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University
103 · The Greeks

Vega: The Greek That Moves Without the Stock

Shock volatility by ten points and watch your P&L move while the stock does nothing.

Intermediate10 min readUpdated

Worth reading first: Implied Volatility Is a Price, Not a Prediction

Course catalogue99 lessons

Every other greek so far has been about the stock: how the option responds when the price moves, how fast that response changes, what the calendar does in the meantime. Vega is the one that moves your P&L while the stock sits perfectly still.

That is a strange idea the first time you meet it, and it is the reason 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.

40%
-10.00

points of IV, stock unchanged

30 days
Premium before$229
Premium after$133
Vega$0.10per point of IV, per share
P&L if you are short+$96the stock never moved
  • Vega rises with time remaining
Black-Scholes on a hypothetical non-dividend stock at 4% interest. Real IV changes are rarely this clean, and rarely happen with the stock genuinely unchanged.

What the number means

Δ option price ≈ vega × Δ implied volatility, in points

One 'point' of volatility means one percentage point, from 30% to 31%.

A contract with vega of $0.12 gains or loses about twelve cents per share, $12 per contract , for each point implied volatility moves. If you are short it, the signs flip: falling volatility is money in your pocket.

Long options are always long vega. Short options are always short vega. Like gamma, it does not matter whether it is a put or a call. Buyers benefit when volatility rises, sellers when it falls.

Selling premium is a volatility position

This is the practical consequence worth internalising. When you sell a cash-secured put you are taking three positions at once, whether or not you meant to:

  • Long the stock, via positive delta.
  • Long time, via positive theta.
  • Short volatility, via negative vega.

Most beginners are aware of the first, vaguely aware of the second, and entirely unaware of the third, until a volatility spike shows them a loss on a position where the stock barely moved. Nothing went wrong. The third position simply moved against them.

Implied volatilityPut is worthSeller's markWhat happened
30%, at entry$2.40$0Opening mark
22%. Vol falls$1.52+$88Nothing happened, and you made money
45%. Vol spikes$4.19−$179Nothing happened, and you lost money
60%. Panic$5.86−$346Still 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. That is the point: an unrealised loss on a short premium position does not mean your directional view was wrong. It can simply mean the market repriced uncertainty.

Vega grows with time, unlike theta

The second chart in the widget shows vega against days remaining, and it slopes the opposite way from the theta curve. Long-dated options have large vega and small theta. Short-dated options have small vega and large theta.

That gives a clean rule of thumb. If your worry is a volatility shock, an unquantified macro event, an unpredictable market. Shorter contracts limit the damage. If you want to express a view that volatility is too high and will fall, longer contracts give you more exposure per contract.

It also explains why a 45-day position feels so much more sensitive to market mood than a 7-day one, even at the same strike.

The event case: IV crush

The largest, most predictable vega move most retail traders will meet is IV crush after a scheduled event. Implied volatility inflates into an earnings print because nobody knows the outcome, then collapses the moment it is known, often within minutes of the open.

For a seller that collapse is a gift, and it is why selling into earnings is popular. It is also why the premium was so large in the first place: you are being paid for the gap risk the crush is compensation for. The earnings lesson separates the two forces and shows where the boundary sits.

What can go wrong

Reading a vega loss as a directional mistake. They are different things and they need different responses. Check whether the stock actually moved before deciding you were wrong.

Selling premium into a volatility spike expecting an immediate reversal. Volatility is mean-reverting over long horizons and can keep rising for weeks in the meantime. Being eventually right 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.

Assuming low IV means low risk. It means low compensation. Those are almost opposites.

Key takeaways

  1. Vega is P&L per one-point change in implied volatility, with the stock unchanged.
  2. Long options are long vega; short options are short vega. Selling premium is structurally a short-volatility position.
  3. A short premium position can lose money on a day the stock does not move at all. That is vega, not a bad directional call.
  4. Vega grows with time remaining, the mirror image of theta. Long-dated contracts carry far more volatility exposure.
  5. Because you are short volatility, when you sell matters: IV rank tells you whether you are being paid well for the position.

Check your understanding

  1. 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. 2. Which contract carries the most vega, all else equal?

  3. 3. Selling a cash-secured put makes you short volatility. What follows from that?