Short the 95 put, long the 90, 45 days out, stock now at $95.50 — sitting on the strike it sold, which is where these trades get decided.
| Days left | Gamma | Theta a day | What it feels like |
|---|---|---|---|
| 45 | −1.18 | $0.67 | delta drifts |
| 21 | −2.90 | $1.94 | delta moves noticeably |
| 7 | −9.25 | $6.81 | delta moves about eight times as far per dollar |
You cannot be paid theta without being short gamma. They are the rent and the risk on one lease.
Black-Scholes arithmetic from the specification above at 25% volatility and a 4% rate. Not a measured result.
Gamma is not a separate risk bolted onto a premium-selling trade. It is the same risk you were paid to take, measured in a different unit. A position with no gamma exposure earns no theta either.
It is a problem wherever the stock is near your short strike, and expiry makes it sharper. Far out of the money and far from expiry, it is small enough to ignore.
Yes, but bounded. The long leg caps what the position can lose, so gamma steepens and then flattens beyond your long strike. On a naked position there is no such cap.
You can hedge with the underlying, and professionals do. It costs money and attention, and it gives back part of the income that made the trade attractive.
Largely, yes. The same mechanism compressed into hours, which is why the exit rules on those trades are clock times rather than dates.
No gamma-specific result is published yet.
It shows up indirectly in every exit test we run: a time exit that beats holding to expiry is gamma being paid for, and a time exit that loses to it means we were buying protection we didn’t need. Both results will be published.