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Suppose​ that:

r​ = required reserve ratio​ = 0.15

c ​= ​{C/D}​ = currency ratio​ = 0.45

e​ = ​{ER/D}​ = excess reserve ratio​ = 0.05

MB​ = the monetary base​ = ​$3,000 billion


Given that the formula for the money multiplier is (1 + c)/(r + e + c)​, find the value for M​, the money supply.

User Fhnuzoag
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1 Answer

3 votes

Answer:

0.223

Step-by-step explanation:

The values given are:

r​ = required reserve ratio​ = 0.15

c ​= ​{C/D}​ = currency ratio​ = 0.45

e​ = ​{ER/D}​ = excess reserve ratio​ = 0.05

MB​ = the monetary base​ = ​$3,000 billion

Therefore, money multiplier is:

(1 + c)/(r + e + c)

= (1 + 0.45)/(0.15 + 0.05 + 0.45)

= (1.45)/(0.65)

= 2.23

money multiplier=2.23

Money supply= change in reserves× money multiplier

change in reserve=0.15-0.05

=0.1

money multiplier=2.23

Money supply= 0.1 ×2.23

= 0.223

Thus, the money supply is 0.223.

User HDP
by
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