Estimation results from the diagonal BEKK model under normal distribution and student’s t-distribution
| Model (1) multivariate normal distribution | Model (2) multivariate student’s t-distribution | |||
|---|---|---|---|---|
| Coefficient | Std. Error | Coefficient | Std. Error | |
| Rs | 0.000727*** | 0.000233 | 0.000777*** | 0.000206 |
| Rb | 0.000220*** | 4.96E−05 | 0.000239*** | 4.42E−05 |
| Variance equation coefficients | ||||
| M(1,1) | 2.08E−06*** | 4.14E−07 | 1.99E−06*** | 5.41E−07 |
| M(1,2) | 2.34E−07*** | 5.39E−08 | 1.71E−07*** | 6.59E−08 |
| M(2,2) | 1.82E−07*** | 3.11E−08 | 1.75E−07*** | 4.07E−08 |
| A1(1,1) | 0.296386*** | 0.015574 | 0.283690*** | 0.022250 |
| A1(2,2) | 0.417817*** | 0.018979 | 0.391110*** | 0.027008 |
| B1(1,1) | 0.944550*** | 0.005950 | 0.948058*** | 0.007589 |
| B1(2,2) | 0.892894*** | 0.009765 | 0.902446*** | 0.012494 |
| t-dist coef | 7.11169*** | 0.997217 | ||
| Log likelihood | 10278.98 | Log likelihood | 10333.92 | |
| Avg. log likelihood | 4.131423 | Avg. log likelihood | 4.153503 | |
| Akaike info criterion | −16.51122 | Akaike info criterion | −16.59793 | |
| Schwarz criterion | −16.47414 | Schwarz criterion | −16.55673 | |
| Hannan–Quinn criterion | −16.49728 | Hannan–Quinn criterion | −16.58244 | |
| Model (1) multivariate normal distribution | Model (2) multivariate student’s t-distribution | |||
|---|---|---|---|---|
| Coefficient | Std. Error | Coefficient | Std. Error | |
| Rs | 0.000727*** | 0.000233 | 0.000777*** | 0.000206 |
| Rb | 0.000220*** | 4.96E−05 | 0.000239*** | 4.42E−05 |
| Variance equation coefficients | ||||
| M(1,1) | 2.08E−06*** | 4.14E−07 | 1.99E−06*** | 5.41E−07 |
| M(1,2) | 2.34E−07*** | 5.39E−08 | 1.71E−07*** | 6.59E−08 |
| M(2,2) | 1.82E−07*** | 3.11E−08 | 1.75E−07*** | 4.07E−08 |
| A1(1,1) | 0.296386*** | 0.015574 | 0.283690*** | 0.022250 |
| A1(2,2) | 0.417817*** | 0.018979 | 0.391110*** | 0.027008 |
| B1(1,1) | 0.944550*** | 0.005950 | 0.948058*** | 0.007589 |
| B1(2,2) | 0.892894*** | 0.009765 | 0.902446*** | 0.012494 |
| t-dist coef | 7.11169*** | 0.997217 | ||
| Log likelihood | 10278.98 | Log likelihood | 10333.92 | |
| Avg. log likelihood | 4.131423 | Avg. log likelihood | 4.153503 | |
| Akaike info criterion | −16.51122 | Akaike info criterion | −16.59793 | |
| Schwarz criterion | −16.47414 | Schwarz criterion | −16.55673 | |
| Hannan–Quinn criterion | −16.49728 | Hannan–Quinn criterion | −16.58244 | |
Note(s): Rs: TA-35 returns; Rb: Tel-Bond 20 returns; Significance: ***1%; **5% and *10%. Obs.: 1,244
Source(s): Author’s own work
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