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5) You own a portfolio containing the following stocks. Stock A Stock B Stock C Stock D $ Amount $10,000 $5,000 $18,000 $7,000 Expected return

5) You own a portfolio containing the following stocks.

Stock A

Stock B

Stock C

Stock D

$ Amount

$10,000

$5,000

$18,000

$7,000

Expected return

15.50%

9.80%

12.70%

20.90%

Stock beta

0.95

1.10

0.85

0.60

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: Answer

2)Expected portfolio standard deviation:

6) 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

30%

15%

25%

Normal

40%

10%

20%

Recession

30%

2%

1%

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:

7) Suppose you have $15,000 to invest and you have purchased the following securities.

Stock A

Stock B

$ Amount

$6,000

$9,000

Mean return

20.45%

10.85%

Standard deviation (sample)

35%

15%

Correlation coefficient

-0.85

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:

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