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The Economics of Money, Banking, and
Financial Markets
Twelfth Edition, Global Edition
Chapter 15
The Money Supply Process
Copyright ยฉ 2019 Pearson Education, Ltd.
Copyright ยฉ 2019 Pearson Education, Ltd.
Preview
โ€ข This chapter provides an overview of how commercial
banks create deposits and describes the basic principles of
the money supply creation process
Copyright ยฉ 2019 Pearson Education, Ltd.
Learning Objectives (1 of 2)
โ€ข List and describe the โ€œthree playersโ€ that influence the
money supply.
โ€ข Classify the factors affecting the Federal Reserveโ€™s assets
and liabilities.
โ€ข Identify the factors that affect the monetary base and
discuss their effects on the Federal Reserveโ€™s balance
sheet.
โ€ข Explain and illustrate the deposit creation process using T-
accounts.
Copyright ยฉ 2019 Pearson Education, Ltd.
Learning Objectives (2 of 2)
โ€ข List the factors that affect the money supply.
โ€ข Summarize how the โ€œthree playersโ€ can influence the
money supply.
โ€ข Calculate and interpret changes in the money multiplier.
Copyright ยฉ 2019 Pearson Education, Ltd.
Three Players in the Money Supply Process
1. The Central bank: Federal Reserve System
2. Banks: depository institutions; financial intermediaries
3. Depositors: individuals and institutions
Copyright ยฉ 2019 Pearson Education, Ltd.
The Fedโ€™s Balance Sheet
โ€ข Liabilities
โ€“ Currency in circulation: in the hands of the public
โ€“ Reserves: bank deposits at the Fed and vault cash
โ€ข Assets
โ€“ Government securities: holdings by the Fed that affect
money supply and earn interest
โ€“ Discount loans: provide reserves to banks and earn the
discount rate
Federal Reserve System
Assets Liabilities
Securities Currency in circulation
Loans to Financial
Institutions
Reserves
Copyright ยฉ 2019 Pearson Education, Ltd.
Control of the Monetary Base
High-powered money
= +
= currency in circulation
= total reserves in the banking system
MB C R
C
R
Copyright ยฉ 2019 Pearson Education, Ltd.
Open Market Purchase from a Bank
โ€ข Net result is that reserves have increased by $100
โ€ข No change in currency
โ€ข Monetary base has risen by $100
Banking System Federal Reserve System
Assets Liabilities Assets Liabilities
Securities -$100m Securities +$100m Reserves +$100m
Reserves +$100m
Copyright ยฉ 2019 Pearson Education, Ltd.
Open Market Purchase from the Nonbank
Public (1 of 2)
โ€ข Person selling bonds to the Fed deposits the Fedโ€™s check
in the bank
โ€ข Identical result as the purchase from a bank
Banking System Federal Reserve System
Assets Liabilities Assets Liabilities
Reserve
s
+$100m Checkable
deposits
+$100m Securities +$100m Reserves +$100m
Copyright ยฉ 2019 Pearson Education, Ltd.
Open Market Purchase from the Nonbank
Public (2 of 2)
โ€ข The person selling the bonds cashes the Fedโ€™s check
โ€ข Reserves are unchanged
โ€ข Currency in circulation increases by the amount of the
open market purchase
โ€ข Monetary base increases by the amount of the open
market purchase
Nonbank Public Federal Reserve System
Assets Liabilities Assets Liabilities
Securities -$100m Securities +$100m Currency in
circulation
+$100m
Currency +$100m
Copyright ยฉ 2019 Pearson Education, Ltd.
Open Market Purchase: Summary
โ€ข The effect of an open market purchase on reserves
depends on whether the seller of the bonds keeps the
proceeds from the sale in currency or in deposits.
โ€ข The effect of an open market purchase on the monetary
base always increases the monetary base by the amount
of the purchase.
Copyright ยฉ 2019 Pearson Education, Ltd.
Open Market Sale
โ€ข Reduces the monetary base by the amount of the sale
โ€ข Reserves remain unchanged
โ€ข The effect of open market operations on the monetary
base is much more certain than the effect on reserves.
