Thai Baht and Chinese Yuan Exchange Rate Forecasting Models: ARIMA and SMA-ARIMA Comparison

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Saowapa Chaipitak, Boonyarit Choopradit

Abstract

This study evaluates the effectiveness of classical Autoregressive Integrated Moving Average (ARIMA) models and kth Simple Moving Average - ARIMA (kth SMA-ARIMA) models in forecasting the exchange rate between the Thai Baht (THB) and the Chinese Yuan (CNY). The analysis uses a dataset of historical monthly exchange rates from January 2011 to November 2022, covering 143 months. The dataset is divided into two segments: the initial 127 months are used as the training dataset for model development, while the subsequent 16 months serve as the testing dataset to evaluate forecast accuracy. The Akaike Information Criterion (AIC) is the decision criterion for model selection during the development phase. The forecasting models' effectiveness is subsequently assessed on the testing dataset using two statistical measures: the Mean Absolute Percentage Error (MAPE) and the Root Mean Square Error (RMSE). The findings indicate that the classical ARIMA (0,1,1) model outperforms the kth SMA-ARIMA models in this study, exhibiting the lowest RMSE and MAPE of 0.1702 and 2.6644, respectively. Additionally, a focused comparison of the kth SMA-ARIMA models for k = 2, 3, and 4 reveals that the 2nd SMA-ARIMA (0,1,2) model demonstrates superior performance compared to the 3rd and 4th SMA-ARIMA models. This superiority is reflected in their respective RMSE values of 0.3202, 0.5146, and 0.6339, and corresponding MAPE values of 5.3533, 8.7531, and 10.4949. These results provide valuable insights for decision-makers in the financial sector, enhancing investment strategy formulation based on anticipated currency movements.

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References

  1. F.C. Maria, D. Eva, Exchange-Rates Forecasting: Exponential Smoothing Techniques and Arima Models, Ann. Faculty Econ. 1 (2011), 499–508.
  2. M.M. Panda, S.N. Panda, P.K. Pattnaik, Forecasting Foreign Currency Exchange Rate using Convolutional Neural Network, Int. J. Adv. Comput. Sci. Appl. 13 (2022), 607-616. https://doi.org/10.14569/IJACSA.2022.0130272.
  3. E. Karakostas, The Significance of the Exchange Rates: A Survey of the Literature, Mod. Econ. 12 (2021), 1628–1647. https://doi.org/10.4236/me.2021.1211082.
  4. Ministry of Commerce, Summary of Exports/Imports/Balance of Trade, https://tradereport.moc.go.th.
  5. Bank of Thailand, Exchange Rate, https://www.bot.or.th/en/statistics/exchange-rate.html.
  6. M.K. Evans, ed., Practical Business Forecasting, 1st ed., Wiley, 2003. https://doi.org/10.1002/9780470755624.
  7. R.A. Meese, K. Rogoff, Empirical Exchange Rate Models of the Seventies, J. Int. Econ. 14 (1983), 3–24. https://doi.org/10.1016/0022-1996(83)90017-x.
  8. Y.W. Cheung, M.D. Chinn, A.G. Pascual, Y. Zhang, Exchange Rate Prediction Redux: New Models, New Data, New Currencies, J. Int. Money Finance 95 (2019), 332–362. https://doi.org/10.1016/j.jimonfin.2018.03.010.
  9. C. Engel, D. Lee, C. Liu, C. Liu, S.P.Y. Wu, The Uncovered Interest Parity Puzzle, Exchange Rate Forecasting, and Taylor Rules, J. Int. Money Finance 95 (2019), 317–331. https://doi.org/10.1016/j.jimonfin.2018.03.008.
  10. M. Ismail, N.Z. Jubley, Z.Mohd. Ali, Forecasting Malaysian Foreign Exchange Rate Using Artificial Neural Network and ARIMA Time Series, AIP Conf. Proc. 2013 (2018), 020022. https://doi.org/10.1063/1.5054221.
  11. M. Markova, Foreign Exchange Rate Forecasting by Artificial Neural Networks, AIP Conf. Proc. 2164 (2019), 060010. https://doi.org/10.1063/1.5130812.
  12. M. Vochozka, J. Horák, P. Šuleř, Equalizing Seasonal Time Series Using Artificial Neural Networks in Predicting the Euro–Yuan Exchange Rate, J. Risk Financial Manag. 12 (2019), 76. https://doi.org/10.3390/jrfm12020076.
  13. P. Escudero, W. Alcocer, J. Paredes, Recurrent Neural Networks and ARIMA Models for Euro/Dollar Exchange Rate Forecasting, Appl. Sci. 11 (2021), 5658. https://doi.org/10.3390/app11125658.
  14. G.E. Box, G.M. Jenkins, G.C. Reinsel, Time Series Analysis: Forecasting and Control, 3rd Edition, Upper Saddle River, New Jersey, Prentice Hall, 1994.
  15. S. Chaipitak, Time Series Analysis ARIMA Model for Prediction of Thailand’s Monthly Average Cassava Starch Domestic Price, Adv. Appl. Stat. 63(2020), 191–205. https://doi.org/10.17654/AS063020191.
  16. S.G. Gocheva-Ilieva, A.V. Ivanov, D.S. Voynikova, D.T. Boyadzhiev, Time Series Analysis and Forecasting for Air Pollution in Small Urban Area: An SARIMA and Factor Analysis Approach, Stoch. Environ. Res. Risk Assess. 28 (2013), 1045–1060. https://doi.org/10.1007/s00477-013-0800-4.
  17. H.A. Mombeni, S. Rezaei, S. Nadarajah, M. Emami, Estimation of Water Demand in Iran Based on SARIMA Models, Environ. Model. Assess. 18 (2013), 559–565. https://doi.org/10.1007/s10666-013-9364-4.
  18. D.A. Dickey, W.A. Fuller, Distribution of the Estimators for Autoregressive Time Series With a Unit Root, J. Amer. Stat. Assoc. 74 (1979), 427-431. https://doi.org/10.2307/2286348.
  19. J.B. Brockwell, R.A. Davis, Introduction to Time Series and Forecasting, Springer-Verlag, New York, 2002.
  20. G.M. Ljung, G.E.P. Box, On a Measure of Lack of Fit in Time Series Models, Biometrika 65 (1978), 297–303. https://doi.org/10.1093/biomet/65.2.297.
  21. C.P. Tsokos, K-th Moving, Weighted and Exponential Moving Average for Time Series Forecasting Models, Eur. J. Pure Appl. Math. 3 (2010), 406–416.
  22. S.H. Shih, C.P. Tsokos, A Weighted Moving Average Process for Forecasting, J. Mod. App. Stat. Meth. 7 (2008), 187–197. https://doi.org/10.22237/jmasm/1209615240.
  23. R. Yagoub, H. Eledum, Modeling of the COVID-19 Cases in Gulf Cooperation Council Countries Using ARIMA and MA-ARIMA Models, J. Prob. Stat. 2021 (2021), 1623441. https://doi.org/10.1155/2021/1623441.
  24. H. Akaike, A New Look at the Statistical Model Identification, IEEE Trans. Automat. Contr. 19 (1974), 716–723. https://doi.org/10.1109/tac.1974.1100705.
  25. J.E. Hanke, D.W. Wichern, Business Forecasting, 9th Edition, Pearson, New Jersey, 2009.
  26. K. Ramadani, D. Devianto, The Forecasting Model of Bitcoin Price with Fuzzy Time Series Markov Chain and Chen Logical Method, AIP Conf. Proc. 2296 (2020), 020095. https://doi.org/10.1063/5.0032178.