For bitcoin's price to stabilize, a large scale economy needs to develop with more businesses and users. For a big economic of scale like this all businesses and user need to find the equilibrium of price stability.
Luckily, volatility does not impact the core benefits of Bitcoin as a payment system to transfer money from point A to point B. There is such a high probability that all businesses can convert Bitcoin payments to the tradition payments suddenly, permitting all businesses to benefit from Bitcoin without being subjected to price fluctuations. Since Bitcoin provides many benefits and unique features and properties, many users choose to use Bitcoin. With such solutions and incentives, it is possible that Bitcoin will mature and develop to a degree where price volatility will become limited.
In fact, in April 2016 Bitcoin's volatility reached record levels, close to that of gold, and other fiat pairs.
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