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Describe why correlation may be considered a better measure of diversification than covariance.

Question

Describe why correlation may be considered a better measure of diversification than covariance.

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Solution

Correlation is often considered a better measure of diversification than covariance for several reasons:

  1. Standardization: Correlation is a standardized measure, meaning it always ranges between -1 and 1. This makes it easier to interpret and compare across different pairs of variables. Covariance, on the other hand, is not standardized and can take on any value, making it more difficult to interpret and compare.

  2. Direction and Strength: Correlation not only tells you the direction of the relationship (positive or negative), but also the strength of the relationship between two variables. Covariance only tells you the direction of the relationship.

  3. Independence of Units: Correlation is unitless and is not affected by changes in the scale of the variables. Covariance is dependent on the units of the variables, so a change in scale can greatly affect the covariance.

  4. Easier to Understand: Correlation is generally easier to understand and interpret than covariance. A correlation of 1 means a perfect positive relationship, -1 means a perfect negative relationship, and 0 means no relationship. Covariance values are not as straightforward to interpret.

In summary, while both correlation and covariance can be used to measure the degree of diversification, correlation is often preferred due to its standardization, ability to convey both direction and strength of relationship, independence of units, and ease of interpretation.

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