Hi "rane", and welcome to the forum!
I'm just expanding on and adding to what the others said:
The thing is there is another apartment below and i would like to isolate/soundproof the floor as hard as it's possible.
Trying to isolate a studio on an upper floor (any floor that is not the ground floor), is very much harder, for several reasons. The ground is an excellent damper, extremely massive, and absolutely sealed. An upper floor is not massive, not damped, and has an unsealed cavity below it: the room downstairs. That's not to say that it is impossible to isolate an upper room: it can be done. Except that it is much more complicated if you need high levels of isolation, and will cost a lot more money. Are you willing to spend that?
What is the best solution for totally (or nearly) soundproofing the floor so that the neighbours can't hear the music when its loud?
Assuming that you mean you don't want the neighbors to hear when your band is playing loud music in your studio, that means you have levels of about 120 dB, and you want to get them down to under 40 dB. That's over 80 dB of isolation. That is really, really hard to do. You wold have to float your entire room, and that is very complicated, and very expensive.
Is it actually possible to do that?
Yes it is possible, if you have a lot of money to spend, and are willing to make major structural modifications to the building so that it can support the huge amount of mass that you would need.
We planned on spending about 3000-4000$ on construction (floor, walls, ceiling) but it may be a little more..
You don't need to spend a little more than that: you need to spend a LOT more than that. About ten to twenty times more, at a rough guess. It's really hard to estimate the cost without knowing more about the size of the area you need to build, and the details of the building construction. But it is going to cost a lot more than what you are thinking.
Sorry I don't have good news for you, but that's the sad truth.
This thread might help you understand the issues better. It's really meant for people who think they need to float their floor when they really don't, but in your case you actually do, so the thread isn't really written in the correct sens for you, but it does clearly explain the problems with floating a floor properly:
http://www.johnlsayers.com/phpBB2/viewt ... f=2&t=8173
- Stuart -