I know this is a newbies section but please spear your groundless speculations, if you have no theory for your speculation then please keep it to your self. There is no such thing as a stabilization when referring to bitcoins, that is if your using proper terminology. Since the amount of bitcoins is constantly increasing, it should of course inflate in an equal pace. Otherwise there would eventually not be any profit in mining and thus the system would come to a halt. So in the rational manner the value of bitcoin should keep rising but perhaps not in the kind of movement we have seen the last couple of weeks but also in the beginning of the year.
Depending on the kind of vision one has regarding bitcoins the value would differ completely. If you see the currency as some kind of substitute to the conventional fiat currencies then the value of bitcoins must rise to a much higher number. Lets say that the we have reached 21 million bitcoins and the value would be 1000 usd, then the total value of all bitcoins would be 21 000 000 000 (21 billion USD). If we compare that to the total value of banknotes and coins in a single nation, lets say Sweden. Sweden has a total value of all banknotes and coins in circulation of 14,8 000 000 000 (14,8 billion USD), which means that after saturated Swedens demand of banknotes and coins the total value of bitcoins would only still be at 6,2 billion USD.
Basically, the value of bitcoins needs to increase significantly inorder to achieve any kind of prosperity.