Forecasting the Exchange Rate of the IDR Against the USD Using the ARIMA and Exponential Smoothing Models

Authors

  • ID Lulu Yostira Universitas Teknologi Sumbawa, Sumbawa, Indonesia
  • ID Mikhratunnisa Universitas Teknologi Sumbawa, Sumbawa, Indonesia

DOI:

https://doi.org/10.30812/varian.v9i1.6144

Keywords:

ARIMA, Exchange Rate, Exponential Smoothing, Forecasting, Time Series

Abstract

The exchange rate of the Rupiah against the US Dollar is one of the macroeconomic indicators that is volatile and affects economic stability. Therefore, a forecasting method that can produce accurate predictions is needed. This study aims to forecast the exchange rate of the Indonesian Rupiah against the US Dollar and compare the performance of the Autoregressive Integrated Moving average (ARIMA) and Exponential Smoothing models. The data used is monthly time series data on the exchange rate of the Indonesian Rupiah against the US Dollar from January 2001 to December 2025, obtained from the Ministry of Trade of the Republic of Indonesia. The stages of analysis in this study are data stationarity testing, determining the best ARIMA model based on parameter significance and assumption fulfillment (residuals are white noise and normally distributed), determining the best exponential smoothing model, forecasting, and evaluating the forecasting results.The results show that the best ARIMA model formed is ARIMA(3,1,3) with a MAPE value of 2.0624%, while the Exponential Smoothing model produces a MAPE value of 1.2687%. A comparison of MAPE values shows that the Exponential Smoothing model has a lower forecasting error rate than the ARIMA model. Therefore, in this study, the exponential smoothing model is considered more accurate and more suitable for forecasting the exchange rate of the rupiah against the US dollar during the research period.

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Author Biographies

  • Lulu Yostira, Universitas Teknologi Sumbawa, Sumbawa, Indonesia

    Actuarial Science student, Sumbawa University of Technology

  • Mikhratunnisa, Universitas Teknologi Sumbawa, Sumbawa, Indonesia

    Lecturer in the Actuarial Science program, Sumbawa University of Technology

References

Abdullah, K. M., Muthoharoh, L., Satria, E., Neliyana, R., Presilia, P., Khoarizmy, G. A., Muslim, A., & Safitri, I. (2025). Seasonal Forecasting of Ferry Passenger Demand for Operational Planning: Evidence from Bakauheni Port, Indonesia. International Journal of Electronics and Communications Systems, 5(2), 221–233. https://doi.org/10.24042/ijecs.v5i2.26694

Adenomon, M. O., Madu, F. O., Adenomon, M. O., & Madu, F. O. (2022, December 16). Comparison of the Out-of-Sample Forecast for Inflation Rates in Nigeria Using ARIMA and ARIMAX Models. In Time Series Analysis - New Insights. IntechOpen. https://doi.org/10.5772/intechopen.107979

Ahmar, A. S., Idrus, S. A., & Asmar, A. (2024). Analyzing Rupiah-USD Exchange Rate Dynamics: A Study with ARCH and GARCH Models. JOIV : International Journal on Informatics Visualization, 8(3–2), 1802–1809. https://doi.org/10.62527/joiv.8.3-2.3251

Amalia, S. J., Oktaviani, N., Prameswara, G. I., Prasetyo, Y. D., & Fathoni, M. Y. (2022). Perbandingan Metode Moving Average dan Exponential Smoothing pada Peramalan Nilai Tukar Rupiah terhadap Dollar AS. JURIKOM (Jurnal Riset Komputer), 9(4), 974. https://doi.org/10.30865/jurikom.v9i4.4493

Bahuguna, A., Uniyal, A., Sharma, N., & Semwal, J. (2023). Comparison of exponential smoothing and ARIMA time series models for forecasting COVID-19 cases: A secondary data analysis. International Journal of Research in Medical Sciences, 11(5), 1727–1734. https://doi.org/10.18203/2320-6012.ijrms20231344

Box, G. E. P., Jenkins, G. M., & Reinsel, G. C. (2008). Time series analysis: Forecasting and control (4th ed). John Wiley.

