What is Expected Shortfall (CVaR)?

Expected Shortfall (ES), also called Conditional Value at Risk (CVaR), measures the average loss in the worst-case scenarios beyond the VaR threshold. While VaR 99% tells you the loss level exceeded only 1% of the time, CVaR 99% tells you the average size of those losses. It gives a more complete picture of tail risk.

What is the difference between VaR and CVaR?

VaR answers 'what is the loss threshold at a given confidence level?' CVaR answers 'given that we exceed that threshold, what is the average loss?' CVaR is always equal to or larger than VaR at the same confidence level, and it is a more coherent risk measure because it accounts for the severity of tail events.

When should I use CVaR instead of VaR?

Use CVaR when you need to understand the magnitude of tail losses, not just their probability. CVaR is especially important for portfolios with skewed or fat-tailed return distributions, such as those holding options or illiquid assets, where losses can be extreme even if infrequent.

Is a higher or lower CVaR better?

A lower CVaR (smaller absolute loss) is better. A CVaR 99% of -3% means that on the worst 1% of days, the average loss is 3%. A CVaR of -7% would indicate higher tail risk. When comparing portfolios, lower CVaR for the same level of return indicates better risk management.

Expected Shortfall (CVaR) 95% and 99%: practical guide

What CVaR 95% and 99% mean

Expected Shortfall (CVaR) estimates the average loss in the worst tail beyond the VaR threshold.

$CVaR_c = -E[R \mid R \le Q_{1-c}(R)]$

Quick example

On a $100,000 portfolio:

VaR 95% = $2,100
CVaR 95% = $3,000

Interpretation: when losses go beyond the 95% VaR threshold, average loss is closer to $3,000, not $2,100.

Why CVaR matters

VaR gives a cutoff point.
CVaR describes what happens after that cutoff.

For fat-tail markets, CVaR usually gives a more realistic downside view.

Practical use

Compare allocations with similar expected return but different tail risk.
Set risk limits on CVaR, not only volatility.
Combine with drawdown to monitor both tail events and path risk.

Next step

Review your risk profile in the Wallible app
Compare scenarios in portfolio backtesting
Read related guides: VaR 95%/99% , Recovery Factor , Maximum Drawdown

Disclaimer

This article is not financial advice but an example based on studies, research and analysis conducted by our team.

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Expected Shortfall (CVaR) 95% and 99%: practical guide

What CVaR 95% and 99% mean

Quick example

Why CVaR matters

Practical use

Next step

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Next step

Expected Shortfall (CVaR) 95% and 99%: practical guide

What CVaR 95% and 99% mean

Quick example

Why CVaR matters

Practical use

Next step

Related guides

Portfolio rebalancing: when to do it and why it matters

Monte Carlo Simulation for your portfolio: a practical guide

TWR vs MWRR: which return metric should you trust?

Next step

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