Second-order Greek

Vomma

How Vega changes with implied volatility (volatility convexity).

Quick answer: Vomma measures how much an option's Vega changes when implied volatility moves — the convexity of your volatility exposure, which makes long-Vega positions gain Vega as volatility rises.

Simple explanation

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.

Vomma — visual

How Vomma behaves

Vomma dips toward zero at-the-money and rises into both wings — a twin-hump 'volatility of volatility' profile that rewards long-vol positions when IV expands.

ATM2320023850245002515025800VommaNifty spot
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

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.

Formula

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.

Practical example (Nifty)

Illustrative — Nifty spot 24500, lot size 75

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.

Practical trading impact

  • 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 mistakes

  • 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.

Professional usage

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.

Key takeaway

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.

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.
What is the difference between Vega and Vomma?
Vega is the sensitivity of price to volatility; Vomma is the sensitivity of Vega itself to volatility. Vomma is the second-order, convexity term.
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.
What is the difference between Vomma and Vanna?
Both involve volatility. Vomma is how Vega changes with volatility; Vanna is how Delta changes with volatility. Vomma is volatility convexity; Vanna is a price-volatility cross-term.
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.

Sources & references

Last reviewed 7 July 2026. Educational content only — not investment advice.

Educational content only — not investment advice. Greek values are illustrative and computed from a Black-Scholes model. Options trading involves substantial risk. See our Risk Disclosure and SEBI Disclaimer.