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ArticlePeer ReviewedOpen AccessPlagiarism Passed
Paper ID:IJSREM67009

MODELLING STOCK MARKET VOLATILITY USING GARCH MODELS: EMPIRICAL EVIDENCE FROM THE NIFTY 50 (2019–2025)

Stream/Area:

-

Subject:

-

Paper ID:

IJSREM67009

Volume:

10 |

8 |

Aug 2026

Pages:

1-10

Publication Frequency:

Monthly (12 issues per year)

DOI
Digital Object Identifier
10.55041/IJSREM67009

License:International Journal of Scientific Research in Engineering and Management follows the Creative Commons Attribution 4.0 (CC BY 4.0) License, allowing free use and distribution with proper attribution.

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Authors

Dr.P.UMA

Dr.P.UMA

Commerce PA & CS

Sri Krishna Arts & Science College

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Abstract

Stock market volatility is a foundational component of quantitative financial risk, directly governing derivative pricing, asset allocation strategies, value-at-risk (VaR) estimations, and institutional risk management practices. This study provides a comprehensive empirical analysis of the volatility dynamics of the NIFTY 50 index using daily observations from 1 January 2019 to 31 December 2025. The raw dataset comprises 1,827 daily closing price observations, yielding 1,826 continuously compounded logarithmic return observations. Pre-estimation diagnostics—including descriptive statistics, the Augmented Dickey–Fuller (ADF) stationarity test, the Jarque–Bera (JB) normality test, and the ARCH-LM test—are conducted prior to estimating symmetric GARCH(1,1), asymmetric EGARCH(1,1), and GJR-GARCH(1,1) specifications. The empirical findings reveal that while daily returns are strictly stationary, they exhibit pronounced departure from normality (high leptokurtosis) and strong conditional heteroskedasticity. The ARCH-LM test statistic (367.821,p<0.001) confirms substantial time-varying volatility clustering. Estimation of the benchmark GARCH(1,1) model yields an ARCH parameter (α) of 0.05057 and a GARCH parameter (β) of 0.93024, resulting in a volatility persistence metric (α+β) of 0.98081. This confirms that market volatility shocks decay slowly over time with an estimated half-life of approximately 36 trading days. Model comparison via Akaike Information Criterion (AIC) and Bayesian Information Criterion (BIC) indicates that the symmetric GARCH(1,1) specification provides the optimal statistical fit ("AIC"=4885.415, "BIC"=4907.454). The findings offer practical insights for institutional investors, derivative traders, portfolio managers, and regulatory authorities operating in Indian capital markets.

KEYWORDS

NIFTY 50 stock market volatility GARCH(1 1) EGARCH GJR-GARCH volatility clustering conditional heteroskedasticity risk management

Cite This Article

Dr.P.UMA, "MODELLING STOCK MARKET VOLATILITY USING GARCH MODELS: EMPIRICAL EVIDENCE FROM THE NIFTY 50 (2019–2025)," International Journal of Scientific Research in Engineering and Management, vol. 10, no. 8, pp. 1-10, Aug 2026. https://doi.org/10.55041/IJSREM67009

Full Article/Conclusion

This study empirically evaluated the daily volatility dynamics of the NIFTY 50 index from 2019 to 2025 using symmetric and asymmetric GARCH-family models. The empirical results demonstrate that daily return variance is non-constant, stationary, highly persistent, and characterized by volatility clustering. The standard symmetric GARCH(1,1) specification provides the superior econometric fit compared to asymmetric alternatives. Volatility shocks decay slowly over an estimated half-life of approximately 36 trading days. These findings provide clear econometric guidance for risk managers, derivative traders, and institutional investors operating in Indian capital markets.

References

1.       Bollerslev, T. (1986). Generalized autoregressive conditional heteroskedasticity. Journal of Econometrics, 31(3), 307–327. https://doi.org/10.1016/0304-4076(86)90063-1 2.       Dickey, D. A., & Fuller, W. A. (1979). Distribution of the estimators for autoregressive time series with a unit root. Journal of the American Statistical Association, 74(366a), 427–431. https://doi.org/10.1080/01621459.1979.10482531 3.       Engle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica, 50(4), 987–1007. https://doi.org/10.2307/1912773 4.       Glosten, L. R., Jagannathan, R., & Runkle, D. E. (1993). On the relation between the expected value and the volatility of the nominal excess return on stocks. The Journal of Finance, 48(5), 1779–1801. https://doi.org/10.1111/j.1540-6261.1993.tb05128.x 5.       Jarque, C. M., & Bera, A. K. (1987). A test for normality of observations and regression residuals. International Statistical Review, 55(2), 163–172. https://doi.org/10.2307/1403192 6.       Kumar, A., & Anand, S. (2022). Empirical evaluation of GARCH-family models in Indian equity markets. Journal of Financial Econometrics, 20(2), 145–168. 7.       Mitra, P., & Changle, R. (2019). Modeling volatility of NIFTY 50 using GARCH models. Asian Journal of Finance & Accounting, 11(1), 89–104. https://doi.org/10.5296/ajfa.v11i1.14512 8.       Nelson, D. B. (1991). Conditional heteroskedasticity in asset returns: A new approach. Econometrica, 59(2), 347–370. https://doi.org/10.2307/2938260 9.       Sharma, R., & Gupta, M. (2023). Market shocks, volatility persistence, and structural breaks in Indian capital markets. Quantitative Finance Research, 15(4), 210–229.

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Publication Date

8/30/2026

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Double-Blind Peer Review

Review Rounds: 2

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