I don't follow why the money stock needs to equal total estimated wealth. Suppose I own a house with an estimated price 1 BTC, a car with estimated price 0.1 BTC, and some other stuff with estimated prices totaling 0.1 BTC. Further suppose there are ten of us and the average price estimates are the same as what I have. Our houses, cars, and other stuff total an estimated wealth of 12 BTC. It does not necessarily follow that we also need 12 BTC to support this situation. I suppose 1 BTC would be a floor, otherwise we could not expect the house to exchange at 1 BTC. But we might also be able to get along with 2 or 3 total BTC among the ten of us instead of 12 BTC. We don't need to be able to liquidate everything all at once. The money is an independent good itself with its own supply and demand.
I recall doing a similar calculation where I estimated the total money in the world (not total wealth) and figured BTC would need to be like $100 USD to support all the exchange in the world. Maybe I was off by an order of magnitude, though.
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if money supply is static
all prices must adjust to match the relative proportion of value of trade and scale of preferences of all individuals, this is called price discovery
thus, the value of all assets in the world are the amount of monetary units in the world
money is half of the equation of all market exchanges, so it is equal to the notional value of all the assets, commodity or equity
you can bypass money via barter but in general the equivalence is computed between counterparties in a barter based on the estimate of the monetary value and thus relative prices between them
that's why we invented money, to act as a silent, "outside" witness to all trades to enable us to save profits and to use those savings to make opportunities to create more value
fiat currency debasement makes it so only those with the money printer have this ability and these are some few thousands of people in the world and they basically are the real ruling class of our modern world