We develop an extension to the GARCHX model - named GARCHX-NL - that captures a key stylized fact for stock market return data seen during the COVID-19 pandemic: an abrupt jump in volatility at the onset of the crisis, followed by a gradual return to its precrisis level. We apply the GARCHX-NL procedure to daily data on various major stock market indexes. The profile likelihood method is used for estimation. The model decomposes the overall impact of the crisis into two measures: the initial impact, and the "half-life" of the shock. We find a strong negative association between these two measures. Moreover, countries with low initial impact but a long half-life tend to be emerging markets, while those with high initial impact and short half-life tend to be developed economies with well-established stock-markets. We attribute these differences to differences in investors' sensitivity to adverse news, and to differences in the preparedness of stock markets to absorb the effects of crises such as the COVID-19 pandemic.
Citation: Jin Zeng, Yijia Zhang, Yun Yin, Peter G Moffatt. The effect of the Covid pandemic on stock market volatility: Separating initial impact from time-to-recovery[J]. Data Science in Finance and Economics, 2024, 4(4): 531-547. doi: 10.3934/DSFE.2024022
We develop an extension to the GARCHX model - named GARCHX-NL - that captures a key stylized fact for stock market return data seen during the COVID-19 pandemic: an abrupt jump in volatility at the onset of the crisis, followed by a gradual return to its precrisis level. We apply the GARCHX-NL procedure to daily data on various major stock market indexes. The profile likelihood method is used for estimation. The model decomposes the overall impact of the crisis into two measures: the initial impact, and the "half-life" of the shock. We find a strong negative association between these two measures. Moreover, countries with low initial impact but a long half-life tend to be emerging markets, while those with high initial impact and short half-life tend to be developed economies with well-established stock-markets. We attribute these differences to differences in investors' sensitivity to adverse news, and to differences in the preparedness of stock markets to absorb the effects of crises such as the COVID-19 pandemic.
[1] | Adenomon MO, Maijamaa B, John DO (2022) The Effects of COVID-19 outbreak on the Nigerian Stock Exchange performance: Evidence from GARCH Models. J Stat Model Anal 4: 25–38. https://doi.org/10.22452/josma.vol4no1.3 doi: 10.22452/josma.vol4no1.3 |
[2] | Anggraini PG, Utami ER, Wulandari E (2022) What happens to the stock market during the COVID-19 pandemic? A systematic literature review. Pac Account Rev 34: 406–425. https://doi.org/10.1108/PAR-11-2021-0184 doi: 10.1108/PAR-11-2021-0184 |
[3] | Apergis N, Apergis E (2022) The role of Covid-19 for Chinese stock returns: Evidence from a GARCHX model. Asia-Pac J Account Econ 29: 1175–1183. https://doi.org/10.1080/16081625.2020.1816185 doi: 10.1080/16081625.2020.1816185 |
[4] | Apergis N, Rezitis A (2011) Food Price Volatility and Macroeconomic Factors: Evidence from GARCH and GARCH-X Estimates. J Agric Apppl Econ 43: 95–110. https://doi.org/10.1017/S1074070800004077 doi: 10.1017/S1074070800004077 |
[5] | Bai J (1994) Least Squares Estimation of a Shift in Linear Processes. J Time Ser Anal 15: 453–472. https://doi.org/10.1111/j.1467-9892.1994.tb00204.x doi: 10.1111/j.1467-9892.1994.tb00204.x |
[6] | Baker SR, Bloom N, Davis SJ, et al. (2020) The Unprecedented Stock Market Reaction to COVID-19. Rev Asset Pricing Stud 10: 742–758. https://doi.org/10.1093/rapstu/raaa008 doi: 10.1093/rapstu/raaa008 |
