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1- Suppose that the required reserve ratio is 10%, currency in circulation is $400 billion, the amount of checkable deposits is $700 billion, and excess reserves are $50 billion

Economics Sep 05, 2020

1- Suppose that the required reserve ratio is 10%, currency in circulation is $400 billion, the amount of checkable deposits is $700 billion, and excess reserves are $50 billion. a) Calculate the money supply, the currency deposit ratio, the excess reserve ratio, and the money multiplier. (10 pts) b) Suppose the central bank conducts an unusually large open market purchase of bonds held by banks of $ 800 billion due to a sharp contraction in the economy. Assuming the ratios you calculated in part (a) remain the same, predict the effect on the money supply. (10 pts)

Expert Solution

a) Currency to Deposit Ratio = Currency/ Deposits

Currency to Deposit Ratio =400/700

Currency to Deposit Ratio =0.5714

Excess reserve Ratio = Excess reserve / Deposit

Excess reserve Ratio= 50/700

Excess reserve Ratio= 0.0714

Reserves = Required Reserve + Excess Reserve

Reserves= r* D +ER

Reserves= (10%*700) +50

Reserves= 70+50

Reserves= 120

Monetary Base = Currency + Bank Reserves

Monetary Base = 400+ 120

Monetary Base = 400+120

Monetary Base = 520

Money Multiplier =( C/D+1)/(C/D +r+ER/D)

Money Multiplier= 1+ 0.5714/(0.5714+0.1+0.0714)

Money Multiplier= 1.5714/0.7428

Money Multiplier= 2.1155

Money Supply=Monetary Base * Money Multiplier

Money Supply= 520*2.1155

Money Supply = 1100.06

b) When Central Bank does open market purchase securities are transferred from banks to central bank in return Central bank injects, thereby increasing monetary base through increase in reserves.  

New Monetary Base = 520 + 800

New Monetary Base = 1320

New Money Supply=Monetary Base * Money Multiplier

New Money Supply= 1320 * 2.1155

New Money Supply= 2792.46

Hence, money supply will increase.

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