Vega: The Greek That Moves Without the Stock
Shock volatility by ten points and watch your P&L move while the stock does nothing.
Worth reading first: Implied Volatility Is a Price, Not a Prediction
Course catalogue99 lessons
The greeks so far have all been about the stock: how the option reacts when the price moves, how fast that reaction changes, and what the calendar does in the meantime. Vega is the one that moves your P&L while the stock sits still.
That takes some getting used to, and it is why premium sellers are sometimes described as being in the volatility business rather than the direction business.
Shock the volatility, hold the stock
Apply a change in implied volatility with the stock unchanged, and watch the premium reprice. The lower chart shows how vega itself depends on time remaining.
points of IV, stock unchanged
- Vega rises with time remaining
What the number means
Δ option price ≈ vega × Δ implied volatility, in pointsOne 'point' of volatility means one percentage point, from 30% to 31%.
A contract with vega of $0.12 gains or loses about twelve cents a share, $12 a contract, for every point implied volatility moves. Short it and the signs flip: falling volatility puts money in your pocket.
Long options are long vega. Short options are short vega. As with gamma, it makes no difference whether it is a put or a call. Buyers gain when volatility rises, sellers when it falls.
Selling premium is a volatility position
This is the part worth taking on board. Sell a cash-secured put and you have taken three positions at once, whether you meant to or not.
- Long the stock, through positive delta.
- Long time, through positive theta.
- Short volatility, through negative vega.
Most beginners know about the first, half-know about the second, and have no idea about the third until a volatility spike shows them a loss on a position where the stock barely moved. Nothing went wrong. The third position moved against them.
| Implied volatility | Put is worth | Seller's mark | What happened |
|---|---|---|---|
| 30%, at entry | $2.40 | $0 | Opening mark |
| 22%, vol falls | $1.52 | +$88 | Nothing happened, and you made money |
| 45%, vol spikes | $4.19 | −$179 | Nothing happened, and you lost money |
| 60%, panic | $5.86 | −$346 | Still nothing happened |
A $95 put sold for $2.40 with the stock at $100 and 30 days left. Stock unchanged throughout.
The stock closed at $100 in every row. An unrealised loss on a short premium position does not mean your view on direction was wrong. It can just mean the market repriced how uncertain it feels.
Vega grows with time, unlike theta
The second chart plots vega against days remaining, and it slopes the opposite way from the theta curve. Long-dated options have big vega and small theta. Short-dated options have small vega and big theta.
That gives you a rule of thumb. If your worry is a volatility shock, some macro event you cannot size, shorter contracts limit the damage. If you want to bet that volatility is too high and will come down, longer contracts give you more exposure per contract.
It also explains why a 45-day position feels so much more sensitive to the market's mood than a 7-day one at the same strike.
The event case: IV crush
The biggest and most predictable vega move most retail traders meet is IV crush after a scheduled event. Implied volatility builds into an earnings print because nobody knows the answer, then collapses the moment it is known, often within minutes of the open.
For a seller that collapse is welcome, which is why selling into earnings is popular. It is also why the premium was so big to begin with: you are being paid for the gap risk that the crush compensates. The earnings lesson separates the two forces and shows where the line sits.
What can go wrong
Reading a vega loss as a directional mistake. They need different responses. Check whether the stock actually moved before deciding you were wrong.
Selling into a volatility spike expecting it to reverse immediately. Volatility does mean-revert over long horizons, and it can keep climbing for weeks first. Being right eventually is not the same as surviving.
Ignoring vega on longer-dated positions. A 90-day short put carries several times the volatility exposure of a 20-day one at the same strike.
Reading low IV as low risk. It means low pay. That is closer to the opposite.
Key takeaways
- Vega is P&L per one-point change in implied volatility, with the stock unchanged.
- Long options are long vega and short options short vega. Selling premium is a short-volatility position by construction.
- A short premium position can lose money on a day the stock does not move. That is vega, not a bad call on direction.
- Vega grows with time remaining, the mirror image of theta. Long-dated contracts carry far more volatility exposure.
- Because you are short volatility, when you sell matters. IV rank tells you whether the pay is good.
Check your understanding
1. You are short a put with vega $0.10. Implied volatility rises 8 points and the stock does not move. Roughly what happens?
2. Which contract carries the most vega, all else equal?
3. Selling a cash-secured put makes you short volatility. What follows from that?
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