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The securities of companies Z and Y have the following expected returns and standard deviations: Company ZExpected Return (%) 15, Standard Deviation (%) 20 /

The securities of companies Z and Y have the following expected returns

and standard deviations:

Company ZExpected Return (%) 15, Standard Deviation (%) 20 / Company Y Expected Return (%) 35 Standard Deviation (%) 40.

Assume that the correlation between the returns of the two securities is

0.25.

(a) Calculate the expected return and standard deviation for the

following portfolios:

(1) 100%Z

(2) 75%Z + 25%Y

(3) 50%Z + 50%Y

(4) 25%X + 75%Y

(5) 100%Y

(b) Graph your results (standard deviation on the X axis, Expected

return on the Y axis).

(c) Which of the portfolios in part (a) is not optimal? Explain.

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