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A Subset SARIMA Model For Daily Euro-Dollar Exchange Rates

Euro-Asian Journal of Economics and Finance

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Title A Subset SARIMA Model For Daily Euro-Dollar Exchange Rates
 
Creator Etuk, Ette Harrison
 
Subject Daily Euro-Dollar exchange rates, Sarima modelling, Subset sarima modelling, foreign exchange rates, euro, US dollar, time series, arma models, arima models, seasonal time series
 
Description This write-up is on the seasonal autoregressive integrated moving average (SARIMA) modelling of daily exchange rates of the Euro and the US Dollar. The realization analyzed is from June 21 to December 17 in the year 2014. Its time-plot has a downward secular trend which depicts the fact that the dollar is relatively appreciating within the 180-day period. An inspection reveals that the series is seasonal of weekly periodicity. Therefore a seven-day differencing of the series yields a series adjudged stationary by the Augmented Dickey Fuller (ADF) Test.  However its time-plot shows a generally slightly positive secular trend and its correlogram does not support the stationarity hypothesis as it reveals a sinusoidal pattern of period 7 days.  A further non-seasonal differencing yields a series which has a generally horizontal trend and is adjudged as stationary by the ADF Test. Its correlogram not only supports the stationarity hypothesis but also confirms the 7-day seasonality assumption. By application of a new subset SARIMA modelling algorithm an adequate subset SARIMA (1,1,0)x(1,1,0)7 model is fitted to the data. Forecasting of the series may therefore be based on the model.
 
Publisher Academy of Business & Scientific Research
 
Date 2015-04-02
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Peer-reviewed Article
 
Format application/pdf
 
Identifier http://absronline.org/journals/index.php/eajef/article/view/476
 
Source Euro-Asian Journal of Economics and Finance; Vol 3 No 2 (2015): April; 113-124
2310-4929
2310-0184
 
Language eng
 
Relation http://absronline.org/journals/index.php/eajef/article/view/476/495
 
Rights Copyright (c) 2015 Euro-Asian Journal of Economics and Finance