| Literature DB >> 35431668 |
Xiaoling Yu1, Kaitian Xiao2,3, Junping Liu4.
Abstract
In this study, we constructed two pandemic anxiety indexes based on an assumption that people's emotions fluctuate with the COVID-19 reported cases and deaths, to examine the dynamic co-movements between these anxiety indexes and the stock markets in the BRICS and G7 countries. We found that the anxiety indexes are volatile over time but have an overall downtown trend. The correlations between stock market returns and the epidemic anxiety indexes are time varying. We found a common feature across the countries studied, namely that the correlation becomes weaker and has smaller fluctuations after the announcement of the mRNA-based COVID-19 vaccine.Entities:
Keywords: COVID-19; Co-movement; DCC–GARCH; Pandemic anxiety index; Stock market
Year: 2021 PMID: 35431668 PMCID: PMC8994442 DOI: 10.1016/j.frl.2021.102219
Source DB: PubMed Journal: Financ Res Lett ISSN: 1544-6131
List of selected stock index series of BRICS and G7 countries.
| Country | Stock index | Country | Stock index |
| Brazil | BOVESPA Index | England | FTSE 250 Index |
| Russian | RTS Index (US Dollar) | Canada | S&P/TSX Composite Index |
| India | Bombay Stock Exchange 100 Index | Italy | FTSE Italia STAR Index |
| China | Shanghai Composite Stock Index | Germany | DAX Index |
| South Africa | FTSE All Share Index | France | CAC 40 Index |
| United States | Dow Jones Composite Average Index | Japan | TSE TOPIX 1st Section Index |
Notes: This table reports details on stock market index chosen for each country. Notably, although the S&P 500 index is used in most studies of the United States stock market for its more comprehension, we find the correlation coefficient between the Dow Jones Composite Average Index and the S&P 500 index is 0.9909 during our sample period (March 19, 2020 to January 29, 2021) while 0.9490 for the same period prior to the sample period (May 8,2019 to March 18, 2020). It indicates that the two stock indexes are highly consistent during the COVID-19 pandemic and it is suitable to select the Dow Jones Composite Average Index for this study here.
Fig. 1Trends in daily stock index value for the BRICS and G7countries.
Fig. 6Daily stock market returns for the BRICS and G7countries.
Fig. 2Trends in the daily COVID-19 reported cases and deaths for the BRICS and G7 countries. Note: Reported cases are plotted on the left axis (blue line), and reported deaths are plotted on the right axis (red line).
Fig. 3Trends in the two daily COVID-19 anxiety indexes for the BRICS and G7 countries. Note: The pandemic AI is plotted on the left axis, and the pandemic RAI is plotted on the right axis.
Descriptive statistics of stock return and pandemic anxiety index for BRICS and G7 countries.
| During Sample period | Pre-sample period | |||||||||
| Mean | Median | Min | Max | Std. | Skew. | Kurt. | Skew. | Kurt. | ||
| Stock return | ||||||||||
| Brazil | 0.2306 | 0.1293 | −5.6664 | 9.2485 | 1.8935 | 0.4720 | 6.0987 | −2.5057 | 22.7264 | |
| Russian | 0.1839 | 0.2161 | −7.9258 | 8.8251 | 1.9762 | −0.0588 | 5.9989 | −2.4055 | 17.5197 | |
| India | 0.2215 | 0.3204 | −13.8810 | 5.8879 | 1.6903 | −2.3655 | 24.3050 | −1.9678 | 16.1304 | |
| China | 0.1123 | 0.1050 | −4.6026 | 5.5543 | 1.0922 | 0.0883 | 7.2201 | −0.4307 | 5.1083 | |
| South Africa | 0.2204 | 0.2212 | −5.1063 | 7.2615 | 1.4794 | 0.5719 | 6.7628 | −3.4867 | 21.3255 | |
| United States | 0.1769 | 0.1672 | −6.7783 | 10.8260 | 1.7333 | 1.0140 | 11.7140 | −2.4479 | 22.5630 | |
| England | 0.2015 | 0.1209 | −4.6780 | 8.0388 | 1.6153 | 0.7004 | 6.6000 | −3.2589 | 21.1077 | |
| Canada | 0.1566 | 0.2079 | −5.4026 | 11.2940 | 1.4527 | 1.4838 | 19.6610 | −3.6370 | 33.0477 | |
