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CFA Level 1
Quantitative Methods

Calculating Correlation Coefficient between Assets

Hard Statistical Concepts And Returns Correlation And Covariance

In a recent financial analysis, an investor examined the historical returns of Asset A and Asset B over a 5-year period. The analysis yielded a covariance of 0.005 and standard deviations of 0.03 for Asset A and 0.04 for Asset B.

To further understand the relationship between these two assets, the investor calculated the correlation coefficient using the formula:

$$ ho_{AB} = \frac{Cov(A, B)}{\sigma_A \sigma_B}$$

Where:

  • $$Cov(A, B)$$ is the covariance between Asset A and Asset B
  • $$\sigma_A$$ is the standard deviation of Asset A
  • $$\sigma_B$$ is the standard deviation of Asset B

What is the correlation coefficient between Asset A and Asset B?

Hint

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