Gamma on expiry day
Why an at-the-money option's delta swings wildly in the last hours, what that does to short straddles, and what the history of 0–2 day entries shows.
Gamma is how fast delta changes as the underlying moves. For an at-the-money option it grows as expiry approaches: in the last hours of expiry day, a move of about half a percent can take a call's delta from about 0.2 to 0.8 (a week out, the same swing needs a move of about 3%).
The same 1% move, at different distances from expiry
| Days left | ATM call delta → after +1% | ATM straddle premium | Short straddle after +1% | Per NIFTY lot |
|---|---|---|---|---|
| 30 | 0.56 → 0.67 | 749 pts | −58 pts | −₹3,768 |
| 15 | 0.55 → 0.69 | 528 pts | −59 pts | −₹3,855 |
| 7 | 0.53 → 0.74 | 360 pts | −69 pts | −₹4,454 |
| 3 | 0.52 → 0.81 | 235 pts | −89 pts | −₹5,765 |
| 1 | 0.51 → 0.93 | 136 pts | −129 pts | −₹8,383 |
| 0.25 | 0.51 → 1.00 | 68 pts | −183 pts | −₹11,916 |
For a seller, high gamma means losses that accelerate: the same 1% move that a weekly short straddle absorbs easily a week out can wipe out the whole premium on expiry day. For a buyer it is the reverse — a cheap option can multiply in value — but most expiry-day options still finish worthless.
