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As the correlation between the returns of two assets becomes lower, the risk reduction potential becomes:
A)
smaller.
B)
greater.
C)
decreased by the same level.



Perfect positive correlation (r = +1) of the returns of two assets offers no risk reduction, whereas perfect negative correlation (r = -1) offers the greatest risk reduction.

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Adding a stock to a portfolio will reduce the risk of the portfolio if the correlation coefficient is less than which of the following?
A)
0.00.
B)
+1.00.
C)
+0.50.



Adding any stock that is not perfectly correlated with the portfolio (+1) will reduce the risk of the portfolio.

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Stock A has a standard deviation of 4.1% and Stock B has a standard deviation of 5.8%. If the stocks are perfectly positively correlated, which portfolio weights minimize the portfolio’s standard deviation?
Stock AStock B
A)
63%37%
B)
0%100%
C)
100%0%




Because there is a perfectly positive correlation, there is no benefit to diversification. Therefore, the investor should put all his money into Stock A (with the lowest standard deviation) to minimize the risk (standard deviation) of the portfolio.

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