Vomma —
How Vega changes with implied volatility (volatility convexity).
Quick Answer
Vomma measures how an option's Vega changes when implied volatility moves one percentage point — the convexity of Vega. Positive Vomma means a position gains Vega as India VIX rises, so out-of-the-money Nifty options benefit disproportionately in a volatility spike. It matters most to traders running large volatility positions.
Vomma — definition
Vomma is the second-order option Greek measuring how Vega changes for a one-percentage-point change in implied volatility, quoted per 1% of IV — the convexity of Vega.
Vomma — key takeaways
Vomma is the convexity of volatility — how your Vega grows as IV rises. It makes out-of-the-money wings explosive in a volatility spike and turns naked wing-selling into a hidden tail risk. When you expect not just a move but a volatility explosion, positive Vomma is what you want.
Vomma at a glance
| Measures | How Vega changes with implied volatility (volatility convexity) |
|---|---|
| Sign | Long options +Vomma · Short options −Vomma |
| Typical range | Near zero ATM; rises into both wings (twin-hump profile) |
| Order | Second-order |
Vomma in simple words
Vega tells you how sensitive an option is to volatility; Vomma tells you how that sensitivity itself changes as volatility moves. It means volatility risk is not linear: when IV spikes, a long-Vega position gets even more sensitive to volatility, accelerating gains. Vomma is largest for out-of-the-money options and matters most in volatile, skew-heavy markets.
How Vomma behaves — visual
Vomma — detailed explanation
The convexity of volatility
Vomma is the second derivative of the option price with respect to volatility — the rate of change of Vega as IV moves. Just as Gamma gives price exposure favourable curvature, Vomma gives volatility exposure curvature. A position with positive Vomma sees its Vega grow as IV rises, so it profits from volatility at an accelerating rate — and loses more slowly as IV falls. This is 'volatility of volatility' exposure.
Why OTM options carry the most Vomma
At-the-money options have high Vega but low Vomma — their volatility sensitivity is large but stable. Out-of-the-money options have lower Vega but high Vomma: as IV rises, their probability of coming into play jumps, so their Vega increases sharply. This is why OTM wings behave explosively when India VIX spikes, and why long-wing structures can pay off dramatically in a volatility event.
Vomma in volatility trading
Traders who want to be long a big volatility expansion — not just a small one — seek positive Vomma, often by holding OTM options or specific spread structures. When a shock hits and IV gaps up, positive-Vomma positions gain Vega and compound the move. Conversely, sellers of OTM options are short Vomma and can be hurt badly when a calm market suddenly becomes volatile.
Relevance to Indian event risk
Around large, uncertain catalysts — election results, global shocks, sharp Bank Nifty selloffs — implied volatility can move violently. Vomma determines whether your volatility exposure accelerates or fades during that move. Long-Vomma structures are a way to position for a volatility explosion, while naked OTM sellers must respect the short-Vomma tail they are carrying.
Vomma formula
Vomma = ν · (d₁ · d₂) / σ
The second derivative of price with respect to volatility (Vega's convexity). Positive for long options, smallest at-the-money, largest in the wings.
Vomma — practical example (Nifty)
Illustrative — Nifty spot 24500, lot size 65
India VIX is low and Nifty is at 24,500. You buy an out-of-the-money 25,100 CE with a modest Vega of 8 and positive Vomma. A global shock hits and IV jumps from 12% to 20%. Because of Vomma, your Vega does not stay at 8 — it climbs as IV rises, so the option gains far more than a linear 8 × 8 = ₹64 estimate would suggest. The wing 'wakes up' as volatility expands. A trader short that call feels the same convexity in reverse, with losses accelerating.
Why Vomma matters in practice
- Vomma makes volatility exposure non-linear: long-Vega positions gain Vega as IV rises, accelerating profits.
- Out-of-the-money options carry the most Vomma — they behave explosively when India VIX spikes.
- Positive Vomma is a way to position for a large volatility expansion, not just a small one.
- Sellers of OTM options are short Vomma and face accelerating losses if a calm market turns volatile.
Common misconceptions about Vomma
- Misconception: An option's Vega is a fixed number for a given strike.
Reality: Vomma is the rate at which Vega changes as implied volatility moves. Out-of-the-money Nifty options gain Vega as India VIX rises, so their volatility sensitivity is largest exactly when volatility is spiking.
Common mistakes with Vomma
- Selling far-OTM options for small premium while ignoring the short-Vomma tail that explodes in a volatility shock.
- Estimating volatility P&L linearly with Vega alone, missing the acceleration Vomma adds in a big IV move.
- Assuming ATM options give the most volatility convexity — they have high Vega but low Vomma; the wings hold the Vomma.
- Confusing Vomma (Vega vs volatility) with Vanna (Delta vs volatility) — both are volatility cross-Greeks but measure different things.
How professionals use Vomma
Volatility specialists think in Vega and Vomma together: they know ATM options give stable Vega while OTM wings give convex, accelerating Vega, and they build long-Vomma structures when positioning for a volatility explosion around major Indian catalysts. They also respect the short-Vomma risk embedded in selling cheap wings, sizing it as a genuine tail exposure rather than free premium.
Vomma — frequently asked questions
What is Vomma in options?
Vomma measures how much an option's Vega changes when implied volatility moves. It is the convexity of volatility exposure, sometimes called 'volatility of volatility'.
Why do out-of-the-money options have high Vomma?
Because as IV rises, an OTM option's chance of coming into play jumps sharply, so its Vega increases fast. ATM options have high but stable Vega, hence low Vomma.
How do I profit from Vomma?
Hold positive-Vomma positions (often OTM options or specific spreads) when you expect a large volatility expansion — your Vega grows as IV rises, accelerating gains.
Is Vomma positive or negative?
Positive for long options and negative for short options. It is smallest at-the-money and largest in the wings.
Why do OTM options explode during a volatility spike?
Because of high Vomma. As India VIX jumps, their Vega climbs and the options gain value far faster than a linear Vega estimate would predict.
Should retail traders track Vomma?
For simple positions it is optional, but understanding it explains why cheap OTM wings can explode in a shock and why selling them carries real tail risk.
Is Vomma a first- or second-order Greek?
Second-order. It is the second derivative of the option price with respect to volatility.
How does Vomma relate to India VIX?
When India VIX spikes, implied volatility across options rises, and Vomma governs how much your Vega — and therefore your P&L — accelerates during that expansion.
People also ask about Vomma
These questions are answered in detail on their own pages:
Sources & references
- Black, F. & Scholes, M. (1973). “The Pricing of Options and Corporate Liabilities.” Journal of Political Economy, 81(3), 637–654.
- Hull, J. C. Options, Futures, and Other Derivatives (10th ed.). Pearson, 2017.
- Natenberg, S. Option Volatility and Pricing (2nd ed.). McGraw-Hill, 2015.
- NSE India — India VIX (volatility index) methodology and derivatives data.
Published 22 April 2026. Educational content only — not investment advice.