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The table below shows the mean returns and standard deviations of returns of four stocks Stock A Stock B Stock C Stock D E(R) 10%

  1. The table below shows the mean returns and standard deviations of returns of four stocks

Stock A

Stock B

Stock C

Stock D

E(R)

10%

30%

30%

30%

Std. Dev.(R)

5%

25%

25%

25%

The correlations between stock A and the other three stocks are given below:

Stock B

Stock C

Stock D

Correlation coefficient of Stock A with:

0

1

-1

(20 marks in total)

  1. Compare the portfolio mean and standard deviation between three alternative portfolios:
  1. Portfolio AB with 70% in stock A and 30% in stock B
  2. Portfolio AC with 70% in stock A and 30% in stock C
  3. Portfolio AD with 70% in stock A and 30% in stock D

(12 marks)

  1. Sketch out the efficiency frontiers for the three combinations of: i) stock A & stock B; ii) stock A & stock C; iii) stock A & stock D. Identify the points i), ii), and iii) on the efficiency frontiers.

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