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Suppose each stock in a portfolio has a correlation coefficient of 0.35 with each of the other stocks. The market's average standard deviation is about

Suppose each stock in a portfolio has a correlation coefficient of 0.35 with each of the other stocks. The market's average standard deviation is about 21%, and the weighted average of the risk of the individual stocks in the portfolio is 27%. If 50 additional, randomly selected stocks with a correlation coefficient of 0.30 with other stocks in the portfolio were added to the portfolio, what effect would this have on the portfolio's standard deviation?

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A) It would gradually settle at about 21%, the market's standard deviation.

B) It would gradually settle at about 35%.

C) It would gradually settle at about 54%.

D) It would stay constant at 27%.

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