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.
No one absolutely can. We have seen the tendency for more falls and there is actually the possibility but even if we are to go low that much though, I would not assume to see anything lower than $6200 as that formed some pretty huge support around last year with a very good volume. Nevertheless, we all know that this is a market where nothing is predictable and the only best way to play with the market is to always follow the trend and see where it leads. Assuming a lower level well in advance may help but no one can come up with exact levels hence approximation and buying around those levels may help any one who are looking to re-enter the market.