IV is the volatility number that makes the Black-Scholes price equal the market price. It is the market's priced-in expectation of future movement — not a measurement of the past. Crypto IV is quoted annualized: 60% IV ≈ a ±3.1% expected daily move.
daily move ≈ IV / √365The risk reversal compares equally out-of-the-money options on each side. Negative RR = puts richer than calls (crash fear); positive RR = calls richer (upside chase — common in crypto rallies).
RR₂₅ = IV(25Δ call) − IV(25Δ put)Drag the SKEW slider: put premium tilts the whole left wing of the surface upward.
When dealers are long gamma near a big strike, their hedging sells rallies and buys dips — spot gets pinned to the wall into expiry. When dealers are short gamma, hedging chases price and moves accelerate through the level.
Toggle GAMMA WALLS to see strike-level dealer concentration as vertical bars at the front expiry.
An option is priced as the cost of continuously hedging it: more volatility → more re-hedging profit given away → higher premium.
C = S·N(d₁) − K·e⁻ʳᵗ·N(d₂)Everything on this surface is the market solving that equation backwards for σ, strike by strike, expiry by expiry.
Equity index surfaces almost always show put skew — crashes go down. Crypto surfaces regularly show call skew because the historic tail events include violent upside. Absolute vol levels also run 3–6× the S&P: BTC at 60 IV is "quiet"; SPX at 60 IV is a crisis.
Try the SOL preset: higher level, flatter-to-call skew, backwardated term — a typical high-beta alt profile after a fast rally.