| Italy | 0.2161 | 0.2176 | −3.8867 | 3.9050 | 1.0679 | −0.1372 | 4.7785 | −3.7974 | 32.7978 | |
| Germany | 0.1968 | 0.0707 | −4.5711 | 10.4140 | 1.7498 | 0.7763 | 8.5238 | −3.8798 | 28.1049 | |
| France | 0.1490 | 0.0921 | −4.8205 | 8.0561 | 1.7008 | 0.6589 | 6.5039 | −3.8884 | 27.4339 | |
| Japan | 0.1519 | 0.0616 | −3.7737 | 6.6398 | 1.2075 | 0.8203 | 7.1936 | −1.6338 | 9.8920 | |
| Daily COVID-19 Anxiety Index (AI) | ||||||||||
| Brazil | 0.5571 | 0.5216 | 0.2527 | 1.0000 | 0.1349 | 1.2141 | 5.0612 | |||
| Russian | 0.5607 | 0.5259 | 0.3967 | 1.0000 | 0.1266 | 2.0970 | 6.8727 | |||
| India | 0.5562 | 0.5380 | 0.0000 | 1.0000 | 0.1416 | 0.9748 | 5.0925 | |||
| China | 0.4742 | 0.4156 | 0.0000 | 0.9643 | 0.2555 | 0.2459 | 1.8762 | |||
| South Africa | 0.5674 | 0.5736 | 0.0000 | 1.0000 | 0.1603 | −0.2035 | 3.7881 | |||
| United States | 0.5465 | 0.5213 | 0.0000 | 2.0600 | 0.1680 | 3.7563 | 32.5130 | |||
| England | 0.5405 | 0.5141 | 0.2055 | 0.9762 | 0.1562 | 0.6731 | 3.1817 | |||
| Canada | 0.5387 | 0.5295 | 0.0000 | 1.0000 | 0.1653 | 0.4055 | 4.4302 | |||
| Italy | 0.5054 | 0.4798 | −0.3434 | 0.8933 | 0.1536 | −0.4706 | 6.5596 | |||
| Germany | 0.5369 | 0.5328 | 0.2130 | 0.9918 | 0.1570 | 0.5192 | 3.2505 | |||
| France | 0.5265 | 0.5296 | 0.0000 | 1.3427 | 0.1971 | 0.1902 | 4.3378 | |||
| Japan | 0.5429 | 0.5531 | 0.1507 | 1.0000 | 0.1524 | 0.1030 | 3.1991 | |||
| Daily COVID-19 Rolling Anxiety Index (RAI) | ||||||||||
| Brazil | 1.0292 | 1.0061 | 0.9358 | 3.3321 | 0.1607 | 13.1400 | 188.1800 | |||
| Russian | 1.0158 | 1.0070 | 0.5661 | 1.5667 | 0.0852 | 0.3685 | 19.3940 | |||
| India | 1.0225 | 1.0109 | 0.9102 | 1.5477 | 0.0636 | 3.9264 | 26.1480 | |||
| China | 1.0306 | 0.9759 | 0.2053 | 26.8480 | 1.7399 | 14.5490 | 216.4300 | |||
| South Africa | 1.0175 | 1.0207 | 0.5000 | 2.0143 | 0.1033 | 2.8759 | 45.0370 | |||
| United States | 1.0224 | 1.0049 | 0.9483 | 2.0443 | 0.0963 | 7.3353 | 67.9960 | |||
| England | 1.0172 | 1.0043 | 0.9183 | 1.3107 | 0.0590 | 2.0571 | 9.6010 | |||
| Canada | 1.0180 | 1.0096 | 0.8853 | 1.7613 | 0.0763 | 5.0125 | 44.4820 | |||
| Italy | 1.0050 | 0.9967 | 0.9249 | 1.1374 | 0.0423 | 0.7462 | 3.3914 | |||
| Germany | 1.0214 | 1.0090 | 0.9065 | 2.5194 | 0.1148 | 10.0130 | 129.6000 | |||
| France | 1.0130 | 1.0089 | 0.7682 | 1.3583 | 0.0681 | 0.8155 | 7.6105 | |||
| Japan | 1.0162 | 1.0163 | 0.8661 | 1.4263 | 0.0548 | 1.8706 | 16.5610 | |||
Notes:This table shows descriptive statistics of stock market returns and pandemic anxiety indexes for the BRICS and G7 countries. In order to observe whether the skewness and kurtosis of the stock returns have changed from the pre-pandemic period, we also report the skewness and kurtosis for the same period prior to our sample in the right part of this table. Our sample period spans from March 20, 2020 to January 29, 2021 while the benchmarked pre-sample period covers May 9,2019 to March 19, 2020, whereby including 226 trading dates for each period. As shown in this table, the stock returns, except for India, are more skewed and have fatter tails during the pandemic than under “normal” times in all cases. The COVID-19 AI and RAI are shown in Eqs. (1) and (2), respectively. We calculated daily anxiety indexes from March 20, 2020 to January 29, 2021, using data from Monday to Friday each week to match stock trading dates.
Results of stationarity and ARCH tests.
| Brazil | Russian | India | China | South Africa | United | England | Canada | Italy | Germany | France | Japan | |
| ADF test | ||||||||||||
| r | −11.174⁎⁎⁎ | −10.824⁎⁎⁎ | −13.004⁎⁎⁎ | −9.8768⁎⁎⁎ | −9.7788⁎⁎⁎ | −10.299⁎⁎⁎ | −9.5583⁎⁎⁎ | −13.215⁎⁎⁎ | −9.0987⁎⁎⁎ | −9.716⁎⁎⁎ | −9.7338⁎⁎⁎ | −9.1193⁎⁎⁎ |
