Estimate results of CCC and DCC models
| CCC | DCC | |||||
|---|---|---|---|---|---|---|
| Coefficient | t-statistic | Prob. | Coefficient | t-statistic | Prob. | |
| μ1 | 0.0797563776 | 3.20530 | 0.00134924* | 0.0768442872 | 3.02707 | 0.00246938* |
| μ2 | 0.0609335815 | 3.13862 | 0.00169748* | 0.0601954860 | 2.73108 | 0.00631272* |
| μ3 | 0.0363385172 | 1.75394 | 0.07944059*** | 0.0380149389 | 1.58589 | 0.11276425 |
| μ4 | 0.0528866556 | 2.73432 | 0.00625094* | 0.0527164718 | 2.57050 | 0.01015530** |
| μ5 | 0.0079614547 | 0.52138 | 0.60210523 | 0.0099456350 | 0.64669 | 0.51783052 |
| c(1) | 0.0546931428 | 4.77410 | 0.00000181* | 0.0307128299 | 3.56543 | 0.00036325* |
| c(2) | 0.0266018780 | 5.41338 | 0.00000006* | 0.0148710299 | 4.24934 | 0.00002144* |
| c(3) | 0.0523474363 | 5.59595 | 0.00000002* | 0.0292440069 | 4.47998 | 0.00000747* |
| c(4) | 0.0554420934 | 6.48233 | 0.00000000* | 0.0513266053 | 5.48211 | 0.00000004* |
| c(5) | 0.0147910732 | 5.32985 | 0.00000010* | 0.0105073929 | 4.01356 | 0.00005981* |
| a(1) | 0.0749088960 | 6.79133 | 0.00000000* | 0.0776578626 | 6.59866 | 0.00000000* |
| a(2) | 0.0426568511 | 7.59083 | 0.00000000* | 0.0501821882 | 8.90060 | 0.00000000* |
| a(3) | 0.0799602157 | 7.26966 | 0.00000000* | 0.0832184317 | 8.29212 | 0.00000000* |
| a(4) | 0.2402567392 | 16.58626 | 0.00000000* | 0.2465209994 | 10.19657 | 0.00000000* |
| a(5) | 0.1071641940 | 9.35041 | 0.00000000* | 0.1141903715 | 9.27744 | 0.00000000* |
| b(1) | 0.8974772593 | 62.91123 | 0.00000000* | 0.9167198744 | 74.75856 | 0.00000000* |
| b(2) | 0.9344069830 | 115.40540 | 0.00000000* | 0.9431915321 | 154.39916 | 0.00000000* |
| b(3) | 0.8816726473 | 59.85706 | 0.00000000* | 0.9092090825 | 87.72779 | 0.00000000* |
| b(4) | 0.7601901464 | 56.01244 | 0.00000000* | 0.7665307271 | 40.26037 | 0.00000000* |
| b(5) | 0.8769939544 | 74.86007 | 0.00000000* | 0.8892809469 | 82.56190 | 0.00000000* |
| r(2,1) | 0.5475020116 | 38.23011 | 0.00000000* | – | – | – |
| r(3,1) | 0.5234915621 | 34.62113 | 0.00000000* | – | – | – |
| r(3,2) | 0.6060293352 | 43.81264 | 0.00000000* | – | – | – |
| r(4,1) | 0.1413728602 | 7.51260 | 0.00000000* | – | – | – |
| r(4,2) | 0.1519891327 | 7.51281 | 0.00000000* | – | – | – |
| r(4,3) | 0.1798502537 | 9.27228 | 0.00000000* | – | – | – |
| r(5,1) | 0.2533761563 | 13.86171 | 0.00000000* | – | – | – |
| r(5,2) | 0.3262800433 | 17.83819 | 0.00000000* | – | – | – |
| r(5,3) | 0.3358289152 | 18.32144 | 0.00000000* | – | – | – |
| r(5,4) | 0.1303644778 | 7.40253 | 0.00000000* | – | – | – |
| α | – | – | – | 0.0126180618 | 6.42334 | 0.00000000* |
| β | – | – | – | 0.9840458675 | 362.78222 | 0.00000000* |
| Model diagnostics | ||||||
| ARCH LM | 1,941.11 | 0.0078 | 1,941.26 | 0.0026 | ||
| CCC | DCC | |||||
|---|---|---|---|---|---|---|
