An Introduction to Mathematical Finance with Applications (Arlie O.Petters and Xiaoying Dong) Chapter 3, Problem 15

Suppose a client just inherited $1,000,000 and has come to you seeking advice on how to split the money between two of his favorite securities so as to maximizereturn.Security A has expected rate of return rA =0.13 and standard deviation of A = 0.15. Security B has expected rate of return rB = 0.14 and standard deviation B = 0.20.The correlation coefcient between their rates of returnis =0.3.If the investor has a utility function U(x)= 3 x,how should he invest ineachstock to maximizehis overall rate of return?