Your option price moves for reasons beyond the stock price. It can lose value on a flat day (theta). It can drop when the stock goes up (IV crush). It can accelerate in your favor as the stock moves deeper (gamma). The Greeks explain all of it. Here they are in plain English.
Calculate option P&L at any stock price and expiration.
Open Options Calculator| Greek | What It Measures | Analogy | Range |
|---|---|---|---|
| Delta | Option price change per $1 stock move | Your speedometer — how fast you are moving | 0 to 1.0 (calls) or 0 to -1.0 (puts) |
| Theta | Daily time decay (value lost per day) | A melting ice cube — shrinks every day | Always negative for buyers |
| Gamma | Rate of change of delta | Your acceleration — how fast your speed changes | Highest at-the-money, near expiration |
| Vega | Option price change per 1% IV change | Weather sensitivity — how much the forecast affects value | Higher for longer-dated options |
Delta tells you how much the option price moves when the stock moves $1.
| Delta | Option Type | Stock Moves +$1 | Stock Moves -$1 | Probability of Expiring ITM |
|---|---|---|---|---|
| 0.80 | Deep ITM call | +$0.80 | -$0.80 | ~80% |
| 0.50 | ATM call | +$0.50 | -$0.50 | ~50% |
| 0.20 | OTM call | +$0.20 | -$0.20 | ~20% |
| 0.05 | Far OTM call | +$0.05 | -$0.05 | ~5% |
| -0.50 | ATM put | -$0.50 | +$0.50 | ~50% |
| -0.80 | ITM put | -$0.80 | +$0.80 | ~80% |
Delta also approximates the probability of the option finishing in-the-money. A 0.30 delta call has roughly a 30% chance of being profitable at expiration.
Theta is the daily cost of holding an option. It is always working against option buyers.
| Days to Expiry | Theta (ATM $100 Call) | Daily Cost per Contract | Impact |
|---|---|---|---|
| 60 days | -$0.04 | -$4/day | Slow — manageable |
| 30 days | -$0.07 | -$7/day | Noticeable |
| 14 days | -$0.12 | -$12/day | Accelerating quickly |
| 7 days | -$0.20 | -$20/day | Rapid decay |
| 3 days | -$0.35 | -$35/day | Extreme — option melting |
| 1 day | -$0.50 | -$50/day | Nearly worthless if OTM |
This is why buying options with less than 14 days to expiration is risky. Theta accelerates and you need a large, fast move just to overcome the daily decay. Option sellers love theta — it puts money in their pocket every day.
Gamma measures how much delta changes when the stock moves $1. High gamma means your delta (and therefore your P&L) changes rapidly with stock movement.
Vega measures how much the option price changes when implied volatility (IV) moves 1%.
Your $5.00 call option price changed to $4.20 overnight. The stock went up $0.50. Why did you lose money?
The stock went up but IV dropped (maybe an event passed). The vega loss overwhelmed the delta gain. This is exactly the kind of situation the Greeks help you anticipate.
Understand your option before you trade it.
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