In Westlandia, the public holds 50% of M1 in the form of currency, and the required reserve ratio is 20%. Estimate how much the money supply will increase in response to a new cash deposit of $500 by completing the accompanying table. (Hint: The first row shows that the bank must hold $100in minimum reserves – 20% f the $500 deposit – against this deposit, leaving $400 in excess reserves that can be loaned out. However, since the public wants to hold 50% of the loan in currency, only $400 x 0.5 = $200 of the loan will be deposited in round 2 from the loan granted in round 1). How does your answer compare to an economy in which the total amount of the loan is deposited in the banking system and the public doesn’t hold any of the loan in currency? What does this imply about the relationship between the public´s deisre for holding currency and the money multiplier?

ECON MICRO
5th Edition
ISBN:9781337000536
Author:William A. McEachern
Publisher:William A. McEachern
Chapter13: Capital, Interest, Entrepreneurship, And Corporate Finance
Section: Chapter Questions
Problem 4.8P
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In Westlandia, the public holds 50% of M1 in the form of currency, and the required reserve ratio is 20%. Estimate how much the money supply will increase in response to a new cash deposit of $500 by completing the accompanying table. (Hint: The first row shows that the bank must hold $100in minimum reserves – 20% f the $500 deposit – against this deposit, leaving $400 in excess reserves that can be loaned out. However, since the public wants to hold 50% of the loan in currency, only $400 x 0.5 = $200 of the loan will be deposited in round 2 from the loan granted in round 1). How does your answer compare to an economy in which the total amount of the loan is deposited in the banking system and the public doesn’t hold any of the loan in currency? What does this imply about the relationship between the public´s deisre for holding currency and the money multiplier?

Thank you very much for your help.

Required Excess
Round Deposits reserves reserves Loans
$500.00 $100.00 $400.00 $400.00 $200.00
Held as
currency
2
200.00
3
7
10
Total
after 10
rounds
Transcribed Image Text:Required Excess Round Deposits reserves reserves Loans $500.00 $100.00 $400.00 $400.00 $200.00 Held as currency 2 200.00 3 7 10 Total after 10 rounds
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