Beyond the Big Five: What Vanna, Charm, and Vomma Actually Measure
The big five are a first derivative, not the whole picture
Delta, gamma, theta, vega, and rho each measure how an option's price responds to a one-unit move in something else — spot, time, or volatility. But delta, vega, and theta aren't fixed numbers; they're themselves functions of spot price, implied volatility, and time. As those inputs move, the Greeks you're already tracking move too, and how fast they move is its own set of sensitivities: vanna, charm, and vomma. Traders sometimes call these the "second-order" Greeks, because each one is a derivative of a derivative — the rate of change of a rate of change.
For a single small retail position with weeks left on the clock, these effects are usually too small to matter next to gamma and theta. The reason to understand them isn't to trade them directly — it's that dealer hedging books are enormous, and dealer hedging books run on exactly these numbers.
Vanna: how delta reacts when implied volatility jumps
Vanna is the sensitivity of delta to a change in implied volatility — equivalently, it's the sensitivity of vega to a change in the underlying's price. The two are mathematically the same quantity, just viewed from opposite directions.
Here's the intuition: an out-of-the-money call has a small delta because the market thinks it's unlikely to finish in the money. If implied volatility suddenly spikes, that same strike now looks more reachable, so its delta rises even though the stock hasn't moved a cent. Vanna is what's quantifying that shift. It tends to be largest for OTM options and matters most in environments where volatility itself is jumping around — earnings weeks, macro releases, or a market-wide vol spike.
Charm: the delta you lose from time passing, nothing else
Charm — sometimes called "delta decay" or "delta bleed" — measures how delta changes purely from the passage of time, holding the stock price and implied volatility constant. It answers a specific question: if the stock closed unchanged today, how different would this option's delta be tomorrow morning purely because there's one fewer day on the clock?
Charm is close to zero for a deep ITM or deep OTM option — their delta is already anchored near 1 or 0 and time alone won't move it much. It's largest for near-the-money options close to expiration, which is exactly where gamma is also largest. That overlap is why the final days of an option's life feel so unstable: the same forces stretching gamma are also dragging delta around even on a flat tape.
Vomma: the convexity hiding inside vega
Vomma measures how vega itself changes as implied volatility changes — the second derivative of the option's price with respect to volatility. A position with positive vomma sees its vega grow as IV rises, which means a long-vega position with positive vomma gains value at an accelerating rate during a volatility spike, not a linear one.
Vomma tends to be largest for options that are further out of the money and for longer-dated contracts, where a change in IV has more room to reshape the whole probability distribution of outcomes. It's the reason long-dated OTM strangles are sometimes used specifically as "vol of vol" plays — the position isn't just betting IV rises, it's betting on how convex that rise is.
Why dealers watch these more than retail traders do
A market maker running a large short-options book doesn't just hedge delta once and walk away — they rehedge constantly, and vanna and charm describe how much their hedging requirement shifts without any new trade being placed. On a day when implied volatility is falling into an option expiration, vanna and charm flows can push dealers to buy or sell the underlying in a fairly mechanical, self-reinforcing way, independent of any actual news. This is part of the same dealer-positioning story behind concepts like gamma exposure — see OptionScope's GEX explainer for how aggregated dealer gamma gets estimated across a whole chain.
Options desks that run large multi-leg, multi-expiration books also use vomma and vanna to explain P&L that gamma and vega alone can't account for — the classic case being a position that's flat on both Greeks at the start of the day but still moves because volatility shifted in a way that changed the Greeks themselves.
When a smaller trader should actually care
For a single-leg position with a few weeks to expiration, the first-order Greeks explain nearly all of your day-to-day P&L, and chasing vanna or vomma exposure directly isn't a practical retail strategy. Two situations are the exception. Near-the-money options in the final days before expiration accumulate charm fast enough that your delta — and therefore your directional exposure — can shift meaningfully overnight with the stock unchanged. And multi-leg structures like calendars and diagonals are, by construction, bets on how vega and gamma interact across two different expirations, which means their second-order behavior isn't a side effect — it's the whole trade.
You can watch the underlying first-order Greeks shift in real time across strikes and expirations in OptionScope's Greeks Lab, and revisit the base five in the Greeks explainer before layering the second-order concepts on top.