| (0.001) | (0.001) | (0.001) | (0.001) | (0.001) | (0.001) | (0.001) | (0.001) | (0.001) | (0.001) | (0.001) | (0.001) | |
| AI | −0.8311 | −0.5901 | −1.0958 | −1.8092 | −1.4892 | −1.9458⁎⁎ | −1.6024 | −1.5509 | −1.3854 | −1.6225* | −1.7251* | −1.2233 |
| (0.3466) | (0.4349) | (0.2497) | (0.0671) | (0.1277) | (0.0496) | (0.1029) | (0.114) | (0.1542) | (0.0987) | (0.0801) | (0.2031) | |
| RAI | −0.8781 | 0.0015 | −1.422 | −7.314⁎⁎⁎ | −0.4518 | −2.1701⁎⁎ | −0.8082 | −0.8131 | −0.6521 | −1.0579 | −0.6577 | −0.3339 |
| (0.3294) | (0.6515) | (0.1445) | (0.001) | (0.4855) | (0.0292) | (0.355) | (0.3533) | (0.4122) | (0.2636) | (0.4101) | (0.5287) | |
| −18.164⁎⁎⁎ | −18.642⁎⁎⁎ | −18.92⁎⁎⁎ | −17.905⁎⁎⁎ | −17.999⁎⁎⁎ | −16.665⁎⁎⁎ | −16.233⁎⁎⁎ | −18.728⁎⁎⁎ | −17.379⁎⁎⁎ | −16.288⁎⁎⁎ | −16.618⁎⁎⁎ | −16.266⁎⁎⁎ | |
| (0.001) | (0.001) | (0.001) | (0.001) | (0.001) | (0.001) | (0.001) | (0.001) | (0.001) | (0.001) | (0.001) | (0.001) | |
| −16.818⁎⁎⁎ | −13.381⁎⁎⁎ | −22.11⁎⁎⁎ | −13.234⁎⁎⁎ | −20.111⁎⁎⁎ | −17.046⁎⁎⁎ | −17.69⁎⁎⁎ | −21.313⁎⁎⁎ | −17.407⁎⁎⁎ | −15.522⁎⁎⁎ | −18.066⁎⁎⁎ | −14.801⁎⁎⁎ | |
| (0.001) | (0.001) | (0.001) | (0.001) | (0.001) | (0.001) | (0.001) | (0.001) | (0.001) | (0.001) | (0.001) | (0.001) | |
| −32.284⁎⁎⁎ | −11.181⁎⁎⁎ | −20.663⁎⁎⁎ | −18.203⁎⁎⁎ | −18.253⁎⁎⁎ | −18.066⁎⁎⁎ | −17.51⁎⁎⁎ | −24.974⁎⁎⁎ | −18.24⁎⁎⁎ | −19.736⁎⁎⁎ | −17.495⁎⁎⁎ | −15.648⁎⁎⁎ | |
| (0.001) | (0.001) | (0.001) | (0.001) | (0.001) | (0.001) | (0.001) | (0.001) | (0.001) | (0.001) | (0.001) | (0.001) | |
| ARCH test | ||||||||||||
| r | 62.9430⁎⁎⁎ | 2.7316* | 6.8791⁎⁎⁎ | 0.4201 | 97.5740⁎⁎⁎ | 3.1322* | 32.4630⁎⁎⁎ | 24.1930⁎⁎⁎ | 0.2188 | 0.0092 | 5.1058⁎⁎ | 10.9080⁎⁎⁎ |
| (0.0000) | (0.0984) | (0.0087) | (0.5169) | (0.0000) | (0.0768) | (0.0000) | (0.0000) | (0.6400) | (0.9236) | (0.0238) | (0.0010) | |
| AI | 76.1870⁎⁎⁎ | 164.430⁎⁎⁎ | 167.480⁎⁎⁎ | 115.830⁎⁎⁎ | 29.066⁎⁎⁎ | 12.294⁎⁎⁎ | 178.380⁎⁎⁎ | 33.859⁎⁎⁎ | 177.980⁎⁎⁎ | 153.580⁎⁎⁎ | 30.763⁎⁎⁎ | 42.162⁎⁎⁎ |
| (0.0000) | (0.0000) | (0.0000) | (0.0000) | (0.0000) | (0.0005) | (0.0000) | (0.0000) | (0.0000) | (0.0000) | (0.0000) | (0.0000) | |
| RAI | 0.0004 | 80.839⁎⁎⁎ | 52.788⁎⁎⁎ | 0.0045 | 24.600⁎⁎⁎ | 79.410⁎⁎⁎ | 160.820⁎⁎⁎ | 8.0837⁎⁎⁎ | 171.680⁎⁎⁎ | 69.751⁎⁎⁎ | 34.527⁎⁎⁎ | 27.450⁎⁎⁎ |
| (0.9848) | (0.0000) | (0.0000) | (0.9464) | (0.0000) | (0.0000) | (0.0000) | (0.0045) | (0.0000) | (0.0000) | (0.0000) | (0.0000) | |
| 10.7430⁎⁎⁎ | 31.3160⁎⁎⁎ | 12.2070⁎⁎⁎ | 24.9260⁎⁎⁎ | 10.5880⁎⁎⁎ | 62.4120⁎⁎⁎ | 5.2259⁎⁎ | 52.8850⁎⁎⁎ | 22.8200⁎⁎⁎ | 57.5380⁎⁎⁎ | 16.6700⁎⁎⁎ | 49.2290⁎⁎⁎ | |
| (0.0010) | (0.0000) | (0.0005) | (0.0000) | (0.0011) | (0.0000) | (0.0223) | (0.0000) | (0.0000) | (0.0000) | (0.0000) | (0.0000) | |
| 89.5560⁎⁎⁎ | 26.0540⁎⁎⁎ | 0.4179 | 12.7860⁎⁎⁎ | 17.9920⁎⁎⁎ | 56.9230⁎⁎⁎ | 78.1490⁎⁎⁎ | 65.9700⁎⁎⁎ | 43.9610⁎⁎⁎ | 18.8340⁎⁎⁎ | 43.4150⁎⁎⁎ | 43.1280⁎⁎⁎ | |
| (0.0000) | (0.0000) | (0.518) | (0.0003) | (0.0000) | (0.0000) | (0.0000) | (0.0000) | (0.0000) | (0.0000) | (0.0000) | (0.0000) | |
| 56.6610⁎⁎⁎ | 5.3016⁎⁎ | 144.430⁎⁎⁎ | 54.9800⁎⁎⁎ | 91.6700⁎⁎⁎ | 92.6440⁎⁎⁎ | 22.1300⁎⁎⁎ | 77.0560⁎⁎⁎ | 3.8357* | 0.0004 | 43.7590⁎⁎⁎ | 50.8230⁎⁎⁎ | |
| (0.0000) | (0.0213) | (0.0000) | (0.0000) | (0.0000) | (0.0000) | (0.0000) | (0.0000) | (0.0502) | (0.9845) | (0.0000) | (0.0000) | |
Notes: This table reports the results of stationarity and ARCH tests for stock market returns and pandemic anxiety indexes. r, AI, and RAI represent stock market returns, the pandemic anxiety index, and the rolling anxiety index, respectively. Δr, ΔAI, and ΔRAI denote the corresponding differential series, Δrt =rt- rt−1, ΔAIt = 100*(AI t- AIt − 1) and ΔRAIt = 100*(RAI t- RAIt − 1). The p-values are presented in the parentheses. ***, and *** indicate significance at the 10%, 5%, and 1% levels, respectively.
