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Assume all stocks have a market index as a common factor and all stock have a beta to this factor equal to 1. All stocks

Assume all stocks have a market index as a common factor and all stock have a beta to this factor equal to 1. All stocks also have a firm-specific variance, =30%. An analyst studies 20 stocks and finds have 2% alpha, and have -2% alpha. So she decides to invest $1M in an equally weighted portfolio of positive alpha stocks and shorts $1M in an equally weighted portfolio of negative alpha stocks. What is the expected return of this long/short portfolio? What is the standard deviation of this long/short portfolio?

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