# Solution. Solution. Money, Banking, and the Federal Reserve System. macroeconomics. economics

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2 _KrugmanMacro_SM_Ch13.qxp 11/1/05 8:22 PM Page MACROECONOMICS, CHAPTER 13 ECONOMICS, CHAPTER 30 c. The Rye Mark is commodity-backed money since its ultimate value is guaranteed by a promise that it can be converted into valuable goods (grain rye). d. Ithaca HOURS are fiat money because their value derives entirely from their status as a means of payment in Ithaca. 3. The table below shows the components of M1 and M2 in billions of dollars for the month of December in the years 1995 to 2004 as published in the 2005 Economic Report of the President. Complete the table by calculating M1, M2, currency in circulation as a percentage of M1, and currency in circulation as a percentage of M2. What trends or patterns about M1, M2, currency in circulation as a percentage of M1, and currency in circulation as a percentage of M2 do you see? What might account for these trends? Currency Currency Time in in deposits circulation circulation Currency Money smaller as a as a in Traveler s Checkable market than Savings percentage percentage Year circulation checks deposits funds \$100,000 deposits M1 M2 of M1 of M \$372.1 \$9.1 \$745.9 \$448.8 \$931.4 \$1,134.0???? ,273.1???? ,399.1???? ,603.6???? ,738.2???? , ,876.2???? ,308.9???? ,769.5???? ,158.5???? ,505.9???? 3. Here is the completed table: Currency Currency Time in in deposits circulation circulation Currency Checkable Money smaller as a as a in Traveler s bank market than Savings percentage percentage Year circulation checks deposits funds \$100,000 deposits M1 M2 of M1 of M \$372.1 \$9.1 \$745.9 \$448.8 \$931.4 \$1,134.0 \$1,127.1 \$3, % 10.2% , , , % 10.3% , , , % 10.5% , , , % 10.5% , , , % 11.1% , , , , % 10.8% , , , % 10.7% , , , % 10.8% , , , % 11.0% , , , % 10.9%

4 KrugmanMacro_SM_Ch13.qxp 10/27/05 3:20 PM Page MACROECONOMICS, CHAPTER 13 ECONOMICS, CHAPTER a. Initially, the bank s reserves rise by \$500, as do its checkable deposits. There is no initial change in the money supply; currency in circulation has fallen by \$500 but checkable deposits have increased by \$500. Reserves +\$500 Checkable Deposits +\$500 b. The bank will hold \$50 as reserves against the new deposit and make additional loans equal to \$450. c. The money supply can expand by \$4,500. Checkable deposits rise by \$5,000 the initial \$500 deposit of cash plus \$4,500 in loans and deposits. Only \$4,500 (\$500/0.1 \$500) represents additions to the money supply. (Remember that \$500 of the increase in deposits came at the expense of a reduction in currency in circulation when Tracy deposited \$500 in her bank account.) d. The money supply can expand by \$9,500. Checkable deposits rise by \$10,000 but because the first \$500 was a deposit of cash, only \$9,500 (\$500/0.05 \$500) represents additions to the money supply. 6. Ryan Cozzens withdraws \$400 from his checking account at the local bank and keeps it in his wallet. a. How will the withdrawal change the T-account of the local bank and the money supply? b. If the bank maintains a reserve ratio of 10%, how will the bank respond to the withdrawal? c. If every time the bank decreases its loans, checkable bank deposits fall by the amount of the loan, by how much could the money supply in the economy contract in total? d. If every time the bank decreases its loans, checkable bank deposits fall by the amount of the loan and the bank maintains a reserve ratio of 20%, by how much will the money supply contract in response to a withdrawal of \$400? 6. a. Initially, the bank s reserves fall by \$400, as do its checkable deposits. There is no initial change in the money supply; currency in circulation has risen by \$400 but checkable deposits have decreased by \$400. Reserves \$400 Checkable Deposits \$400 b. Assuming that the bank has other checkable deposits, the bank will be holding insufficient reserves. The bank was holding \$40 of the \$400 withdrawal as required reserves for the \$400 deposit; however, the remaining \$360 was being held as required reserves for other deposits. The bank will have to reduce its deposits by \$3,600 ( \$400/0.1 + \$400) to reduce its required reserves by \$360 (10% of \$3,600). It will have to reduce deposits by calling in some of its loans. c. The money supply will contract by \$3,600 ( \$400/0.1 + \$400). Checkable deposits fall by \$4,000, but only \$3,600 represents a decrease in the money supply. d. The money supply can decrease by \$1,600 ( \$400/0.2 + \$400). Checkable deposits fall by \$2,000, but only \$1,600 represents a decrease in the money supply.

