Graduate Value at Risk, Conditional Value at Risk, expected shortfall

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The discussion focuses on understanding the numerator in the formula for expected shortfall or conditional Value at Risk (CVaR) when the probability level is set at p=0.01. The user expresses confusion about how to calculate this numerator without a clear formula provided. There is a need for clarification on the expected shortfall calculation, particularly in the context of risk management. The conversation highlights the importance of precise formulas in financial risk assessment. Overall, the thread seeks to enhance comprehension of CVaR calculations in practical applications.
monsmatglad
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I am working on Value at Risk and expected shortfall/conditional Value at Risk.The formula I have is this:
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What I do not understand is numerator of the second part. If for example I want to look at an expected shortfall when p=0.01 (ignoring the average and the standard deviation). what value will the numerator have?
 
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I don't see a formula
 
magoo said:
I don't see a formula
0
 
The standard _A " operator" maps a Null Hypothesis Ho into a decision set { Do not reject:=1 and reject :=0}. In this sense ( HA)_A , makes no sense. Since H0, HA aren't exhaustive, can we find an alternative operator, _A' , so that ( H_A)_A' makes sense? Isn't Pearson Neyman related to this? Hope I'm making sense. Edit: I was motivated by a superficial similarity of the idea with double transposition of matrices M, with ## (M^{T})^{T}=M##, and just wanted to see if it made sense to talk...

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