Paper title:

Leveraging on Artificial Neural Networks and State Space Models for Volatility Estimation

Published in: Issue 2, (Vol. 19) / 2025
Publishing date: 2025-11-04
Pages: 28-36
Author(s): BASIRA Kisswell, DHLIWAYO Lawrence, MAPUWEI Tichaona Wilbert, BHEKA Belinda, MATARISE Florance
Abstract. Volatility estimation plays a crucial role in financial modelling, risk management, and derivative pricing. Traditional approaches, such as GARCH models and stochastic volatility frameworks, often face limitations in capturing nonlinear patterns and adapting to changing market dynamics. This study explores a hybrid methodology that integrates artificial neural networks (ANNs) with state space models (SSMs) to enhance the accuracy and adaptability of volatility estimation. By leveraging the data-driven learning capacity of ANNs and the structured temporal modelling of SSMs, the proposed framework captures both nonlinear dependencies and latent volatility dynamics. Empirical evaluation is conducted on daily lithium price data from 2017 to 2024, comparing four models: GARCH, ANN, SSM, and the hybrid ANN–SSM. The findings show that the hybrid ANN–SSM model achieves the lowest error metrics (RMSE = 0.0068; MAE = 0.0048) and better information criteria scores, outperforming GARCH (RMSE = 0.9171), ANN (RMSE = 2.8625), and SSM (RMSE = 1.8010). While GARCH remains robust in modelling volatility clustering and persistence, and ANN captures nonlinear regime shifts, both struggle with structural breaks and extreme volatility spikes. The hybrid ANN–SSM successfully balances accuracy, robustness, and interpretability, offering a more reliable framework for volatility estimation in complex and rapidly evolving financial markets. This research underwrites to the budding convergence of artificial intelligence and statistics, presenting hybrid models as a powerful alternative to conventional volatility modelling.
Keywords: Volatility, Latent State, Artificial Neural Networks, State Space Models, Lithium Financial Data
References:

[1]. Rakshit, D. (2022). Volatility modelling using machine learning techniques: A review. Journal of Risk and Financial Management, 15(2), 55–72. https://d0i.org/10.3390/jrfm15020055.

[2]. Ryll, L., & Seidens, P. (2019). Forecasting financial market volatility: A comparison of GARCH models. Financial Markets and Portfolio Management, 33(4), 443–466. https://doi.org/10.1007.s11408-019-00344-9.

[3]. Tsay, R. S. (2013). An introduction to analysis of financial data with R. John Wiley & Sons.

[4]. Timmer, J., & Weigend, A. (1997a). State-space models for volatility and financial time series. Springer.

[5]. Bhowmik, R., & Wang, S. (2020). Understanding financial market volatility: A review of literature. Journal of Risk and Financial Management, 13(11), 277. https://doi.org/10.3390/jrfm13110277.

[6]. Engle, R. F. (1982). Autoregressive conditional heteroskedasticity with estimates of the variance of United Kingdom inflation. Econometrica, 50(4), 987–1007. https://doi.org/10.2307/1912773.

[7]. Bollerslev, T. (1986a). Generalized autoregressive conditional heteroskedasticity. Journal of Econometrics, 31(3), 307–327. https://doi.org/10.1016/0304-4076(86)90063-1.

[8]. Machuku, B. (2022a). Application of artificial intelligence in financial forecasting. International Journal of AI and Data Science, 5(1), 35–48.

[9]. Nair, B. B., & Prakash, S. (2018). Financial time series forecasting using artificial neural networks. Procedia Computer Science, 143, 781–788. https://doi.org/10.1016/j.procs.2018.10.431.

[10]. Hamid, S. A., & Iqbal, Z. (2002a). Using neural networks for forecasting volatility of S&P 500 index futures prices. Journal of Business Research, 55(1), 1–13. https://doi.org/10.1016/S0148-2963(00)00194-6.

[11]. Dash, R. P. A., & Sahoo, L. (2018). Application of artificial intelligence in engineering and data science. International Journal of Engineering Research and Applications, 8(2), 65–70.

[12]. Gordon, M. (2019). Evaluating GARCH and artificial neural networks in volatility forecasting. Journal of Computational Finance, 22(3), 89–105.

[13]. Zanga, T., & Obeyd, L. (2024). The role of AI in predicting market volatility: A state-space perspective. Journal of Financial Engineering and AI, 4(1), 12–27.

[14]. Harrilall, U. (2014). Artificial intelligence in technical analysis: A financial market perspective. Global Journal of Finance and Economics, 11(2), 91–102.

[15]. Mapuwei, T. W., Bodhlyera, O., & Mwambi, H. (2020). Univariate time series analysis of short term forecasting horizons using artificial neural networks: The case of public ambulance emergency preparedness. Journal of Applied Mathematics, 2020, Article 2408698. https://doi.org/10.1155/2020/2408698.

[16]. Hamilton, J. D. (1994). State-space models. In R. F. Engle & D. L. McFadden (Eds.), Handbook of econometrics (Vol. 4, pp. 3039–3080). Elsevier.

[17]. Andersen, T. G., Bollerslev, T., Diebold, F. X., & Labys, P. (2001). The distribution of realized exchange rate volatility. Journal of the American Statistical Association, 96(453), 42–55. https://doi.org/10.1198/016214591750332965.

[18]. Tsay, R. S. (2010). Analysis of financial time series (3rd ed.). John Wiley & Sons.

[19]. Little, R. J. A., & Rubin, D. B. (2002). Statistical analysis with missing data (2nd ed.). John Wiley & Sons.

[20]. Dickey, D. A., & Fuller, W. A. (1979). Distribution of the estimators for autoregressive time series with a unit root. Journal of the American Statistical Association, 74(366), 427–431. https://doi.org/10.1080/01621459.1979.10482531.

[21]. Chatfield, C. (2013). The analysis of time series: Theory and practice. Springer.

[22]. Goodfellow, I., Bengio, Y., & Courville, A. (2016). Deep learning. MIT Press.

[23]. Durbin, J., & Koopman, S. J. (2012). Time series analysis by state space methods (2nd ed.). Oxford University Press.

[24]. LeCun, Y., Bengio, Y., & Hinton, G. (2015). Deep learning. Nature, 521(7553), 436–444. https://doi.org/10.1038/nature14539.

[25]. Tsay, R. S. (2005). Analysis of financial time series (2nd ed.). John Wiley & Sons.

[26]. Zanga, T., & Obeyd, L. (2024). The role of AI in predicting market volatility: A state-space perspective. Journal of Financial Engineering and AI, 4(1), 12–27.

[27]. Kitagawa, G., & Gersch, W. (1996). Smoothness priors analysis of time series (Vol. 116). Springer Science & Business Media.

[28]. Basira, K., Dhliwayo, L., Chinhamu, K., Chifurira, R., & Matarise, F. (2024). Estimation and prediction of commodity returns using long-memory volatility models. Risks, 14(5), 73. https://doi.org/10.3390/risks14050073.

Back to the journal content
Creative Commons License
This article is licensed under a
Creative Commons Attribution-ShareAlike 4.0 International License.
Home | Editorial Board | Author info | Archive | Contact
Copyright JACSM 2007-2025