You have performed the James optimization on a portfolio with 3 assets whose risk/return characteristics are summarized in the table below:
Asset 1 |
Asset 2 |
Asset 3 |
|
E[r] |
5.00% |
10.00% |
15.00% |
s.d. |
10.00% |
15.00% |
20.00% |
The ‘bordered matrix’ for the optimal risky portfolio based on these three assets is given below:
Bordered matrix |
W1 |
W2 |
W3 |
|
-1.522 |
1.585 |
0.938 |
||
W1 |
-1.522 |
0.0232 |
-0.0261 |
-0.0044 |
W2 |
1.585 |
-0.0261 |
0.0565 |
-0.0033 |
W3 |
0.938 |
-0.0044 |
-0.0033 |
0.0352 |
Please, find the optimal risky portfolio’s standard deviation return. Express your answer as a percentage with 3 digits after the decimal point.
optimal risky portfolio’s standard deviation return = 59.61%
W1 | W2 | w3 | ||
-1.522 | 1.585 | 0.938 | ||
W1 | -1.522 | 0.0232 | -0.0261 | -0.0044 |
W2 | 1.585 | -0.0261 | 0.0565 | -0.0033 |
W3 | 0.938 | -0.0044 | -0.0033 | 0.0352 |
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