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> A bank could easily create fake money into its own accounts, but it would have trouble transferring that money over to other banks.

In fact, isn't that indistinguishable (mathematically) from paying interest? The bank's internal accounts all go from X to Y. In theory, the bank should made more money that that in total, so at any given point the sum of all accounts is less than the banks money and accounts recieveable (usually via loans). And the bank can provide that money to other people if needed. But if a bank paid 1000% APR on savings accounts, all that would happen is the bank goes belly up and a lot of those accounts won't be worth the numbers they claim to have.




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