Will the price become more steady or will it continue to fluctuate as it does now?
I would assume that after every single coin is mined... Which will take ages of course, that the currency supply stabilises and the price will probably become steadier than right now because right now the currency base is still expanding.
But it'll still fluctuate, it'll just become steadier. Because right now the miners are dumping the coins to pay their electricity bills and after every single coin is mined they don't have to worry about that anymore
I think that when more people start to learn about Bitcoin, the price is rise as the demand for Bitcoin will rise. When all Bitcoins are mined, I think the price will still rise as no more Bitcoin will come onto the market.