Shaded band: the middle 68% of outcomes. Where the blue curve sits above the dashed one, options price that move as likelier than a plain bell curve would.
| Chance below | Price | vs spot |
|---|---|---|
| 5% | 8.25 | −31.3% |
| 16% | 10.09 | −16.0% |
| 25% | 10.80 | −10.1% |
| 50% (median) | 11.93 | −0.6% |
| 75% | 13.07 | +8.8% |
| 84% | 13.75 | +14.5% |
| 95% | 16.45 | +36.9% |
| Up 5% or more (12.61) | 34% |
|---|---|
| Up 10% or more (13.21) | 23% |
| Down 5% or more (11.41) | 37% |
| Down 10% or more (10.81) | 25% |
Options price a 10%+ drop at 25%, 0.9× the 27% a bell curve with the same volatility gives.
Risk-neutral odds from option prices, the bot's lgf odds method: out-of-the-money mids → implied vols → a smoothed smile in total variance → density = erT·∂²C/∂K² (Breeden–Litzenberger). Risk-neutral odds include the market's risk premium, so they lean bearish compared with real-world odds. Not investment advice.