5 KrugmanMacro_SM_Ch13.qxp 10/27/05 3:20 PM Page 159 MONEY, BANKING, AND THE FEDERAL RESERVE SYSTEM The government of Eastlandia uses measures of monetary aggregates similar to those used by the United States, and the central bank of Eastlandia imposes a required reserve ratio of 10%. Given the following information, answer the questions below. Bank deposits at the central bank = \$200 million Currency held by public = \$150 million Currency in bank vaults = \$100 million Checkable bank deposits = \$500 million Traveler s checks = \$10 million a. What is M1? b. What is the monetary base? c. Are the commercial banks holding excess reserves? d. Can the commercial banks increase checkable bank deposits? If yes, by how much can checkable bank deposits increase? 7. a. M1 equals the sum of currency held by the public (\$150 million), checkable deposits (\$500 million), and traveler s checks (\$10 million) or \$660. b. The monetary base is the sum of currency held by the public (\$150 million) and the reserves of the commercial banks (currency in bank vaults (\$100 million) and bank deposits (\$200 million) at the central bank). The monetary base is \$450 million. c. Required reserves are \$50 million (10% of \$500 million). Because total reserves are \$300 million, the commercial banks are holding \$250 million (\$300 million \$50 million) in excess reserves. d. Since the commercial banks are holding excess reserves, they can increase deposits. With a required reserve ratio of 10%, reserves of \$300 million can support a total of \$3,000 million (\$300/0.1) in deposits. Commercial banks can increase deposits by an additional \$2,500 million. 8. 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 table below. (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 \$ = \$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 desire for currency and the money multiplier? Required Excess Held as Round Deposits reserves reserves Loans currency 1 \$ \$ \$ \$ \$ ???? 3????? 4????? 5????? 6????? 7????? 8????? 9????? 10????? Total after 10 rounds?????

6 KrugmanMacro_SM_Ch13.qxp 10/27/05 3:20 PM Page MACROECONOMICS, CHAPTER 13 ECONOMICS, CHAPTER Here is the completed table: Required Excess Held as Round Deposits reserves reserves Loans currency 1 \$ \$ \$ \$ \$ Total after 10 rounds \$ \$ \$ \$ \$ After 10 rounds, loans can expand by \$666.60; this is also the increase in the money supply at this point. (Although deposits increase by \$833.25, currency held by the public falls by \$ it initially fell by \$500 and eventually rose again by \$ ) If the total amount of each loan is deposited in the banking system (that is, the public does not hold any of the loans in currency), the money supply would increase by \$2,000 (500/0.2 \$500); deposits would increase by \$2,500. The money multiplier decreases in size as the public holds a greater percentage of loans in currency. 9. What will happen to the money supply under the following circumstances? a. The required reserve ratio is 25%, and a depositor withdraws \$700 from his checkable bank deposit. b. The required reserve ratio is 5%, and a depositor withdraws \$700 from his checkable bank deposit. c. The required reserve ratio is 20%, and a customer deposits \$750 to her checkable bank deposit. d. The required reserve ratio is 10%, and a customer deposits \$600 to her checkable bank deposit. 9. a. Deposits contract by \$2,800 but \$700 is converted into currency held by the public. The money supply contracts by \$2,100. b. Deposits contract by \$14,000 but \$700 is converted into currency held by the public. The money supply contracts by \$13,300. c. Deposits expand by \$3,750 but currency in circulation falls by \$750. The money supply expands by \$3,000. d. Deposits expand by \$6,000 but currency in circulation falls by \$600. The money supply expands by \$5,400.

