In: Finance
question 8 parts a-e
a
Returns on stocks X and Y are listed below:
Period | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
---|---|---|---|---|---|---|---|
Stock X | 8% | 0% | 3% | -2% | 5% | 12% | 7% |
Stock Y | 5% | -2% | 4% | 7% | 1% | 12% | -3% |
What is the correlation of returns on the two stocks?
Please round your answer to the nearest hundredth.
Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.
b
Returns on stocks X and Y are listed below:
Period | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
---|---|---|---|---|---|---|---|
Stock X | 6% | 5% | -2% | 10% | 3% | 8% | -4% |
Stock Y | 11% | 7% | 10% | -2% | 3% | 5% | -1% |
Consider a portfolio of 70% stock X and 30% stock Y.
What is the mean of portfolio returns?
Please specify your answer in decimal terms and round your answer to the nearest thousandth (e.g., enter 12.3 percent as 0.123).
c
Returns on stocks X and Y are listed below:
Period | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
---|---|---|---|---|---|---|---|
Stock X | -5% | 4% | 3% | 9% | 1% | -3% | 4% |
Stock Y | 12% | 7% | -3% | -2% | 4% | 6% | -1% |
Consider a portfolio of 60% stock X and 40% stock Y.
What is the (population) variance of portfolio returns?
Please round your answer to six decimal places.
Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.
d
Summary statistics for returns on two stocks X and Y are listed below.
Mean | Variance | |
---|---|---|
Stock X | 2.35% | 0.007000 |
Stock Y | 4.53% | 0.003000 |
The covariance of returns on stocks X and Y is 0.002700. Consider a portfolio of 70% stock X and 30% stock Y.
What is the mean of portfolio returns?
Please specify your answer in decimal terms and round your answer to the nearest thousandth (e.g., enter 12.3 percent as 0.123).
e
Summary statistics for returns on two stocks X and Y are listed below.
Mean | Variance | |
---|---|---|
Stock X | 3.41% | 0.003000 |
Stock Y | 5.25% | 0.004000 |
The covariance of returns on stocks X and Y is 0.001800. Consider a portfolio of 20% stock X and 80% stock Y.
What is the variance of portfolio returns?
Please round your answer to six decimal places.
Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.