Bitcoin volatility is definitely here to stay for a long time to come. It is obviously impossible to perfectly predict when this volatility will end but it will most likely reduce once mass adoption occurs.
This volatility exists because people are still unsure about bitcoin and will not end until everyone is educated about blockchain technology. Currently the user base is also relatively low, meaning that a little amount of people hold all its supply and therefore leads to easier market manipulation. As more and more people purchase bitcoin, its distribution becomes more diverse and less price manipulation can occur.