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When a central bank increases bank reserves by $1, the money supply rises by more than $1. The amount of extra money created when the central bank increases bank reserves by $1 is called the money multiplier.
a. The money multiplier is generally greater than 1 because:
i. in a fractional-reserve banking system, each dollar bill is spent more than once (velocity is larger than 1), thereby increasing the money supply by more than $1.
ii. in a fractional-reserve banking system, each dollar of reserves can support more than one dollar of deposits, thereby increasing the money supply by more than $1.
iii. in a 100 percent reserve banking system, each dollar of reserves supports exactly one hundred dollars of deposits, thereby increasing the money supply by $100.
iv. when a central bank increases bank reserves by $1, deposits are automatically increased by $1 as well, thereby increasing the money supply by $2.
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When a central bank increases bank reserves by $1, the money supply rises by more than $1. The amoun...
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