If you do some research on this forum, you'll have the answer.
I searched for "email marketing", "opt in". Some of them are about collect email and send out with some software. Some are telling that the way to start is through PPC, CPA, FB ads, social buying, solo ads....
But they are in general talking, I don't know where exactly should I invest my $200.
As tayaX suggested, you gotta do some research before investing. Do some split testing on Various campaigns to see which method works for you. Please read http://www.blackhatworld.com/blackhat-seo/making-money/442600-making-money-email-lists-my-40k-month-strategy.html - It's one of the best threads in BHW about Email Marketing and should answer most of the questions you may have on your mind.
Your question is like this one:
How long can I run if I have a $200 trainers?
There are tons of facts which will affect your actions, and before deciding to spend any money, dedicate a long time to do market research.
didn't laugh so hard in a long while
@OP
dude...do your research, then do some media buys.
let's say you have good banners and get a 0.2% CTR
and you pay $0.5 per 1000 views.
this means you get a visit with $.25
then, let's presume again that you write good copy for the squeeze page and you have a 10% conversion (as in people who put in their email).
$200 / $.25 = 800 hits > 80 emails...maybe 100 if you get lucky
Highly targeted, filtered by you, not on everyone's else list.
is this an answer you were looking for?