Author(s)

Muhamad Safiih Lola, Anthea David, Nurul Hila Zainuddin

School of Informatics and Applied Mathematics, Universiti Malaysia Terengganu, Kuala Nerus, Malaysia.

The use of historical data is important in making the predictions, for instance in the exchange rate. However, in the construction of a model, extreme data or dirtiness of data is inevitable. In this study, AR model is used with the exchange rate historical data (January 2007 until December 2007) for USD/MYR and is divided into 1-, 3- and 6-horizontal months respectively. Since the presence of extreme data will affect the accuracy of the results obtained in a prediction. Therefore, to obtain a more accurate prediction results, the bootstrap approach was implemented by hybrid with AR model coins as the Bootstrap Autoregressive model (BAR). The effectiveness of the proposed model is investigated by comparing the existing and the proposed model through the statistical performance methods which are RMSE, MAE and MAD. The comparison involves 1%, 5% and 10% for each horizontal month. The results showed that the BAR model performed better than the AR model in terms of sensitivity to extreme data, the accuracy of forecasting models, efficiency and predictability of the model prediction. In conclusion, bootstrap method can alleviate the sensitivity of the model to the extreme data, thereby improving the accuracy of forecasting model which also have high prediction efficiency and that can increase the predictability of the model.

Autoregressive Model, Outliers, Bootstrap, Robust

Lola, M. , David, A. and Zainuddin, N. (2016) Bootstrap Approaches to Autoregressive Model on Exchange Rates Currency. Open Journal of Statistics, 6, 1010-1024. doi: 10.4236/ojs.2016.66081.