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HyperVIX: A GWO‐Optimized ARIMA‐LSTM Hybrid Model for CBOE Volatility Index (VIX) Forecasting

Author

Listed:
  • Ran Wu
  • Abdullahi D. Ahmed
  • Mohammad Zoynul Abedin
  • Hongjun Zeng

Abstract

This paper introduced HyperVIX, a novel hybrid framework that integrates ARIMA modeling, LSTM neural networks, and Gray Wolf Optimizer (GWO) to forecast the Chicago Board Options Exchange (CBOE) Volatility Index (VIX). Using a multilayered approach, HyperVIX first employs ARIMA to capture linear time series patterns, followed by LSTM networks that model the residuals to identify complex nonlinear relationships. The GWO algorithm optimizes the LSTM hyperparameters, enhancing the framework's ability to capture Volatility Index (VIX)'s intricate dynamics. Empirical analysis demonstrates that HyperVIX significantly outperforms both traditional and contemporary financial forecasting models in terms of accuracy and robustness. Compared to single models, HyperVIX achieves approximately 15%, 12%, and 10% improvements in root mean square error (RMSE), mean absolute error (MAE), and mean absolute percentage error (MAPE) metrics respectively, with the R2 value increasing by about 5%. Notably, the model exhibits exceptional performance during extreme market volatility periods, making it particularly valuable for risk management applications. This research contributes to the literature by providing an innovative and effective method for VIX forecasting while offering valuable insights for financial market volatility analysis and investment strategy optimization.

Suggested Citation

  • Ran Wu & Abdullahi D. Ahmed & Mohammad Zoynul Abedin & Hongjun Zeng, 2026. "HyperVIX: A GWO‐Optimized ARIMA‐LSTM Hybrid Model for CBOE Volatility Index (VIX) Forecasting," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 45(1), pages 272-292, January.
  • Handle: RePEc:wly:jforec:v:45:y:2026:i:1:p:272-292
    DOI: 10.1002/for.70037
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    References listed on IDEAS

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    1. Li, Li & Kang, Yanfei & Li, Feng, 2023. "Bayesian forecast combination using time-varying features," International Journal of Forecasting, Elsevier, vol. 39(3), pages 1287-1302.
    2. Zhiyuan Pan & Yudong Wang & Li Liu & Qing Wang, 2019. "Improving volatility prediction and option valuation using VIX information: A volatility spillover GARCH model," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 39(6), pages 744-776, June.
    3. Barbara Rossi, 2021. "Forecasting in the Presence of Instabilities: How We Know Whether Models Predict Well and How to Improve Them," Journal of Economic Literature, American Economic Association, vol. 59(4), pages 1135-1190, December.
    4. Tumala, Mohammed M. & Salisu, Afees & Nmadu, Yaaba B., 2023. "Climate change and fossil fuel prices: A GARCH-MIDAS analysis," Energy Economics, Elsevier, vol. 124(C).
    5. Abedin, Mohammad Zoynul & Goldstein, Michael A. & Huang, Qingcheng & Zeng, Hongjun, 2024. "Forward-looking disclosure effects on stock liquidity in China: Evidence from MD&A text analysis," International Review of Financial Analysis, Elsevier, vol. 95(PB).
    6. Peter F. Christoffersen & Francis X. Diebold, 2000. "How Relevant is Volatility Forecasting for Financial Risk Management?," The Review of Economics and Statistics, MIT Press, vol. 82(1), pages 12-22, February.
    7. Zeng, Hongjun & Abedin, Mohammad Zoynul & Upreti, Vineet, 2024. "Does climate risk as barometers for specific clean energy indices? Insights from quartiles and time-frequency perspective," Energy Economics, Elsevier, vol. 140(C).
    8. Peter Reinhard Hansen & Zhuo Huang & Chen Tong & Tianyi Wang, 2024. "Realized GARCH, CBOE VIX, and the Volatility Risk Premium," Journal of Financial Econometrics, Oxford University Press, vol. 22(1), pages 187-223.
    9. Shihao Gu & Bryan Kelly & Dacheng Xiu, 2020. "Empirical Asset Pricing via Machine Learning," Review of Finance, European Finance Association, vol. 33(5), pages 2223-2273.
    10. Pai, Ping-Feng & Lin, Chih-Sheng, 2005. "A hybrid ARIMA and support vector machines model in stock price forecasting," Omega, Elsevier, vol. 33(6), pages 497-505, December.
    11. Hyndman, Rob J. & Koehler, Anne B., 2006. "Another look at measures of forecast accuracy," International Journal of Forecasting, Elsevier, vol. 22(4), pages 679-688.
    12. Shihao Gu & Bryan Kelly & Dacheng Xiu, 2020. "Empirical Asset Pricing via Machine Learning," The Review of Financial Studies, Society for Financial Studies, vol. 33(5), pages 2223-2273.
    13. Fischer, Thomas & Krauss, Christopher, 2018. "Deep learning with long short-term memory networks for financial market predictions," European Journal of Operational Research, Elsevier, vol. 270(2), pages 654-669.
    14. John Y. Campbell, 2007. "Estimating the Equity Premium," NBER Working Papers 13423, National Bureau of Economic Research, Inc.
    15. Ser-Huang Poon & Clive W.J. Granger, 2003. "Forecasting Volatility in Financial Markets: A Review," Journal of Economic Literature, American Economic Association, vol. 41(2), pages 478-539, June.
    16. Wu, Ran, 2025. "Forecasting the European Union allowance price tail risk with the integrated deep belief and mixture density networks," Chaos, Solitons & Fractals, Elsevier, vol. 199(P2).
    17. Torben G. Andersen & Tim Bollerslev & Francis X. Diebold & Paul Labys, 2003. "Modeling and Forecasting Realized Volatility," Econometrica, Econometric Society, vol. 71(2), pages 579-625, March.
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