Assume that stock market returns have the market index as a common factor, and that all stocks in the economy have a beta of 1.7 on the market index. Firm-specific returns all have a standard deviation of 25%. Suppose that an analyst studies 20 stocks and finds that one-half of them have an alpha of +2.5%, and the other half have an alpha of 2.5%. Suppose the analyst invests $1.0 million in an equally weighted portfolio of the positive alpha stocks, and shorts $1 million of an equally weighted portfolio of the negative alpha stocks. a. What is the expected profit (in dollars) and standard deviation of the analysts profit?

b. Create an Excel sheet and analyze how the standard deviation of "returns" change if we invest in N stocks? (for values of N between 20 and 200, with 10 unit increments.) c. Do you see a pattern for the changes in the standard deviation as we change N? d. If you are an investment advisor, what would be your recommended number of assets to the client?