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Actually, they're the same thing: both are computed as (number of shares outstanding) (price per share).*

No, they are not the same thing. They are calculated the same way, but Market in the phrase Market Cap means "public (share) markets".

market cap is used for companies that have IPO'd [(] and therefore have a broad market for their shares with continuous price adjustments

A pretty important distinction! If a share is "valued" at a price but there are no buyers then the valuation isn't shared by many others.

To be clear: I understand that the math is the same, but a market cap shows the consensus view of the market, while a funding valuation only shows the value a small set of investors put on a company.



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