Suppose you have a two stock portfolio $($Purple Acre and Green Acre$).$ Purple Acre$$s stock has an expected return of $9\%$ and a standard deviation of $32\%.$ Green Acre$$s stock has an expected return of $14\%$ and a standard deviation of $54\%.$ The correlation between the two stocks is $0\mathrm{.}4.$ What is the minimum variance portfolio$$s expected return? $($Hint: first find the weights for the minimum variance portfolio$)$