I'm not sure Bitcoin will reach a stable point, Bitcoin is very much different from other currencies such as dollars etc.

There is a reason for Bitcoin to be unstable.
• Bitcoin exchange rate is based on investment portfolio factors, trading, mining and buying and selling power.
Here it is clear that Bitcoin has an important role for investors to determine profits in real terms, besides that the factors that can affect Bitcoin cannot be stable in circulating supply and the other is the Bitcoin users themselves, Bitcoin is used by people all over the world and without controlling it.

Different from fiat money which can make them stable many factors for example: inflation, interest rates, normal politics and also government policies.

Conclusion: Bitcoin works in a decentralized peer-to-peer manner as we know it generally and is done electronically, to determine a stable Bitcoin is quite difficult, arguably and impossible.