A 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
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Thread 'Deductive proof in logic formal systems'

I was reading documentation about the soundness and completeness of logic formal systems. Consider the following $$\vdash_S \phi$$ where ##S## is the proof-system making part the formal system and ##\phi## is a wff (well formed formula) of the formal language. Note the blank on left of the turnstile symbol ##\vdash_S##, as far as I can tell it actually represents the empty set. So what does it mean ? I guess it actually means ##\phi## is a theorem of the formal system, i.e. there is a...
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