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expected-shortfall

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# Expected Shortfall (CVaR) and Tail Risk Measurement

> Expected Shortfall calculation, advantages over VaR, regulatory adoption under FRTB, extreme value theory, and tail dependence modeling.

## When to Activate

- User needs a coherent risk measure that captures tail losses beyond VaR
- Regulatory capital computation under FRTB (Fundamental Review of the Trading Book)
- Portfolio optimization with tail risk constraints
- Analyzing extreme loss scenarios and tail dependence between assets
- Comparing ES across portfolios for risk budgeting
- Stress testing that requires understanding the full tail distribution

## Core Concepts