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Regarding the VaR formula:

VaR = -U-ZX

Where U is the average return, X is the standard deviation and Z is the negative number of standard deviations that specifies the probability level associated with the tail-risk.

I have read two papers that use this formula. However, one interprets a higher Z (in absolute terms) as a higher probability or confidence level whereas the other interprets a higher Z as a higher volatility scenario? Could someone please clarify how I could interpret a higher Z?

Thank You.

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