The banking system help influence money supply by using customer's deposit to generate more money in the system.
The Fractional reserve banking is a system where the banks hold some fraction of the customers' deposit as reserves and the rest are used to generate returns in the form of interest rates on loans.
The United States banking system practices the fractional reserve banking because its allows the commercial banks to get interest on customer's deposits with them
Therefore, in conclusion, the fractional-reserve banking influence the money supply in the United States because the process helps creates more money and thus increases the economy money supply.
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