| Coefficient | Prob. | Coefficient | Prob. | |||
| 0.0797563776 | 3.20530 | 0.00134924* | 0.0768442872 | 3.02707 | 0.00246938* | |
| 0.0609335815 | 3.13862 | 0.00169748* | 0.0601954860 | 2.73108 | 0.00631272* | |
| 0.0363385172 | 1.75394 | 0.07944059*** | 0.0380149389 | 1.58589 | 0.11276425 | |
| 0.0528866556 | 2.73432 | 0.00625094* | 0.0527164718 | 2.57050 | 0.01015530** | |
| 0.0079614547 | 0.52138 | 0.60210523 | 0.0099456350 | 0.64669 | 0.51783052 | |
| 0.0546931428 | 4.77410 | 0.00000181* | 0.0307128299 | 3.56543 | 0.00036325* | |
| 0.0266018780 | 5.41338 | 0.00000006* | 0.0148710299 | 4.24934 | 0.00002144* | |
| 0.0523474363 | 5.59595 | 0.00000002* | 0.0292440069 | 4.47998 | 0.00000747* | |
| 0.0554420934 | 6.48233 | 0.00000000* | 0.0513266053 | 5.48211 | 0.00000004* | |
| 0.0147910732 | 5.32985 | 0.00000010* | 0.0105073929 | 4.01356 | 0.00005981* | |
| 0.0749088960 | 6.79133 | 0.00000000* | 0.0776578626 | 6.59866 | 0.00000000* | |
| 0.0426568511 | 7.59083 | 0.00000000* | 0.0501821882 | 8.90060 | 0.00000000* | |
| 0.0799602157 | 7.26966 | 0.00000000* | 0.0832184317 | 8.29212 | 0.00000000* | |
| 0.2402567392 | 16.58626 | 0.00000000* | 0.2465209994 | 10.19657 | 0.00000000* | |
| 0.1071641940 | 9.35041 | 0.00000000* | 0.1141903715 | 9.27744 | 0.00000000* | |
| 0.8974772593 | 62.91123 | 0.00000000* | 0.9167198744 | 74.75856 | 0.00000000* | |
| 0.9344069830 | 115.40540 | 0.00000000* | 0.9431915321 | 154.39916 | 0.00000000* | |
| 0.8816726473 | 59.85706 | 0.00000000* | 0.9092090825 | 87.72779 | 0.00000000* | |
| 0.7601901464 | 56.01244 | 0.00000000* | 0.7665307271 | 40.26037 | 0.00000000* | |
| 0.8769939544 | 74.86007 | 0.00000000* | 0.8892809469 | 82.56190 | 0.00000000* | |
| 0.5475020116 | 38.23011 | 0.00000000* | – | – | – | |
| 0.5234915621 | 34.62113 | 0.00000000* | – | – | – | |
| 0.6060293352 | 43.81264 | 0.00000000* | – | – | – | |
| 0.1413728602 | 7.51260 | 0.00000000* | – | – | – | |
| 0.1519891327 | 7.51281 | 0.00000000* | – | – | – | |
| 0.1798502537 | 9.27228 | 0.00000000* | – | – | – | |
| 0.2533761563 | 13.86171 | 0.00000000* | – | – | – | |
| 0.3262800433 | 17.83819 | 0.00000000* | – | – | – | |
| 0.3358289152 | 18.32144 | 0.00000000* | – | – | – | |
| 0.1303644778 | 7.40253 | 0.00000000* | – | – | – | |
| – | – | – | 0.0126180618 | 6.42334 | 0.00000000* | |
| – | – | – | 0.9840458675 | 362.78222 | 0.00000000* | |
| ARCH LM | 1,941.11 | 0.0078 | 1,941.26 | 0.0026 | ||
Notes: This table shows the estimates of the multivariate GARH CCC and DCC models. 1, 2, 3, 4 and 5 denote, respectively, Hungary, Poland, Czech Republic, Romania and Croatia. The parameters ai, bi and rij are the off-diagonal elements of the matrices A, B and R, respectively, as presented in Section 2. *,**Significant at 1 and 5 percent levels, respectively