Question

In: Finance

Asset W has an expected return of 12.8 percent and a beta of 1.25. If the...

Asset W has an expected return of 12.8 percent and a beta of 1.25. If the risk-free rate is 4.7 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 expected returns as a percent rounded to 2 decimal places, e.g., 32.16, and your beta answers to 3 decimal places, e.g., 32.161.) Percentage of Portfolio in Asset W Portfolio Expected Return Portfolio Beta 0 % % 25 % 50 % 75 % 100 % 125 % 150 % If you plot the relationship between portfolio expected return and portfolio beta, what is the slope of the line that results? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

Slope of the line %?

Solutions

Expert Solution

Solution:

a)

Percentage of Portfolio inAsset W Percentage of Portfolio in Risk freeAssets Portfolio Expected Return Portfolio Beta
[a] [b = 100-a] [ c = a%*12.8% + b%*4.7%] [ d = a%*1.25 + b%*0]
0 100 4.70%                             0
25 75 6.73%                        0.313
50 50 8.75%                        0.625
75 25 10.78%                        0.938
100 0 12.80%                        1.250
125 -25 14.83%                        1.563
150 -50 16.85%                        1.875

b)

Slope of the line =( Expected Return in Asset W - RiskFree rate)/Beta

Slope of the line = (12.80% - 4.7%)/1.25

Slope of the line = 6.48%


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