What is the standard deviation of the analysts profit

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Reference no: EM131316111

Assume a market index represents the common factor and all stocks in the economy have a beta of 1. Firm-specific returns all have a standard deviation of 43%.

Suppose an analyst studies 20 stocks and finds that one-half have an alpha of 2.4%, and one-half have an alpha of –2.4%. The analyst then buys $1.5 million of an equally weighted portfolio of the positive-alpha stocks and sells short $1.5 million of an equally weighted portfolio of the negative-alpha stocks.

a. What is the expected return (in dollars), and what is the standard deviation of the analyst’s profit?

b. How does your answer change if the analyst examines 50 stocks instead of 20? 100 instead of 20?

Reference no: EM131316111

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