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In Westlandia, the public holds 50% of M1 in the form of currency, and the requi

ID: 1253232 • Letter: I

Question

In Westlandia, the public holds 50% of M1 in the form of currency, and the required reserve ratio is 20%.

1. 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 $100 in minimum reserves—20% of 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 × 0.5 = $200 of the loan will be deposited in round 2 from the loan granted in round 1.)

Round

Deposits

Required reserves

Excess reserves

Loans

Loan proceeds held as currency

Loan proceeds deposited

1

$500.00

$100.00

$400.00

$400.00

$200.00

$200.00

2

$200.00

 

 

 

 

 

3

 

 

 

 

 

 

4

 

 

 

 

 

 

5

 

 

 

 

 

 

6

 

 

 

 

 

 

7

 

 

 

 

 

 

8

 

 

 

 

 

 

9

 

 

 

 

 

 

10

 

 

 

 

 

 

 

 

 

 

 

 

 

totals

 

 

 

 

 

 

Round

Deposits

Required reserves

Excess reserves

Loans

Loan proceeds held as currency

Loan proceeds deposited

1

$500.00

$100.00

$400.00

$400.00

$200.00

$200.00

2

$200.00

 

 

 

 

 

3

 

 

 

 

 

 

4

 

 

 

 

 

 

5

 

 

 

 

 

 

6

 

 

 

 

 

 

7

 

 

 

 

 

 

8

 

 

 

 

 

 

9

 

 

 

 

 

 

10

 

 

 

 

 

 

 

 

 

 

 

 

 

totals

 

 

 

 

 

 

Explanation / Answer

2 200 40 160 160 80 80 3 80 16 64 64 32 32 4 32 Take deposit amount subtract 20% required reserve (multiply 0.2 by deposit to determine the reserve). This gives you the excess reserve and loan amount. Then multiply by 50% (0.5) to find amount held as currency (M1).

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