God exists in the presence of belief and belief exists in the presence of faith. So if you believe then your god, however you imagine him/her/it then he/she/it exists.

As I have pointed out before--if you do not believe then god does not exist--like Tinkerbell, you have to believe in god for the entity/thing/universe you imagine as god to have existence.

So the anwer to "Does god exist?" is "Only inside your own imagination, but there the concept of god is unfettered."