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Is the coefficient of variation a better measure of risk than the standard deviation if the expected returns of the securities being compared differ significantly?
Wiki User
β 11y ago
The Standard deviation is an absolute measure of risk while the coefficent of variation is a relative measure. The coefficent is more useful when using it in terms of more than one investment. The reason being that they have different returns on average which means the standard deviation may understate the actual risk or overstate depending.
Wiki User
β 15y ago
Wiki User
β 11y agotrue
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How do you calculate coefficient of variation?
The coefficient of variation is usually calculated by diving the standard deviation by the mean of a particular set of data. The coefficient of variation is usually expressed as CV.
What is the difference between standard deviation and coefficient of variation?
standard deviation only measures the average deviation of the given variable from the mean whereas the coefficient of variation is = sd\mean Written as "cv" If cv>1 More variation If cv<1 and closer to 0 Less variation
Determine Coefficient of variation from the mean and standard deviation?
Coeff of Variation = Mean/SD
What is the coefficient of variation?
The coefficient of variation is the ratio between the standard deviation and the mean.
Is the the coefficient of variation for a data set is the mean divided by the standard deviation expressed as a percentage?
no
What do you mean when you say that the coefficient of variation has no units?
Suppose the mean of a sample is 1.72 metres, and the standard deviation of the sample is 3.44 metres. (Notice that the sample mean and the standard deviation will always have the same units.) Then the coefficient of variation will be 1.72 metres / 3.44 metres = 0.5. The units in the mean and standard deviation 'cancel out'-always.
What does it mean if the mean is doubled but the standard deviation is the same?
The second set of numbers are less variable; the coefficient of variation is halved. The second set of numbers are less variable; the coefficient of variation is halved. The second set of numbers are less variable; the coefficient of variation is halved. The second set of numbers are less variable; the coefficient of variation is halved.
What are the advantages and disadvantages of coefficient of variation?
One the main advantage of using the coefficient of variation over the standard deviation to measure volatility is the fact that CV is normalized and can be used to directly compare different asset's volatility. The standard deviation must be used in the context of the mean of the data.
How do you calculate coefficient of variation in spss?
The coefficient of variation is a method of measuring how spread out the values ββin a data set are relative to the mean. It is calculated as follows: Coefficient of variation = Ο / ΞΌ Where: Ο = standard deviation of the data set ΞΌ = average of the data set If you want to know more about it, you can visit SilverLake Consulting which will help you calculate the coefficient of variation in spss.
What is the relative dispersion with the mean of 45000 and a standard deviation of 9000?
Relative dispersion = coefficient of variation = (9000/45000)(100) = 20.
What does the term coefficient of variation mean?
The Coefficient of Variation is a ratio showing the degree to which individual points of data in a sample deviate from the mean. It is calculated by taking the standard deviation of the sample and dividing that by the mean of the sample. It can be useful for comparing different data sets because it is a ratio (or percentage) and not an absolute number.
What does a coefficient of variation tell you?
It tells you about the size of variation relative to the size of the observation, and it has the advantage that the coefficient of variation is independent of the units of observation. Here is a example to help you see it. If you have a data set with weights, the value of the standard deviation of a set of weights will be different depending on whether they are measured in grams or lbs or micrograms etc. For example if you look at the weights of kids from birth to 18 years, some countries measure in lbs other in kg and some even use stones. The coefficient of variation, however, will be the same in both cases as it does not depend on the unit of measurement. So you can obtain information about the children's weight variation around the world by using the coefficient of variation to look at all the ratios of standard deviations to mean in each country. To compute it we look the ratio of the standard deviation to the mean .
