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% | 1,403.30 | −19.8% |
| 16% | 1,582.93 | −9.6% |
| 25% | 1,667.05 | −4.8% |
| 50% (median) | 1,838.53 | +5.0% |
| 75% | 2,005.17 | +14.6% |
| 84% | 2,083.48 | +19.0% |
| 95% | 2,243.07 | +28.2% |
| Up 5% or more (1,837.75) | 50% |
|---|---|
| Up 10% or more (1,925.26) | 36% |
| Down 5% or more (1,662.73) | 24% |
| Down 10% or more (1,575.22) | 15% |
Options price a 10%+ drop at 15%, 1.1× the 14% 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.