In: Finance
For the next 7 questions suppose the following probability distribution for Stock Fund (S) and Bond Fund (B) holds:
| 
 Expected Return  | 
 SD (σ)  | 
 Correlation Coefficient  | 
|
| 
 Bond Fund  | 
 10%  | 
 10%  | 
 0  | 
| 
 Stock Fund  | 
 15%  | 
 25%  | 
What is the covariance between the Stock Fund and the Bond
Fund?
| 
 -120  | 
||
| 
 -100  | 
||
| 
 -75  | 
||
| 
 -60  | 
||
| 
 0  | 
What is the expected return on a portfolio which is 40% invested in the stock fund and the rest in the bond fund?
| 
 10%  | 
||
| 
 12%  | 
||
| 
 13%  | 
||
| 
 14%  | 
||
| 
 16%  | 
What is the standard deviation of the return on the above portfolio?
| 
 9.98%  | 
||
| 
 10.58%  | 
||
| 
 11.66%  | 
||
| 
 13.56%  | 
||
| 
 14.56  | 
Now, introduce the risk-free asset. If the risk-free rate of return is 8%, what is the proportion of the optimal (tangent) risky portfolio, invested in Stock Fund?
| 
 15.33%  | 
||
| 
 18.18%  | 
||
| 
 23.33%  | 
||
| 
 33.33%  | 
||
| 
 35.90%  | 
What is the expected return on the optimal (tangent) risky portfolio?
| 
 11.67%  | 
||
| 
 11.80%  | 
||
| 
 13.33%  | 
||
| 
 14.87%  | 
||
| 
 15.17%  | 
What is the standard deviation of the return on the optimal (tangent) risky portfolio?
| 
 9.21%  | 
||
| 
 9.57%  | 
||
| 
 10.67%  | 
||
| 
 11.03%  | 
||
| 
 13.54%  |