Question
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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