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% | 378.01 | −14.9% |
| 16% | 406.89 | −8.4% |
| 25% | 419.87 | −5.5% |
| 50% (median) | 446.39 | +0.5% |
| 75% | 473.82 | +6.6% |
| 84% | 487.98 | +9.8% |
| 95% | 521.70 | +17.4% |
| Up 5% or more (466.57) | 31% |
|---|---|
| Up 10% or more (488.79) | 16% |
| Down 5% or more (422.13) | 27% |
| Down 10% or more (399.92) | 12% |
Options price a 10%+ drop at 12%, 0.9× the 13% 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.