A Univariate Time Series Analysis of Nigeria’s Monthly Inflation Rate

Authors

  • Timothy O. Olatayo
  • Abass I. Taiwo

DOI:

https://doi.org/10.46881/ajsn.v1i1.22

Keywords:

Inflation rate, Seasonal Autoregressive Integrated Moving Average, Forecasting, Parameters and Model Building.

Abstract

Inflation refers to general increase in prices and fall in the purchasing power or value of money. le Inflation has always been undesirable for any nation’s economy in the world. This paper discusses and analyses the fluctuations and volatility in Nigeria’s inflation rates. The methodology employed in the analysis and modelling of the inflation rates was Seasonal Autoregressive Integrated Moving Average (SARIMA) model. The identification stage of the model building suggests four models for Nigeria’s inflation forecast, but was validated in the estimation stage using Akaike Information Criteria (AIC), Shwart Bayesian Criteria (SBC), Hanna Quinn Criteria (HQC) parameters. The model was diagnosed and the results showed that the model was adequate and parsimonious. Hence, was fitted to obtain forecast values on monthly bases with minimum root mean square error (RMSE), mean absolute error (MAE) and mean absolute percentage error (MAPE) parameters respectively. In conclusion, the model was a good fit with minimum parameters and the forecast generated revealed high fluctuation and volatility in Nigeria’s inflation rates. The forecast results will help policy makers to gain an insight into more appropriate economic and monetary policy in order to combat the predicted rise and fall of Nigerian inflation rates.

Author Biographies

Timothy O. Olatayo

Department of Mathematical Sciences, Olabisi Onabanjo University, Ago-Iwoye

Abass I. Taiwo

Department of Mathematical Sciences, Olabisi Onabanjo University, Ago-Iwoye

References

Box, G. E. P., and Jenkins G. M. (1976): Time Series Analysis: Forecasting and Control, rev. ed Oakland, CA: Holden-Day.

David F. H. (2001): Modelling UK inflation, 1875-1991.J. Appl. Economics., 16(3): 255-275.

Davidson, J. (2000): Econometric Theory, Blackwell, pp.162.

Hendry, D. F. (2006): Modelling UK Inflation, Economics Department, Oxford University, U.K

Hipel, K. W, Mcleod, A. L. and Lennox W. C. (1977): Advanced in Box and Jenkins Modelling 1 Water Resources Research, 13 (3), 567 – 575.

Olatayo T. O. & Alabi O. O, (2011): Forecasting Modelling in Stochastic Time Series Process Journal of Mathematical Sciences, 22 (2), 135-142,

Olatayo T. O. & Taiwo A. I. (2012): Measuring the Structural Relationship of Some Macro-Economic Time Series Data (A Vector Autoregressive Approach). African Journal of Pure and Applied (ASPS). 2 (1); 63-69

Olatayo T. O & Adeboye N.O. (2013): Predicting Population Growth through Births and Death Rate in Nigeria, Mathematical Theory and Modelling, 3(1) 96-101.

Olatayo T. O., Taiwo A. I. & Afolayan R. B. (2014): Statistical Modelling and Prediction of Time Series Data. Journal of the Nigerian Association of Mathematical Physics, 27, 201 -208,

Pfaff, B (2004) “Unit root and Co integration Test for Time Series†R package, version 0.6-1.

Sloman, J. and Kevin, H. (2007): Economics for Business. and Financial Times Series, Prentice Hall.

Suleman, N. and Sarpong S. (2012): Empirical approach to modelling and forecasting inflation in Ghana. J. Econ. Theory, 4(3): 83-87.

Taiwo A. I. and Olatayo T. O. (2013): Measuring Forecasting Performance of Vector Autoregressive and Time Series Regression Analysis. American Journal of Scientific and Industrial Research, 4(1) 49 – 58.

Taiwo, J. K. (2011): Econometric Analysis of the Causes and Effects of Inflation, M.Sc. Thesis, Department of Mathematics, University of Abuja, Nigeria.

Tucker, I. B. (2007): Economics for Today’s World. Thomson South Western.

Wei, W. S, (2006).Time Series Analysis Univariate and Multivariate Methods, Second Edition, Pearson Addison Welsley.

Downloads

Published

2015-06-20

Issue

Section

Articles