Summary of unconditional correlation matrix and Granger Causality test results.
| Correlation Matrix | Granger Causality Test | |||||
| Brazil | 0.3255 | 0.3292 | 0.5281 | 2.7054⁎⁎(−0.0314) | 6.5700⁎⁎⁎(0.0001) | |
| Russian | −0.1391 | −0.2245 | 0.2862 | 0.5111(0.6751) | 2.1687*(0.0736) | |
| India | −0.5729 | −0.6318 | 0.6725 | 13.6857⁎⁎⁎(0.0000) | 6.6752⁎⁎⁎(0.0000) | |
| China | 0.0127 | 0.004 | 0.3959 | 1.9761(0.1411) | 0.7695(0.5462) | |
| South Africa | 0.0906 | 0.2781 | 0.4568 | 0.1676(0.9547) | 3.6041⁎⁎⁎(0.0073) | |
| United States | 0.0183 | 0.2109 | 0.2632 | 0.4794(0.7509) | 4.0446⁎⁎⁎(0.0035) | |
| England | −0.0807 | 0.0991 | 0.6973 | 0.4443(0.6418) | 2.1412(0.0769) | |
| Canada | 0.1061 | 0.0223 | 0.8006 | 3.3055⁎⁎(0.0118) | 7.5664⁎⁎⁎(0.0000) | |
| Italy | 0.1016 | 0.08 | 0.3479 | 0.5874(0.6721) | 0.0436(0.9573) | |
| Germany | −0.0420 | 0.1349 | 0.2941 | 0.3170(0.8131) | 2.6677⁎⁎(0.0486) | |
| France | 0.0032 | −0.0244 | 0.5676 | 1.0063(0.4052) | 0.3361(0.8534) | |
| Japan | −0.1360 | −0.1491 | 0.6299 | 8.4998⁎⁎⁎(0.0039) | 7.3871⁎⁎⁎(0.0071) |
Note:The left side of this table presents unconditional correlations between stock market returns and COVID-19 anxiety indexes for each country; the right side shows the results of the Granger causality tests. C- denotes the correlation coefficient between daily changes in stock market returns (Δr) and pandemic anxiety index (ΔAI), C- is the correlation coefficient between daily changes in stock market returns (Δr) and pandemic rolling anxiety index (ΔRAI), while C- denotes the correlation between AI and RAI. The first Granger causality test, for ΔAI causing Δr, uses Eq. (3), while the second Granger causality test, for ΔRAI causing Δr, uses Eq. (4). F statistics from the Granger causality tests are reported and corresponding p-values are shown in parentheses. Rejection of the null hypothesis means ΔAI Granger-causes Δr or ΔRAI Granger-causes Δr. Parameter estimates results for the two Granger causality tests are reported in Table 8, Table 9, respectively. ⁎⁎⁎, and *** indicate significance at the 10%,5%, and 1% level, respectively.
Results of optimal lags order selection.
| Lags selection for stock-AI | Lags selection for stock-RAI | ||||||||||
| Lags | 0 | 1 | 2 | 3 | 4 | 0 | 1 | 2 | 3 | 4 | |
| Brazil | 12.258 | 11.622 | 11.533 | 11.387 | 11.279* | 10.145 | 9.608 | 9.409 | 9.385 | 9.382* | |
| Russian | 11.194 | 10.744 | 10.694 | 10.632* | 10.681 | 11.579 | 11.198 | 11.015 | 10.948 | 10.933* | |
| India | 10.071 | 9.500 | 9.404* | 9.422 | 9.423 | 9.515 | 8.871 | 8.735 | 8.688 | 8.603* | |
| China | 12.349 | 12.035 | 12.029* | 12.057 | 12.088 | 17.470 | 16.999 | 16.886 | 16.887 | 16.858* | |
| South Africa | 12.624 | 12.285 | 12.076 | 11.994 | 11.986* | 11.557 | 11.377 | 11.117 | 10.998 | 10.990* | |
| United States | 13.202 | 12.604 | 12.547 | 12.574 | 12.529* | 9.971 | 8.632 | 8.647 | 8.508 | 8.455* | |
| England | 11.293 | 10.866 | 10.815* | 10.825 | 10.883 | 9.217 | 9.030 | 8.954 | 8.868 | 8.866* | |
| Canada | 12.407 | 11.732 | 11.619 | 11.475 | 11.399* | 10.787 | 9.675 | 9.440 | 9.280 | 9.182* | |
| Italy | 11.257 | 10.738 | 10.657 | 10.659 | 10.620* | 8.013 | 7.631 | 7.491* | 7.508 | 7.500 | |
| Germany | 12.024 | 11.530 | 11.548 | 11.486* | 11.504 | 9.939 | 9.474 | 9.477 | 9.407* | 9.423 | |
| France | 13.438 | 12.776 | 12.738 | 12.725 | 12.639* | 11.244 | 10.726 | 10.690 | 10.573 | 10.451* | |
| Japan | 11.929 | 11.247* | 11.314 | 11.276 | 11.257 | 10.211 | 9.522* | 9.559 | 9.548 | 9.529 | |
Notes: This table reports the results of lag selections for bivariate VAR model based on the BIC criterion. The selected lags will be used to take Granger tests for whether the change in pandemic anxieties causing change in stock market returns and also will be used in the DCC-GARCH model hereinafter. The left part shows the results for pandemic anxiety index AI and stock market returns while the right part shows the results for pandemic rolling anxiety index RAI and stock market returns in each country. * presents the optimal lag order.