7 KrugmanMacro_SM_Ch13.qxp 11/15/05 3:25 PM Page 161 MONEY, BANKING, AND THE FEDERAL RESERVE SYSTEM Although the U.S. Federal Reserve doesn t use changes in reserve requirements to manage the money supply, the central bank of Albernia does. The commercial banks of Albernia have \$100 million in reserves and \$1,000 million in checkable deposits; the initial required reserve ratio is 10%. The commercial banks follow a policy of holding no excess reserves. The public holds a fixed amount of currency, so all loans create an equal amount of deposits in the banking system. a. How will the money supply change if the required reserve ratio falls to 5%? b. How will the money supply change if the minimum reserve ratio rises to 25%? 10. a. If the required reserve ratio falls to 5%, the commercial banks of Albernia will be holding \$50 million in excess reserves. Since the banks follow a policy of holding no excess reserves, the banks will expand deposits by making loans. The banks reserves of \$100 million will support \$2,000 million in deposits at a reserve ratio of 5%. The bank will expand loans and deposits by \$1,000 million; so the money supply expands by \$1,000 million. b. If the required reserve ratio rises to 25%, the commercial banks of Albernia will not be holding enough reserves to support \$1,000 million in deposits. The banks reserves will only support \$400 million in deposits. The commercial banks will have to decrease loans and deposits by \$600 million; so the money supply will contract by \$600 million. 11. Using Figure 13-5, find the Federal Reserve district in which you live. Go to and identify the president of that Federal Reserve Bank. Go to determine if the president of the Fed is currently a voting member of the Federal Open Market Committee (FOMC). 11. Answers will vary depending on where you live and when you look up your answer. If you live in Reedley, California, in July 2005, you were in the San Francisco district of the Federal Reserve system. Janet Yellen was the president of the Federal Reserve Bank of San Francisco and an alternate (nonvoting) member of the FOMC at that time. 12. Show the changes to the T-accounts for the Federal Reserve and for commercial banks when the Federal Reserve buys \$50 million in U.S. Treasury bills. If the public holds a fixed amount of currency (so that all loans create an equal amount of deposits in the banking system), the minimum reserve ratio is 10%, and banks hold no excess reserves, by how much will deposits in the commercial banks change? By how much will the money supply change? Show the final changes to the T-account for commercial banks when the money supply changes by this amount. 12. When the Federal Reserve buys \$50 million in Treasury bills from commercial banks, its assets increase by \$50 million (it now owns \$50 million in Treasury bills) but its liabilities also increase by \$50 million as it credits the banks account at the Federal Reserve, part of the monetary base. From the perspective of commercial banks, their assets fall by \$50 million because they sell Treasury bills to the Fed but their assets also rise by \$50 million when their deposits at the Fed (reserves) are credited with \$50 million.

8 KrugmanMacro_SM_Ch13.qxp 10/27/05 3:20 PM Page MACROECONOMICS, CHAPTER 13 ECONOMICS, CHAPTER 30 Initial changes to the T-account of the Federal Reserve immediately after Fed purchase of \$50 million in Treasury bills: Treasury bills +\$50 million Monetary base +\$50 million Initial changes to the T-account of commercial banks immediately after Fed purchase of \$50 million in Treasury bills: Treasury bills \$50 million Reserves +\$50 million After the Federal Reserve buys \$50 million from commercial banks, the banks are holding \$50 million in excess reserves. Since the banks do not want to hold any excess reserves, they will increase loans and deposits by \$500 million, the maximum amount that \$50 million in reserves can support. Therefore, the money supply will also increase by \$500 million. All changes to the T-account of commercial banks after the Fed purchase of \$50 million in Treasury bills: Treasury bills \$50 million Checkable deposits +\$500 million Reserves +\$50 million Loans +\$500 million 13. Show the changes to the T-accounts for the Federal Reserve and for commercial banks when the Federal Reserve sells \$30 million in U.S. Treasury bills. If the public holds a fixed amount of currency (so that all new loans create an equal amount of checkable bank deposits in the banking system) and the minimum reserve ratio is 5%, by how much will checkable bank deposits in the commercial banks change? By how much will the money supply change? Show the final changes to the T-account for the commercial banks when the money supply changes by this amount. 13. When the Federal Reserve sells \$30 million in Treasury bills to commercial banks, its assets decrease by \$30 million (it now owns \$30 million less in Treasury bills) but its liabilities also decrease by \$30 million as the banks pay the Federal Reserve for the Treasury bills from their accounts at the Fed (part of the monetary base). From the perspective of commercial banks, their assets rise by \$30 million because they buy the Treasury bills from the Fed but their assets also fall by \$30 million when they pay for the Treasury bills from their deposits at the Fed (their reserves). Initial changes to the T-account of the Federal Reserve immediately after Fed sale of \$30 million in Treasury bills: Treasury bills \$30 million Monetary base \$30 million Initial changes to the T-account of commercial banks immediately after Fed sale of \$30 million in Treasury bills: Treasury bills +\$30 million Reserves \$30 million

9 KrugmanMacro_SM_Ch13.qxp 10/27/05 3:20 PM Page 163 MONEY, BANKING, AND THE FEDERAL RESERVE SYSTEM 163 After the Federal Reserve sells \$30 million in Treasury bills, the banks are no longer holding enough reserves to support their deposits. The banks will need to reduce loans and deposits by \$600 million the amount of deposits that were supported by the \$30 million in reserves used to buy the Treasury bills. So the money supply will also decrease by \$600 million. All changes to the T-account of commercial banks after Fed sale of \$30 million in Treasury bills: Treasury bills +\$30 million Checkable deposits \$600 million Reserves \$30 million Loans \$600 million

10 KrugmanMacro_SM_Ch13.qxp 10/27/05 3:20 PM Page 164

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