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You own a portfolio containing the following stocks. Security Weight Beta A 0.133 3.33 B 0.2 1.2 C 0.267 1.65 D 0.4 0.38 Calculate

You own a portfolio containing the following stocks.

 

SecurityWeightBeta
A0.1333.33
B0.21.2
C0.2671.65
D0.40.38



Calculate the following statistics: (1/100 of one percent without % sign, e.g. 12.671, if a negative percentage, -9.56):

 

1)        Portfolio Beta:

 

12) Suppose you have $10,000 to invest and you have purchased the following securities.

 

Stock A

Stock B

$ Amount

$4,000

$6,000

Mean return

19.65%

8.96%

Standard deviation (sample)

40%

20%

Correlation coefficient

+0.25


Calculate the following statistics: (1/100 of one percent without % sign, e.g. 12.671, if a negative percentage, -9.56):

1)      Expected portfolio return: 

2)      Expected portfolio standard deviation: 


13) After extensive analysis, you predict the following returns for stocks A and B for three possible outcomes. Assume there are only three possible outcomes.

Outcome

Probability

Annual return

 

 

Stock A

Stock B

Boom

20%

20%

30%

Normal

50%

15%

20%

Recession

30%

-10%

-15%


Calculate the following statistics: (1/1000 of one percent without % sign, e.g. 12.671, if a negative percentage, -9.56):

1)      Expected return for stock A: 

2)      Expected return for stock B: 

3)      Standard deviation for stock A:

4)      Standard deviation for stock B:


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SOLUTION 1 Portfolio Beta To calculate the portfolio beta we need to multiply the weight of each stock by its corresponding beta and then sum up the results Portfolio Beta Weight of A Beta of A Weight ... blur-text-image

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