Forecasting the Stock Market Returns Using nonlinear hybrid GARCH-SETAR model

An Empirical Study of the Pakistani Stock Markets

Authors

DOI:

https://doi.org/10.31384/jisrmsse/2024.22.1.2

Keywords:

Stock returns, KSE-30, KMI-30, KSE-100, forecast performance, proposed hybrid model

Abstract

Forecasting stock market returns is a valuable tool for investors seeking to enhance their gains in stock trading. Predicting stock prices proves to be a formidable endeavor due to its substantial volatility, non-linear characteristics trends, and responsiveness to multifaceted variables, including economic conditions, market trends, seasonality, and sentiment. Despite these complexities, non-linear methodologies like threshold time series and conditional heteroscedasticity models are underutilized. This study aims to assess the predictive capabilities of a hybrid GARCH-SETAR model in the context of stock market returns, encompassing both Islamic and conventional stocks listed on the Pakistan Stock Exchange. The Islamic and conventional stock markets in Pakistan represented by KMI-30, KSE-30 and KSE-100 selected contain daily data from January, 2012 till June, 2023. After the confirmation of stationarity, ARCH effect and non-linearity by ADF, PP unit root, ARCH-LM and BDS test respectively the best estimated linear traditional Box-Jenkins ARIMA, non-linear threshold SETAR and ARIMA-GARCH models are selected based on AIC and BIC information criteria’s. The best proposed hybrid GARCH-SETAR model is also selected based on AIC and BIC information criteria’s. It is revealed that the one-step-ahead recursive forecast performance proposed hybrid GARCH-SETAR model outperforms all other selected linear and non-linear models for both Islamic and conventional stock markets based on RMSE, MAE, MAPE and SMAPE forecast evaluation criteria’s.

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References

Aamir, M., Ali, H., Khalil, U., & Bilal, M. (2020). Comparative analysis of alternative time series models in forecasting Karachi stock exchange. Ilkogretim Online, 19(4), 7981-8002.

Agyarko, K., Frempong, N. K., & Wiah, E. N. (2023). Hybrid model for stock market volatility. Journal of Probability and Statistics, 2023. DOI: https://doi.org/10.1155/2023/6124649

Ardia, D., Bluteau, K., Boudt, K., & Catania, L. (2018). Forecasting risk with Markov-switching GARCH models: A large-scale performance study. International Journal of Forecasting, 34(4), 733-747. DOI: https://doi.org/10.1016/j.ijforecast.2018.05.004

Batool, K., Ahmed, M. F., & Ismail, M. A. (2022). A hybrid model of machine learning model and econometrics’ model to predict volatility of KSE-100 Index. Reviews of Management Sciences, 4(1), 225-239. DOI: https://doi.org/10.53909/rms.04.01.0125

Bildirici, M., Şahin Onat, I., & Ersin, Ö. Ö. (2023). Forecasting BDI Sea Freight Shipment Cost, VIX Investor Sentiment and MSCI Global Stock Market Indicator Indices: LSTAR-GARCH and LSTAR-APGARCH Models. Mathematics, 11(5), 1242. DOI: https://doi.org/10.3390/math11051242

Bollerslev, T. (1986). Generalized autoregressive conditional heteroskedasticity. Journal of econometrics, 31(3), 307-327. DOI: https://doi.org/10.1016/0304-4076(86)90063-1

Devi, N. C. (2018). Evaluating the Forecasting Performance of Symmetric and Asymmetric GARCH Models across Stock Markets: Stock Market Returns and Macroeconomic Variables. Global Journal of Management and Business Research: B Economics and Commerce, 18(2), 21-31.

Engle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica: Journal of the econometric society, 987-1007. DOI: https://doi.org/10.2307/1912773

Daily data of Islamic and conventional stock market indices namely KMI-30, KSE-30 and KSE-100 of PSX has been taken from investing (2023, June). The data starts from January 1, 2012, and ends on June 30, 2023. http://www.investing.com

Fathian, F., Fard, A. F., Ouarda, T. B., Dinpashoh, Y., & Nadoushani, S. M. (2019). Modeling streamflow time series using nonlinear SETAR-GARCH models. Journal of Hydrology, 573, 82-97. DOI: https://doi.org/10.1016/j.jhydrol.2019.03.072

Fraz, T. R., Fatima, S., & Uddin, M. (2022). Modeling and forecasting stock market volatility of CPEC founding countries: using nonlinear time series and machine learning models. JISR management and social sciences & economics, 20(1), 1-20. DOI: https://doi.org/10.31384/jisrmsse/2022.20.1.1

Fraz, T. R., Fatima, S., & Uddin, M. (2022). Evaluating the forecast performance of Spline-GARCH model for stock market volatility: A comparative study of GARCH family models. Indian Journal of Economics and Business, 21(2), 31-42.

Fraz, T. R., Iqbal, J., & Uddin, M. (2020). How well do linear and nonlinear time series models’ forecasts compete with international economic organizations?. Business & Economic Review, 12(3), 23-70.

Grachev, O. Y. (2017). Application of time series models (ARIMA, GARCH, and ARMA-GARCH) for stock market forecasting.

