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.
We do not know about the timing of market related to the price but can estimate the value of Bitcoin which is called the average rates of different market factors. As long as the demand of Bitcoin is going low then the coins price will also going low. We have seen many ups and downs in the market and have seen its recovery conversely and this time same will happen.