In real-world scenarios, numerous external events disrupt many time series, causing fluctuations in the series' mean level. When modeling such series using the traditional ARIMA model, this can result in distortions in the model's parameter estimations, the structure of the fitted model, and future value projections. Any unusual values in the series that might have arisen as a result of the special event could be adjusted using the Box-Tiao intervention modeling technique. This study investigates time series intervention modelling based on ETS and ARIMA models aimed at studying the response of the comparative value of the Bangladesh Taka to the Nigerian Naira due to the 2016 economic recession. The dataset for this study is the daily exchange rate of Bangladesh Taka to Nigerian Naira from January to December 2016. The BDT/NGN2016 exchange rates have been considered, with a step intervention being the introduction of the economic recession in June 2016. Results revealed an initial impact of 0.5217. The intervention caused a 68.49% depreciation in the value of the Naira exchanged with the Bangladesh Taka in the exchange rate market, with a decay rate of 0.6. The intervention effect was persistent, with a long-run effect of 1.2862. Hence, the intervention had a gradual start and a permanent effect.
| Published in | Science Journal of Applied Mathematics and Statistics (Volume 12, Issue 1) |
| DOI | 10.11648/j.sjams.20241201.11 |
| Page(s) | 1-12 |
| 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 |
ETS Model, ARIMA, Intervention Modelling, Bangladesh Taka/Nigerian Naira
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APA Style
Inyang, E. J., Nafo, N. M., Wegbom, A. I., Da-Wariboko, Y. A. (2024). ETS - ARIMA Intervention Modelling of Bangladesh Taka/Nigerian Naira Exchange Rates. Science Journal of Applied Mathematics and Statistics, 12(1), 1-12. https://doi.org/10.11648/j.sjams.20241201.11
ACS Style
Inyang, E. J.; Nafo, N. M.; Wegbom, A. I.; Da-Wariboko, Y. A. ETS - ARIMA Intervention Modelling of Bangladesh Taka/Nigerian Naira Exchange Rates. Sci. J. Appl. Math. Stat. 2024, 12(1), 1-12. doi: 10.11648/j.sjams.20241201.11
AMA Style
Inyang EJ, Nafo NM, Wegbom AI, Da-Wariboko YA. ETS - ARIMA Intervention Modelling of Bangladesh Taka/Nigerian Naira Exchange Rates. Sci J Appl Math Stat. 2024;12(1):1-12. doi: 10.11648/j.sjams.20241201.11
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Download@article{10.11648/j.sjams.20241201.11,
author = {Elisha John Inyang and Ngia Matthew Nafo and Anthony Ike Wegbom and Yvonne Asikiye Da-Wariboko},
title = {ETS - ARIMA Intervention Modelling of Bangladesh Taka/Nigerian Naira Exchange Rates},
journal = {Science Journal of Applied Mathematics and Statistics},
volume = {12},
number = {1},
pages = {1-12},
doi = {10.11648/j.sjams.20241201.11},
url = {https://doi.org/10.11648/j.sjams.20241201.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjams.20241201.11},
abstract = {In real-world scenarios, numerous external events disrupt many time series, causing fluctuations in the series' mean level. When modeling such series using the traditional ARIMA model, this can result in distortions in the model's parameter estimations, the structure of the fitted model, and future value projections. Any unusual values in the series that might have arisen as a result of the special event could be adjusted using the Box-Tiao intervention modeling technique. This study investigates time series intervention modelling based on ETS and ARIMA models aimed at studying the response of the comparative value of the Bangladesh Taka to the Nigerian Naira due to the 2016 economic recession. The dataset for this study is the daily exchange rate of Bangladesh Taka to Nigerian Naira from January to December 2016. The BDT/NGN2016 exchange rates have been considered, with a step intervention being the introduction of the economic recession in June 2016. Results revealed an initial impact of 0.5217. The intervention caused a 68.49% depreciation in the value of the Naira exchanged with the Bangladesh Taka in the exchange rate market, with a decay rate of 0.6. The intervention effect was persistent, with a long-run effect of 1.2862. Hence, the intervention had a gradual start and a permanent effect.
},
year = {2024}
}
TY - JOUR T1 - ETS - ARIMA Intervention Modelling of Bangladesh Taka/Nigerian Naira Exchange Rates AU - Elisha John Inyang AU - Ngia Matthew Nafo AU - Anthony Ike Wegbom AU - Yvonne Asikiye Da-Wariboko Y1 - 2024/01/11 PY - 2024 N1 - https://doi.org/10.11648/j.sjams.20241201.11 DO - 10.11648/j.sjams.20241201.11 T2 - Science Journal of Applied Mathematics and Statistics JF - Science Journal of Applied Mathematics and Statistics JO - Science Journal of Applied Mathematics and Statistics SP - 1 EP - 12 PB - Science Publishing Group SN - 2376-9513 UR - https://doi.org/10.11648/j.sjams.20241201.11 AB - In real-world scenarios, numerous external events disrupt many time series, causing fluctuations in the series' mean level. When modeling such series using the traditional ARIMA model, this can result in distortions in the model's parameter estimations, the structure of the fitted model, and future value projections. Any unusual values in the series that might have arisen as a result of the special event could be adjusted using the Box-Tiao intervention modeling technique. This study investigates time series intervention modelling based on ETS and ARIMA models aimed at studying the response of the comparative value of the Bangladesh Taka to the Nigerian Naira due to the 2016 economic recession. The dataset for this study is the daily exchange rate of Bangladesh Taka to Nigerian Naira from January to December 2016. The BDT/NGN2016 exchange rates have been considered, with a step intervention being the introduction of the economic recession in June 2016. Results revealed an initial impact of 0.5217. The intervention caused a 68.49% depreciation in the value of the Naira exchanged with the Bangladesh Taka in the exchange rate market, with a decay rate of 0.6. The intervention effect was persistent, with a long-run effect of 1.2862. Hence, the intervention had a gradual start and a permanent effect. VL - 12 IS - 1 ER -
Department of Statistics, University of Uyo, Uyo, Nigeria
Department of Mathematics, Rivers State University, Port Harcourt, Nigeria
Department of Mathematics, Rivers State University, Port Harcourt, Nigeria
Department of Mathematics, Rivers State University, Port Harcourt, Nigeria
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