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Coleman is considering investing his funds in two assets. His assessment of each investment is as follows: Item Asset 1 Asset 2 Expected Return (%)

Coleman is considering investing his funds in two assets. His assessment of each investment is as follows:

Item

Asset 1

Asset 2

Expected Return (%)

15

15

Standard Deviation (%)

10

25

Required:

  1. If the correlation coefficient is 0.75, and Coleman decides to put 35% of his funds in Asset 1, what are the expected return and the standard deviation of return of Colemans Portfolio? Is Coleman better or worse off as a result of investing in two assets (Asset 1 and Asset 2) rather than just in one asset? (9 marks)
  2. If the correlation coefficient is 0.25, and Coleman decides to put 65% of his funds in Asset 1, what is the standard deviation of return of Colemans Portfolio? Is Coleman better or worse off if he splits his funds in this way?
  3. If the correlation coefficient is -0.25, and Coleman decides to put 35% of his funds in Asset 1, what is the standard deviation of return of Colemans Portfolio? Is Coleman better or worse off if he splits his funds in this way?
  4. If the correlation coefficient is -0.75, and Coleman decides to put 65% of his funds in Asset 1, what is the standard deviation of return of Colemans Portfolio? (5 marks). Is Coleman better or worse off if he splits his funds in this way?

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