Answer:
0.296875
Explanation:
Given the following :
Probability distribution of risky funds :
- - - - - - - - - - - - - - stock fund(S) - - bond fund(B)
Expected return - - - 15% - - - - - - - - - - 9%
Std - - - - - - - - - - - - - 32% - - - - - - - - - - 23%
Correlation between funds return = 0.15
Sure rate = 5.5%
To calculate the Sharpe ratio we use the formula :
Sharpe Ratio = (Expected Return of Investment - Risk Free Rate) / Standard Deviation of excess return of investment
For the stock fund :
Expected return = 15%
Risk free rate = market sure rate = 5.5%
Standard deviation = 32%
Sharpe ratio of stock fund :
(15% - 5.5%) / 32%
= 9.5% / 32%
= 0.296875
For Bond fund :
Expected return = 9%
Risk free rate = market sure rate = 5.5%
Standard deviation = 23%
Sharpe ratio of bond fund :
(9% - 5.5%) / 23%
= 3.5% / 23%
= 0.1521739
Therefore the Sharpe ratio of the best feasible CAL is the higher of the two ratios which is 0.296875