The results of the Granger causality tests shown in the right side of Table 5 indicate that the null hypothesis is rejected for 8 out of 12 selected countries, namely, Brazil, Russia, India, South Africa, the United States, Canada, Germany and Japan, indicating that the COVID-19 Anxiety Index changes, causing stock market returns in these eight countries. Interestingly, among these eight countries, the unconditional correlations between the changes in stock market returns and changes in the COVID-19 Anxiety Index are positive for Brazil, South Africa, the United States, Canada and Germany, while the correlations are negative for Russia, India and Japan. It highlights that the impact of the COVID-19 pandemic on stock market are not consistent for different countries.
Estimated results of the Granger causality test for the AI causing stock market returns.
| ϕ | α | α | α | α | β | β | β | β | |
| Brazil | −0.0655 | −0.8618⁎⁎⁎ | −0.5675⁎⁎⁎ | −0.4195⁎⁎⁎ | −0.258⁎⁎⁎ | −0.0271* | −0.0123 | −0.0389⁎⁎ | −0.0336⁎⁎ |
| (0.1270) | (0.0653) | (0.0798) | (0.0743) | (0.0622) | (0.0147) | (0.0168) | (0.0165) | (0.0136) | |
| Russian | −0.0447 | −0.8185⁎⁎⁎ | −0.5919⁎⁎⁎ | −0.3428⁎⁎⁎ | −0.0109 | −0.032 | −0.0103 | ||
| (0.1396) | (0.0645) | (0.0737) | (0.0619) | (0.0239) | (0.0259) | (0.0238) | |||
| India | 0.0167 | −0.4933⁎⁎⁎ | −0.1756⁎⁎⁎ | 0.0925⁎⁎⁎ | 0.0738⁎⁎⁎ | ||||
| (0.1044) | (0.0617) | (0.0538) | (0.0226) | (0.0172) | |||||
| China | −0.0112 | −0.6061⁎⁎⁎ | −0.3035⁎⁎⁎ | −0.001 | −0.0088* | ||||
| (0.0809) | (0.0629) | (0.0620) | (0.0046) | (0.0045) | |||||
| South Africa | −0.058 | −0.7296⁎⁎⁎ | −0.5552⁎⁎⁎ | −0.397⁎⁎⁎ | −0.1728⁎⁎⁎ | −0.0035 | −0.0066 | −0.0038 | −0.0009 |
| (0.0981) | (0.0675) | (0.0791) | (0.0756) | (0.0610) | (0.0072) | (0.0087) | (0.0086) | (0.0071) | |
| United States | −0.0565 | −0.8107⁎⁎⁎ | −0.3611⁎⁎⁎ | −0.3188⁎⁎⁎ | −0.2764⁎⁎⁎ | −0.0059 | −0.0039 | 0.0015 | −0.0055 |
| (0.1129) | (0.0651) | (0.0818) | (0.0736) | (0.0573) | (0.0074) | (0.0083) | (0.0083) | (0.0073) | |
| England | −0.0297 | −0.4881⁎⁎⁎ | −0.2167⁎⁎⁎ | 0.0119 | 0.0149 | ||||
| (0.1163) | (0.0633) | (0.0607) | (0.0166) | (0.0165) | |||||
| Canada | −0.0593 | −0.9008⁎⁎⁎ | −0.658⁎⁎⁎ | −0.535⁎⁎⁎ | −0.2658⁎⁎⁎ | −0.011 | −0.0119 | −0.0208⁎⁎ | −0.0213⁎⁎⁎ |
| (0.0835) | (0.0637) | (0.0768) | (0.0675) | (0.0542) | (0.0070) | (0.0091) | (0.0088) | (0.0063) | |
| Italy | −0.0304 | −0.8295⁎⁎⁎ | −0.5674⁎⁎⁎ | −0.4662⁎⁎⁎ | −0.2858⁎⁎⁎ | −0.0039 | −0.0124 | −0.0019 | −0.0044 |
| (0.0756) | (0.0659) | (0.0811) | (0.0808) | (0.0647) | (0.0085) | (0.0101) | (0.0101) | (0.0085) | |
| Germany | −0.0503 | −0.6954⁎⁎⁎ | −0.4088⁎⁎⁎ | −0.2943⁎⁎⁎ | −0.0104 | −0.0012 | 0.0071 | ||
| (0.1246) | (0.0647) | (0.0732) | (0.0612) | (0.0142) | (0.0161) | (0.0143) | |||
| France | −0.0449 | −0.7338⁎⁎⁎ | −0.4766⁎⁎⁎ | −0.4337⁎⁎⁎ | −0.1934⁎⁎⁎ | −0.0028 | 0.0122 | 0.01 | 0.0046 |
| (0.1187) | (0.0671) | (0.0781) | (0.0757) | (0.0632) | (0.0073) | (0.0094) | (0.0094) | (0.0073) | |
| Japan | −0.0083 | −0.5195⁎⁎⁎ | 0.0179⁎⁎⁎ | ||||||
| (0.0937) | (0.0560) | (0.0061) |
Notes: This table shows the parameter estimate results of the Granger causality tests for changes in the COVID-19 AI causing changes in stock market returns for the BRICS and G7 countries. φi,α, α, α, α, β, β, β and β are the parameters based on Eq. (3), with the standard errors presented in the parentheses. ***, and *** indicate significance at 10%, 5%, and 1% levels, respectively.
