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% | 0.7514 | −61.5% |
| 16% | 1.17 | −39.8% |
| 25% | 1.42 | −27.0% |
| 50% (median) | 1.84 | −5.6% |
| 75% | 2.27 | +16.5% |
| 84% | 2.53 | +29.6% |
| 95% | 3.48 | +78.5% |
| Up 5% or more (2.05) | 37% |
|---|---|
| Up 10% or more (2.14) | 31% |
| Down 5% or more (1.85) | 51% |
| Down 10% or more (1.75) | 44% |
Options price a 10%+ drop at 44%, 0.9× the 47% 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.