In: Finance
Assume analysts provide the following types of information. Further assume that short sales are allowed.
| Security | Mean Return  | 
Standard Deviation  | 
| A | 10% | 4% | 
| B | 12% | 10% | 
| Risk-free asset | 5% | 0% | 
It is also known that the correlation coefficient between A and B is ρ=0.5.
a) What is the optimum portfolio of risky assets? What is the return and standard deviation of this optimal portfolio? [4.0]
b) Suppose you have $1000. How much should you invest in this portfolio and the risk-free asset if you wish to get 20% expected return? [1.0]