Investigating Volatility Persistence and Leverage Effect in Sectoral Indices of NSE: An Evaluation Using GARCH Models
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https://doi.org/10.14419/dxmp1372
Received date: September 15, 2025
Accepted date: November 18, 2025
Published date: December 3, 2025
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GARCH Models; Sectoral indices; Volatility; Volatility Persistence; Volatility Asymmetry; Leverage Effect -
Abstract
Investors in the stock market always try to maximise their profit with a minimum risk. Identifying volatility in the stock market will help investors reduce their risk and create a healthy portfolio. A detailed analysis of volatility in the sectoral indices directs investors to the sector's strengths and weaknesses.
This study aims to investigate volatility in sectoral indices of the NSE using GARCH (1,1), GARCH in Mean, and EGARCH Models. Daily closing prices of 11 major sectoral indices, spanning from January 1, 2014, to June 30, 2025, are used for this study. The presence of the ARCH effect with the returns is proved for all sectoral indices using the ARCH-LM test. Our results proved that volatility persistence is present in all sectoral indices. The GARCH-in-Mean model suggests that the increased volatility in the Metal industry and the Nifty PSU Bank sector has the potential to generate high returns. The EGARCH model confirms that the leverage effect is present in all sectoral indices, indicating that bad news has a greater impact on volatility than positive news.
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References
- Adegboyo, O. S., & Sarwar, K. (2025). Modelling and forecasting of the Nigerian stock market volatility. Future Business Journal, 11(1), 124. https://doi.org/10.1186/s43093-025-00536-4.
- Alberg, D., Shalit, H., & Yosef, R. (2008). Estimating stock market volatility using asymmetric GARCH models. Applied Financial Economics, 18(15), 1201–1208. https://doi.org/10.1080/09603100701604225.
- Babu, M., & Hariharan, C. (2014). Efficiency of Indian Sectoral Indices: An Empirical Study with Special Reference to National Stock Exchange India Ltd. Asia-Pacific Finance and Accounting Review, 2(1/2), 87.
- Bae, J., Kim, C., & Nelson, C. R. (2006). Why are stock returns and volatility negatively correlated? Journal of Empirical Finance, 14(1), 41-58. https://doi.org/10.1016/j.jempfin.2006.04.005.
- Baker, M., & Wurgler, J. (2007). Investor sentiment in the stock market. Journal of Economic Perspectives, 21(2), 129–151. https://doi.org/10.1257/jep.21.2.129.
- Black, F. (1986). Noise. The journal of finance, 41(3), 528–543. https://doi.org/10.1111/j.1540-6261.1986.tb04513.x.
- Bollerslev, T. (1986). Generalized autoregressive conditional heteroskedasticity. Journal of Econometrics, 31(3), 307-327. https://doi.org/10.1016/0304-4076(86)90063-1
- Choudhry, T. (1996). Stock market volatility and the crash of 1987: evidence from six emerging markets. Journal of International Money and Finance,vol. 15(6), 969-98. https://ideas.repec.org/a/eee/jimfin/v15y1996i6p969-981.html. https://doi.org/10.1016/S0261-5606(96)00036-8.
- Connolly, R., Stivers, C., & Sun, L. (2005). Stock market uncertainty and the stock-bond return relation. Journal of Financial and Quantitative Analysis, 40(1), 161–194. https://doi.org/10.1017/S0022109000001782.
- Debasish, S. S. (2002). Volatility Study and Test of Market Efficiency in Selected Indices of BSE & NSE. Paradigm, 6(2), 39–51. https://doi.org/10.1177/0971890720020204
- De Long, J. B., Shleifer, A., Summers, L. H., & Waldmann, R. J. (1989). The size and incidence of the losses from noise trading. The journal of finance, 44(3), 681–696. https://doi.org/10.1111/j.1540-6261.1989.tb04385.x.
- Dungore, P. P., & Patel, S. H. (2021). Analysis of volatility volume and open interest for nifty index futures using GARCH analysis and VAR model. International Journal of Financial Studies, 9(1), 1–11. https://doi.org/10.3390/ijfs9010007.
- Engle, R. F. (1982). Autoregressive Conditional Heteroscedasticity with Estimates of The Variance of United Kingdom INFLATION. Econometrica (Vol. 50, Issue 4). https://doi.org/10.2307/1912773
- Engle, R. F., Lilien, D. M., & Robins, R. P. (1987). Estimating time varying risk premia in the term structure: The ARCH-M model. Econometrica: Journal of the Econometric Society, 391– 407. https://doi.org/10.2307/1913242
- Fama, E. F. (1965). The Behavior of Stock-Market Prices. In Source: The Journal of Business (Vol. 38, Issue 1). https://www.jstor.org/stable/2350752. https://doi.org/10.1086/294743.
- Fama, E. F. (1970). Efficient capital markets: A review of theory and empirical work. The Journal of Finance, 25(2), 383–417. https://doi.org/10.2307/2325486
- French, K. R. (1980). Stock returns and the weekend effect. Journal of financial economics, 8(1), 55–69. https://doi.org/10.1016/0304-405X(80)90021-5.
- Karmakar, M. (2007). Asymmetric Volatility and Risk-return Relationship in the Indian Stock Market. South Asia Economic Journal. https://doi.org/10.1177/139156140600800106
- Khan, M. N., Fifield, S. G., & Power, D. M. (2024). The impact of the COVID 19 pandemic on stock market volatility: evidence from a selection of developed and emerging stock markets. SN Business & Economics, 4(6), 63. https://doi.org/10.1007/s43546-024-00659-w.
