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Indicate whether each of the following matrices is a valid variance-covariance matrix for the three assets A, B, and C. For all cases, write down
Indicate whether each of the following matrices is a valid variance-covariance matrix for the three assets A, B, and C. For all cases, write down the reason why the matrix is or is not a valid variance-covariance matrix. No marks without full and detailed justification. (2.5 marks each).
1
1.99 | -0.05 | -0.11 |
-0.05 | 2.99 | -0.02 |
-0.11 | -0.02 | -3.62 |
2
0.12 | 0.03 | 1.06 |
0.03 | 0.09 | 0.12 |
1.06 | 0.12 | 0.04 |
3
0.92 | 0.03 | 0.18 |
0.03 | 0.04 | 0.14 |
0.08 | 0.14 | 0.08 |
4
4.18 | 0.08 | 0.22 |
0.08 | 0.14 | 0.14 |
0.22 | 0.14 | 0.08 |
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