Forecasting Daily Ethereum Closing Price: An Autoregressive Integrated Moving Average (ARIMA) Approach

Authors

  • Samuel O. Oboh Department of Statistics, Federal University Wukari, Wukari, Taraba State Author
  • Boniface Dondo Department of Statistics, Federal University Wukari, Wukari, Taraba State Author
  • Bassa, S. Yakura Department of General Studies Education, Federal College of Education, Yola, Nigeria Author
  • Gambo I. Bature Department of Mathematics, Federal University Wukari, Nigeria Author

DOI:

https://doi.org/10.62054/ijdm/0302.09

Abstract

Ethereum, a leading digital asset by market value, has gained increasing attention from investors and researchers because of its high price volatility and market unpredictability. This study forecasts Ethereum cryptocurrency daily closing prices using the Box-Jenkins Autoregressive Integrated Moving Average (ARIMA) methodology, drawing on data from January 1, 2019, to December 31, 2025. Stationarity analysis via the Augmented Dickey-Fuller ADF and Kwiatkowski–Phillips–Schmidt–Shin (KPSS) tests confirmed that first differencing was required to render the series suitable for the modeling. Through systematic model identification, estimation, and comparison of ten candidate ARIMA specifications, the ARIMA(1,1,0) model emerged as the optimal fit, yielding the lowest information criterion values of Akaike information criterion, Bayesian information criterion  (AIC = 24,943.883; AICc = 24,943.84; BIC = 24,955.12). Residual diagnostic tests, including the Ljung-Box test for serial correlation, the  Autoregressive Conditional Heteroskedasticity (ARCH-LM) test for heteroscedasticity, and the Shapiro-Wilk test for normality, confirmed that the model residuals are free of serial dependence, although they exhibit time-varying volatility and non-normal distribution, features commonly associated with financial time series. The fitted model was subsequently applied to generate 30-day ahead forecasts with 95% confidence intervals, revealing relatively stable price expectations in the near term alongside progressively widening prediction bands that reflect growing uncertainty over longer horizons. These findings underscore the practical utility of the parsimonious ARIMA(1,1,0) model as a transparent and accessible tool for short-term Ethereum-price forecasting and investment risk assessment.

References

Allen, F., & Carletti, E. (2010). An overview of the crisis: Causes, consequences, and solutions. International Review of Finance, 10(1), 1-26.

Barber, S., Boyen, X., Shi, E., & Uzun, E. (2012). Bitter to better—how to make Bitcoin a better currency. Lecture Notes in Computer Science, 7397, 399-414.

Bordo, M. D., & Siklos, P. L. (2017). Central banks: Evolution and innovation in historical perspective. Journal of Economic Issues, 51(2), 425-432.

Bouri, E., Lucey, B., & Roubaud, D. (2019). The volatility of Bitcoin and its role as a safe haven. Economics Letters, 173, 105-108.

Caglar, G., & Merih, L. (2021). Ethereum price analysis and prediction with RNN based models. Journal of Emerging Computer Technologies, 1(2), 1-8.

Carmassi, J., Gros, D., & Micossi, S. (2009). The global financial crisis: Causes and cures. Journal of Common Market Studies, 47(5), 977-996.

Cukierman, A. (2013). Monetary policy and institutions before, during, and after the global financial crisis. Journal of Financial Stability, 9(3), 373-384.

Hileman, G., & Rauchs, M. (2017). Global cryptocurrency benchmarking study. Cambridge Centre for Alternative Finance, University of Cambridge.

Jethin, S., Purohit, A., & Pendse, D. (2018). Predicting cryptocurrency prices using Twitter data and Google Trends. International Journal of Computer Applications, 181(23), 1-5.

Kjaerland, F., Meland, M., Oust, A., & Øyen, V. (2018). How can Bitcoin price fluctuations be explained? International Journal of Economics and Financial Issues, 8(3), 323-332.

Lee, D. K. C., Yan, L., & Wang, Y. (2021). A global perspective on central bank digital currency. China Economic Journal, 14(1), 52-66.

Liu, Y., & Tsyvinski, A. (2018). Risks and returns of cryptocurrency. National Bureau of Economic Research Working Paper, No. 24877.

Mahir, H., Rahman, A., & Hossain, M. (2021). Bitcoin price forecasting using ARIMA, FBProphet, and XG Boosting techniques. Journal of Computer Science and Engineering, 9(2), 45-52.

Mohammad, A., Alhajj, R., & Ridley, M. (2022). Ethereum price prediction using ARIMA and LSTM models. International Journal of Financial Studies, 10(3), 1-15.

Monish, S., Kumar, A., & Singh, P. (2022). Ethereum price forecasting using RNN, LSTM and Bi-LSTM models. Journal of Advanced Research in Dynamical and Control Systems, 14(3), 234-241.

Pinar, M., Stengos, T., & Yazgan, M. E. (2020). Long memory and volatility dynamics in the cryptocurrency market. Journal of Risk and Financial Management, 13(4), 70-88.

Tapscott, D., & Tapscott, A. (2016). Blockchain revolution: How the technology behind Bitcoin is changing money, business, and the world. Portfolio/Penguin.

Vasily, S., Ivan, S., & Dmitry, G. (2019). Short-term forecasting of cryptocurrency prices using machine learning. Procedia Computer Science, 155, 468-475.

Ziyang, L. (2023). Cryptocurrency price prediction based on ARMA model: A case study of Bitcoin, Ethereum and Ripple. Highlights in Business, Economics and Management, 8, 234-241.

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Published

2026-06-12

How to Cite

Forecasting Daily Ethereum Closing Price: An Autoregressive Integrated Moving Average (ARIMA) Approach. (2026). International Journal of Development Mathematics (IJDM), 3(2), 140-139. https://doi.org/10.62054/ijdm/0302.09