Dimas, B. (2022). Prediction of Rupiah Currency Value Against Dollar with ARIMA Model. ZERO: Jurnal Sains, Matematika dan Terapan, 5(2). https://doi.org/10.30829/zero.v5i2.11101

Erkekoglu, H., Garang, A. P. M., & Deng, A. S. (2020). Comparative Evaluation of Forecast Accuracies for ARIMA, Exponential Smoothing and VAR. International Journal of Economics and Financial Issues, 10(6), 206–216. https://doi.org/10.32479/ijefi.9020

Hutagalung, G., & Nasution, H. (2022). Implementation of the Double Exponential Smoothing (DES) Method to Forecet the Consumer Price Index (CPI) in Medan City. ZERO: Jurnal Sains, Matematika dan Terapan, 6(1), 32. https://doi.org/10.30829/zero.v6i1.12455

Hyndman, R. J., & Athanasopoulos, G. (2021). Forecasting: Principles and practice (Third edition). OTexts.

Ibrahim, A., Sani, U. M., & Olokojo, V. O. (2023). Forecasting Consumer Price Index and Exchange Rate Using Arima Models: Empirical Evidence from Nigeria. Fudma Journal of Sciences, 6(6), 114–124. https://doi.org/10.33003/fjs-2022-0606-1136

Juraphanthong, W., & Kesorn, K. (2025). Autoregressive integrated moving average with semantic information: An efficient technique for intelligent prediction of dengue cases. Engineering Applications of Artificial Intelligence, 143, 109985. https://doi.org/10.1016/j.engappai.2024.109985

Liu, P. (2022). Time Series Forecasting Based on ARIMA and LSTM. https://doi.org/10.2991/aebmr.k.220603.195

Muslimin B, Afak, R. R., & Racmadhani, B. (2024). Forecasting USD to IDR Exchange Rates Using Prophet Time-Series Model. Jurnal Sistem Informasi dan Komputer Terapan Indonesia (JSIKTI), 6(4), 205–214. https://doi.org/10.33173/jsikti.237

Nugraha, R. I., & Agussalim, A. (2024). Time Series Analysis for Electricity Demand Forecasting: A Comparative Study of ARIMA and Exponential Smoothing Models in Indonesia. Information Technology International Journal, 2(2), 78–88. https://doi.org/10.33005/itij.v2i2.23

Prakoso, R. D. (2025, April 7). Bank Indonesia Memperkuat Langkah Stabilisasi Nilai Tukar dari Dampak Tekanan Global. Bank Indonesia. https://www.bi.go.id/id/publikasi/ruang-media/news-release/Pages/sp_277125.aspx

Pratiwi, W. A., Sumertajaya, I. M., & Notodiputro, K. A. (2025). Stacking Ensemble RNN-LSTM Models for Forecasting the IDR/USD Exchange Rate with Nonlinear Volatility. Jurnal Teknik Informatika (Jutif), 6(4), 2331–2347. https://doi.org/10.52436/1.jutif.2025.6.4.5057

Pujiharta, P., Darma, Y. D., Wiyanti, N. R., & Gunawan, A. (2022). Comparative Analysis of Arima Model and Exponential Smoothing in Predicting Inventory in Automotive Companies. Budapest International Research and Critics Institute-Journal (BIRCI-Journal), 5(1), 1056–1065. https://doi.org/10.33258/birci.v5i1.3707

Saputera, D., Wijaya, J. H., & Muttaqin, R. (2023). The Impact of Exchange Rate Changes on Indonesian Exports. International Journal of Economics (IJEC), 2(2), 592–604. https://doi.org/10.55299/ijec.v2i2.571

Sathyanarayana, S., & Mohanasundaram, T. (2025). Stationarity and Unit Roots in Time Series: Theoretical Insights and Practical Considerations. IRA-International Journal of Management & Social Sciences, 21(2), 46. https://doi.org/10.21013/jmss.v21.n2.p1

Septiarini, T. W., Kharis, S. A. A., Jayanegara, A., & Abdulmana, S. (2025). Comparison of ARIMA, Exponential Smoothing, and Chen-Singh Fuzzy Models for Inflation Forecasting in Asean Countries. BAREKENG: Jurnal Ilmu Matematika dan Terapan, 20(1), 0619–0636. https://doi.org/10.30598/barekengvol20iss1pp0619-0636

Sinu, E. B., Kleden, M. A., & Atti, A. (2024). Application of ARIMA Model for Forecasting National Economic Growth: A Focus on Gross Domestic Product Data. BAREKENG: Jurnal Ilmu Matematika dan Terapan, 18(2), 1261–1272. https://doi.org/10.30598/barekengvol18iss2pp1261-1272

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Published

2026-02-28

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Articles

How to Cite

[1]
“Forecasting the Exchange Rate of the IDR Against the USD Using the ARIMA and Exponential Smoothing Models”, JV, vol. 9, no. 1, pp. 101–114, Feb. 2026, doi: 10.30812/varian.v9i1.6144.