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Asset W has an expected return of 13.85 percent and a beta of 1.42. If the risk-

ID: 2751998 • Letter: A

Question

Asset W has an expected return of 13.85 percent and a beta of 1.42. If the risk-free rate is 4.67 percent, complete the following table for portfolios of Asset W and a risk-free asset. (Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Enter your portfolio expected return answers as a percentage and round to 2 decimal places (e.g., 32.16). Round your portfolio beta answers to 3 decimal places (e.g., 32.161).)

Percentage of Portfolio Portfolio Portfolio in Asset W Expected Return Beta 0%    % 25       % 50       % 75       % 100       % 125       % 150       %

Explanation / Answer

Percentage of portfolio in asset W

Portfolio Expected return

Portfolio beta

0%

4.67%

0

25%

6.97%

0.355

50%

9.26%

0.71

75%

11.56%

1.065

100%

13.85%

1.42

1.

Portfolio expected return = Expected return of risk free asset = 4.67%

Portfolio beta    = Beta of risk free asset = 0

2.

Portfolio expected return = (13.85%*.25) + (4.67% * .75) = 6.97%

Portfolio beta    = (1.42 * 0.25) + ( 0 * 0.75) = 0.355

3.

Portfolio expected return = (13.85%*.50) + (4.67% * .50) = 9.26%

Portfolio beta    = (1.42 * 0.50) + ( 0 * 0.50) = 0.71

4.

Portfolio expected return = (13.85%*.75) + (4.67% * .25) = 11.56%

Portfolio beta    = (1.42 * 0.755) + ( 0 * 0.25) = 1.065

5.

Portfolio expected return = expected return of asset W = 13.85%

Portfolio beta    = Beta of asset W = 1.42

Percentage of portfolio in asset W

Portfolio Expected return

Portfolio beta

0%

4.67%

0

25%

6.97%

0.355

50%

9.26%

0.71

75%

11.56%

1.065

100%

13.85%

1.42