Estimated results of the Granger causality test for the RAI causing stock market returns.
| ϕ | α | α | α | α | β | β | β | β | |
| Brazil | −0.0041 | −0.8932⁎⁎⁎ | −0.5875⁎⁎⁎ | −0.3561⁎⁎⁎ | −0.2163⁎⁎⁎ | −0.0155 | 0.0582⁎⁎⁎ | 0.0228* | 0.013 |
| (0.1237) | (0.0668) | (0.0872) | (0.0836) | (0.0637) | (0.0410) | (0.0152) | (0.0130) | (0.0092) | |
| Russian | −0.0581 | −0.8563⁎⁎⁎ | −0.6647⁎⁎⁎ | −0.4787⁎⁎⁎ | −0.0989 | −0.0297 | 0.028 | −0.0044 | 0.0413* |
| (0.1365) | (0.0694) | (0.0855) | (0.0837) | (0.0689) | (0.0230) | (0.0240) | (0.0228) | (0.0217) | |
| India | 0.0149 | −0.7646⁎⁎⁎ | −0.5042⁎⁎⁎ | −0.2699⁎⁎⁎ | −0.0971⁎⁎⁎ | 0.074⁎⁎ | 0.1029⁎⁎ | 0.1878⁎⁎⁎ | 0.1227⁎⁎⁎ |
| (0.0923) | (0.0641) | (0.0718) | (0.0669) | (0.0576) | (0.0347) | (0.0440) | (0.0404) | (0.0283) | |
| China | −0.017 | −0.7152⁎⁎⁎ | −0.4928⁎⁎⁎ | −0.3441⁎⁎⁎ | −0.2582⁎⁎⁎ | 0.0003 | −0.0001 | 0.0004 | 0.0003 |
| (0.0780) | (0.0659) | (0.0788) | (0.0769) | (0.0639) | (0.0004) | (0.0005) | (0.0005) | (0.0004) | |
| South Africa | −0.0499 | −0.6905⁎⁎⁎ | −0.5883⁎⁎⁎ | −0.4475⁎⁎⁎ | −0.2364⁎⁎⁎ | −0.0389⁎⁎⁎ | −0.0075 | −0.0215⁎⁎ | 0.0072 |
| (0.0951) | (0.0671) | (0.0772) | (0.0779) | (0.0630) | (0.0110) | (0.0111) | (0.0106) | (0.0104) | |
| United States | −0.0257 | −0.7892⁎⁎⁎ | −0.3464⁎⁎⁎ | −0.2192⁎⁎⁎ | −0.1875⁎⁎⁎ | −0.0758 | 0.0171 | 0.0531⁎⁎ | −0.0022 |
| (0.1104) | (0.0671) | (0.0838) | (0.0803) | (0.0635) | (0.0509) | (0.0366) | (0.0230) | (0.0182) | |
| England | −0.0285 | −0.5937⁎⁎⁎ | −0.424⁎⁎⁎ | −0.3505⁎⁎⁎ | −0.1575⁎⁎ | 0.0228 | 0.0249 | −0.0241 | 0.0899⁎⁎ |
| (0.1108) | (0.0669) | (0.0742) | (0.0732) | (0.0617) | (0.0432) | (0.0462) | (0.0446) | (0.0402) | |
| Canada | −0.0508 | −0.8365⁎⁎⁎ | −0.5888⁎⁎⁎ | −0.4819⁎⁎⁎ | −0.2482⁎⁎⁎ | −0.0195 | 0.0047 | −0.0003 | −0.0441⁎⁎⁎ |
| (0.0809) | (0.0634) | (0.0778) | (0.0719) | (0.0561) | (0.0175) | (0.0245) | (0.0224) | (0.0145) | |
| Italy | −0.0218 | −0.7043⁎⁎⁎ | −0.2709⁎⁎⁎ | 0.0118 | 0.0028 | ||||
| (0.0805) | (0.0644) | (0.0641) | (0.0400) | (0.0398) | |||||
| Germany | −0.0282 | −0.7001⁎⁎⁎ | −0.3726⁎⁎⁎ | −0.2800⁎⁎⁎ | −0.0449 | 0.0469 | 0.0299⁎⁎ | ||
| (0.1229) | (0.0645) | (0.0738) | (0.0604) | (0.0369) | (0.0367) | (0.0147) | |||
| France | −0.0455 | −0.7319⁎⁎⁎ | −0.4824⁎⁎⁎ | −0.4288⁎⁎⁎ | −0.1979⁎⁎⁎ | 0.0122 | 0.0052 | −0.0011 | 0.0157 |
| (0.1196) | (0.0670) | (0.0788) | (0.0766) | (0.0638) | (0.0216) | (0.0262) | (0.0263) | (0.0209) | |
| Japan | −0.0109 | −0.5189⁎⁎⁎ | 0.0427⁎⁎⁎ | ||||||
| (0.0939) | (0.0563) | (0.0157) |
Notes: This table shows the parameter estimate results of the Granger causality tests for changes in the COVID-19 RAI causing changes in stock market returns for the BRICS and G7 countries. φi,α, α, α, α, β, β, β and β are the parameters based on Eq. (4) with the standard errors presented in parentheses. ***, and ⁎⁎⁎ indicate significance at the 10%, 5%, and 1% levels, respectively.
