The price looks pretty "stable" to me: if I had to guess, based on what the market's done, I'd say that it was stable in October, volatility increased dramatically in November, and has been declining since then with a few increases in early/mid January and then again in early/mid February.
Fortunately, I don't need to trust my guesstimate (or anyone else's). There's a standard, widely accepted, definition of volatility, and there's even a website that measures and displays BTC/USD volatility (and even compares it with other currency pairs, like USD/EUR). (And it looks like my back-of-an-envelope analysis was slightly wrong - volatility actually fell in early/mid February. Thank goodness I don't need to rely on my own - or anyone else's - guesswork).
I think that dude means total stability. I personally like the way the price is moving since its very first exchange listing as it makes me great profits year on year. Don't want to see that change, but I am sure it won't change.
If you look at the overal price the last months, then the price remained fairly stable around the $400 level if you ignore the dumps to sub $400 and the peaks to +$440.
I don't think we all want total stability, either - even leaving aside the sheer impossibility of it! CNY was "stable" for many years (pegged to USD) and we're seeing now where that leads (sucks to hold CNY; USD and BTC - not so much). Fortunately Bitcoin has no Peoples Bank of China, so volatility - even if low - is likely here to stay, same as nearly every other currency.