Option Greeks

The "Greeks" measure how an option's price reacts to the things that move it — the underlying price, time, and volatility. On a broker screen like thinkorswim they appear as a row of live numbers for each position. Here's what each one means.

The four primary Greeks

ΔDelta

Delta is the speedometer of an option: it tells you how much the option's price moves for a $1 move in the underlying. A delta of 0.50 means the option gains about $0.50 when the stock rises $1 (and loses about $0.50 when it falls $1).

It is also read two other ways. As a share-equivalent: a single option with 0.50 delta acts like 50 shares of stock, so at the position level delta is multiplied by contracts × 100 — a position delta of 100 behaves exactly like owning 100 shares. And loosely as a rough probability of finishing in-the-money: a 0.30-delta option is about 30% likely to expire with value.

How delta changes as the stock moves through the strike
+1.0+0.50−0.5−1.0STRIKEstock LOWERstock HIGHERCALL deltaPUT delta

The curve above shows why the range differs by type. As the stock rises, a call goes from barely responsive (delta near 0, far out-of-the-money) to moving dollar-for-dollar (delta near +1, deep in-the-money). A put mirrors this from 0 down to −1. Delta changes fastest right around the strike — that rate of change is Gamma, the next Greek.

Range at a glance: calls 0 → +1 (more positive as the stock climbs) · puts 0 → −1 (more negative as the stock falls) · long stock is a flat +1.00 per share · a delta-neutral position sums to 0.
ΓGamma

Measures how fast delta itself changes as the underlying moves. High gamma means delta shifts quickly (near-the-money, near expiry). Gamma ≈ 0 means delta is stable — typical of stock or deep-in-the-money positions.

Gamma is largest at the strike and fades on both sides
high0STRIKEdeep OTMdeep ITMGAMMA
When it matters: largest for at-the-money options near expiry · fades toward 0 when deep in- or out-of-the-money.
ΘTheta

Measures the change in value from the passage of one day ("time decay"). A theta of −0.2258 means the position loses about $0.23 per day, all else equal. Buyers of options pay theta; sellers collect it.

Time value bleeds away, faster as expiry nears
value0todayEXPIRYoption value
Sign: negative when you own options (you pay decay) · positive when you sell them (you collect it).
νVega

Measures the change in value for a 1-point change in implied volatility. A vega of 0.10 means +$0.10 if IV rises one point. Vega ≈ 0 means the position has no volatility exposure — again, stock-like.

Higher implied volatility lifts option value
higherlowlow IV (calm)high IV (fear)option value
Sign: positive when you own options (rising IV helps) · negative when you sell them.

What is implied volatility (IV)?

Implied volatility is the market's estimate of how much a stock will move — up or down — over the life of an option, shown as an annualized percentage. It is "implied" because it is not observed directly; it is back-calculated from the option's price. Expensive options imply large expected moves (high IV); cheap options imply small ones (low IV).

Rough intuition — the "÷16" rule: IV is quoted as an annual percentage, but to get the expected daily move you divide by the square root of the number of trading days in a year. A year has about 252 trading days, and √252 ≈ 16 — so daily move ≈ IV ÷ 16. (Volatility scales with the square root of time, not time itself, which is why it's √252 and not 252.) That makes VIX 16 ≈ 1% daily moves, and VIX 32 ≈ 2% — double the turbulence.
VIX / IVExpected daily moveMarket moodShare of days*
10~0.6%very calm~9%
16~1.0%normal / baseline~40%
20~1.3%mild unease~22%
24~1.5%elevated~14%
32~2.0%stress~9%
48~3.0%high fear~4%
64~4.0%panic~1%
80~5.0%crisis (2008 / 2020 peaks)<0.5%

Daily move ≈ VIX ÷ 16. These are one-standard-deviation estimates — actual moves are larger roughly a third of the time.

*Approximate share of daily VIX closes that have fallen in the band around each level since 1990 (rounded). The VIX sits below ~20 most of the time — its long-run median is around 17–18 — and spends only a small fraction of days in the stress-and-above zones, which is why high readings tend to be brief.

The four basic positions — buyer & seller of each type

Every simple option trade is one of these four. The diagrams show profit/loss at expiry as the underlying moves; the dashed line is the strike, the horizontal line is break-even (zero P&L).

Long Call buy a call
0STRIKElowerhigherLONG CALL

View: bullish — you expect the stock to rise.

Max gain: unlimited (rises with the stock).
Max loss: limited to the premium paid.

You want: a big up-move, soon, before time decay eats the premium.

Greeks: long Delta (+), long Gamma (+), short Theta (−), long Vega (+).

Best when: you expect a sharp rally and want defined risk with large upside.
Short Call sell a call
0STRIKElowerhigherSHORT CALL

View: bearish-to-neutral — you expect the stock to stay flat or fall.

Max gain: limited to the premium received.
Max loss: unlimited if the stock keeps rising (very risky uncovered).

You want: the stock to stay below the strike so the call expires worthless.

Greeks: short Delta (−), short Gamma (−), long Theta (+), short Vega (−).

Best when: you are neutral/bearish and want to collect premium — safest when covered (you own the stock).
Long Put buy a put
0STRIKElowerhigherLONG PUT

View: bearish — you expect the stock to fall (or want protection).

Max gain: large — grows as the stock drops toward zero.
Max loss: limited to the premium paid.

You want: a big down-move, soon; also acts as insurance on shares you own.

Greeks: short Delta (−), long Gamma (+), short Theta (−), long Vega (+).

Best when: you expect a sell-off, or you want to hedge a long stock position.
Short Put sell a put
0STRIKElowerhigherSHORT PUT

View: bullish-to-neutral — you expect the stock to stay flat or rise.

Max gain: limited to the premium received.
Max loss: large — grows as the stock falls (you may be assigned the shares).

You want: the stock to stay above the strike so the put expires worthless.

Greeks: long Delta (+), short Gamma (−), long Theta (+), short Vega (−).

Best when: you are neutral/bullish, happy to buy the stock cheaper if assigned, and want to collect premium.
The symmetry: buyers (long call / long put) pay premium, own Gamma and Vega, and fight Theta — they need a move. Sellers (short call / short put) collect premium, are short Gamma and Vega, and are paid by Theta — they need quiet. Neither side is "best": buyers want movement, sellers want stillness.

A fifth you'll sometimes see — Rho

Rho measures sensitivity to a 1-percentage-point change in interest rates. It matters most for long-dated options (LEAPS) and is usually small for short-dated trades, which is why many screens hide it.

Rule of thumb: Delta = direction, Gamma = how that direction accelerates, Theta = the clock, Vega = the volatility weather. Option buyers are long Gamma/Vega and short Theta; sellers are the reverse.

Educational reference only — not investment advice. Greek values shown are illustrative.