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% | 207.89 | −11.8% |
| 16% | 220.38 | −6.5% |
| 25% | 225.51 | −4.3% |
| 50% (median) | 235.71 | +0.0% |
| 75% | 246.38 | +4.6% |
| 84% | 252.13 | +7.0% |
| 95% | 267.54 | +13.5% |
| Up 5% or more (247.43) | 23% |
|---|---|
| Up 10% or more (259.22) | 9.1% |
| Down 5% or more (223.87) | 22% |
| Down 10% or more (212.09) | 7.3% |
Options price a 10%+ drop at 7.3%, 0.9× the 8.1% 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.