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The banking system currently has $200 billion of reserves, none of which are excess. People hold only deposits and no currency, and the reserve requirement is 20 percent. If the Fed lowers the reserve requirement to 10 percent and at the same time buys $20 billion worth of bonds, then by how much does the money supply change

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Answer:

Money supply will decrease by $1.8 trillion

Explanation:

The current money multiplier = 1 / reserve ratio

= 1 / 20%

= 5

The new money multiplier would be

= 1 / 10%

= 10

If the total bank's reserves are $200 billion, then the total deposits are $1 trillion.

The new reserve ratio will decrease the money supply by $2 trillion ($200 billion in extra reserves × 10)

Also, the money injected by the federal reserves with the purchase of $20 billion worth of bonds , will increase the money supply by $20 billion × 10 = $200 billion

The net effect would be

= -$2 trillion + $200 billion

= -$1.8 trillion

The money supply will change by an increase of $980 billion, from $1,000 billion to $1,980 billion.  

This change in money supply is an increase.

Data and Calculations:

Current excess reserve = $200 billion

Reserve requirement = 20%

Money supply = $1,000 billion ($200/20%)

New reserve requirement = 10%

Sale of bonds = $20 billion

Money supply = $1,980 billion ($200/10% - $20)

Thus, the money supply increases by $980 billion.

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