To express investment risk in the same units as returns, variance is converted by taking the square root. This yields which measure?

Prepare for the CPCU 540 Exam using study tools and multiple-choice questions. Each question includes detailed explanations to ensure you grasp key concepts. Excel in your exam!

Multiple Choice

To express investment risk in the same units as returns, variance is converted by taking the square root. This yields which measure?

Expressing investment risk in the same units as returns requires a dispersion measure that keeps the original scale. Variance is in squared units, which makes it hard to interpret. When you take the square root of variance, you obtain the standard deviation, which is measured in the same units as the returns themselves. This tells you, on average, how far returns typically deviate from the mean and is the standard risk metric used in finance. Other concepts like the mean describe central tendency, not risk dispersion; the cube root of the variance isn’t a standard measure; and mean absolute deviation is a different dispersion metric.

Expressing investment risk in the same units as returns requires a dispersion measure that keeps the original scale. Variance is in squared units, which makes it hard to interpret. When you take the square root of variance, you obtain the standard deviation, which is measured in the same units as the returns themselves. This tells you, on average, how far returns typically deviate from the mean and is the standard risk metric used in finance. Other concepts like the mean describe central tendency, not risk dispersion; the cube root of the variance isn’t a standard measure; and mean absolute deviation is a different dispersion metric.

More practice questions