The money multiplier is 20 and the change in the money supply is $200 billion.
The money multiplier is the inverse of the reserve ratio. Reserve ratio is the percentage of deposits that is required of commercial banks to keep as reserves. The lower the ratio, the higher the increase in money supply.
Money multiplier = 1 / reserve ratio
1/5%
1 / 0.05 = 20
The change in money supply is the product of the money multiplier and the change in reserve.
Change in money supply = money multiplier x change in reserves
20 x $10 billion = 200 billion
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