Bitcoin is valuable because of certain features.
For example, Bitcoin is censorship-resistant. You can spend your Bitcoin anywhere in the world and with anybody without fear that your transaction will be rejected, reversed, cancelled by an authority because of your political affiliations, nationality, race, and so on.
Another reason is that Bitcoin is immutable. That Bitcoin has value is because of people's trust, and one reason why people trust Bitcoin is that nobody can alter or change its recorded transactions.
Another reason is that Bitcoin is borderless. No conversions needed wherever you are in the world. This offers seamless transactions because jurisdiction isn't a factor.
In the nutshell, we could say that the reason why bitcoin is so valuable is because of people's interest in it, great technologies can be built but without people being interested in such a tech, the value will remain on the group for as long as it takes, humans are the ones who give value to things or give give things the value they think its worth.
Looking at the advantages of bitcoin, that is, its importance to humanity, some of us still consider bitcoin highly undervalued even as its worth tens of thousands of dollars, I personally think that based on the importance of bitcoin to humanity and our financial sector, Bitcoin should have a market capitalization equal or bigger than the foreign exchange market, but then, I understand that Rome was not built in a day, Bitcoin will arrive their some day, as i believe that even the foreign exchange market did not become that big in a couple of years, Bitcoin is still just a couple of years old .
Today BTC is becoming more stable then dollar
Well, I do not know, but I think I disagree, Bitcoin is still as volatile as I think it can be, but then, if its stable, its better it be stable than nose diving, or what do you think?