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A) The following table represents a portfolio of two (2) assets: State of Nature Probability of State of Nature Return of Stock A under Different

A) The following table represents a portfolio of two (2) assets:

State of Nature

Probability of State of Nature

Return of Stock A under Different State of Nature

Return of Stock B under Different State of Nature

Boom

Normal

Recession

0.3

0.5

0.2

20%

10%

5%

25%

20%

10%

  1. What is the expected return on Stock A and Stock B? (2 marks)
  2. What is the standard deviation of returns of Stock A and Stock B? (4 marks)
  3. Which Stock is more volatile?

B) Suppose you use J$100 000 to construct a portfolio comprising of Stock A and stock B, such that you invest J$30 000 and J $70 000 in Stock A and Stock B respectively. Also

you have done some research and estimated the Beta (B) of the Stocks to be: Stock A=0.75 and Stock B=0.50.

Use the expected returns calculated for each stock in (A), above to calculate the following:

  1. The expected return on the portfolio. (4 marks)
  2. Calculate the expected beta of the portfolio. (3 marks)
  3. Explain briefly how you would approach diversifying this portfolio. (5 marks)

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