Given the fact the game shut down after only three months, there weren't many subscribers to MMO title APB. If you were one of the lucky/unlucky few, don't go expecting a refund, because you won't be getting one.
Begbies Traynor, the firm responsible for administrating the remains of failed developer Realtime Worlds, says that anyone wanting a refund has to speak to the retailer they bought it from. Being a PC game, practically no bricks-n-mortar store will give you one, while online retailer Steam doesn't give refunds either.
The only silver lining, in fact, comes from publisher EA, with reports surfacing that people reaching out to the publisher directly are receiving compensation in the form of discount vouchers or even free games.
No APB refunds, but EA offers free games [Eurogamer]