Risk-Neutral Density · Foundations
Free to readHow to Read the Risk-Neutral Density
Pick an underlying, read the shape, check the tails, use the CDF for a probability. Four moves.
The tool draws the full risk-neutral density for your chosen underlying and expiration. Everything you need is on the chart — here is how to work it in four passes.
What every control does
Choose the underlying (ETFs on ETF Analytics; single names on ETF + Equities) and the expiration from the dropdown. The tool then fits the implied-vol smile across all listed strikes for that expiry, converts it to a smooth call-price curve, and differentiates twice to produce the density. Spot, the forward, and the ±1σ implied range are marked automatically. Toggle the CDF view to switch from the probability density to the cumulative distribution — useful for reading off the probability of finishing above or below any price level.
Pick the underlying and expiration; the density and reference lines appear automatically. Toggle CDF to read off probabilities directly.
Four passes to read it
First, the shape: is the curve symmetric, left-heavy, right-heavy, or bimodal? That is the market's top-level verdict on outcomes. Second, the tails: is the left tail meaningfully fatter than the right (crash fear), or is the right tail running away (squeeze pricing)? Third, the mode vs the forward: how far is the peak from the fair-value anchor? A wide gap signals strong directional skew in the pricing. Fourth, the CDF: switch to the cumulative view, hover over a strike, and read the implied probability of finishing below that level — or above it, or within any band. That is how you turn the density into a tradeable number.
Two common misreads
Reading the chart is free. To pull the live density on your own names: ETFs with ETF Analytics, single stocks with ETF + Equities, full density export with Everything.
See plans →Educational content from Nations Indexes. VolDex® is a registered mark of Nations Indexes. Diagrams are schematic. Nothing here is investment advice.