Investigating Volatility Persistence and Leverage Effect in Sectoral Indices of NSE: An Evaluation Using GARCH Models

Authors

DOI:

https://doi.org/10.14419/dxmp1372

Published

03-12-2025

Keywords:

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.

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.

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

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