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. 2021 Oct 13;24:e00228. doi: 10.1016/j.jeca.2021.e00228

Table 5.

The BTKS tests of asymmetric risk spillover (CoVaR and ΔCoVaR measurements).

Direct dependency
Indirect dependency
China spillover effect CSI300
CSI300
CSI300
CSI300
CSI300
CSI300
CSI300
HS SP500 N225 KS SP500|HS N225|HS KS|HS
The tranquil period
CoVaR −3.729 −2.4169 −2.1282 −2.2048 −1.2695 −1.7195 −1.4395
(2.5121) (2.5287) (1.0984) (1.4155) (1.6543) (1.1243) (1.4243)
ΔCoVaR 1.2830 0.8619 0.4982 0.6458 0.3287 0.1487 0.3147
(0.1541) (0.0068) (0.0065) (0.0121) (0.3154) (0.0644) (0.1846)
BTKS 0.4123 0.6854 0.5497 0.8733 0.1856 0.1486 0.3956
[0.0000] [0.0000] [0.0000] [0.0000] [0.0000] [0.0000] [0.0000]
The 2015 crisis
CSI300 CSI300 CSI300 CSI300 CSI300 CSI300 CSI300
HS SP500 N225 KS SP500|HS N225|HS KS|HS
CoVaR −3.312 2.2592 −3.4962 −1.708 −1.2071 −2.1192 −1.0463
(0.4102) (0.6126) (11339) (0.2956) (1.8164) (1.1535) (0.6916)
ΔCoVaR 0.8743 0.5137 0.8137 0.2838 −0.2361 0.0255 −0.0512
(0.0166) (0.0254) (0.0254) (0.0017) (0.3163) (0.0242) (0.692)
BTKS 0.9054 0.4251 0.5252 0.7731 0.0000 0.0155 0.7938
[0.0000] [0.0000] [0.0000] [0.0000] [1] [0.8570] [1]
Direct dependency
Indirect dependency
US spillover effect SP500
SP500
SP500
SP500
SP500


HS CSI300 N225 KS CSI300|HS
The tranquil period
CoVaR −2.8229 −3.3169 −2.7382 −2.3188 −2.0955
(0.7977) (1.6287) (1.1284) (1.6155) (1.1243)
ΔCoVaR 1.1130 0.6919 1.4995 1.1658 0.2051
(0.0141) (0.0197) (0.0172) (0.2025) (0.1844)
BTKS 0.7033 0.395 0.7991 0.8733 0.2031
[0.0000] [0.0000] [0.0000] [0.0000] [0.0000]
The COVID-19 period
SP500 SP500 SP500 SP500 SP500 SP500 SP500
HS CSI300 N225 KS CSI300|HS HS|KS KS|N225
CoVaR −3.012 −6.8592 −2.7462 −1.818 −4.9271 −1.5692 −1.4563
(0.3502) (1.4326) (0.6839) (0.1956) (1.7564) (0.5735) (0.3916)
ΔCoVaR 1.1243 1.1237 1.1937 1.6838 1.8561 0.4105 0.7562
(0.0176) (0.1454) (0.0754) (0.087) (2.3163) (0.0742) (0.3052)
BTKS 0.9154 0.941 0.9252 0.8731 0.7157 0.4155 0.7938
[0.0000] [0.0000] [0.0000] [0.0000] [0.0000] [0.0000] [0.0000]

Notes: Table 5 reports the mean values of CoVaR and ΔCoVaR. In the round bracket, we display their standard deviation. BTKS tests the null hypothesis that CoVaR in the intense shift is equal to it in regular circumstances. The alternative hypothesis is: CoVaR in the intense shift is greater than it in the regular circumstances. In square brackets, we display the p-value. The figure is underlined if the CoVaR and ΔCoVaR are larger in the direct or indirect dependence. The figure is in bold if the ΔCoVaR is larger in the tranquil period or the instability period.