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You are asked to create an optimal tangent portfolio using three stocks (FB, TSLA, BA) assuming a risk-free rate is zero. Find optimal weights for

You are asked to create an optimal tangent portfolio using three stocks (FB, TSLA, BA) assuming a risk-free rate is zero. Find optimal weights for the tangent portfolio satisfying the following condition:

where w1 is a weight allocated to FB, w2 is a weight allocated to TSLA, and w3 is a 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 ________%. (Note: round to the nearest hundredth.)

2. The optimal weight for TSLA is ________%. (Note: round to the nearest hundredth.)

3. The optimal weight for BA is_________%. (Note: round to the nearest hundredth.)

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