Nonbank Public Federal Reserve System
Assets Liabilities Assets Liabilities
Securities +$100m Securities -$100m Currency in
circulation
-$100m
Currency -$100m
Copyright ยฉ 2019 Pearson Education, Ltd.
Shifts from Deposits into Currency
โ€ข Net effect on monetary liabilities is zero
โ€ข Reserves are changed by random fluctuations
โ€ข Monetary base is a relatively stable variable
Nonbank Public Banking System
Assets Liabilities Assets Liabilities
Checkable
deposits
-$100m Reserves -$100m Checkable
deposits
-$100m
Currency +$100m
Federal Reserve System
Assets Liabilities
Currency in
circulation
+$100m
Reserves -$100m
Copyright ยฉ 2019 Pearson Education, Ltd.
Loans to Financial Institutions
โ€ข Monetary liabilities of the Fed have increased by $100
โ€ข Monetary base also increases by this amount
Banking System Federal Reserve System
Assets Liabilities Assets Liabilities
Reserve
s
+$100m Loans +$100m Loans +$100m Reserves +$100m
(borrowing from Fed) (borrowing from
Fed)
Copyright ยฉ 2019 Pearson Education, Ltd.
Other Factors That Affect the Monetary
Base
โ€ข Float
โ€ข Treasury deposits at the Federal Reserve
โ€ข Interventions in the foreign exchange market
Copyright ยฉ 2019 Pearson Education, Ltd.
Overview of the Fedโ€™s Ability to Control the
Monetary Base
โ€ข Open market operations are controlled by the Fed.
โ€ข The Fed cannot determine the amount of borrowing by
banks from the Fed.
โ€ข Split the monetary base into two components:
MB = MBn + BR
โ€ข The money supply is positively related to both the non-
borrowed monetary base MBn and to the level of borrowed
reserves, BR, from the Fed.
Copyright ยฉ 2019 Pearson Education, Ltd.
Multiple Deposit Creation: A Simple Model
(1 of 2)
Deposit Creation: Single Bank
โ€ข Excess reserves increase
โ€ข Bank loans out the excess reserves
โ€ข Creates a checking account
โ€ข Borrower makes purchases
โ€ข The Money supply has increased
First National Bank First National Bank
Assets Liabilities Assets Liabilities
Securities -$100m Securities -$100m Checkable
deposits
+$100m
Reserves +$100m Reserves +$100m
Loans +$100m
First National Bank
Assets Liabilities
Securities -$100m
Loans +$100m
Copyright ยฉ 2019 Pearson Education, Ltd.
Multiple Deposit Creation: A Simple Model
(2 of 2)
Deposit Creation: The Banking System
Bank A Bank A
Assets Liabilities Assets Liabilities
Reserves +$100
m
Checkable
deposits
+$100
m
Reserves +$10 Checkable
deposits
+$100
m
Loans +$90
Bank B Bank B
Assets Liabilities Assets Liabilities
Reserves +$90 Checkable
deposits
+$90 Reserves +$9 Checkable
deposits
+$90
Loans +$81
Copyright ยฉ 2019 Pearson Education, Ltd.
Table 1 Creation of Deposits (Assuming 10% Reserve
Requirement and a $100 Increase in Reserves)
Copyright ยฉ 2019 Pearson Education, Ltd.
Deriving the Formula for Multiple Deposit
Creation
โ€ข Assume that banks do not hold any excess reserves. The assumption
means the total amount of required reserves equal total reserves:
RR = R
โ€ข The total amount of required reserves equals the required reserve ratio
times the amount of checkable deposits D, or
RR = rr ร— D
โ€ข Combining the above equations, we will have
D = R / rr
โ€ข Taking the change in both sides of the equation and using ฮ” to
represent the changes:
ฮ”D = (ฮ”R) / rr
Copyright ยฉ 2019 Pearson Education, Ltd.
Critique of the Simple Model
โ€ข Holding cash stops the process
โ€“ Currency has no multiple deposit expansion
โ€ข Banks may not use all of their excess reserves to buy
securities or make loans.
