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% | 727.09 | −27.0% |
| 16% | 776.48 | −22.0% |
| 25% | 810.55 | −18.6% |
| 50% (median) | 915.82 | −8.0% |
| 75% | 1,096.89 | +10.2% |
| 84% | 1,229.14 | +23.5% |
| 95% | 1,669.32 | +67.7% |
| Up 5% or more (1,045.18) | 30% |
|---|---|
| Up 10% or more (1,094.95) | 25% |
| Down 5% or more (945.64) | 56% |
| Down 10% or more (895.87) | 46% |
Options price a 10%+ drop at 46%, 1.4× the 34% 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.