If supply and demand is influenced entirely by idle speculation and whim then
the market price represents anything but the real price. For the price to be real,
the market must derive the price from tangible metrics. Buyers and sellers may
not always agree on what that is exactly but everyone should have an accurate
approximation, i.e. by using the same or a similar formula based on a tangible metric.
There are many metrics to Bitcoin but the one that all others depend on is the hash
rate. The security of the blockchain scales directly with the hash rate and so should
the price. A pricing formula can be all kinds of sophisticated but it needs to be simple
enough that anyone can do it in their minds. The initial price of this formula needs to
approximate the current market price to make it easier for everyone to adopt.
According to
https://www.coinwarz.com/network-hashrate-charts/bitcoin-network-hashrate-chart,
the last recorded hash rate, as of this writing, was 97ehs (exa-hashes per second).
We can generalize it to 100ehs. The price has been moving around $10k so I'll use
these numbers to find a constant that will make it easy to derive the price from the
hash rate.
100 ehs / $10k = $0.01 <--- constant
What's the price of BTC? Simple: (current hash rate ehs / $0.01) = (97 ehs / $0.01) = $9700
Now the price will scale with the hash rate:
...
at 1ehs, 1 BTC = $100
at 10ehs, 1 BTC = $1k
at 100ehs, 1 BTC = $10k
at 1000ehs, 1 BTC = $100k
...
Buyers and sellers are still free to trade above or below the real price buy not as much as usual.
This is nothing but the old labor theory of value in which the value of an object is supposedly determined by the work needed to make that good, but the current accepted theory is the subjective theory of value which states the value of something is not determined by anything but the demand coming from individuals, and if you are questioning yourself what is the rational price of bitcoin? The answer is simple, whatever people want to pay for it.