, I.S, Nwogu, E.C and Nlebedim, V.U (2013). Time Series modeling of Nigeria External Reserves.CBN Journal of Applied Statistics Vol. 4, No. 2:111-128.
Kyland F. E. & Prescott E. C. (1977). Rules Rather than Direction:The Inconsistency of Optimal Plans. The Journal of Political Economy, 85(3), 473-492. Lanedell-Mills, Joshin N. (1989). The Demand for International Reserves and their Opportunity Cost. IMF Staff Papers, 36.
Mei-Yin Li, & Jne-Shyan Wang (2008). Foreign Exchange Reserves and Inflation:An Empirical Study of five East Asia Economies. Aletheia University Taiwan and National Chengchi University, Taiwian.
Ndungu’u N.S. (1998).The dynamic of external debt accumulation on private investment and growth in Africa. Department of Economics. University of Nairobi, Kenya. https://repository.uneca.org/bitstream/handle/10855/15520/bib-62116.
Nzotta S. M. (2004). Money, Banking and Finance (Theory and Practice).Owerri: Hudson-Jude Nigeria Publishers.
Ohakwe, J., Odo, I. Nwosu C. (2013). A Statistical Analysis of the Nigerian. External Reserves and the Impact of Military and Civilian Rule.Bulletin of Mathematical Sciences and Application, Vol. 2 No. 1 (2013), Pp. 63 – 84), ISSN: 2278 – 9634.
Okeregwu B.A. and Etuk E.H. (2017). Time Series Analysis of Nigerian External Reserves. CARD International Journal of Educational Research and Management Technology (IJERMT)Department of Mathematics, Rivers State University, P.M.B 5080, Nkpolu- Oroworukwo, Port Harcourt. ISSN: 2545-5893 (Print) 2545-5877 (Online) Volume 2, Number 4, December 2017. http://www.casirmediapublishing.com.
Phillips, P. C. B. and Perron, P. (1988)."Testing for a Unit Root in Time Series Regression" Biometrika . 75 (2): 335–346. doi: 10.1093/biomet/75.2.335.
Sinha P. (2010). Modeling and forecasting of macro-economic variables of India:Before, during and after recession. Faculty of management studies, University of Delhi. https://mpra.ub.unimuenchen.de/.../modeling_and_forecasting_of_macro economic_variables_of_india.
Usman A. and Ibrahim W. (2010). External reserves holdings in Nigeria:Implications for investment, inflation and exchange rate. Department of Economics, University of Ilorin, Ilorin, Nigeria. Department of Economics, Al-Hikmah University, Ilorin, Nigeria. Journal of Economics and International Finance Vol. 2(9), pp. 183-189, September 2010. Available online at http://www.academicjournals.org/JEIF. ISSN 2006-9812 ©2010 Academic Journals.
Zubair, M.A and Olanrewaju, S.O. (2014). Time Series Model of Nigeria’s External Reserves. The International Journal of Engineering and Sciences (IJES) vol. 3, ISSVE 1, ISSN(e): 2319 – 1813 ISSN (P): 22319-1805:1-10.