[7] | Bollerslev T (1986) Generalized autoregressive conditional heteroskedasticity. J Econometrics 31: 307–327. https://doi.org/10.1016/0304-4076(86)90063-1 doi: 10.1016/0304-4076(86)90063-1 |
[8] | Bora D, Basistha D (2021) The outbreak of COVID-19 pandemic and its impact on stock market volatility: Evidence from a worst-affected economy. J Public Aff 21: e2623. https://doi.org/10.1002/pa.2623 doi: 10.1002/pa.2623 |
[9] | Buse A (1982) The likelihood ratio, wald, and lagrange multiplier tests: An expository note. Am Stat 36: 153–157. https://doi.org/10.2307/2683166 doi: 10.2307/2683166 |
[10] | Curto JD, Serrasqueiro P (2022) The impact of COVID-19 on S & P500 sector indices and FATANG stocks volatility: An expanded APARCH model. Financ Res Lett 46: 102247. https://doi.org/10.1016/j.frl.2021.102247 doi: 10.1016/j.frl.2021.102247 |
[11] | Duttilo P, Gattone SA, Di Battista T (2021) Volatility Modeling: An Overview of Equity Markets in the Euro Area during COVID-19 Pandemic. Mathematics 9: 1212. https://doi.org/10.3390/math9111212 doi: 10.3390/math9111212 |
[12] | Golder U, Rimaly N, Shahriar A, et al. (2022). The Impact of COVID-19 on the Volatility of Bangladeshi Stock Market: Evidence from GJR-GARCH Model. J Asian Financ Econ 9: 29–38. https://doi.org/10.13106/JAFEB.2022.VOL9.NO4.0029 doi: 10.13106/JAFEB.2022.VOL9.NO4.0029 |
[13] | Gujarati DN, Porter D (2009) Basic Econometrics, Mc Graw-Hill International Edition. |
[14] | Hwang S, Satchell SE (2005) GARCH model with cross-sectional volatility: GARCHX models. Appl Financ Econ 15: 203–216. https://doi.org/10.1080/0960310042000314214 doi: 10.1080/0960310042000314214 |
[15] | Judge GG (Ed.) (1985) The Theory and Practice of Econometrics (2. ed., 7.[print.] ed.). Wiley Series in Probability and Mathematical Statistics. New York: Wiley. |
[16] | Kusumahadi TA, Permana FC (2021) Impact of COVID-19 on Global Stock Market Volatility. J Econ Integr 36: 20–45. https://doi.org/10.11130/jei.2021.36.1.20 doi: 10.11130/jei.2021.36.1.20 |
[17] | Ledwani S, Chakraborty S, Shenoy SS (2021) Spatial tale of G-7 and BRICS stock markets during COVID-19: An event study. Invest Manag Financ Innov 18: 20–36. https://doi.org/10.21511/imfi.18(2).2021.03 doi: 10.21511/imfi.18(2).2021.03 |
[18] | Onali E (2020) COVID-19 and Stock Market Volatility. SSRN Electronic J. https://doi.org/10.2139/ssrn.3571453 doi: 10.2139/ssrn.3571453 |
[19] | Poon SH, Granger CWJ (2003) Forecasting volatility in financial markets: A review. J Econ Lit 41: 478–539. https://doi.org/10.1257/002205103765762743 doi: 10.1257/002205103765762743 |
[20] | Sucarrat G, Grønneberg S, Escribano A (2016) Estimation and inference in univariate and multivariate log-GARCH-X models when the conditional density is unknown. Comput Stat Data Anal 100: 582–594. https://doi.org/10.1016/j.csda.2015.12.005 doi: 10.1016/j.csda.2015.12.005 |
[21] | Uddin M, Chowdhury A, Anderson K, et al. (2021) The effect of COVID – 19 pandemic on global stock market volatility: Can economic strength help to manage the uncertainty? J Bus Res 128: 31–44. https://doi.org/10.1016/j.jbusres.2021.01.061 doi: 10.1016/j.jbusres.2021.01.061 |
[22] | Veronesi P (1999) Stock Market Overreactions to Bad News in Good Times: A Rational Expectations Equilibrium Model. Rev Financ Stud 12: 975–1007. https://doi.org/10.1093/rfs/12.5.975 doi: 10.1093/rfs/12.5.975 |
[23] | Xing X (2004) Why does stock market volatility differ across countries? Evidence from thirty-seven international markets. Int J Bus 9: 2004. |
[24] | Yousef I (2020) Spillover of COVID-19: Impact on Stock Market Volatility. Int J Psychosoc Rehabil 24: 18069–18081. |