- Khera, A., Goyal, A., & Yadav, M. P. (2022). Capturing the stock market volatility: a study of sectoral indices in India using symmetric GARCH models. International Journal of Management Practice, 15(6), 820–833. https://doi.org/10.1504/IJMP.2022.126536.
- Kumar, H., & Jawa, R. (2017). Efficient market hypothesis and calendar effects: Empirical evidences from the Indian stock markets. Business Analyst, 37(2), 145-160. https://ssrn.com/abstract=2981633.
- Kumar, D., & Maheswaran, S. (2012). Modelling asymmetry and persistence under the impact of sudden changes in the volatility of the Indian stock market. IIMB Management Review, 24(3), 123–136. https://doi.org/10.1016/j.iimb.2012.04.006
- Kumar, S., & Sharma, D. (2025). Unveiling risk-return dynamics: volatility persistence and leverage effects in the Indian banking sector through symmetric and asymmetric GARCH models. IIM Ranchi journal of management studies, 1-26. https://doi.org/10.1108/IRJMS-11-2024-0140.
- Kumari, J., & Mahakud, J. (2015). Does investor sentiment predict the asset volatility? Evidence from emerging stock market India. Journal of Behavioral and Experimental Finance,8,25–39. https://doi.org/10.1016/j.jbef.2015.10.001.
- Lee, C. M., Shleifer, A., & Thaler, R. H. (1991). Investor sentiment and the closed‐end fund puzzle. The journal of finance,46(1),75-109. https://doi.org/10.1111/j.1540-6261.1991.tb03746.x.
- Mallikarjuna, M., & Rao, R. P. (2017). Volatility Behaviour in selected Sectoral Indices of Indian Stock Markets. Asian Journal of Research in Banking and Finance, 7(2), 23. https://doi.org/10.5958/2249-7323.2017.00005.0
- Mu, X. (2025). Linear Empirical Analysis of the Impact of Market Volatility on Investment Return. Finance & Economics, 1(2). https://doi.org/10.61173/fy6j1d25.
- Nelson, D. B. (1991). Conditional heteroskedasticity in asset returns: A new approach. Econometrica: Journal of the econometric society,347–370. https://doi.org/10.2307/2938260
- Padhi, P. (2006). Persistence and Asymmetry Volatility in Indian Stock Market. Journal of Quantitative Economics, 4, 103–113. https://doi.org/10.1007/BF03546451
- Poon, S., & Taylor, S. J. (1992). Stock returns and volatility: An empirical study of the UK stock market. Journal of Banking & Finance, 16(1), 37–59. https://doi.org/10.1016/0378-4266(92)90077-D.
- Sen, J., Mehtab, S., & Dutta, A. (2021). Volatility modeling of stocks from selected sectors of the Indian economy using GARCH. In 2021 Asian Conference on Innovation in Technology (ASIANCON) (pp. 1-9). IEEE. https://doi.org/10.1109/ASIANCON51346.2021.9544977.
- Shiller, R. J., Friedman, B., Friend, I., Grossman, S., Leroy, S., Ross, S., & Siegel, J. (1981). Do Stock Prices Move Too Much to be Justified by Subsequent Changes in Dividends? https://doi.org/10.3386/w0456.
- Shleifer, A., & Summers, L. H. (1990). The noise trader approach to finance. Journal of Economic perspectives, 4 (2), 19– 33. https://www.jstor.org/stable/1942888. https://doi.org/10.1257/jep.4.2.19
- Singh, K., & Kumar, V. (2020). Dynamic linkage between nifty-fifty and sectorial indices of national stock exchange. American Journal of Economics and Business Management, 3(2),17–27. https://www.researchgate.net/publication/347361317_Dynamic_linkage_between_nifty-fifty_and_sectorial_indices_of_national_stock_exchange. https://doi.org/10.31150/ajebm.v3i2.148.
- Singh, S., & Tripathi, L. K. (2016). Modelling stock market return volatility: Evidence from India. Research Journal of Finance and Accounting, 7(13), 93-101. https://papers.ssrn.com/sol3/papers.cfm?abstract_id=2862870.
- Sudhakar, A., & Viswanadh, P. S. (2018). Volatility of select sectoral indices of Indian stock market: a study. Indian Journal of Accounting, 50(2). https://indianaccounting.org/img/journals/IJA-Dec-2018.pdf#page=11.
- Summers, L. H. (1986). Does the stock market rationally reflect fundamental values?. The Journal of Finance,41(3),591–601. https://doi.org/10.1111/j.1540-6261.1986.tb04519.x.
- Vasudevan, R. D., & Vetrivel, S. C. (2016). Forecasting Stock Market Volatility using GARCH Models: Evidence from the Indian Stock Market. Asian Journal of Research in Social Sciences and Humanities, 6(8), 1565. https://doi.org/10.5958/2249-7315.2016.00694.8
- Verma, R., & Verma, P. (2007). Noise trading and stock market volatility. Journal of Multinational Financial Management, 17(3), 231–243. https://doi.org/10.1016/j.mulfin.2006.10.003.
- Vevek, S., Selvam, M., & Sivaprakkash, S. (2022). The persistence of volatility in nifty 50. Indian Journal of Research in Capital Markets, 9(2-3), 8-18. https://doi.org/10.17010/ijrcm/2022/v9i2-3/172549.
- Yang, T. (2025). Volatility characteristics of stock markets during the US-China trade war. International Review of Economics & Finance, 102, 104335. https://doi.org/10.1016/j.iref.2025.104335.
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How to Cite
Abraham, L. ., & Kurian, D. V. G. . (2025). Investigating Volatility Persistence and Leverage Effect in Sectoral Indices of NSE: An Evaluation Using GARCH Models. International Journal of Accounting and Economics Studies, 12(8), 9-17. https://doi.org/10.14419/dxmp1372
