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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 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 of stock A if its beta is increased by 0.10? (Do not round intermediate calculations. Enter your answer as a decimal rounded to 4 decimal places.)

Total variance

a-2.

Calculate the total variance of stock A if its residual standard deviation is increased by 2.62% ? (Do not round intermediate calculations. Enter your answer as a decimal rounded 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 (increase of .10 in beta or increase of 2.62% in residual standard deviation) will have a greater impact on the portfolio's standard deviation?

  • Both will have the same impact.

  • Increase of 2.62% in residual standard deviation will have a greater impact.

  • Increase of .10 in beta will have a greater impact

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