Stability is out of picture regarding Bitcoin's price, but the price for a few weeks now has been between the $9000 - $10000 per Bitcoin, that shows the market trend that there is no new big sell or buy order to trigger a big increase  or price reduction. So for now we can admit a near stability in price, but all that could change is just a matter of hours, if there ais big news or hype to trigger buying or selling.