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That's quite a very notable correction mate, I mean it's very easy for someone to get the both concepts mixed up or use 'em both interchangeably without even realizing they are in fact making a mistake, since the both concepts ( price and value of Bitcoin) are quite related but in fact also quite distinct terminologies.
For purpose of clarity, when talk about the price of bitcoin, we are referring to what bitcoin currently costs or the price at which people are currently buying , which isn't really stable due to some reasons.
While the value of bitcoin refers to both the inherent value of the asset as well as its usefulness, which includes its roles as a means of exchange, security, governance, and store of value.
To be further precise, the price of bitcoin refers to what it currently costs to purchase it, whereas the value of bitcoin depends on the rationale behind the purchase.
It's critical to comprehend this distinction in order to have a more better and transparent perspective on Bitcoin's long-term significance as well as its potential.
The price is what it is, and yeah it moves around a lot.
The value is likely different for different people and also some people try to determine if the value is adequately contained in the current price, so some folks might be willing to buy or sell bitcoin based on their value assessments and their assertion whether the price might be too high or too low based on their assessment of what the value is.. or what the price should be.
Yes, that's another difference between the price and value of Bitcoin.
While Bitcoin price is the same for everyone, the value of bitcoin is subjective and can vary from person to person, and the value depends on the perspective of the person.
Different people has different perspectives of Bitcoin, for some people, it's merely a store of value, some view it as a speculative asset and to others it's a means of exchange and these different perspectives and viewpoint of Bitcoin each also has different value propositions too.
Again, how a short-term trader values bitcoin is absolutely different from how a long-term HODLer perceives and value it.
Just as you stated, some investors try to place Bitcoin's value where the price is, if they believe that the price is too low compared to what they perceive the value of Bitcoin to be, they'll be prompted to buy and vise versa, if they believe the price is way higher tham their perceived value, they'll be encouraged to sell.
And the most exciting thing about the bitcoin market is that, the bitcoin market dynamics are mostly driven by these steady and different assessment of value versus price, and also one of the major factors that influences supply and demand which of course we know is the major factor that influences Bitcoin's price.
Every investor has their own personal and individual value judgement and just like Bitcoin price, investors' can also adjust their position and value assessments on Bitcoin.