Hybrid Model for Stock Market Volatility

Empirical evidence suggests that the traditional GARCH-type models are unable to accurately estimate the volatility of financial markets. To improve on the accuracy of the traditional GARCH-type models, a hybrid model (BSGARCH (1, 1)) that combines the flexibility of B-splines with the GARCH (1, 1)...

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Main Authors: Kofi Agyarko, Nana Kena Frempong, Eric Neebo Wiah
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2023/6124649
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author Kofi Agyarko
Nana Kena Frempong
Eric Neebo Wiah
author_facet Kofi Agyarko
Nana Kena Frempong
Eric Neebo Wiah
author_sort Kofi Agyarko
collection DOAJ
description Empirical evidence suggests that the traditional GARCH-type models are unable to accurately estimate the volatility of financial markets. To improve on the accuracy of the traditional GARCH-type models, a hybrid model (BSGARCH (1, 1)) that combines the flexibility of B-splines with the GARCH (1, 1) model has been proposed in the study. The lagged residuals from the GARCH (1, 1) model are fitted with a B-spline estimator and added to the results produced from the GARCH (1, 1) model. The proposed BSGARCH (1, 1) model was applied to simulated data and two real financial time series data (NASDAQ 100 and S&P 500). The outcome was then compared to the outcomes of the GARCH (1, 1), EGARCH (1, 1), GJR-GARCH (1, 1), and APARCH (1, 1) with different error distributions (ED) using the mean absolute percentage error (MAPE), the root mean square error (RMSE), Theil’s inequality coefficient (TIC) and QLIKE. It was concluded that the proposed BSGARCH (1, 1) model outperforms the traditional GARCH-type models that were considered in the study based on the performance metrics, and thus, it can be used for estimating volatility of stock markets.
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spelling doaj-art-0cc01b405007421ab81767201a59916a2025-02-03T01:29:28ZengWileyJournal of Probability and Statistics1687-95382023-01-01202310.1155/2023/6124649Hybrid Model for Stock Market VolatilityKofi Agyarko0Nana Kena Frempong1Eric Neebo Wiah2Department of Mathematical SciencesKwame Nkrumah University of Science and TechnologyDepartment of Mathematical SciencesEmpirical evidence suggests that the traditional GARCH-type models are unable to accurately estimate the volatility of financial markets. To improve on the accuracy of the traditional GARCH-type models, a hybrid model (BSGARCH (1, 1)) that combines the flexibility of B-splines with the GARCH (1, 1) model has been proposed in the study. The lagged residuals from the GARCH (1, 1) model are fitted with a B-spline estimator and added to the results produced from the GARCH (1, 1) model. The proposed BSGARCH (1, 1) model was applied to simulated data and two real financial time series data (NASDAQ 100 and S&P 500). The outcome was then compared to the outcomes of the GARCH (1, 1), EGARCH (1, 1), GJR-GARCH (1, 1), and APARCH (1, 1) with different error distributions (ED) using the mean absolute percentage error (MAPE), the root mean square error (RMSE), Theil’s inequality coefficient (TIC) and QLIKE. It was concluded that the proposed BSGARCH (1, 1) model outperforms the traditional GARCH-type models that were considered in the study based on the performance metrics, and thus, it can be used for estimating volatility of stock markets.http://dx.doi.org/10.1155/2023/6124649
spellingShingle Kofi Agyarko
Nana Kena Frempong
Eric Neebo Wiah
Hybrid Model for Stock Market Volatility
Journal of Probability and Statistics
title Hybrid Model for Stock Market Volatility
title_full Hybrid Model for Stock Market Volatility
title_fullStr Hybrid Model for Stock Market Volatility
title_full_unstemmed Hybrid Model for Stock Market Volatility
title_short Hybrid Model for Stock Market Volatility
title_sort hybrid model for stock market volatility
url http://dx.doi.org/10.1155/2023/6124649
work_keys_str_mv AT kofiagyarko hybridmodelforstockmarketvolatility
AT nanakenafrempong hybridmodelforstockmarketvolatility
AT ericneebowiah hybridmodelforstockmarketvolatility