Question: You are asked to create an optimal minimum variance portfolio using three stocks (FB, TSLA, BA). Find optimal weights for the minimum variance portfolio satisfying

You are asked to create an optimal minimum variance portfolio using three stocks (FB, TSLA, BA). Find optimal weights for the minimum variance portfolio satisfying the following condition:

w1 + w2 + w3 = 1 all are greater than > or equal to 0

where w1 is an weight allocated to FB, w2 is an weight allocated to TSLA, and w3 is an weight allocated to BA. The average returns for FB, TSLA, BA are -0.28%, 0.99%, -0.39%, respectively. The covariance matrix is given by

FB TSLA BA
FB 0.04% 0.04% 0.02%
TSLA 0.04% 0.41% 0.02%
BA 0.02% 0.02% 0.04%

1. The optimal weight for FB is

2. The optimal weight for TSLA is

3. The optimal weight for BA is

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