Since the total number of bitcoin is fixed, so the value of bitcoin will keep grow, and it's price will keep grow also. So will there a price cap for bitcoin?
I don't think so. Maybe time will come wherein the value of bitcoin will remain constant and that may happen if bitcoin has ended up being legalized already all over the world. That time may be too far from now but as we all can see right now, the value of bitcoin has been rising a lot these days and as this matter continue, the possibility that the value will fall down fast may occur as things go worse nowadays.
Every mankind-built thing has their peak point and definitely bitcoin is also one of them. It is reality that at a point increase in the price of bitcoin will become stable but at this current point we can say that bitcoin price will increase forever because that point is so much far when the price will become stable.
By most of experts, current time is considering the beginning time of bitcoin and they predict even in near future the increase in the price upto $100,000 and no doubt that bitcoin will touch the predicted increase very soon.