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The Z-score doesn't change depending on timing of returns (e.g. annual, monthly, daily, etc...) because the z-score is a standardized number that tells the number of standard deviations away from the mean you would expect to go given a specific confidence level.
Remeber the z-score assumes a normal distribution which means it assumes that regardless of what information you are evaluating that it can be described by the normal curve. Changing a z-score would mean you are no longer consistent with a normal distribution. |
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