Question
1. The standard deviation of the market-index portfolio is 20%. Stock A has a beta of 2.00 and a residual standard deviation of 30%. a-1.
1.
The standard deviation of the market-index portfolio is 20%. Stock A has a beta of 2.00 and a residual standard deviation of 30%. |
a-1. | Calculate the total variance for an increase of 0.10 in its beta? (Do not round intermediate calculations. Round your answer to 4 decimal places.) |
Total variance |
a-2. | Calculate the total variance for an increase of 2.62% in its residual standard deviation? (Do not round intermediate calculations. Round your answer to 4 decimal places.) |
Total variance |
b. | An investor who currently holds the market-index portfolio decides to reduce the portfolio allocation to the market index to 90% and to invest 10% in stock A. Which of the following changes will have a greater impact on the portfolio's standard deviation? | ||||
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2.
Consider the following table: |
Stock Fund | Bond Fund | ||
Scenario | Probability | Rate of Return | Rate of Return |
Severe recession | 0.05 | 44% | 13% |
Mild recession | 0.25 | 16% | 11% |
Normal growth | 0.40 | 10% | 4% |
Boom | 0.30 | 30% | 3% |
b. | Calculate the values of mean return and variance for the stock fund. (Do not round intermediate calculations. Round "Mean return" value to 1 decimal place and "Variance" to 4 decimal places.) |
Mean return | % |
Variance | |
c. | Calculate the value of the covariance between the stock and bond funds. (Negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 4 decimal places.) |
Covariance |
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