Question
All sub-questions a) - l) relate to the following information: You are of the view that the market is not in a CAPM equilibrium. Therefore,
All sub-questions a) - l) relate to the following information:
You are of the view that the market is not in a CAPM equilibrium. Therefore, you want to construct an Active Portfolio which, when combined with the Market Portfolio, will be expected to earn a superior Sharpe Ratio then the Market Portfolio alone.
The risk free rate in the market is 3% and the total return on the Market Portfolio is 10%. The risk of the Market Portfolio, measured by its standard deviation, is 11%.
You believe the following 3 assets could form part of your Active Portfolio:
Stock A | Stock B | Stock C | |
Beta | 0.6 | 1.1 | 1.5 |
Actual Total Return | 8.1% | 10.7% | 15.0% |
Total Risk (Standard Deviation) | 18.80% | 17.50% | 21.50% |
d) Describe where each of the stocks A, B and C would plot in relation to the Security Market Line (on the line, over the line or below the line) (1 mark)
e) Which of the 3 stocks will you include in your Active Portfolio? (0.5 marks)
f) What is the unsystematic risk of each of the 3 stocks (defined by the residual variance)?
Stock A's unsystematic risk (variance) is ___________?
Stock B's unsystematic risk (variance) is ___________?
Stock C's unsystematic risk (variance) is ___________?
(1.5 marks)
Enter your answer to 3 decimal places eg if your answer is 6.54% enter as 0.065.
g) What is the alpha of the Active Portfolio? (1 mark)
Enter your answer to 4 decimal places eg if your answer is 6.54% enter as 0.0654.
h) What is the beta of the Active Portfolio? (1 mark)
Enter your answer to 2 decimal places eg if your answer is 1.732 enter as 1.73
i) What is the reward to risk ratio of the Active Portfolio? (2 marks)
Enter your answer to 3 decimal places eg if your answer is 6.54% enter as 0.065.
j) Derive the information ratio for the Active Portfolio and provide a description of what the information ratio means. (1.5 marks)
Enter your answer to 3 decimal places eg if your answer is 6.54% enter as 0.065.
k) The optimal weighting in the Active Portfolio w*A is ____________ and the optimal weighting in the Market Portfolio is ___________? (2 marks)
l) What is the Sharpe Ratio of your resulting Optimal Risky Portfolio P* comprising the combination of your Active Portfolio with the Market Portfolio? (2 marks)
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