
Explanation:
The covariance can be derived by taking the correlation between the two assets and multiplying it by the standard deviation of each asset as follows:
The standard deviation is the square root of the variance, so each asset's variance must be converted into standard deviations as follows:
Standard deviation of A:
Standard deviation of B:
(Book 2, Module 15.2, LO 15.e)
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Question 95
A risk analyst for a small mutual fund is evaluating two assets, A and B, for potential inclusion in its fund. Based on 36 months of sample data, the assets have respective variances of 0.056 and 0.082 with a positive correlation of 0.46. The analyst should calculate a covariance for the two assets which is closest to:
A
0.0021.
B
0.0312.
C
0.0560.
D
0.1473.
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