My predictions are close to yours. I think that the price can easily reach $20k by the next January - February.. And we can easily touch more than $50k in 20 months from now, probably a little bit more than that.
But yeah, i am still very optimistic about how the price is going to be developing during the next months.
$20k+ -> $70k
Dec 2018 -> Aug 2019
If that ever happens, that's too long. My speculation is it could happen in the last week of April or within May. I really have a strong feeling that the sudden rise of bitcoin recently was the start or maybe a signal.