Question
1. The standard deviation of the market-index portfolio is 10%. Stock A has a beta of 2.70 and a residual standard deviation of 20%. a.
1. The standard deviation of the market-index portfolio is 10%. Stock A has a beta of 2.70 and a residual standard deviation of 20%. a. Calculate the total variance for an increase of 0.10 in its beta. (Do not round intermediate calculations. Round your answer to the nearest whole number.)
Total variance %-Squared
b. Calculate the total variance for an increase of 1.33% in its residual standard deviation. (Do not round intermediate calculations. Round your answer to the nearest whole number.)
Total variance %-Squared
2.Consider the following table:
Stock Fund | Bond Fund | ||
Scenario | Probability | Rate of Return | Rate of Return |
Severe recession | 0.10 | 41% | 14% |
Mild recession | 0.20 | 21% | 20% |
Normal growth | 0.40 | 26% | 13% |
Boom | 0.30 | 31% | 10% |
|
a. 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 2 decimal places.)
Mean return | % | |
Variance | %-Squared | |
|
b. 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 2 decimal places.)
Covariance %-Squared
3.Consider the following table:
Stock Fund | Bond Fund | ||
Scenario | Probability | Rate of Return | Rate of Return |
Severe recession | 0.10 | 46% | 20% |
Mild recession | 0.20 | 24% | 14% |
Normal growth | 0.30 | 8% | 5% |
Boom | 0.40 | 44% | 5% |
|
a. 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 | %-Squared |
|
b. 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 %-Squared
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