The covariance between the returns of stock A and stock B is −125. The standard deviation of the rates of return is 20 for stock A and 10 for stock B. The correlation coefficient of the rates of return between A and B is closest to __________.Multiple Choice−0.3750.3750.625−0.625
Question
The covariance between the returns of stock A and stock B is −125. The standard deviation of the rates of return is 20 for stock A and 10 for stock B. The correlation coefficient of the rates of return between A and B is closest to __________.Multiple Choice−0.3750.3750.625−0.625
Solution
The correlation coefficient is calculated by dividing the covariance by the product of the standard deviations of the two variables.
In this case, the covariance between the returns of stock A and stock B is -125. The standard deviation of the rates of return is 20 for stock A and 10 for stock B.
So, the correlation coefficient would be -125 / (20 * 10) = -125 / 200 = -0.625.
Therefore, the correlation coefficient of the rates of return between A and B is closest to -0.625.
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