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% |