Problem:
An investor wants to form a two asset portfolio consisting of Treasury bills with a return of 1.5% and a risky portfolio with a risk premium of 12.7% and a standard deviation of 22%. The investor wants the standard deviation of the two asset portfolio to be no more than 15%.
Required:
Question 1: What fraction y of the investor's funds should be invested in the risky portfolio?
Question 2: What is the expected return of the two asset portfolio?
Note: Please show how to work it out.