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Problem D Suppose that two stocks, A and B, have the same beta B = 1. The standard deviations of the idiosyncratic returns for the
Problem D Suppose that two stocks, A and B, have the same beta B = 1. The standard deviations of the idiosyncratic returns for the two stocks, A and B, are the same and equal to 30% (Using the notation in our class, 01 = 0 cp = 30%). Suppose that an analyst uses CAPM to study the two stocks, and finds that stock A has an alpha of 2% and the stock B has an alpha of -2%. Suppose the analyst buys $10,000 of stock A, and short sells $10,000 of stock B. (Hint: If CAPM holds, then expected return of any stock i is R; = a; + R; +B:(Rm - Rp) + Ei. Rf is the risk-free return, Rm is the market return and Ei is the idiosyncratic return. The expectation of the idiosyncratic return for any stock is equal to 0%. Think about the covariance of idiosyncratic returns for any two stocks.) 5. What is the expectation and standard deviation of the analyst's profit in dollars)? Problem D Suppose that two stocks, A and B, have the same beta B = 1. The standard deviations of the idiosyncratic returns for the two stocks, A and B, are the same and equal to 30% (Using the notation in our class, 01 = 0 cp = 30%). Suppose that an analyst uses CAPM to study the two stocks, and finds that stock A has an alpha of 2% and the stock B has an alpha of -2%. Suppose the analyst buys $10,000 of stock A, and short sells $10,000 of stock B. (Hint: If CAPM holds, then expected return of any stock i is R; = a; + R; +B:(Rm - Rp) + Ei. Rf is the risk-free return, Rm is the market return and Ei is the idiosyncratic return. The expectation of the idiosyncratic return for any stock is equal to 0%. Think about the covariance of idiosyncratic returns for any two stocks.) 5. What is the expectation and standard deviation of the analyst's profit in dollars)
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