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The market portfolio has an expected return of 11.7 percent and a standard devia

ID: 2825951 • Letter: T

Question

The market portfolio has an expected return of 11.7 percent and a standard deviation of 21.7 percent. The risk-free rate is 4.7 percent.

What is the expected return on a well-diversified portfolio with a standard deviation of 8.7 percent? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places (e.g., 32.16).)

What is the standard deviation of a well-diversified portfolio with an expected return of 19.7 percent? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places (e.g., 32.16).)

The market portfolio has an expected return of 11.7 percent and a standard deviation of 21.7 percent. The risk-free rate is 4.7 percent.

a.

What is the expected return on a well-diversified portfolio with a standard deviation of 8.7 percent? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places (e.g., 32.16).)

     Expected return %
b.

What is the standard deviation of a well-diversified portfolio with an expected return of 19.7 percent? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places (e.g., 32.16).)

     Standard deviation %  

Explanation / Answer

a. expected return = 4.7% + 8.7/21.7 *(11.7 - 4.7)

expected return = 7.51%

b. standard deviation = (19.7 - 4.7)/(11.7 - 4.7) * 21.7%

standard deviation = 46.50%