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Question 1 (7 points) Consider the following information: Probability of State of economy state Boom 0.2 Normal 0.5 Recession 0.3 Return Stock A 15% 7%

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Question 1 (7 points) Consider the following information: Probability of State of economy state Boom 0.2 Normal 0.5 Recession 0.3 Return Stock A 15% 7% 3% Return Stock B 9% 11% 13% i. What is the expected return of the portfolio made of 60% investment in Stock A and rest in Stock B? (1.5 marks] ii. What is the beta of the portfolio (in part i) if beta of A is 0.90 and beta of B is 1.7? [1 mark] iii. If the market risk premium is expected to be 4.25%, what must be the risk-free rate? (1.5 marks] iv. What would be the expected return of a portfolio consisting of equal investment in Stock A, Stock B, T-Bills and S&P 500? (1.5 marks] v. What is the beta of the portfolio (in part iv)? (1.5 marks]

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