Not sure why you think it seems undoable at this point.
In 2013 from July 6th to December 4th BTC went from $63 to $1175 which is 1765%. In 2017 from July 16th to December 17th BTC went up 989%. From today at $36800 to $350000 is only 851% and we have an extra month to hit that 851%. Although the top will most likely be $335000 on December 30th :)
Law of large numbers gets in the way at these levels. While it "only" took a couple hundred million to move the price from $63 to $1175 in 2013, it will literally take hundreds of billions if not trillions of dollars coming in to move the price from $36k to $350k. It's not impossible, but I just don't see that amount of money coming in within such a short period of time.
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There are alot of things happening that could make it happen, more companies buying, countries buying, ETF coming , banks to offer it, going to be offered for 401k's, supply keeps going down and massive inflation coming. I think it will peak on December 30th at $335000 and then fall back to the $50000-$55000 range.
Gold went up 800% after the introduction of ETF's.
On May 27th there were only 2.3 million bitcoin left on exchanges, as this number gets smaller the price will have no choice but to go up, law of large numbers or not. Supply and Demand, if there is no one willing to sell and the supply shrinks people will have to pay up to get their BTC.
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