Gamma vs theta: why short expiries pay more and bite harder
Theta is what a seller earns each day from time passing. Gamma is how fast a stock move changes the risk. As expiry gets close, both grow at the same time, so the last few days pay the most per day and can lose a week of decay on one small move.
The short answer
Theta is how much an option loses in value each day, all else equal. When you sell an option, that decay is money moving toward you. It's the "rent" a seller collects.
Gamma is how fast Delta changes when the stock moves $1. In plain words, it's how quickly a small move turns into a big one. For a seller, high gamma means losses speed up as the stock moves against you.
They're two sides of one deal. You can't get big daily theta without taking big gamma. Near expiry, both climb together. That's why short-dated options pay the most per day and why they can wipe out a week of gains in a single afternoon.
Side by side
| Theta | Gamma | |
|---|---|---|
| Measures | Value lost per day from time | How fast delta changes per $1 move |
| For a seller | Works for you | Works against you |
| Near expiry | Grows | Grows |
| Biggest at | At-the-money options, last days | At-the-money options, last days |
| You feel it | Slowly, every day | Suddenly, on a move |
| Covered in | Theta decay explained | Gamma risk for sellers |
One short put, three expiries (hypothetical)
Birchfield Motors, a made-up stock, trades at $100. Implied volatility is 30%. You sell the $100 put, right at the money. We look at the same put with 45, 21 and 3 days left. All prices are Black-Scholes model values per contract, with a 4% interest rate.
| Days to expiry | Premium | Theta per day | Gamma | A $2 drop costs you | Days of theta to earn it back | A $4 drop costs you |
|---|---|---|---|---|---|---|
| 45 | $395 | $4 | 0.04 | −$100 | 24 | −$215 |
| 21 | $275 | $6 | 0.06 | −$106 | 17 | −$233 |
| 3 | $107 | $18 | 0.15 | −$126 | 7 | −$298 |
Read the rows top to bottom.
Theta grows. At 45 days, time pays you about $4 a day. At 3 days, about $18 a day. More than four times as fast. That's the pull of short expiries.
Gamma grows faster. At 3 days, gamma is about four times what it was at 45. Same strike, same stock. The option's risk now changes much more for each dollar the stock moves.
So the same move hurts more. A $2 drop costs $100 at 45 days and $126 at 3 days. A $4 drop costs $215 at 45 days and $298 at 3 days. The gap widens with every extra dollar. That's gamma at work.
The 3-day row: a week of theta, gone
At 3 days, you're earning $18 a day. A $2 drop costs $126. That's seven days of theta, and there are only three days left. You can't earn it back by waiting.
Here's how fast the risk shifts. With 3 days left, the put's delta is about 0.49. After that $2 drop, it jumps to about 0.76. Now each further $1 down costs you about $76, not $49. If Birchfield ends at $96, the put is worth $4 at expiry. You collected $1.07. That's −$293.
Compare the 45-day put. The same $2 drop costs $100, but you have 45 days of theta to help, and the delta moves from 0.46 to only about 0.54. Slower, calmer, more time to decide.
How sellers handle the trade-off
You don't have to pick theta or gamma. You pick where on the curve you sit.
- More time (30 to 45 days). Less theta per day, much less gamma. Moves hurt less and you have room to roll. This is where many sellers open trades.
- Less time (under a week). The most theta per day, and the most gamma. A small move decides the trade. 0DTE vs weekly options covers this end.
- Close before the last days. Many sellers take profits or roll with a week or two left. They skip the stretch where gamma is highest for the last few dollars of premium.
In the wheel strategy, a gamma surprise near expiry usually means assignment. Fine if you wanted the shares, painful if you sized too big.
Gamma also explains why a short straddle feels so violent near expiry. Short straddle vs iron butterfly shows what wings do to that risk. And when earnings land inside a trade, a third force joins in. IV crush vs theta decay splits the two apart in dollars. To see every strategy side by side, use the options strategy comparison chart.
The theta decay calculator shows how the daily decay changes as expiry gets close.
Questions
What is the difference between gamma and theta?
Theta is how much an option loses each day from time passing. Gamma is how fast delta changes when the stock moves. Sellers earn theta and carry gamma risk.
Why does theta increase near expiry?
An at-the-money option's time value has to reach zero by expiry. As the days run out, the same value melts over fewer days, so each day takes a bigger share.
Is high gamma good or bad for option sellers?
Bad, mostly. High gamma means a small move against you quickly becomes a bigger loss. Buyers like gamma; sellers pay for theta with it.
Why do weekly options feel riskier than monthly ones?
Their gamma is much higher. In the example, a 3-day put had about four times the gamma of a 45-day put at the same strike.
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