Implied Volatility

Canonical definition, formula, interpretation, and API reference.

Definition

Market's expected future volatility priced into options. Solved via Newton-Raphson from market prices.

Formula
IV = BSM_inverse(Market Price, S, K, T, r, q)

Find sigma such that BSM(sigma) = observed option price.

Inputs
market option pricespotstriketimerate
Output
implied_volatilityimplied_volatility_pct
Interpretation
  • High IV: market expects large moves - options expensive
  • Low IV: small expected moves - options cheap
  • Annualized: 20% IV = ~1.26% daily expected move

API Reference

Endpoint
GET /v1/pricing/iv
Tier
Free
Response field
implied_volatility, implied_volatility_pct

Why Implied Volatility Matters for Trading

TL;DR

IV is what the market thinks volatility will be. Low IV = cheap options. High IV = expensive options. Its relationship to realised is everything.

What it measures
The volatility input that makes the Black-Scholes model price equal the observed option market price. Solved numerically.
What it signals
Market-expected future vol. A forecast, not a measurement.
Why we measure it
Every option strategy has an IV dependency. Knowing absolute and relative IV levels is what separates blindly buying vol from expressing a vol view.
Who uses it
All options traders - buyers, sellers, hedgers, structurers.

How to read Implied Volatility

IV low vs RV (cheap options)
  • Long-vol setups attractive
  • Straddles and calls priced below fair
  • Favorable for directional buyers
  • Catalyst plays profitable
Good for: long options, long straddles
IV high vs RV (expensive options)
  • Options overpriced
  • Premium selling edge
  • Short strangles, iron condors
  • Typical of positive gamma
Bad for: option buyers - good for: sellers
IV ≈ RV (fair)
  • No structural vol edge
  • Directional trades only
  • Pure spot exposure
  • Typical quiet regimes
Fair

Rules of thumb

  • Annualised. 20% IV means 20% annualised - about 1.26% daily 1-sigma move.
  • Compare to RV. IV alone tells you nothing. IV vs RV tells you if vol is cheap or rich.
  • Event expansion is normal. IV routinely inflates 50-100% pre-earnings and collapses post-announcement. Back that out.
  • Skew and term shape matter. A single ATM IV hides a world of skew and term-structure signals. See skew and term structure.
  • IV rank is your friend. Percentile rank vs 52-week range (IV rank) normalises across names and time.

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