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University of the People
Introduction to Economics 1580-01
Written Assignment Unit 7
Instructor: Galin Todorov
21
st
March 2024
In the above circumstance, the money multiplier formula may be used to compute the increase in
the money supply. Mankiw (2016) defines the money multiplier as the factor by which the money supply grows for every dollar increase in reserves. The money multiplier formula is as follows:
Money Multiplier = Required Reserve Ratio1.
Given that the necessary reserve ratio is 0.2, the money multiplier will be:
Money Multiplier: 10.2 = 5
Money Multiplier: 0.21 = 5
This indicates that for every dollar increase in reserves, the money supply grows by a factor of five.
Now, consider the possible growth of the money supply if the Fed acquires $2 billion in bonds.
To calculate the potential increase in money supply, multiply the money multiplier by the amount of open-market purchases.
Substitute the values:
Potential increase in money supply = 5 x $2 billion = $10 billion.
Therefore, if the Fed acquires $2 billion worth of bonds and injects that amount into the banking system, the possible increase in the money supply may be $10 billion.
References:
Mankiw, N. G. (2016). Principles of Economics
(8th ed.). Cengage Learning.
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