I think so , if btc going to substitute with existing currencies , its value will fix or fluctuates will be less. and also there is another parameter : amount of btc. as you know it is 21.000.000 pieces.
after all btc be on market this also makes stabilization I think. ( But it is going to take so long time)
Yes, It will. When btc has been globally accepted, price will be more stable. Today's price is still volatile due to speculation by investors or traders outside there. High volatility in price is a good opportunity for investors to speculate in getting bigger profit in the future. This is the main factor affecting price to rise or drop sharply in the last few months.