security |
beta |
Standard deviation |
Expected return |
S&P 500 |
1.0 |
20% |
10% |
Risk free security |
0 |
0 |
4% |
Stock d |
( ) |
30% |
13% |
Stock e |
0.8 |
15% |
( ) |
Stock f |
1.2 |
25% |
( ) |
5) A complete portfolio of $1000 is composed of the risk free security and a risky portfolio, P, constructed with 2 risky securities, X and Y. The optimal weights of X and Y are 80% and 20% respectively. Given the risk free rate of 4%. X has an expected return of 10%, and Y has an expected return 12%
a) find expected return on the risky portfolio, P
b) To form a complete portfolio with an expected return 7.2%, how much should you invest in the risk free security, securities X and Y, respectively?
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