I don't think it will drop any further as it has started to recover itself from the recent drop which was one of the worst in last few years and I feel 10k has become like the lowest it can go and I believe bitcoin will cross 20k mark by the month of June or more precisely by third quarter of this year.
yes absolutely it will never drop again since the price started to recovering, perhaps the price will be stable around 12-13k and we will see the price always fluctuating on that value and for sure after this month end or first week of feb it will climb and touch down the all time high value again.