Suppose an investor can invest in two stocks, whose returns are random variables X and Y , respectively. Both are assumed to have the same mean returns E(X) = E(Y ) = ; and they both have the same variance V ar(X) = V ar(Y ) = 2. The correlation between X and Y is some value .

The investor is considering two investment portfolios: (1) Purchase 5 shares of the first stock (each with return X) and 1 of the second (each with return Y ). (2) Purchase 3 shares of the first stock (each with return X) and 3 of the second (each with return Y ).

Assuming that the investor prefers higher mean and lower variance of the total return on the portfolio, for which values of , 2, and would the investor prefer plan 2 to plan 1?