Its really hard to say that bitcoin will reached that kind of amount because its even hard to get bitcoin to 1000$ even with the coming years,on the halving can take major effect on the price of bitcoin.
right...price right now just keep coming back to $400+.. Even after halving, I think the price would still go down little by little... So, $10,000 might not happen even after 2020..
But if we look at the 2013 we will notice that only within a few months the price of bitcoin reach from $400 to $1200, so it is possible in 2016 also. Just believe on bitcoin you will not be disappointed.