@raf_bcn, well basically any option is priced on the basis of forward/future pricing... which take dividends and interest into account. Depending on whether it's an American or European, call or put option, the future pricing will be based on the cum-dividend spot or ex-dividend spot.
Regarding below intrinsic itm calls...
look at it this way:
Spot = 2400
Dividend = 40... on the day before expiration
June Future = 2360
June call 2000 = 400 (if American)
and just before the dividend you should exercise the call... you end up with the spot at 2400, get the 40 dividend at ex-date, spot at ex-date is 2360... total = no loss/gain
June call 2000 = 360 (if European)
you can't exercise before expiration, therefore missing the dividend pay. On ex-div the spot drops to 2360, and on expiration you exercise, get the intrinsic value of 360... total = no loss/gain
They only sell below your perceived intrinsic price, because it actually isn't the real intrinsic value... since it is based on the future pricing, with intrinsic value of 360 and not 400.
If all stays equal, and the spot doesn't move... the spot stays at 2360 after dividend... why would it go up?
Regarding below intrinsic itm calls...
look at it this way:
Spot = 2400
Dividend = 40... on the day before expiration
June Future = 2360
June call 2000 = 400 (if American)
and just before the dividend you should exercise the call... you end up with the spot at 2400, get the 40 dividend at ex-date, spot at ex-date is 2360... total = no loss/gain
June call 2000 = 360 (if European)
you can't exercise before expiration, therefore missing the dividend pay. On ex-div the spot drops to 2360, and on expiration you exercise, get the intrinsic value of 360... total = no loss/gain
They only sell below your perceived intrinsic price, because it actually isn't the real intrinsic value... since it is based on the future pricing, with intrinsic value of 360 and not 400.
If all stays equal, and the spot doesn't move... the spot stays at 2360 after dividend... why would it go up?

