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Lesson
5 min read

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 leftATM call delta → after +1%ATM straddle premiumShort straddle after +1%Per NIFTY lot
300.56 → 0.67749 pts−58 pts−₹3,768
150.55 → 0.69528 pts−59 pts−₹3,855
70.53 → 0.74360 pts−69 pts−₹4,454
30.52 → 0.81235 pts−89 pts−₹5,765
10.51 → 0.93136 pts−129 pts−₹8,383
0.250.51 → 1.0068 pts−183 pts−₹11,916
Illustration: an index at 25,000, Black-Scholes at 13% implied volatility, no skew, before charges. Per unit in index points; one NIFTY lot is 65 units. The move happens instantly; 0.25 days is the last couple of hours of expiry day.

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.

Arthfy numbers
Short at-the-money straddles entered 0–2 days before expiry
Short straddle, at the money, entered 0-2 days before expiry. End-of-day entries held to the expiry settlement. Intraday expiry-day behaviour is in the Expiry Day tab, which replays minute data since October 2024.
0-2 d
3-7 d
8-15 d
16-30 d
31-45 d
Try it in the F&O hub
Opens the tool with this structure on today's NIFTY chain. Reading is free with an Arthfy account; some runs use free attempts.
Replay a short straddle on past expiry daysSame clock time, every past session at the same distance from expiry
See the scenario grid for a short straddleP&L across price moves and days, in the builder
Open the option chainDelta and gamma per strike, live

Related

Straddles & strangles
Short straddle
For education: how the structure works and what it did historically, not a recommendation to trade it.