โ€ข Depositorsโ€™ decisions (how much currency to hold) and
bankโ€™s decisions (amount of excess reserves to hold) also
cause the money supply to change.
Copyright ยฉ 2019 Pearson Education, Ltd.
Factors That Determine the Money Supply
(1 of 2)
โ€ข Changes in the nonborrowed monetary base MBn
โ€“ The money supply is positively related to the non-
borrowed monetary base MBn
โ€ข Changes in borrowed reserves from the Fed
โ€“ The money supply is positively related to the level of
borrowed reserves, BR, from the Fed
Copyright ยฉ 2019 Pearson Education, Ltd.
Factors That Determine the Money
Supply (2 of 2)
โ€ข Changes in the required reserves ratio
โ€“ The money supply is negatively related to the required
reserve ratio.
โ€ข Changes in currency holdings
โ€“ The money supply is negatively related to currency
holdings.
โ€ข Changes in excess reserves
โ€“ The money supply is negatively related to the amount
of excess reserves.
Copyright ยฉ 2019 Pearson Education, Ltd.
Overview of the Money Supply Process
SUMMARY TABLE 1
Money Supply Response
Player Variable
Change in
Variable
Money Supply
Response Reason
Federal Reserve
System
Nonborrowed monetary
base, MBn
โ†‘ โ†‘ More MB for deposit
creation
Blank Required reserve ratio, rr โ†‘ โ†“ Less multiple deposit
expansion
Banks Borrowed reserves, BR โ†‘ โ†‘ More MB for deposit
creation
Blank Excess reserves โ†‘ โ†“ Less loans and deposit
creation
Depositors Currency holdings โ†‘ โ†“ Less multiple deposit
expansion
Note: Only increases (โ†‘) in the variables are shown. The effects of decreases on the money supply
would be the opposite of those indicated in the โ€œMoney Supply Responseโ€ column.
Copyright ยฉ 2019 Pearson Education, Ltd.
The Money Multiplier
โ€ข Define money as currency plus checkable deposits: M1
โ€ข Link the money supply (M) to the monetary base (MB) and
let m be the money multiplier
๏€ฝ ๏‚ด
M m MB
Copyright ยฉ 2019 Pearson Education, Ltd.
Deriving the Money Multiplier (1 of 4)
โ€ข Assume that the desired holdings of currency C and
excess reserves ER grow proportionally with checkable
deposits D.
โ€ข Then,
c = {C / D} = currency ratio
e = {ER / D} = excess reserves ratio
Copyright ยฉ 2019 Pearson Education, Ltd.
Deriving the Money Multiplier (2 of 4)
โ€ข The total amount of reserves (R) equals the sum of
required reserves (RR) and excess reserves (ER):
R = RR + ER
โ€ข The total amount of required reserves equals the required
reserve ratio times the amount of checkable deposits:
RR = rr ร— D
โ€ข Substituting for RR in the first equation gives
R = (rr ร— D) + ER
where rr is set to be less than 1 by the Fed
Copyright ยฉ 2019 Pearson Education, Ltd.
Deriving the Money Multiplier (3 of 4)
โ€ข The monetary base MB equals currency (C) plus reserves
(R):
MB = C + R = C + (rr ร— D) + ER
โ€ข Equation reveals the amount of the monetary base needed
to support the existing amounts of checkable deposits,
currency, and excess reserves.
Copyright ยฉ 2019 Pearson Education, Ltd.
Deriving the Money Multiplier (4 of 4)
c={C / D}๏ƒž C = c ๏‚ด D and
e ={ER / D}๏ƒž ER = e๏‚ด D
Substituting in the previous equation
MB ๏€ฝ (r ๏‚ด D)๏€ซ (e๏‚ด D)๏€ซ (c ๏‚ด D) ๏€ฝ (r ๏€ซ e๏€ซ c)๏‚ด D
Divide both sides by the term in parentheses
D ๏€ฝ
1
r ๏€ซ e๏€ซ c
๏‚ด MB
M ๏€ฝ D ๏€ซ C and C ๏€ฝ c ๏‚ด D
M ๏€ฝ D ๏€ซ (c ๏‚ด D) ๏€ฝ (1๏€ซ c)๏‚ด D
Substituting again
M ๏€ฝ
1๏€ซ c
r ๏€ซ e๏€ซ c
๏‚ด MB
The money multiplier is then
m ๏€ฝ
1๏€ซ c
r ๏€ซ e๏€ซ c
Copyright ยฉ 2019 Pearson Education, Ltd.
