Hi, both parametric and conditional VARs measure tail risk. What is the difference?
Conditional VAR is the maximum loss a company can incur, once it have reach the loss indicated by the parametric VAR
No, Conditional VAR is the AVERAGE or EXPECTED loss a company can have, oince it have reach the loss indicated by the parametric.
Parametric (variance-covariance) VaR gives you the minimum expected loss over a given time period at a given level of significance, and typically assumes a normal distribution of returns. Note that, in particular, it doesn’t tell you the maximum loss.
Conditional VaR starts with the condition: you’ve exceeded the minimum loss given by VaR (whether parametric, historical, or Monte Carlo). It then tries to answer the question: In that case, how bad can it be? Typically, the answer is given as the weighted average loss (or the expected loss) given that you have exceeded the minimum loss threshold.
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