Consider an americal Call option on an underlying paying dividends. Then it is often argued that it is only optimal to exercise right before the dividend is paid out, otherwise one will not exercise.
Now what if the dividend is continuous -can one then always see exercise?
Furthermore, is a reasonable assumption that the above strategy is possible? I have little experience with how things actually works, but is it, in practice, known beforehand when lump sum dividends are paid out?