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Value-at-Risk is a family of measures used to help the owner of a position to assess its "worst case value".

5 votes

CVaR/VaR Ratio as alpha goes to 1

If the loss distribution is normal with mean $\mu$ and variance $\sigma^2$, then the Value-at-Risk and Expexted Shortfall (or CVaR) at level $\alpha \in (0, 1)$ are \begin{align*} \mbox{VaR}_\alpha & …
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