Science Journal of Applied Mathematics and Statistics

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Short-Term Forecasting of Nigeria Inflation Rates Using Seasonal ARIMA Model

Received: 29 March 2016    Accepted: 29 April 2016    Published: 25 May 2016
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Abstract

This paper considers the analyses and forecasting of the monthly All-items (Year-on-Year change) Inflation Rates in Nigeria. The data used for this study are monthly All-items Inflation rates from 2000 to 2015 collected from the Central Bank of Nigeria. Analyses reveal that the Inflation rates of Nigeria are seasonal and follow a seasonal ARIMA Model, (0, 1, 0) x (0, 1, 1)12. The model is shown to be adequate and the forecast obtained from it are shown to agree closely with the original observations.

DOI 10.11648/j.sjams.20160403.13
Published in Science Journal of Applied Mathematics and Statistics (Volume 4, Issue 3, June 2016)
Page(s) 101-107
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.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Inflation Rates, Seasonal Time Series, SARIMA Model, Forecasting

References
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[2] Aidan, M., Geoff, K. and Terry, Q. (1998): Forecasting Irish Inflation using ARIMA Models. CBI Technical Papers 3/RT/98: 1-48. Central Bank and Financial Services Authority of Ireland.
[3] Alan, P. (1983): Forecasting with univariate Box and Jenkins Models: Concepts and Case. Wiley and Sons. New York.
[4] Box, G. E. P. and Jenkins, G. M. (1976): Time series Analysis, Forecasting and Control. Holden Day, San Francisco.
[5] David, F. H. (2001): Modeling UK Inflation (1875 – 1991). Journal of Applied Econometrics, 16 (3), 255-275.
[6] Doguwa, S. I. and Alade, S. O. (2013): Short-term Inflation Forecasting Models for Nigeria. CBN Journal of Applied Statistics, 4 (2), 1-29.
[7] Etuk, E. H. (2012): Predicting Inflation Rates of Nigeria Using a Seasonal Box-Jenkins Model. Journal of Statistical and Econometric Methods, 1 (3), 27-37.
[8] Etuk, E. H., Uchendu, B. and Victoredema, U. A. (2012): Forecasting Nigeria Inflation Rates by a Seasonal ARIMA Model. Canadian Journal of Pure and Applied Sciences, 6 (3), 2179-2185.
[9] Fakiyesi, O. M. (1996): Further Empirical Analysis of Inflation in Nigeria. Central Bank of Nigeria Economic and Financial Review, 34 (1), 489-499.
[10] Gary, G. M. (1995): The main determinants of Inflation in Nigeria. IMF Staff Papers. International Monetary Fund, 42 (2), 270-289.
[11] Hall, R. (1982): Inflation: Causes and Effects. University of Chicago Press, Chicago.
[12] Imimole, B. and Enoma, A. (2011): Exchange Rates Depreciation and Inflation in Nigeria (1986-2008). Business and Economics Journal, BEJ-28, 1-12.
[13] Johnson, H. G. (1973): Further Essay in Monetary Economy. George Wallen and Unwin. London.
[14] Junttila, J. (2001): Structural breaks, ARIMA models and finish Inflation forecasts. International Journal of Forecasting, 17, 203-230.
[15] Odusanya, I. A. and Atanda, A. A. M. (2010): Analysis of Inflation and its determinants in Nigeria: Pakistan Journal of Social Sciences, 7 (2), 97-100.
[16] Ojameruaye, E. O. (1998): Analysis of the determinants of general price level in Nigeria. Research and Development, 5 (1, 2), 80-96.
[17] Olajide, J. T., Ayansola, O. A., Odusina, M. T. and Oyenuga, I. F. (2012): Forecasting the Inflation Rates in Nigeria: Box-Jenkins Approach. IOSR Journal of Mathematics, 3 (5), 15-19.
[18] Onwioduokit, E. A. (2002): Fiscal Deficit and Inflation in Nigeria: An Empirical Investigation of Causal Relationships. CBN Economic and Financial Review, 37 (2), 1-1.
[19] Otu, A. O., Osuji, G. A., Opara, J., Mbachu, H. I. and Iheagwara, A. I. (2014): Application of SARIMA models in modeling and forecasting Nigeria’s Inflation Rates. American Journal of Applied Mathematics and Statistics, 2 (1), 16-28.
[20] Omekara, C. O., Ekpenyong, E. J. and Ekerete, M. P. (2013): Modeling the Nigeria Inflation Rates using Periodogram and Fourier Series Analysis. CBN Journal of Applied Statistics, 4 (2), 51-68.
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    Ekpenyong Emmanuel John, Udoudo Unyime Patrick. (2016). Short-Term Forecasting of Nigeria Inflation Rates Using Seasonal ARIMA Model. Science Journal of Applied Mathematics and Statistics, 4(3), 101-107. https://doi.org/10.11648/j.sjams.20160403.13

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    ACS Style

    Ekpenyong Emmanuel John; Udoudo Unyime Patrick. Short-Term Forecasting of Nigeria Inflation Rates Using Seasonal ARIMA Model. Sci. J. Appl. Math. Stat. 2016, 4(3), 101-107. doi: 10.11648/j.sjams.20160403.13

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    AMA Style

    Ekpenyong Emmanuel John, Udoudo Unyime Patrick. Short-Term Forecasting of Nigeria Inflation Rates Using Seasonal ARIMA Model. Sci J Appl Math Stat. 2016;4(3):101-107. doi: 10.11648/j.sjams.20160403.13

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  • @article{10.11648/j.sjams.20160403.13,
      author = {Ekpenyong Emmanuel John and Udoudo Unyime Patrick},
      title = {Short-Term Forecasting of Nigeria Inflation Rates Using Seasonal ARIMA Model},
      journal = {Science Journal of Applied Mathematics and Statistics},
      volume = {4},
      number = {3},
      pages = {101-107},
      doi = {10.11648/j.sjams.20160403.13},
      url = {https://doi.org/10.11648/j.sjams.20160403.13},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjams.20160403.13},
      abstract = {This paper considers the analyses and forecasting of the monthly All-items (Year-on-Year change) Inflation Rates in Nigeria. The data used for this study are monthly All-items Inflation rates from 2000 to 2015 collected from the Central Bank of Nigeria. Analyses reveal that the Inflation rates of Nigeria are seasonal and follow a seasonal ARIMA Model, (0, 1, 0) x (0, 1, 1)12. The model is shown to be adequate and the forecast obtained from it are shown to agree closely with the original observations.},
     year = {2016}
    }
    

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    AB  - This paper considers the analyses and forecasting of the monthly All-items (Year-on-Year change) Inflation Rates in Nigeria. The data used for this study are monthly All-items Inflation rates from 2000 to 2015 collected from the Central Bank of Nigeria. Analyses reveal that the Inflation rates of Nigeria are seasonal and follow a seasonal ARIMA Model, (0, 1, 0) x (0, 1, 1)12. The model is shown to be adequate and the forecast obtained from it are shown to agree closely with the original observations.
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Author Information
  • Department of Statistics, Michael Okpara University of Agriculture, Umudike, Abia State, Nigeria

  • Department of Statistics, Akwa Ibom State Polytechnic, Ikot Osurua, Akwa Ibom State, Nigeria

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