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% | 109.20 | −13.8% |
| 16% | 119.39 | −5.8% |
| 25% | 122.22 | −3.5% |
| 50% (median) | 127.11 | +0.3% |
| 75% | 131.72 | +4.0% |
| 84% | 134.12 | +5.9% |
| 95% | 140.77 | +11.1% |
| Up 5% or more (133.01) | 20% |
|---|---|
| Up 10% or more (139.35) | 6.2% |
| Down 5% or more (120.35) | 19% |
| Down 10% or more (114.01) | 7.8% |
Options price a 10%+ drop at 7.8%, 2.0× the 4.0% 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.