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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?

Increase of 2.62% in residual standard deviation.
Increase of .10 in beta.

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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