Understanding Coefficient of Variation
What is the Coefficient of Variation (CV)?
The Coefficient of Variation (CV) is a statistical measure used to assess risk per unit of return. It’s especially useful for comparing investments with different expected returns and standard deviations.
By calculating the CV, investors can easily compare investments and choose the more efficient one in terms of risk relative to return.
Example to Understand the Concept
Let’s examine two investments:
-
Investment 1
Expected Return: 0.40
Standard Deviation: 0.22 -
Investment 2
Expected Return: 0.23
Standard Deviation: 0.14
How is the Coefficient of Variation Calculated?
To calculate the Coefficient of Variation, divide standard deviation by expected return.
For Investment 1:
Coefficient of Variation=0.220.40=0.55\text{Coefficient of Variation} = \frac{0.22}{0.40} = 0.55
For Investment 2:
Coefficient of Variation=0.140.23=0.61\text{Coefficient of Variation} = \frac{0.14}{0.23} = 0.61
Which Investment Should You Choose?
For a risk-averse investor, the best choice is typically the investment with a lower Coefficient of Variation, as it indicates lower risk for each unit of return.
Here, Investment 1 is the better option because its CV (0.55) is lower than Investment 2’s CV (0.61). This means Investment 1 offers a more efficient balance between risk and return.
Why is the Coefficient of Variation Important?
Most investors prefer investments that minimize risk for each unit of expected return. The Coefficient of Variation provides a simple calculation to help investors compare different investments and choose the one that best aligns with their risk preferences.
Disclaimer
This content is for educational and informational purposes only.
It should not be construed as investment advice or a recommendation.
Investments are subject to market risks. Please read all related documents carefully.
