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% | 19.94 | −28.7% |
| 16% | 22.91 | −18.0% |
| 25% | 24.37 | −12.8% |
| 50% (median) | 27.53 | −1.5% |
| 75% | 31.15 | +11.5% |
| 84% | 33.20 | +18.8% |
| 95% | 38.65 | +38.3% |
| Up 5% or more (29.35) | 36% |
|---|---|
| Up 10% or more (30.75) | 27% |
| Down 5% or more (26.55) | 42% |
| Down 10% or more (25.16) | 31% |
Options price a 10%+ drop at 31%, 1.0× the 32% 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.