What is Expected Shortfall?

Expected shortfall is a risk metric that includes expected losses above and beyond the VaR level.

Owais Siddiqui
12 Oct 2022
3 min read
Updated

Expected shortfall (ES) is a risk measure that estimates the average loss a portfolio would suffer in its worst-case scenarios. It was developed to address a well-known weakness in Value at Risk (VaR) — namely, that VaR says nothing about how bad losses become once they breach its threshold. Since the 2008 crisis, expected shortfall has become increasingly central to risk management and bank regulation. This guide explains what it is, how it differs from VaR, and why regulators have embraced it. It's a core topic in qualifications like the FRM.

What is expected shortfall?

Expected shortfall — also called conditional VaR (CVaR) or expected tail loss — answers the question VaR leaves open: "If things go badly, how bad is it on average?" Specifically, it's the average of all the losses that exceed the VaR threshold at a given confidence level. Where VaR identifies a loss level that won't be breached most of the time, expected shortfall looks beyond that point and averages the losses in the tail. It's always at least as large as the corresponding VaR, because it's the mean of the worst outcomes rather than the cut-off at the edge of them.

How it differs from Value at Risk

The two measures are closely related but answer different questions:

  • VaR says: "We are 95% confident the loss will not exceed £1m over one day." It's a threshold — the edge of the bad outcomes.
  • Expected shortfall says: "If the loss does exceed that threshold, the average loss in those cases is £1.6m." It's the average severity of the tail beyond the threshold.

This distinction matters enormously. Two portfolios can share the same VaR while having very different tail risks — one might lose a little beyond the threshold, the other catastrophically. VaR can't tell them apart; expected shortfall can. By averaging the entire tail, ES captures the magnitude of extreme losses, not just the probability of crossing a line.

Why expected shortfall is considered better

Beyond capturing tail severity, expected shortfall has an important technical advantage: it is a "coherent" risk measure, meaning it satisfies a set of mathematical properties that a sound risk measure should have. In particular, ES always respects sub-additivity — the principle that the risk of a combined, diversified portfolio should never be greater than the sum of the risks of its parts. VaR can violate this property in certain cases, perversely suggesting that diversification increases risk, which is one of its most criticised theoretical flaws. Expected shortfall does not suffer from this problem, making it more reliable for comparing and aggregating risks across a portfolio.

The regulatory shift

The weaknesses of VaR exposed during the 2008 financial crisis prompted regulators to act. Under the Basel framework's reforms to market-risk capital (often referred to as the Fundamental Review of the Trading Book), the Basel Committee moved the internal-models approach away from VaR and towards expected shortfall as the primary measure for setting market-risk capital. The reasoning was precisely that ES better captures the tail risk — the rare but severe losses — that capital is meant to absorb. This shift cemented expected shortfall's place at the centre of modern risk regulation.

The trade-offs

Expected shortfall is not without challenges. Because it depends on the shape of the extreme tail — where data is, by definition, scarce — it can be harder to estimate accurately and more sensitive to modelling assumptions than VaR. It is also slightly less intuitive to explain to non-specialists. For these reasons, ES is typically used alongside VaR and stress testing rather than entirely replacing them, giving risk managers a fuller picture: VaR for the threshold, expected shortfall for the severity beyond it.

Why it matters for finance professionals

Expected shortfall is now part of the core vocabulary of risk management, and understanding it — particularly how it complements and corrects VaR — is essential for anyone in risk, treasury or trading. Its rise reflects a broader lesson from the financial crisis: that managing risk means paying close attention not just to the likelihood of losses, but to how severe they can become. It's a heavily examined topic in professional risk qualifications.

Frequently asked questions

What is expected shortfall?

The average loss a portfolio would suffer in the scenarios where losses exceed the Value at Risk threshold — a measure of the severity of tail losses, also known as conditional VaR or expected tail loss.

How does expected shortfall differ from VaR?

VaR gives a threshold loss won't exceed at a given confidence; expected shortfall gives the average loss in the cases where that threshold is breached. ES captures the severity of the tail, which VaR ignores.

Why is expected shortfall considered better than VaR?

It captures the magnitude of extreme losses and is a "coherent" risk measure that respects sub-additivity — so, unlike VaR, it never suggests diversification increases risk.

Do regulators use expected shortfall?

Yes. Under the Basel market-risk reforms, the internal-models approach shifted from VaR to expected shortfall as the primary measure for setting market-risk capital, precisely because it better captures tail risk.

Build your risk skills with Learnsignal

Expected shortfall sits at the cutting edge of market-risk measurement. Learnsignal's tutor-led courses, including the FRM, develop the risk-management understanding that topics like this build on — with clear teaching that connects the theory to how risk is actually regulated.

This page was last updated:

Owais Siddiqui

Expert Tutor at Learnsignal

Qualified professional with years of experience in teaching and helping students achieve their accounting qualifications.

View all posts by Owais Siddiqui

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