Companies do it all the time by buying back their stocks, or purchasing large volumes of stocks as they come available. Generally, it pushes up the value of the remaining stocks in the market.
It's possible. Money is theoretical for the most part anyway. The Fed can move more of the reserve into bonds vs. cash, and that reduces the money supply. Or they can monkey with the rates. I'm not an expert by any means, and I think mostly they are just making crap up as they go, but you can lower the monetary supply without actually setting fire to stacks of dollar bills.
But that is based on fixed quantities. Dollars are fractional whereby others in turn are fractional. It's a giant pyramid scheme.
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