FUW TRENDS IN SCIENCE & TECHNOLOGY JOURNAL

(A Peer Review Journal)
e–ISSN: 2408–5162; p–ISSN: 2048–5170

FUW TRENDS IN SCIENCE & TECHNOLOGY JOURNAL

DATA TRANSFORMATION AND ARIMA MODELS: A STUDY OF EXCHANGE RATE OF NIGERIA NAIRA TO US DOLLAR
Pages: 299-306
A. A. Adetunji, A.O. Adejumo and A.J. Omowaye


keywords: Time series, ARIMA model, natural log transformation, square root transformation.

Abstract

Exchange rate of any country’s currency goes a long way in affecting various economic activities and it ensures effective and efficient planning. In order to assist different policy makers in Nigeria in purposeful prediction by identifying and validating the usage of essential model, the yearly average exchange rate of Nigeria naira to US dollar from 1960 to 2015 is examined. ARIMA (0,0,0 to 2,2,2) were sequentially examined using Square Root Transformation (SRT), Natural Log Transformation (NLT) and original series without transformation (WT). NBIC, RMSE, MAE, and Ljung-Box Q are used as selection criteria among all the competing models within and among different transformations. ARIMA(1,0,0) when SRT is utilized is found to provide optimal output with stationary-R2 of 0.976; coefficient of determination (R2) of 97.3%; NBIC of 4.888 and Ljung-Box Q P-value of 0.981. Hence, the recommended model for forecasting of average yearly exchange rate of Nigeria naira to US dollar.

References

Adams SO, Akano RO& Asemota OJ 2011. Forecasting electricity generation in Nigeria using univariate time series models. European J. Scient. Res., 58(1): 30-37. Akaike H 1974. A new look at the statistical model identification. IEEE Transa. Automatic Control, l19(6): 716–723. Albayrak AS 2010. ARIMA forecasting of primary energy production and consumption in Turkey: 1923-2006. Enerji PiyasaveDüzenleme, 1(1): 24-50. Al-Wadia MI 2011. Selecting wavelet transforms model in forecasting financial time series data based on ARIMA model, Applied Mathtcal. Sci., 5(7): 315 – 326. Anderson, D.R. (2008). Model Based Inference in the Life Sciences: A Primer on Evidence. Springer, New York. Badmus MA & Ariyo OS 2011. Forecasting cultivated areas and production of maize in Nigerian using ARIMA model. Asian J. Agric. Sci., 3(3): 171-176. Box GEP & Jenkins GM 1994. Time Series Analysis: Forecasting and Control. 3rd Edition, Prentice Hall, New Jersey. Contreras J, Espinola R, Nogales FJ & Conejo AJ 2003. ARIMA models to predict next day electricity prices. IEEE Transa. Power Sys., 18(3): 1014-1020. Datta K 2011. ARIMA forecasting of inflation in the Bangladesh Economy. The IUP J. Bank Mgt., 10(4): 7-15. Emang D, Shitan M, Ghani AN & Noor KM 2010. Forecasting with univariate time series models: A case of export demand for Peninsular Malaysia’s moulding and chipboard. J. Sust. Dev., 3(3): 157-161. Glassman J & Stockton D 1987. An evaluation of the forecast performance of alternative models of inflation. Rev. Economics and Stat., 69(1): 108-117. Granger CWJ & Newbold P 1976. Forecasting transformed series. J. Royal Statcal. Society, B38: 189–203. Guitan M 1976. The effects of changes in exchange rate on output, prices and the balance of payments. J. Int. Economics, 6(1): 65-74. Lϋtkepohl H & Xu F 2009. The role of the log transformation in forecasting economic variables. Empirical Economics, 42(3): 619-638. Jiban CP, Md Shahidul H & Mohammad MR 2013. Selection of best ARIMA model for forecasting average daily share price index of pharmaceutical companies in Bangladesh: A case study on square pharmaceutical Ltd. Global J. Mgt. & Busi. Res. Finance, 13(3): 14-25. Liv Q, Liu X, Jiang B & Yang W 2011. Forecasting incidence of hemorrhagic fever with renal syndrome in China using ARIMA model. Pubmed Central, 13(3): 1 – 7. DOI: 10.1186/1471-2334-11-218 Nwankwo S.C (2014). “Autoregressive integrated moving average (ARIMA) model for exchange rate (Naira to Dollar)”. Aca. J. Interdis. Studies, 3(4): 429-433. Onasanya OK & Adeniji OE 2013. Forecasting of exchange rate between Naira and US Dollar using time domain model. Int. J. Dev. & Econ. Sust., 1(1): 45-55. Rahman NM 2010. Forecasting of boro rice production in Bangladesh: An ARIMA approach. J. Bangladesh Agril. Univ., 8(1): 103-112. Sarpong SA 2013. Modelling and forecasting maternal mortality: An application of ARIMA Models. Int. J. Applied Sci. & Tech., 3(1): 19 – 28. Schwarz GE 1978. Estimating the dimension of a model. Annals of Stat., 6(2): 461–464. Shafaqat M 2012. Forecasting Pakistan’s Exports to SAARC: An application of univariate ARIMA model. J. Contem. Issues in Busi. Res., 1(3): 96 – 110. Tsitsika EV, Maravelias CD & Haralatous J 2007. Modeling & forecasting pelagic fish production using univariate and multivariate ARIMA models. Fisheries Sci., 7(3): 979-988. Yang Y 2005. Can the strengths of AIC and BIC be shared? A conflict between model identification and regression estimation. Biometrika, 92(4): 937-950. http://www.cenbank.org/rates/ExchRateByCurrency.asp https://en.wikipedia.org/wiki/Exchange_rate https://en.wikipedia.org/wiki/Akaike_information_criterion https://en.wikipedia.org/wiki/Bayesian_information_criterion

Highlights