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% | 10.72 | −39.9% |
| 16% | 15.23 | −14.6% |
| 25% | 16.18 | −9.3% |
| 50% (median) | 17.75 | −0.5% |
| 75% | 19.29 | +8.2% |
| 84% | 20.18 | +13.1% |
| 95% | 23.40 | +31.2% |
| Up 5% or more (18.73) | 33% |
|---|---|
| Up 10% or more (19.62) | 21% |
| Down 5% or more (16.94) | 36% |
| Down 10% or more (16.05) | 24% |
Options price a 10%+ drop at 24%, 0.9× the 26% 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.