In: Finance
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 %?
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%