Intuition Behind the Money Multiplier
r ๏€ฝ required reserve ratio = 0.10
C ๏€ฝ currency in circulation = $400B
D ๏€ฝ checkable deposits = $800B
ER ๏€ฝ excess reserves = $0.8B
M ๏€ฝ money supply (M1) = C ๏€ซ D = $1,200B
c ๏€ฝ
$400B
$800B
๏€ฝ 0.5
e ๏€ฝ
$0.8B
$800B
๏€ฝ 0.001
m ๏€ฝ
1๏€ซ0.5
0.1๏€ซ0.001๏€ซ0.5
๏€ฝ
1.5
0.601
๏€ฝ 2.5
This is less than the simple deposit multiplier
Although there is multiple expansion of deposits,
there is no such expansion for currency
Copyright ยฉ 2019 Pearson Education, Ltd.
Quantitative Easing and the Money Supply,
2007โ€“2017
โ€ข When the global financial crisis began in the fall of 2007,
the Fed initiated lending programs and large-scale asset-
purchase programs in an attempt to bolster the economy.
โ€ข By the fall of 2017, these purchases of securities had led
to a quintupling of the Fedโ€™s balance sheet and a 350%
increase in the monetary base.
Copyright ยฉ 2019 Pearson Education, Ltd.
Quantitative Easing and the Money Supply,
2007โ€“2014
โ€ข These lending and asset-purchase programs resulted in a
huge expansion of the monetary base and have been
given the name โ€œquantitative easing.โ€
โ€ข This increase in the monetary base did not lead to an
equivalent change in the money supply because excess
reserves rose dramatically.
Copyright ยฉ 2019 Pearson Education, Ltd.
Figure 1 M1 and the Monetary Base, 2007โ€“
2017
Source: Federal Reserve Bank of St. Louis, FRED database: http://research.stlouisfed.org/fred2/.
Copyright ยฉ 2019 Pearson Education, Ltd.
Figure 2 Excess Reserves Ratio and
Currency Ratio, 2007โ€“2017
Source: Federal Reserve Bank of St. Louis, FRED database: http://research.stlouisfed.org/fred2/.

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Chapter 16 - The Money Supply Process.pdf

  • 1. The Economics of Money, Banking, and Financial Markets Twelfth Edition, Global Edition Chapter 15 The Money Supply Process Copyright ยฉ 2019 Pearson Education, Ltd.
  • 2. Copyright ยฉ 2019 Pearson Education, Ltd. Preview โ€ข This chapter provides an overview of how commercial banks create deposits and describes the basic principles of the money supply creation process
  • 3. Copyright ยฉ 2019 Pearson Education, Ltd. Learning Objectives (1 of 2) โ€ข List and describe the โ€œthree playersโ€ that influence the money supply. โ€ข Classify the factors affecting the Federal Reserveโ€™s assets and liabilities. โ€ข Identify the factors that affect the monetary base and discuss their effects on the Federal Reserveโ€™s balance sheet. โ€ข Explain and illustrate the deposit creation process using T- accounts.
  • 4. Copyright ยฉ 2019 Pearson Education, Ltd. Learning Objectives (2 of 2) โ€ข List the factors that affect the money supply. โ€ข Summarize how the โ€œthree playersโ€ can influence the money supply. โ€ข Calculate and interpret changes in the money multiplier.
