As an active fund manager, you have obtained information on three individual stocks, the market index, and T-bills as follows:     Asset     Expected Return (%)   Total Standard Deviation (%)     Beta   Stock 1   20.0   80.00   1.8   Stock 2   16.0   60.00   1.4   Stock 3   6.0   50.00   0.8   Market Index   10.0   40.00   1.0   T-bills   4.0   0.00   0.0   You decide to use the above information to form an optimal active portfolio, consisting of the three individual stocks. Determine the corresponding weights for the three stocks in the optimal active portfolio. Show your work.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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As an active fund manager, you have obtained information on three individual stocks, the market index, and T-bills as follows:

 

 

Asset

 

 

Expected Return (%)

 

Total

Standard Deviation (%)

 

 

Beta

 

Stock 1

 

20.0

 

80.00

 

1.8

 

Stock 2

 

16.0

 

60.00

 

1.4

 

Stock 3

 

6.0

 

50.00

 

0.8

 

Market Index

 

10.0

 

40.00

 

1.0

 

T-bills

 

4.0

 

0.00

 

0.0

 

You decide to use the above information to form an optimal active portfolio, consisting of the three individual stocks. Determine the corresponding weights for the three stocks in the optimal active portfolio. Show your work.

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