Well if you listen to John McAfee then by June's end we should be above 15k. I am not the optimistic although I think we will have a successful month and I myself have a target of above 10k by month's end.
We cannot really say how low it can go so whatever others predictions it cannot guaranteed of how much price bitcoin can go. We can guess this month of june the starts of btc price to move to increase. So hopefully this month could surpass the $10k level or if not we have to be patient for the increase of price.