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VaR vs Expected Shortfall Interview Questions: Why Two Portfolios With the Same VaR Aren't Equally Risky

VaR vs Expected Shortfall Interview Questions: Why Two Portfolios With the Same VaR Aren't Equally Risky

Victor · Published on · 4 min read

"Two assets can share the same Value at Risk while having different Expected Shortfall values." True or false? True — and understanding exactly why is one of the most common risk management interview questions, because it exposes the single biggest weakness of VaR as a risk measure.

What VaR actually tells you

Value at Risk at a given confidence level (say 99%) answers one question: what is the loss threshold that won't be exceeded, except in the worst 1% of outcomes? It's a single point on the loss distribution — a boundary. Crucially, VaR says nothing about how bad things get once you cross that boundary.

Why the same VaR can hide very different tails

Imagine two portfolios with an identical 99% VaR of $10 million. In the first, the worst 1% of outcomes cluster just past that threshold — losses of $10.5 to $12 million. In the second, that same 1% tail contains a much fatter, longer tail — occasional losses of $50 million or more. Both portfolios report the exact same VaR number. Only one of them is genuinely dangerous.

This is possible because VaR is a **quantile**, not an average. It doesn't care about the shape of the distribution beyond the cutoff — only where the cutoff sits.

What Expected Shortfall adds

**Expected Shortfall** (also called Conditional VaR or CVaR) fixes this by measuring the **average loss given that the VaR threshold has already been breached**. Instead of stopping at the boundary, it looks inside the tail and averages what actually happens there.

ES(α) = E[Loss | Loss > VaR(α)]
α — confidence level, e.g. 99%
VaR(α) — the loss threshold at that confidence level

Two portfolios with identical VaR but very different tail shapes will show very different ES — the one with the fatter tail reports a much higher Expected Shortfall, exactly capturing the extra danger that VaR missed.

VaR tells you where the cliff edge is. Expected Shortfall tells you how far the drop is once you go over it.

Why interviewers ask this

This question is really about whether you understand VaR's core blind spot: it is not **subadditive** in general and it ignores tail severity, both of which contributed to regulators shifting bank capital frameworks (FRTB) toward Expected Shortfall as the primary risk metric. A candidate who can explain a concrete case — same VaR, different ES — shows they understand the limitation, not just the formula.

Explaining a formula on a whiteboard and building the intuition live, under interview pressure, are different skills. If you want to test whether you can walk through VaR versus Expected Shortfall out loud the way a risk interviewer expects, run a free FinPrep mock interview built from real risk management questions like this one.

Want the deeper theory behind risk measures, tail risk, and regulatory capital frameworks? OV Institute covers risk management in depth, taught by practitioners with real trading floor experience.