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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

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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 Var(X)=Var(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 ? 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 Var(X)=Var(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

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