Sterling will end up at Bayern in my opinion if he does leave as they need the next ribery and outside Hazard he is the closest thing.
This sage won't play out very well for liverpool unless someone does a stupid and bids over £40m. Everyday he doesn't sign then the value drops markedly, at the end of the next window if he hasn't got a contract or liverpool haven't sold then they are going to miss out on a bag of cash. Personally I think he will sign with a release clause that actually exists in specific terms.