Question: Assume that the CAPM holds and that the expected return on the market portfolio is E[RM] = 0.08 and the standard deviation of market returns

 Assume that the CAPM holds and that the expected return on

Assume that the CAPM holds and that the expected return on the market portfolio is E[RM] = 0.08 and the standard deviation of market returns is om = 0.15. The correlation between the return on the market portfolio and the return on stock A is -0.1. The expected return on stock A is E[RA] = 0.03 and the standard deviation of stock A's returns is A = 0.20. Part A (8 Marks) 0 What is the market beta of stock A? Part B (4 Marks) o What is the risk-free rate? Part C (10 Marks) o There is also another stock, B. The expected return on stock B is E[RB] = 0.12, its standard deviation is Og = 0.50, its market beta is BB = 1.1, and its returns are perfectly negatively correlated with returns on stock A (i.e., p = -1). Show that there is an arbitrage opportunity. Describe a strategy that would get you a free lunch. In this strategy, you can trade stock A, stock B, and the risk-free asset at the risk-free rate you computed in part (b). (Hint: What is the return on the minimum-variance portfolio of stocks A and B?) Part D (8 Marks) o Keeping other things constant, what is the expected return on stock B in part (c) such that there is no arbitrage opportunity

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