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QUESTION 1 An analyst estimates that a stock has the following return probabilities and returns depending on the state of the economy. Calculate the percentage

QUESTION 1

An analyst estimates that a stock has the following return probabilities and returns depending on the state of the economy. Calculate the percentage expected rate of returns.

Stae of Economy

Prob.

Return

Good

0.2

19%

Normal

0.4

12

Poor

?

6

QUESTION 2

Use the following table of states of the economy and stock returns to calculate the percentage standard deviation for Bradley.

Security Returns

if State Occurs

Prob of State of Economy

Roten

Bradley

Bust

0.5

-10%

22.2%

Boom

?

40

7.1

QUESTION 3

Use the following table of states of the economy and stock returns to calculate the expected return on a portfolio of 49 percent Roten and the rest in Bradley.

Security

if State

Returns

Occurs

Prob of State of Economy

Roten

Bradley

Bust

0.8

-12%

29%

Boom

?

46

7

QUESTION 4

Use the following table of states of the economy and stock returns to calculate the percentage standard deviation of a portfolio of a portfolio of 80 percent Roten and the rest in Bradley.

Security

if State

Returns

Occurs

Prob of State of Economy

Roten

Bradley

Bust

0.2

-12%

30%

Boom

?

37

5

QUESTION 5

Use the following information to calculate the percentage expected return a portfolio that is 39.7 percent invested in 3 Doors, Inc., and the rest invested in Down Co.:

3 Dorrs, Inc.

Down Co.

Expected return

23%

13%

Standard deviation

39

9

Correlation

88

QUESTION 6

Use the following information to calculate the percentage standard deviation of a portfolio that is 72.5 percent invested in 3 Doors, Inc., and the rest invested in Down Co.:

3 Dorrs, Inc.

Down Co.

Expected return

16%

9%

Standard deviation

50

32

Correlation

0.35

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