What Is VVIX?
Last reviewed: by Options Analysis Suite Research.
VVIX is the Cboe VVIX Index: the market-implied 30-day forward variance on the VIX itself, computed via the same model-free formula applied to VIX options. It is a direct measure of the volatility of volatility - how much the VIX is expected to move over the next 30 days.
What Is VVIX?
VIX measures the priced 30-day variance on SPX. VVIX measures the priced 30-day variance on VIX. Just as VIX is computed from a portfolio of OTM SPX options weighted by the model-free variance-swap formula (Cboe VIX White Paper), VVIX is computed from a portfolio of OTM VIX options weighted by the same formula applied to the VIX surface (Cboe VVIX educational materials). The result is annualized and expressed as a percentage.
VVIX values are typically much higher than VIX values numerically because vol-of-vol is structurally large. Calm-regime VVIX runs roughly 70-90; normal regimes 90-110; stress regimes 110-150; crisis regimes 150-200+. The ratio VVIX/VIX is roughly 5-7 in calm regimes (vol-of-vol is ~5-7x the vol level, in vol-point terms).
Why Does VVIX Matter?
- Direct measurement of vol-of-vol. Stochastic-vol models like Heston have a vol-of-vol parameter (nu) that calibrates from the option surface. VVIX is the market-priced equivalent and gives a model-free vol-of-vol benchmark to validate or anchor calibration.
- Tail-risk indicator. When VVIX spikes ahead of VIX, the market is pricing rising uncertainty about the vol regime itself, often a precursor to actual vol regime change. VVIX/VIX ratio breakouts have been studied as tail-risk timing signals.
- VIX-derivative pricing input. Pricing VIX options requires a vol-of-vol model. VVIX is the market reference for what that vol-of-vol actually is.
How Does VVIX Compare With Heston Nu?
The Heston model parameter nu controls the diffusion of variance: dv = kappa*(theta - v)*dt + nu*sqrt(v)*dW. Calibrated SPX nu typically falls in 0.4-0.7 in calm regimes and 0.8-1.2 in stress regimes. VVIX is the market-priced 30-day expectation of vol-of-vol; the relationship between VVIX and Heston nu is:
- VVIX is observable (priced in VIX options), nu is calibrated.
- VVIX captures the actual market price of vol-of-vol; Heston nu captures the model's diffusion coefficient.
- Substantial VVIX moves without proportional Heston-nu recalibration shifts indicate the vol regime is changing in ways the calibrated Heston cannot capture.
Worked Example
Representative regime snapshot:
- Calm: VIX = 14, VVIX = 85, ratio ~6.0
- Normal: VIX = 18, VVIX = 105, ratio ~5.8
- Elevated: VIX = 25, VVIX = 130, ratio ~5.2
- Stress: VIX = 35, VVIX = 165, ratio ~4.7
VVIX rising faster than VIX (ratio expanding) indicates accelerating vol-of-vol while VIX is contained; this often precedes VIX breakouts. Conversely, VVIX falling faster than VIX (ratio compressing) indicates vol-of-vol normalization while VIX remains elevated.
VVIX as a Tail-Risk Signal
Park (2015) documented that VVIX has predictive content for future tail-risk-hedging returns. The relationship runs in the direction of pricing rather than alpha: when VVIX is high, vol-of-vol is expensive, so the priced cost of long-VIX-call and long-vol-of-vol hedges rises and the subsequent 3-4 week realized returns on those hedges are lower than average. When VVIX is low, those same hedges are cheap relative to subsequently realized vol-of-vol, and their forward returns are higher. VVIX is therefore a valuation gauge for tail-hedge inventory rather than a momentum signal.
VVIX in Practice
- VIX options pricing. Vol-of-vol enters explicitly. Implied VVIX from listed VIX options should converge to the published Cboe VVIX index.
- Calendar spread of VIX vs VVIX. VIX 30-day vs VVIX 30-day captures the spot-of-spot dynamic. Practitioners track the ratio to detect regime fragility.
- Hedge-fund positioning. Volatility hedge funds often run long-VVIX positions as a structural tail hedge.
- Stochastic-vol model validation. Calibrated Heston nu should produce a VIX-options surface consistent with VVIX; persistent gaps indicate the model class is mis-specified for the regime.
Limitations and Caveats
- VVIX is single-asset. It is the vol-of-vol on VIX specifically. Single-name vol-of-vol behaves differently and is not directly observable through the Cboe products.
- VIX-options listing thinness. The VVIX formula requires OTM VIX options across a strike grid. In thin-strike regimes the formula has more interpolation error than VIX itself.
- Levered ETP feedback. VIX-derivative ETPs (UVXY, SVXY) trade large notional and themselves trade VIX options. Their flow can affect VVIX in ways that are mechanical rather than fundamental.
Related Concepts
VIX · Vol of Vol · Heston Model · Tail Risk · Variance Risk Premium · Volatility Smile · Pricing Model Landscape
References & Further Reading
- Cboe. The CBOE VVIX Index. Cboe educational materials. The canonical methodology and historical context.
- Park, Y.-H. (2015). "Volatility-of-volatility and tail risk hedging returns." Journal of Financial Markets, 26, 38-63. VVIX as a predictor of subsequent tail-risk-hedge returns.
- Demeterfi, K., Derman, E., Kamal, M. and Zou, J. (1999). "More Than You Ever Wanted To Know About Volatility Swaps." Goldman Sachs Quantitative Strategies Research Notes. The variance-swap framework underpinning both VIX and VVIX.
- Bayer, C., Friz, P. and Gatheral, J. (2016). "Pricing under rough volatility." Quantitative Finance, 16(6), 887-904. Rough volatility reference for vol-of-vol dynamics and short-time smile behavior.
View live VVIX vs VIX comparison and term structure ->
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