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Assume Stocks A and B have the following characteristics: Stock Expected Return (%) Standard Deviation (%) A 9.2 33.2 B 15.2 62.2 The covariance between
Assume Stocks A and B have the following characteristics: |
Stock | Expected Return (%) | Standard Deviation (%) |
A | 9.2 | 33.2 |
B | 15.2 | 62.2 |
The covariance between the returns on the two stocks is .0012. |
a. | Suppose an investor holds a portfolio consisting of only Stock A and Stock B. Find the portfolio weights, XA and XB, such that the variance of his portfolio is minimized. (Hint: Remember that the sum of the two weights must equal 1.) (Do not round intermediate calculations and round your answers to 4 decimal places, e.g., .3216.) |
b. | What is the expected return on the minimum variance portfolio? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) |
c. | If the covariance between the returns on the two stocks is .05, what are the minimum variance weights? (Do not round intermediate calculations and round your answers to 4 decimal places, e.g., .3216.) |
d. | What is the variance and standard deviation of the portfolio in part (c)? (Do not round intermediate calculations. Round your variance answer to 4 decimal places, e.g., .3216. Enter your standard deviation answer as a percent, rounded to 2 decimal places, e.g., 32.16.) |
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