What is the required reserve ratio

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Reference no: EM13212106

1. Suppose a bank's balance sheet looks as follows:    

Assets

Liabilities

Reserves

$   640  

Deposits

$6,000   

Loans

5,360    

 

 

And banks are required to hold reserves equal to 10 percent of deposits.   

(a) How much excess reserves does the bank hold?

(b) How much more can this bank lend?

Ans:

(a)   $__40________

 (b) $__40________

6000/10=600

2. Suppose a bank's balance sheet looks like this: 

Assets

Liabilities

Reserves     

 

Deposits  

$600    

        Excess  

$  70    

 

 

        Required  

30   

 

 

Loans  

500     

 

 

Total  

$600  

Total  

$600 

      (a) What is the required reserve ratio?

      (b) How much money can this bank still lend?

Ans:

(a)­­___5_____%

(b)   $___70_____

30/600=0.05

2. Suppose that a lottery winner deposits $12 million in cash into her transactions account at the Bank of America (B of A). Assume a reserve requirement of 20 percent, no loans, and no excess reserves in the banking system prior to this deposit.   

(a) Use step 1 in the following T-accounts to show how her deposit affects the balance sheet at B of A.   

(b) Has the money supply been changed by her deposit?

(c) Use step 2 here to show the changes at B of A after the bank fully uses its new lending capacity.   

(d) Has the money supply been changed in step 2?     

(e) In step 3 the new borrower(s) writes a check for the amount of the loan in step 2. That check is deposited at another bank, and B of A pays the other bank when the check clears. What does the B of A balance sheet look like now?   

(f) After the entire banking system uses the lending capacity of the initial ($12 million) deposit, by how much will the following have changed?     

            Total reserves       

            Total deposits        

            Total loans       

            Cash held by public       

            The money supply

Ans:

(a) Step 1:­­­­­­­­­­­­­­­­­­­­­­­­___12,000,000_____________.

       Bank of America

Assets

(in Millions)

Liabilities

(in Millions)

Reserves required

­$_2.4__ million

Demand deposits

$_12___ million

     Excess

$__9.6__million

 

 

     Subtotal

$__12__ million

 

 

Loans

$___Million

 

 

     Total assets

$_12__ million

Total liabilities

$_12___million

12000000x20=240000000

12000000-2400000=9600000

2.4+9.6=12

(b) _No___

(c) Step 2: ________

Bank of America

Assets

(in Millions)

Liabilities

(in Millions)

Reserves required

$__12___ million

Demand deposits

$_12____million

     Excess

$_____ million

 

 

     Subtotal

$_____million

 

 

Loans

$_____ million

 

 

     Total assets

$_____million

Total liabilities

$_____million

(c)     __yes___

(e) Step 3: _______

       Bank of America

Assets

(in Millions)

Liabilities

(in Millions)

Reserves required

$____million

    Demand deposits

$____ million

     Excess

$____million

 

 

     Subtotal

$____million

 

 

Loans

$____million

 

 

     Total assets

$____million

    Total liabilities

$____ million

(f)Total reserves: $__12,000,000___ million

 

Total deposits: $_____million.

 

Total loans:      $__48,000,000___ million.

 

Cash held by public: $_____ million.

 

The money supply: $______ million.

 

 

3. Assume that the following data describe the condition of the banking system:   

      Total reserves                    $200 billion   

      Transactions deposits        $800 billion   

      Cash held by public          $400 billion   

      Reserve requirement         0.20   

      (a) How large is the money supply (M1)?

      (b) How large are required reserves?

      (c) How large are excess reserves?

      (d) By how much could the banks increase their lending activity?

      Answers:

(a)   $_1200_______billion. 

           

(b)   $__160______billion.

           

(d)    $__40____billion.     

 

(d) $___5_____billion.      

4. Assume the banking system contains the following amounts:   

      Total reserves   $80 billion   

      Transactions deposits   $800 billion   

      Cash held by public   $100 billion   

      Reserve requirement    0.10   

      (a) Are the banks fully utilizing their lending capacity?      

      (b) What would happen to the money supply initially if the public deposited another $30 billion of cash in transactions accounts?      

      (c) What would the lending capacity of the banking system be after such a portfolio switch?     

       (d) How large would the money supply be if the banks fully utilized their lending capacity?    

        (e) What three steps could the Fed take to offset that potential growth in M1? 

      Answers:

(a)   ­­­­­­­­­­­­­­­___Yes_______

(b)    I think the 30 dollar deposit will be a part of the cash held._________

(c)    $______billion.

(d)   $__900____billion.

(e)(i) _The fed could sell bonds________________________________

(ii) __The fed could increase their reserve requirement______________________________

(iii) _They could increase their discount rates_______________________________

5. Suppose a banking system with the following balance sheet has no excess reserves. Assume that banks will make loans in the full amount of any excess reserves that they acquire and will immediately be able to eliminate loans from their portfolio to cover inadequate reserves.

Assets

(in Billions)

Liabilities

(in Billions)

Total reserves  

     $  30  

Transactions accounts  

$400   

Securities  

$190   

 

 

Loans  

$180     

 

 

     Total  

$400    

 Total  

$400 

(a) What is the reserve requirement?

(b) Suppose the reserve requirement is changed to 5 percent. Reconstruct the balance sheet of the total banking system after all banks have fully utilized their lending capacity.

(c) By how much has the money supply changed as a result of the lower reserve requirement (step b)?   

(d) Suppose the Fed now buys $10 billion of securities directly from the banks. What will the banks' books look like after this purchase?

(e) How much excess reserves do the banks have now?      

(f) By how much can the money supply now increase?

Answers:

Assets

(in Billions)

Liabilities

(in Billions)

Total reserves  

   $_6__    

Transactions accounts  

$___

Securities  

$___   

 

 

Loans  

$___     

 

 

     Total  

$___    

Total  

$___

       (c) $____ billion.

       (d)

Assets

(in Billions)

Liabilities

(in Billions)

Total reserves  

   $  ___  

Transactions accounts  

$____

Securities  

$___   

 

 

Loans  

$___     

 

 

     Total  

$___    

Total  

$____

(e)    $____ billion.

(f) $____ billion.  

Reference no: EM13212106

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