Question
2.Your mentor has given you a set of data on another pair of stock fund and bond fund: Expected Returns (%) Standard Deviation (%) Stock
2.Your mentor has given you a set of data on another pair of stock fund and bond fund:
Expected Returns (%) | Standard Deviation (%) | |
Stock Fund | 18 | 35 |
Bond Fund | 7 | 19 |
The correlation coefficient between the fund returns is 0.05.
a. Given the T-bill rate is 3%. Calculate the weight in stock fund, expected return and standard deviation of the optimal risky portfolio. (6 marks)
b. Calculate the Sharpe ratio for the optimal risky portfolio. (2 marks)
c. Suppose an investor decides to invest in the optimal risky portfolio a proportion (y) of his total investment budget so that his overall portfolio will have an expected rate of return of 11%. (i) Calculate the proportion y? (2 marks) (ii) Calculate the standard deviation of the investors portfolio? (2 marks)
d. Draw the CAL on an expected return/standard deviation diagram which shows the slope of the CAL and the position of the investor on the CAL. (2 marks)
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