@Moon, in addition to what
@FSU said... the entire last day of expiration, your models don't really work. You just look at what the straddle value is... look at direction, where your risk is and generally limit exposure. The expiring month isn't really hedged anymore by the next expiration months either. vega is zero, gamma is extreme at the ATM... therefore delta's can change rapidly... so the expiring month is basically non-hedgable...
If you're still quoting until the end, you expose yourself to all sorts of things.
I remember a Swiss stock, can't remember which one... I think it was some smaller pharmaceutical.. but not tiny. We we're quoting the expiry and got lifted out of the blue on fairly large size in an OTM call right before close... 'hedged' a little bit, but it was 2 or 3% OTM on expiry, with only the closing auction left. So... of course in the closing auction the stock gets lifted right through the strike... about 15% or so... massive loss... we partially hedged in the auction (at the high of course, since it's an auction). Rumours hit right after about a possible takeover... we buy some more stock OTC... We had some other OTM calls as a long position and of course ITM puts, but what do you do?? Exercise or not? If all shorts got assigned, we would be short delta on Monday... takeover would hurt even more... if we would exercise some further long OTM calls to get long delta, you take the gamble of a takeover... it's still rumours...
Next Monday, stock opens only about 8% higher compared to pre-auction.. (so basically lower compared to the prev. close)... so we made back some money, but it still hurt...
There's plenty of other anecdotes... after the Lehmann collapse, can't remember the exact timeline, but also on expiration before European markets opened in September or October news of intervention came out... European banks skyrocketed on expiration day... 20-30%. Indices like DAX and AEX went up 6-10% at the open! If you don't have your shit together and have all sorts of open OTMs... that can really really hurt. We had positions in certain stocks that lost 1-2 million... and made that in other stocks. Company wide we made very good money, but some individuals we're not exactly enjoying... luckily we traded as teams, so no real pain individually.
Moral of the story.... trading the expiry month on the last day is pretty much a gamble, so why run large risks for pennies....