Guidolin, M., Hyde, S., McMillan, D., & Ono, S. (2009). Non-linear predictability in stock and bond returns: When and where is it exploitable?. International Journal of Forecasting, 25(2), 373-399. DOI: https://doi.org/10.1016/j.ijforecast.2009.01.002

Guo, T., Song, S., & Ma, W. (2021). Point and interval forecasting of groundwater depth using nonlinear models. Water Resources Research, 57(12), e2021WR030209. DOI: https://doi.org/10.1029/2021WR030209

Hamadu, D., & Ibiwoye, A. (2010). Modelling and forecasting the volatility of the daily returns of Nigerian insurance stocks. International Business Research, 3(2), 106-116. DOI: https://doi.org/10.5539/ibr.v3n2p106

Hamida, H. B. H., & Scalera, F. (2019). Threshold mean reversion and regime changes of cryptocurrencies using SETAR-MSGARCH models. International Journal of Academic Research in Accounting, Finance and Management Sciences, 9(3), 221-229. DOI: https://doi.org/10.6007/IJARAFMS/v9-i3/6365

Lin, Z. (2018). Modelling and forecasting the stock market volatility of SSE Composite Index using GARCH models. Future Generation Computer Systems, 79, 960-972. DOI: https://doi.org/10.1016/j.future.2017.08.033

Mademlis, D. K., & Dritsakis, N. (2021). Volatility forecasting using hybrid GARCH neural network models: the case of the Italian stock market. International Journal of Economics and Financial Issues, 11(1), 49. DOI: https://doi.org/10.32479/ijefi.10842

Mallikarjuna, M., & Rao, R. P. (2019). Evaluation of forecasting methods from selected stock market returns. Financial Innovation, 5(1), 40. DOI: https://doi.org/10.1186/s40854-019-0157-x

Midiliç, M. (2020). Estimation of STAR–GARCH Models with Iteratively Weighted Least Squares. Computational Economics, 55(1), 87-117. DOI: https://doi.org/10.1007/s10614-018-9876-8

Mubarik, F., & Javid, A. Y. (2016). Modeling and evaluating forecasting of market index volatility: Evidence from Pakistani stock market. NUML International Journal of Business & Management, 11(2), 81-100.

Mustapa, F. H., & Ismail, M. T. (2019, November). Modelling and forecasting S&P 500 stock prices using hybrid Arima-Garch Model. In Journal of Physics: Conference Series (Vol. 1366, No. 1, p. 012130). IOP Publishing. DOI: https://doi.org/10.1088/1742-6596/1366/1/012130

Naik, N., & Mohan, B. R. (2021). Stock Price Volatility Estimation Using Regime Switching Technique-Empirical Study on the Indian Stock Market. Mathematics, 9(14), 1595. DOI: https://doi.org/10.3390/math9141595

Omar, A. B., Huang, S., Salameh, A. A., Khurram, H., & Fareed, M. (2022). Stock market forecasting using the random forest and deep neural network models before and during the COVID-19 period. Frontiers in Environmental Science, 10, 917047. DOI: https://doi.org/10.3389/fenvs.2022.917047

Opoku, E. E. O., Ibrahim, M., & Sare, Y. A. (2019). Foreign direct investment, sectoral effects and economic growth in Africa. International Economic Journal, 33(3), 473-492. DOI: https://doi.org/10.1080/10168737.2019.1613440

Rizwan, A., & Khursheed, A. (2018). Forecasting islamic stock market volatility: an empirical evidence from Pakistan economy. UCP Management Review (UCPMR), 2(1), 17-38. DOI: https://doi.org/10.24312/ucpmr020102

Selmi, N., Chaabene, S., & Hachicha, N. (2015). Forecasting returns on a stock market using Artificial Neural Networks and GARCH family models: Evidence of stock market S & P 500. Decision Science Letters, 4(2), 203-210. DOI: https://doi.org/10.5267/j.dsl.2014.12.002

Siu, T. K., & Elliott, R. J. (2021). Bitcoin option pricing with a SETAR-GARCH model. The European Journal of Finance, 27(6), 564-595. DOI: https://doi.org/10.1080/1351847X.2020.1828962

Siva Kiran Guptha, K., & Prabhakar Rao, R. (2018). The causal relationship between financial development and economic growth: an experience with BRICS economies. Journal of Social and Economic Development, 20(2), 308-326. DOI: https://doi.org/10.1007/s40847-018-0071-5

Wong, W., Xu, L., & Yip, F. (1998). Financial prediction by finite mixture GARCH model.

Zaffar, A., & Hussain, S. A. (2022). Modeling and prediction of KSE–100 index closing based on news sentiments: an applications of machine learning model and ARMA (p, q) model. Multimedia Tools and Applications, 81(23), 33311-33333. DOI: https://doi.org/10.1007/s11042-022-13052-2

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Published

2024-03-31

How to Cite

Fraz, T. R. (2024). Forecasting the Stock Market Returns Using nonlinear hybrid GARCH-SETAR model: An Empirical Study of the Pakistani Stock Markets. JISR Management and Social Sciences & Economics, 22(1), 31–50. https://doi.org/10.31384/jisrmsse/2024.22.1.2