Quote from science_trader:
You could even buy it at the close on the 5th with a 'market on close' order if your broker let you do that. I've done it, and received my dividends.
Anyway, I hope you know that price will go down as much as the dividend (not exactly, but in the average, it does).
Quote from JackR:
First and most important would be the size of the dividend.
I'd say if the option was ITM the price would change. If it was out of the money I'd guess that Black-Scholes should have factored it in and you'd see no change. However, that would probably be influenced by how far out the expiration date was. I'm no expert, I generally do covered calls.