Indicate whether each of the following matrices is a valid variance-covariance matrix for the three assets P, Q, and R. For all cases, write down the reason why the matrix is or is not a valid variance-covariance matrix. (no marks for not providing full explanation, 3 marks each).
1
0.32 |
0.14 |
0.25 |
0.14 |
0.23 |
0.02 |
0.25 |
0.02 |
-0.04 |
2
1.98 |
0.21 |
0.04 |
0.21 |
0.90 |
0.01 |
0.04 |
0.01 |
0.30 |
3
0.18 |
-0.03 |
0.00 |
-0.03 |
0.04 |
0.00 |
0.00 |
0.00 |
0.10 |
4
0.16 |
-0.01 |
0.11 |
-0.01 |
0.09 |
-0.14 |
0.22 |
-0.14 |
0.04 |
5
0.02 |
0.08 |
0.03 |
0.08 |
0.02 |
0.07 |
0.03 |
0.07 |
0.02 |
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