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% | 1.77 | −47.7% |
| 16% | 2.23 | −33.9% |
| 25% | 2.57 | −23.7% |
| 50% (median) | 3.19 | −5.4% |
| 75% | 3.87 | +14.7% |
| 84% | 4.27 | +26.6% |
| 95% | 5.72 | +69.5% |
| Up 5% or more (3.54) | 36% |
|---|---|
| Up 10% or more (3.71) | 30% |
| Down 5% or more (3.21) | 51% |
| Down 10% or more (3.04) | 43% |
Options price a 10%+ drop at 43%, 1.0× the 45% 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.