The core idea
Implied volatility translates option prices into a volatility scale.
Options trade as prices, but desks often need to compare them as volatility. Implied volatility is the volatility input that makes a pricing model reproduce the current option price. If two BTC options have different strikes or expiries, their dollar prices are not directly comparable. Their implied volatilities are much easier to compare.
Start with a traded option price
Use a clean bid, ask, mark, or trade price together with the strike, expiry, forward, and option convention.
Invert the pricing model
Find the volatility input that makes the model price match the observed market price.
Compare IV across strikes and expiries
Once every option is expressed as implied volatility, smiles, surfaces, skew, and risk nodes become comparable.
In Derivasys, IV is the first step in the path from raw exchange quotes to the volatility surface, volatility smile, SVI fit, and live dashboard.
Formula
IV is solved by matching the model price to the market price.
The pricing model can be Black-Scholes-style or another model appropriate for the market convention. The important point is that implied volatility is an output of inversion, not a price that appears on the exchange order book by itself.
Why it matters
IV makes the surface readable.
A volatility dashboard needs more than a pile of option prices. It needs a consistent coordinate system where strikes, expiries, risk nodes, and diagnostics can be compared during active markets.
Normalize option prices
A dollar option price depends on strike, expiry, and forward level. IV puts those prices onto a comparable volatility scale.
Read one expiry smile
Implied volatility across strikes shows whether downside puts, ATM options, or upside calls are trading rich.
Build a surface
Connecting IV smiles across expiries creates the volatility surface used for interpolation, monitoring, and risk extraction.
Audit the market state
Live IV can expose stale quotes, crossed markets, bad forwards, or model inputs that would distort the fitted surface.
Surface workflow
One IV point becomes useful when it is placed inside the smile.
For one expiry, implied volatility across strikes forms the volatility smile. Fit that smile with SVI, connect smiles across expiries, and the result becomes a production volatility surface.
From there, desks usually extract stable nodes rather than read every strike manually. A risk reversal summarizes signed skew, while flies summarize smile curvature.
Topical path
Move from IV into the live dashboard workflow.
- Volatility surface: See where implied volatility fits in the full surface workflow.
- Volatility smile: Move from one IV point to a full expiry curve.
- SVI: Fit the smile with a stable total-variance model.
- Risk reversal: Turn the fitted smile into a signed skew node.
- Dashboard: Inspect live IV, fitted smiles, risk nodes, and diagnostics.
FAQ
Common questions about implied volatility.
What is implied volatility?
Implied volatility is the volatility input that makes an option pricing model match the observed market price for an option.
Is implied volatility the same as realized volatility?
No. Realized volatility measures how the underlying has moved historically. Implied volatility is inferred from current option prices and reflects market expectations, supply, demand, and risk premia.
Why do options with different strikes have different implied volatility?
Markets usually price downside, upside, and ATM options differently. That strike-by-strike pattern is the volatility smile.
Why does Derivasys monitor implied volatility instead of only option prices?
IV makes BTC and crypto options easier to compare across strikes and expiries, then feeds the live smile, surface, SVI, risk reversal, and fly workflow.
References