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Suppose all stocks had a standard deviation of 30% and a correlation with each other of .4. What is the standard deviation of the returns

Suppose all stocks had a standard deviation of 30% and a correlation with each other of .4. What is the standard deviation of the returns on a portfolio that has equal holdings in 50 stocks?

Am I making this more complicated than it needs to be? The solution is .192562 but i'm not sure how I got there.

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