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Econ 112 Problem Set Week 9: Bank Balances and Reserves
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Econ 112 Problem Set Week 9: Bank Balances and Reserves

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Questions and Answers

If a bank's required reserves are $740 and the reserve requirement is 10% of deposits, what is the total amount of deposits held by the bank?

  • $7,400
  • $6,600
  • $7,000 (correct)
  • $6,260
  • Given the banking system's balance sheet, if the required reserve ratio is 15%, what is the value of excess reserves?

  • $70 (correct)
  • $84
  • $196
  • $56
  • If Jane deposits $600 at Local Bank and the reserve requirement is 10%, what is the value of required reserves after her deposit?

  • $54
  • $60 (correct)
  • $66
  • $540
  • If the required reserve ratio is 12.5%, what is the value of the money multiplier?

    <p>8</p> Signup and view all the answers

    If total deposits in the banking system are $5800, total reserves are $780, and the reserve requirement is 12%, what is the value of $M_1$?

    <p>$6,400</p> Signup and view all the answers

    If the banking system holds $3,000 in securities and $M_1$ is $6,400, what is the total value of loans held by the banking system?

    <p>$3,400</p> Signup and view all the answers

    Given the information provided, if the reserve requirement is 12% and excess reserves are $70, what is the total new lending capacity of the banking system?

    <p>$580</p> Signup and view all the answers

    If the required reserve ratio is 15%, Local Bank makes a $300 loan to Harry, and the loan proceeds are deposited into Harry's account at Local Bank, what will be the value of Local Bank's required reserves after the loan?

    <p>$135</p> Signup and view all the answers

    Suppose a bank’s balance sheet looks as follows, and banks are required to hold reserves equal to 10 percent of deposits. Assets Liabilities Reserves $ 740 Deposits $7,000 Loans 6,260 (a) How much ______ reserves does the bank hold?

    <p>excess</p> Signup and view all the answers

    Suppose the banking system’s balance sheet looks like this: Assets Liabilities Reserves Deposits $840 Required $ 126 ______ 70 Loans 644 Total $840 Total $840 (a) What is the required reserve ratio?

    <p>excess</p> Signup and view all the answers

    Assume Jane deposits $600 at Local Bank, and the reserve requirement is 10%. a.Draw the balance sheet of Local Bank, assuming this is the only deposit. Include required and ______ reserves.

    <p>excess</p> Signup and view all the answers

    What is the value of the money multiplier when the required reserve ratio is (a) 12.5 percent? (b) 15 ______?

    <p>percent</p> Signup and view all the answers

    Suppose the following: Total deposits in banking system $5800 Total reserves 780 Reserve requirement 12% M1 6400 Securities 3000 (a) How much cash is in ______?

    <p>circulation</p> Signup and view all the answers

    Suppose the following: Total deposits in banking system $5800 Total reserves 780 Reserve requirement 12% M1 6400 Securities ______ (a) How much cash is in circulation?

    <p>3000</p> Signup and view all the answers

    Suppose the following: Total deposits in banking system $5800 Total reserves 780 Reserve requirement 12% M1 6400 ______ 3000 (b) How much does the banking system hold in loans?

    <p>Securities</p> Signup and view all the answers

    Suppose the following: Total deposits in banking system $5800 Total reserves 780 Reserve requirement 12% M1 6400 ______ 3000 (c) What is the total new lending capacity of the banking system?

    <p>Securities</p> Signup and view all the answers

    Study Notes

    Bank Balance Sheet

    • A bank's balance sheet consists of assets (reserves, loans) and liabilities (deposits).
    • Reserves are required to be held equal to a percentage of deposits, known as the reserve requirement.

    Reserve Requirements

    • The reserve requirement is 10% in the given examples, meaning banks must hold 10% of deposits as reserves.
    • Excess reserves are the amount of reserves held above the required amount.

    Bank Lending

    • A bank can lend an amount equal to its excess reserves.
    • The bank's ability to lend is limited by the reserve requirement.

    Banking System

    • The banking system's balance sheet combines the assets and liabilities of all banks.
    • The required reserve ratio is the percentage of deposits that banks must hold as reserves.
    • The money supply can be expanded by the amount of excess reserves in the banking system.

    Money Multiplier

    • The money multiplier is a value that determines the amount of money supply expansion possible.
    • The money multiplier is inversely related to the required reserve ratio.

    Specific Examples

    • A bank with $740 in reserves and $7,000 in deposits has excess reserves of $240 and can lend $240.
    • A banking system with $840 in reserves and $840 in deposits has a required reserve ratio of 15% and can expand the money supply by $710.
    • A bank with a single deposit of $600 and a 10% reserve requirement has required reserves of $60 and excess reserves of $40.
    • The money multiplier is 8 when the required reserve ratio is 12.5% and 6.67 when the required reserve ratio is 15%.

    Banking System Analysis

    • The total deposits in the banking system are $5,800.
    • The total reserves are $780.
    • The reserve requirement is 12%.
    • M1 is $6,400.
    • Securities are $3,000.
    • The amount of cash in circulation is $280.
    • The banking system holds $4,020 in loans.
    • The total new lending capacity of the banking system is $1,320.

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    Description

    Test your knowledge on bank balance sheets, reserves, and lending capacity with this problem set. Calculate excess reserves and how much a bank can lend based on a given balance sheet.

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