Question
1. If you have one security with an expected return of 7% and a standard deviation of 2% and a second security with an expected
1. If you have one security with an expected return of 7% and a standard deviation of
2% and a second security with an expected return of 13% and a standard deviation of
2.4%, what would be the expected return of a portfolio that consists of 30% of the
first security and 70% of this second security?
A. 10.1% B. 11.2% C. 11.7% D. 12.5% E. 12.7%
2. If the correlation coefficient between the two securities is -.30, what is the standard
deviation of the portfolio in the previous problem?
A. 1.605 B. 1.912 C. 2.285 D. 2.479 E. 2.585
Use this info for the next five problems.
State
Probability
Return on A Return on B
Boom
.05
12% 9%
Norm
.20
6% 4%
Bust
.75
2% - 4%
3. What is the standard deviation of A?
A. 2.12 B. 2.55
C. 2.76
D. 2.92 E. 3.14
4. What is the standard deviation of B?
A. 4.02 B. 4.45
C. 4.73
D. 4.91 E. 5.02
5. What is the covariance of A and B?
A. 8.12 B. 8.55
C. 9.26
D. 9.52 E. 9.98
6. What is the correlation coefficient of A and B?
A. .79
B. .82
C. .87
D. .97 E. 1.22
7. What is the standard deviation of a portfolio with 20% of the funds invested in A and the rest in B?
A. 3.72 B. 3.94
C. 4.12
D. 4.35 E. 4.58
Use this info for the next five problems.
State
Probability
Return on C Return on D
Boom
.25
10% 5%
Norm
.40
6% 10%
Bust
.35
2% 5%
8. What is the standard deviation of C?
A. 2.62 B. 2.85
C. 3.07
D. 3.22 E. 3.34
9. What is the standard deviation of D?
A. 2.02 B. 2.45
C. 2.73
D. 2.91 E. 3.02
10. What is the covariance of C and D?
A. 0.8
B. 1.2
C. 1.4
D. 1.8 E. 2.2
11. What is the correlation coefficient of C and D?
A. .11
B. .22
C. .27
D. .33 E. .39
12. What is the standard deviation of a portfolio with 40% of the funds invested in C and the rest in D?
A. 2.01 B. 2.94
C. 3.12
D. 3.35 E. 3.58
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