Vol of Vol

Volatility of implied volatility.

Definition

How much implied volatility itself moves around over time. Measured historically as the standard deviation of rolling IV, or implied via VVIX (the market-implied vol of VIX). A core input to pricing volatility derivatives and sizing vega exposure.

Formula
VoVhist = stdev(rolling 30d IV, trailing 252d)   VoVimpl ≈ VVIX

Historical VoV uses the realized dispersion of IV; implied VoV (VVIX) is derived from VIX options pricing.

Inputs
IV time seriesVIX options (for VVIX)window length
Output
vol_of_volVVIX proxy
Interpretation
  • High: IV regime unstable — big vega P&L swings, expensive wings.
  • Low: IV calm — cheap convexity and stable vega risk.
  • Typical: normal vol-regime noise.

API Reference

Endpoint
GET /v1/volatility/{symbol}
Tier
Basic
Response field
vol_of_vol

Why Vol of Vol Matters for Trading

TL;DR

VoV is the second moment of vol. Rising VoV = unstable vol regime = wider P&L for vega books and richer prices for options-on-vol (VIX options).

What it measures
The dispersion of implied volatility itself over a trailing window.
What it signals
Regime stability. Calm VoV = mean-reverting vol; rising VoV = trending or jumpy vol.
Why we measure it
Vega-risk sizing, wing pricing, and VIX-options pricing all depend on how much IV itself moves.
Who uses it
Vol arb desks, tail-risk funds, dispersion traders, VIX options market makers.

How to read Vol of Vol

High (stress)
  • IV regime unstable
  • VVIX elevated
  • Wings structurally rich
  • Vega P&L swings large
Warning: size down vega
Low (calm)
  • IV stable and mean-reverting
  • VVIX compressed
  • Cheap convexity setups
  • Stable vega books
Good for: long-convexity setups
Typical
  • Normal VoV regime
  • VVIX in normal range
  • No structural edge
  • Trade other signals
Neutral

Rules of thumb

  • VVIX > 130 often precedes VIX spikes. Rising VoV is an early warning even when VIX itself is calm.
  • Vega risk scales with VoV, not IV level. Two vol books with the same vega but different VoV carry different risk.
  • Wings price VoV. Skew and convexity premium embed VoV — high VoV lifts both.
  • Use a consistent tenor. 30-day IV gives the cleanest VoV signal; longer tenors smooth out regime changes.
  • Term structure matters. VoV rises faster at the front end; pair with VIX term structure for context.
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