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Metaheuristic Optimization Review

ISSN
Online: 3066-280X
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Semi-annual (January, June)

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Open access journal. All articles are freely available online with no APC.

Metaheuristic Optimization Review
Full Length Article

Volume 6Issue 1PP: 2 9– 39 • 2026

Enhanced Stock Price Forecasting: Time Series Analysis with ARIMA and FGGO Optimization

Laith Farhan 1* ,
Raad S. Alhumaima
1School of Engineering, Manchester Metropolitan University, Manchester, M1, UK
2Brunel University, Uxbridge UB8 3PH, U.K
* Corresponding Author.
Received: January 28, 2026 Revised: March 15, 2026 Accepted: May 12, 2026

Abstract

Forecasting financial markets remains a persistent challenge due to the nonlinear, stochastic, and nonstationary nature of stock price dynamics. This study is motivated by the need to enhance the robustness and adaptability of traditional statistical forecasting models through intelligent optimization. We propose an advanced hybrid framework that integrates the AutoRegressive Integrated Moving Average (ARIMA) model with the Fitness Greylag Goose Optimization (FGGO) algorithm—a refined metaheuristic inspired by collective behavioral intelligence and adaptive search strategies. The primary contribution of this research lies in the methodological fusion of classical time series modeling with dynamic metaheuristic optimization to improve predictive accuracy, convergence stability, and resistance to local optima. Comparative experiments on the historical stock prices of PT Bank Central Asia Tbk (BBCA.JK) demonstrate a substantial performance uplift: the baseline ARIMA model achieved a Mean Squared Error (MSE) of 0.0333, whereas the FGGO-optimized ARIMA reduced the MSE dramatically to 0.0038, outperforming other optimization techniques such as the Genetic Algorithm (GA), Whale Optimization Algorithm (WOA), and Particle Swarm Optimization (PSO). These results confirm that FGGO significantly enhances ARIMA’s capacity to capture intricate temporal dependencies and volatile market structures. The implications of this study extend beyond finance, offering a scalable, explainable, and high performance optimization paradigm for diverse time series forecasting applications in economics, engineering, and intelligent decision-support systems.

Keywords

Financial Time Series Forecasting AutoRegressive Integrated Moving Average (ARIMA) Fitness Greylag Goose Optimization (FGGO) Metaheuristic Optimization Hybrid Predictive Modeling

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Farhan, Laith, Alhumaima, Raad S.. "Enhanced Stock Price Forecasting: Time Series Analysis with ARIMA and FGGO Optimization." Metaheuristic Optimization Review, vol. Volume 6, no. Issue 1, 2026, pp. 2 9– 39. DOI: https://doi.org/10.54216/MOR.060103
Farhan, L., Alhumaima, R. (2026). Enhanced Stock Price Forecasting: Time Series Analysis with ARIMA and FGGO Optimization. Metaheuristic Optimization Review, Volume 6(Issue 1), 2 9– 39. DOI: https://doi.org/10.54216/MOR.060103
Farhan, Laith, Alhumaima, Raad S.. "Enhanced Stock Price Forecasting: Time Series Analysis with ARIMA and FGGO Optimization." Metaheuristic Optimization Review Volume 6, no. Issue 1 (2026): 2 9– 39. DOI: https://doi.org/10.54216/MOR.060103
Farhan, L., Alhumaima, R. (2026) 'Enhanced Stock Price Forecasting: Time Series Analysis with ARIMA and FGGO Optimization', Metaheuristic Optimization Review, Volume 6(Issue 1), pp. 2 9– 39. DOI: https://doi.org/10.54216/MOR.060103
Farhan L, Alhumaima R. Enhanced Stock Price Forecasting: Time Series Analysis with ARIMA and FGGO Optimization. Metaheuristic Optimization Review. 2026;Volume 6(Issue 1):2 9– 39. DOI: https://doi.org/10.54216/MOR.060103
L. Farhan, R. Alhumaima, "Enhanced Stock Price Forecasting: Time Series Analysis with ARIMA and FGGO Optimization," Metaheuristic Optimization Review, vol. Volume 6, no. Issue 1, pp. 2 9– 39, 2026. DOI: https://doi.org/10.54216/MOR.060103
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