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The covariance between the returns of A and B is −0.112. The standard deviation of the rates of return is 0.26 for stock A and 0.81 for stock B. The correlation of the rates of return between A and B is the closest to __________.Multiple Choice1.880.53−1.88−0.53

Question

The covariance between the returns of A and B is −0.112. The standard deviation of the rates of return is 0.26 for stock A and 0.81 for stock B. The correlation of the rates of return between A and B is the closest to __________.Multiple Choice1.880.53−1.88−0.53

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Solution

The correlation between two variables can be calculated using the formula:

Correlation = Covariance / (Standard Deviation of X * Standard Deviation of Y)

Given in the problem:

Covariance = -0.112 Standard Deviation of A = 0.26 Standard Deviation of B = 0.81

Substituting these values into the formula:

Correlation = -0.112 / (0.26 * 0.81)

Calculating the above expression gives us:

Correlation = -0.53

So, the correlation of the rates of return between A and B is closest to -0.53.

This problem has been solved

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The covariance between the two stock returns is                         .

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