Estimate results of DCC–GARCH (1,1) model for stock volatility and Anxiety Index (AI).
| α | β | |||||||
| Brazil | 1.6463⁎⁎⁎ | 6.4087⁎⁎ | 0.6352⁎⁎⁎ | 0.1860⁎⁎⁎ | 0.2439⁎⁎⁎ | 0.7702⁎⁎⁎ | 0.0248 | 0.9621⁎⁎⁎ |
| (0.4607) | (2.1396) | (0.0899) | (0.0548) | (0.0634) | (0.0510) | (0.0305) | (0.0153) | |
| Russian | 0.4971 | 0.1097 | 0.2394 | 0.0682 | 0.7144⁎⁎ | 0.9258⁎⁎⁎ | 0.0194 | 0.7363⁎⁎ |
| (0.7036) | (0.1162) | (0.2780) | (0.0561) | (0.3090) | (0.0732) | (0.0319) | (0.2851) | |
| India | 0.2640 | 0.1951 | 0.1757 | 0.0766⁎⁎⁎ | 0.6964 | 0.9101⁎⁎⁎ | 0.0429 | 0.9320⁎⁎⁎ |
| (0.6665) | (0.1616) | (0.3545) | (0.0263) | (0.6183) | (0.0218) | (0.041) | (0.0364) | |
| China | 0.9256⁎⁎⁎ | 17.6722⁎⁎⁎ | 0.0866 | 0.0578 | 0.4225⁎⁎ | 0.4374⁎⁎ | 0.0709 | 0.0146 |
| (0.2184) | (38.5883) | (0.2184) | (0.2184) | (0.2184) | (0.2184) | (0.2184) | (0.9599) | |
| South Africa | 0.1445⁎⁎⁎ | 3.3042 | 0.2378⁎⁎ | 0.1450⁎⁎⁎ | 0.7060⁎⁎⁎ | 0.8490⁎⁎⁎ | 0.0742 | 0.5271⁎⁎⁎ |
| (0.0523) | (2.2516) | (0.0936) | (0.0292) | (0.0774) | (0.0189) | (0.1050) | (0.1165) | |
| United States | 0.4314⁎⁎⁎ | 15.1446⁎⁎ | 0.6796⁎⁎⁎ | 0.9253⁎⁎ | 0.3110⁎⁎⁎ | 0.0742 | 0.0258⁎⁎ | 0.9470⁎⁎⁎ |
| (0.1627) | (6.39) | (0.1148) | (0.3934) | (0.0809) | (0.0556) | (0.0121) | (0.0422) | |
| England | 0.2193 | 10.2107⁎⁎ | 0.1334 | 0.5301* | 0.8254⁎⁎⁎ | 0.3502⁎⁎ | 0.1783 | 0.4835 |
| (0.1850) | (5.1142) | (0.0828) | (0.2107) | (0.1159) | (0.1514) | (0.1039) | (0.3451) | |
| Canada | 0.3821 | 69.1409 | 0.7648 | 0.8137 | 0.2515 | 0.1028 | 0.2347 | 0.1644 |
| (0.1147) | (38.7416) | (0.1507) | (0.3302) | (0.0936) | (0.1108) | (0.3751) | (0.179) | |
| Italy | 1.0155⁎⁎⁎ | 3.0054 | 0.4703⁎⁎⁎ | 0.5603* | 0.1108 | 0.4460⁎⁎ | 0.0683 | 0.8970⁎⁎⁎ |
| (0.2568) | (3.4139) | (0.1248) | (0.3066) | (0.1032) | (0.2004) | (0.0509) | (0.0579) | |
| Germany | 0.0797⁎⁎⁎ | 1.1032⁎⁎⁎ | 0.0658⁎⁎⁎ | 0.0443⁎⁎⁎ | 0.8999⁎⁎⁎ | 0.9351⁎⁎⁎ | 0.1141⁎⁎⁎ | 0.4982 |
| (0.0051) | (0.0034) | (0.0197) | (0.0139) | (0.0238) | (0.0753) | (0.0012) | (0.3005) | |
| France | 1.1899 | 3.2664 | 0.4854⁎⁎⁎ | 0.2962* | 0.3930* | 0.7015⁎⁎⁎ | 0.2911⁎⁎⁎ | 0.1649 |
| (0.8003) | (2.8436) | (0.1652) | (0.1521) | (0.2150) | (0.0791) | (0.0874) | (0.2358) | |
| Japan | 1.1643⁎⁎⁎ | 0.7901 | 0.6003⁎⁎⁎ | 0.2898⁎⁎ | 0.0483 | 0.7020⁎⁎⁎ | 0.1394* | 0.6182⁎⁎ |
| (0.2387) | (1.0380) | (0.1629) | (0.1354) | (0.0703) | (0.1102) | (0.0713) | (0.3066) |
Estimate results of DCC-GARCH (1,1) model for stock volatility and Rolling Anxiety Index (RAI).
