Value at Risk (VaR) Explained
The maximum daily loss you should expect 95% of the time
where μ is mean daily return, σ is daily return standard deviation, and 1.645 is the z-score for the 95th percentile of the normal distribution.
What is the Value at Risk (VaR)?
Value at Risk (VaR) answers a simple question: on a typical bad day, how much could I lose? Specifically, 95% VaR is the loss threshold you'd expect not to exceed on 95% of trading days. If your 95% VaR is −2.1%, there's roughly a 1-in-20 chance of losing more than 2.1% in a single day. VaR is a standard risk metric used by banks, hedge funds, and institutional investors to size positions and set risk limits.
How to interpret it
VaR is expressed as a percentage loss (negative number). A 95% VaR of −3% is more concerning than −1% because it implies larger expected tail losses. The number should be read in context of your portfolio size — a −2% VaR on a £50,000 portfolio means a typical bad day could cost £1,000. VaR does not tell you how bad losses get in the extreme 5% — that's where Maximum Drawdown becomes important.
What counts as a good VaR 95?
What affects your VaR 95?
- Volatility — higher σ directly increases VaR
- Concentration — single-stock exposure amplifies tail risk
- Correlation — low-correlation holdings reduce portfolio VaR below the weighted average
- Leverage — magnifies both mean returns and standard deviation
- Fat tails — parametric VaR assumes normality; real returns often have heavier tails
Portivex uses parametric (variance-covariance) VaR at the 95% confidence level. This is calculated daily using your full return history. The limitation of parametric VaR — it assumes normally distributed returns — is disclosed in the confidence strip on the metrics page. VaR is displayed as a daily figure so it's directly comparable across different portfolio sizes.
See my VaR 95 →Frequently asked questions
What's the difference between 95% and 99% VaR?
Does VaR tell me the worst-case loss?
Why does my VaR change even when I haven't changed my holdings?
Related metrics
See your Value at Risk (VaR) in real time.
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