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Thus, if there are one trillion dollars in the world, and we accept the (dubious) assumption that if you own all the dollars you own the Federal Reserve, each dollar is a right to one trillionth of the Federal Reserve. Perhaps this is obvious, but it implies some corollaries.
One, creating new dollars does not affect the value of the Federal Reserve, however we choose to measure that value. Nor does it affect the value of Elbonia, Yukos, or any other right. It is common or garden-variety stock dilution. Dilution is often more convenient than transferring shares from old owners to new owners, but the principle is the same. If there exist one trillion dollars and we print ten billion new ones and give them to X, the effect is just as if we replaced each dollars held by anyone but X with 99 cents, added up the spare cents and gave them to X.
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https://www.whitehouse.gov/briefing-room/blog/2021/04/12/pandemic-prices-assessing-inflation-in-the-months-and-years-ahead/