Τὰ πάντα ῥεῖ.
The price will never stabilize in the long run; it'll just be less fluctuating than it is now, assuming there will be more institutions and countries in play. And that's because there's nothing stable in the nature to begin with. State intervention might have boiled things down with market regulations so far, but bitcoin is another thing.
There is no freer market than the bitcoin one. And a so free market comes with destabilization, as third parties can't intervene to disrupt it.
Authorities can't confiscate it. They can't control who's gonna move what, let alone the demand & supply. They can't criminalize/stop/regulate its use effectively. Gold bugs cannot rival what we've built here. Gold Standard is an innocent fool in comparison with the Bitcoin Standard. Ultimately, we're talking about the yet best, individual's-rights-preserving money.
Here is a hard fact: If you're only here to make money, then walk the plank and convert all your holdings to Ethereum (with their 2.0 launch mania you will make a hansome profit in the next 1-2 months).
Hard fact? You mean bareless speculation?