What is a Z score?
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A Z score is a statistical measure that shows how far a data point is from the average, expressed in terms of standard deviations. In finance, it is often used to assess risk or compare how unusual a value is relative to a normal distribution.
A Z score indicates how many standard deviations a value is above or below the average.
In financial analysis, Z scores can be used in different contexts, such as identifying outliers in market data or assessing the financial health of a company. One well known example is the Altman Z score, which is used to estimate the probability of a company going bankrupt based on financial ratios. A positive Z score means the value is above the average, while a negative Z score means it is below the average. The further the Z score is from zero, the more unusual the value is compared to the average.
Short example:
Suppose the average return of a group of stocks is 5 percent with a certain level of variation.
If a particular stock has a Z score of +2, it means its return is two standard deviations above the average.
This suggests the stock is performing significantly better than most others in the group.
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