As of now it appears that there is a very tenuous connection between Bitcoin's price and its volatility.  Whether Bitcoin is $600 or $60,000, as long as it is perceived by most people who are interested in it as volatile, it will retain it's volatility.  In other words, volatility is kind of self-fulfilling, because those who believe it's volatile treat it accordingly as an investment.  I think the more important factor will be much greater day-to-day adoption and usage.  Once Bitcoin is being used for millions of transactions every day all over the world, at that point it's volatility will be dramatically diminished.