Question
Consider the expected outcomes of Projects A and B: State of Nature Return Probability of Occurrence Project A Return Project B Return Recession 0.25 0.06
Consider the expected outcomes of Projects A and B:
State of Nature Return | Probability of Occurrence | Project A Return | Project B Return |
Recession | 0.25 | 0.06 | -0.20 |
Average Growth | 0.50 | 0.03 | 0.08 |
Prosperity | 0.25 | -0.06 | 0.40 |
Part A. If a portfolio holds 75% of B and 25% of A, what is the standard deviation of the portfolio?
A. 0.157
B. 0.022
C. 0.088
D. 0.149
Part B. If a portfolio holds 75% of B and 25% of A, what is the variance of the portfolio?
A. 0.022
B. 0.149
C. 0.088
D. 0.157
Part C. What is the variance of Project A?
A. 0.045
B. 0.004
C. 0.002
D. 0.008
Part D. What is the correlation coefficient of Projects A and B?
A. 0.21
B. -0.96
C. 0.96
D. -0.21
Part E. What is the standard deviation of Project A?
A. 0.008
B. 0.045
C. 0.002
D. 0.004
Part F. If a portfolio holds 75% of B and 25% of A, what is the expected return of the portfolio?
A. 7.13%
B. 10.5%
C. 5.75%
D. 7.50%
Part G. What is the covariance of Projects A and B?
A. -0.009
B. -0.036
C. 0.009
D. 0.036
Part H. What is the standard deviation of Project B?
A. 4.5%
B. 21.2%
C. 10.2%
D. 18.0%
Part I. What is the expected return of Project A?
A. 0%
B. 3%
C. 2%
D. 1.5%
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