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The following table provides the share return forecasts and associated probabilities for X Coy. and Y Coy. Answer parts 'a' to 'c' using the information provided. Detailed worked solutions must be presented in your answers, including formulae used, progressive and final answers to the questions.
X Coy. 17.0 10.0
Y Coy. 60 20
Return (%) 20.0 10.0
Probability (%) 30 20
Return (%) 12.0 8.0
Probability (%) 20 50
Question (a) Calculate the expected return on each share.
Question (b) Calculate the variance and standard deviation for each share.
Question (c) Suppose a portfolio comprised of 70% investment in X Coy. and 30% investment in Y Coy. can be constructed. An analyst has estimated that the correlation coefficient of the two-asset portfolio is -0.30, calculate the return and standard deviation of this portfolio. Compare your answer with those reported in parts a. and b. and draw your conclusion.
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