| ωr | ωRAI | αr | αRAI | βr | βRAI | aDCC | bDCC | |
| Brazil | 1.2649⁎⁎⁎ | 0.5175 | 0.3622⁎⁎ | 0.2780 | 0.2685 | 0.6539⁎⁎⁎ | 0.0739 | 0.8238⁎⁎⁎ |
| (0.4675) | (0.4731) | (0.1661) | (0.2022) | (0.2207) | (0.2265) | (0.0665) | (0.1356) | |
| Russian | 0.197 | 0.0191 | 0.0907 | 0.5384* | 0.8605⁎⁎⁎ | 0.4451⁎⁎⁎ | 0.0099 | 0.9716⁎⁎⁎ |
| (0.1991) | (0.0182) | (0.0709) | (0.3085) | (0.1047) | (0.063) | (0.0673) | (0.0175) | |
| India | 0.4005⁎⁎ | 0.0277 | 0.7711* | 0.7957* | 0.2015⁎⁎ | 0.1028* | 0.1453⁎⁎⁎ | 0.7985⁎⁎⁎ |
| (0.1678) | (0.0240) | (0.4325) | (0.2568) | (0.1003) | (0.0492) | (0.0368) | (0.0372) | |
| China | 0.6885⁎⁎⁎ | 26.3169⁎⁎⁎ | 0.3957⁎⁎⁎ | 0.2301⁎⁎⁎ | 0.3034⁎⁎⁎ | 0.1227⁎⁎⁎ | 0.0476 | 0.1034 |
| (0.0022) | (3.3467) | (0.0017) | (0.0026) | (0.0031) | (0.0023) | (0.0314) | (0.0012) | |
| South Africa | 0.1301 | 10.9143⁎⁎⁎ | 0.1774* | 0.8362⁎⁎⁎ | 0.7923⁎⁎⁎ | 0.1187 | 0.1196 | 0.7289⁎⁎⁎ |
| (0.0844) | (3.8207) | (0.0900) | (0.2351) | (0.1092) | (0.1316) | (0.1340) | (0.1425) | |
| United States | 0.2971 | 0.6368 | 0.8180⁎⁎⁎ | 0.8119* | 0.1982⁎⁎⁎ | 0.1388 | 0.2701 | 0.7139⁎⁎⁎ |
| (0.6726) | (1.005) | (0.1309) | (0.3481) | (0.0647) | (0.1772) | (1.1600) | (0.1334) | |
| England | 0.1103 | 0.3312 | 0.1014 | 0.1995⁎⁎⁎ | 0.8470⁎⁎⁎ | 0.7654⁎⁎⁎ | 0.0601 | 0.4917⁎⁎⁎ |
| (0.0947) | (0.2337) | (0.0691) | (0.0671) | (0.0888) | (0.0628) | (0.0483) | (0.1489) | |
| Canada | 0.1828⁎⁎⁎ | 4.0735⁎⁎⁎ | 0.5727⁎⁎⁎ | 0.4548⁎⁎⁎ | 0.4155⁎⁎⁎ | 0.4073⁎⁎⁎ | 0.0429⁎⁎⁎ | 0.7203⁎⁎⁎ |
| (0.0072) | (0.1082) | (0.0002) | (0.0006) | (0.003) | (0.0037) | (0.0034) | (0.0290) | |
| Italy | 1.0447⁎⁎⁎ | 0.1130 | 0.5204⁎⁎⁎ | 0.1653⁎⁎⁎ | 0.0754 | 0.8186⁎⁎⁎ | 0.2025⁎⁎ | 0.0871 |
| (0.2809) | (0.0697) | (0.1190) | (0.0567) | (0.0802) | (0.0572) | (0.0913) | (0.2300) | |
| Germany | 0.1999 | 2.8437 | 0.2097⁎⁎ | 0.2082⁎⁎ | 0.7446⁎⁎⁎ | 0.5701⁎⁎⁎ | 0.0103 | 0.7635⁎⁎⁎ |
| (0.1223) | (1.9064) | (0.0898) | (0.099) | (0.0937) | (0.2153) | (0.0576) | (0.2485) | |
| France | 0.1810⁎⁎⁎ | 0.2317⁎⁎ | 0.1771⁎⁎⁎ | 0.1316⁎⁎⁎ | 0.7763⁎⁎⁎ | 0.8455⁎⁎⁎ | 0.1039 | 0.5188⁎⁎⁎ |
| (0.0415) | (0.1131) | (0.0186) | (0.0126) | (0.0149) | (0.0086) | (0.0643) | (0.199) | |
| Japan | 1.2143⁎⁎⁎ | −0.0159 | 0.5887⁎⁎⁎ | 0.2250⁎⁎⁎ | 0.0251 | 0.7518⁎⁎⁎ | 0.0271 | 0.5863* |
| (0.2130) | (0.1011) | (0.1629) | (0.0830) | (0.0506) | (0.0547) | (0.2460) | (0.2508) |
Notes: this table reports the estimate results of the bivariate DCC-GARCH (1,1) model involving stock return and COVID-19 rolling anxiety index (RAI). a, and a are the parameters of univariate GARCH (1,1) model for stock return while ωRARA and βRA are the parameters of univariate GARCH (1,1) for RAI. a and b are parameters of the DCC procedure. Standard errors are presented in parentheses. ⁎⁎⁎and ⁎⁎⁎ indicate the significance level at 10%,5% and 1%, respectively.
Fig. 4Dynamic conditional correlations between stock market returns and the COVID-19 AI for each country. Note: Graphs are portioned into two phases by a dotted line, depicting the co-movements of stock markets and the AI before and after the announcement of the mRNA-based COVID-19 vaccine.
Fig. 5Dynamic conditional correlations between stock market returns and the COVID-19 RAI for each country. Note: Graphs are portioned into two phases by a dotted line, depicting the co-movements of stock markets-RAI before and after the announcement of the mRNA-based COVID-19 vaccine.