  • 5. Copyright ยฉ 2019 Pearson Education, Ltd. Three Players in the Money Supply Process 1. The Central bank: Federal Reserve System 2. Banks: depository institutions; financial intermediaries 3. Depositors: individuals and institutions
  • 6. Copyright ยฉ 2019 Pearson Education, Ltd. The Fedโ€™s Balance Sheet โ€ข Liabilities โ€“ Currency in circulation: in the hands of the public โ€“ Reserves: bank deposits at the Fed and vault cash โ€ข Assets โ€“ Government securities: holdings by the Fed that affect money supply and earn interest โ€“ Discount loans: provide reserves to banks and earn the discount rate Federal Reserve System Assets Liabilities Securities Currency in circulation Loans to Financial Institutions Reserves
  • 7. Copyright ยฉ 2019 Pearson Education, Ltd. Control of the Monetary Base High-powered money = + = currency in circulation = total reserves in the banking system MB C R C R
  • 8. Copyright ยฉ 2019 Pearson Education, Ltd. Open Market Purchase from a Bank โ€ข Net result is that reserves have increased by $100 โ€ข No change in currency โ€ข Monetary base has risen by $100 Banking System Federal Reserve System Assets Liabilities Assets Liabilities Securities -$100m Securities +$100m Reserves +$100m Reserves +$100m
  • 9. Copyright ยฉ 2019 Pearson Education, Ltd. Open Market Purchase from the Nonbank Public (1 of 2) โ€ข Person selling bonds to the Fed deposits the Fedโ€™s check in the bank โ€ข Identical result as the purchase from a bank Banking System Federal Reserve System Assets Liabilities Assets Liabilities Reserve s +$100m Checkable deposits +$100m Securities +$100m Reserves +$100m
  • 10. Copyright ยฉ 2019 Pearson Education, Ltd. Open Market Purchase from the Nonbank Public (2 of 2) โ€ข The person selling the bonds cashes the Fedโ€™s check โ€ข Reserves are unchanged โ€ข Currency in circulation increases by the amount of the open market purchase โ€ข Monetary base increases by the amount of the open market purchase Nonbank Public Federal Reserve System Assets Liabilities Assets Liabilities Securities -$100m Securities +$100m Currency in circulation +$100m Currency +$100m
  • 11. Copyright ยฉ 2019 Pearson Education, Ltd. Open Market Purchase: Summary โ€ข The effect of an open market purchase on reserves depends on whether the seller of the bonds keeps the proceeds from the sale in currency or in deposits. โ€ข The effect of an open market purchase on the monetary base always increases the monetary base by the amount of the purchase.
  • 12. Copyright ยฉ 2019 Pearson Education, Ltd. Open Market Sale โ€ข Reduces the monetary base by the amount of the sale โ€ข Reserves remain unchanged โ€ข The effect of open market operations on the monetary base is much more certain than the effect on reserves. Nonbank Public Federal Reserve System Assets Liabilities Assets Liabilities Securities +$100m Securities -$100m Currency in circulation -$100m Currency -$100m
  • 13. Copyright ยฉ 2019 Pearson Education, Ltd. Shifts from Deposits into Currency โ€ข Net effect on monetary liabilities is zero โ€ข Reserves are changed by random fluctuations โ€ข Monetary base is a relatively stable variable Nonbank Public Banking System Assets Liabilities Assets Liabilities Checkable deposits -$100m Reserves -$100m Checkable deposits -$100m Currency +$100m Federal Reserve System Assets Liabilities Currency in circulation +$100m Reserves -$100m
  • 14. Copyright ยฉ 2019 Pearson Education, Ltd. Loans to Financial Institutions โ€ข Monetary liabilities of the Fed have increased by $100 โ€ข Monetary base also increases by this amount Banking System Federal Reserve System Assets Liabilities Assets Liabilities Reserve s +$100m Loans +$100m Loans +$100m Reserves +$100m (borrowing from Fed) (borrowing from Fed)
  • 15. Copyright ยฉ 2019 Pearson Education, Ltd. Other Factors That Affect the Monetary Base โ€ข Float โ€ข Treasury deposits at the Federal Reserve โ€ข Interventions in the foreign exchange market
  • 16. Copyright ยฉ 2019 Pearson Education, Ltd. Overview of the Fedโ€™s Ability to Control the Monetary Base โ€ข Open market operations are controlled by the Fed. โ€ข The Fed cannot determine the amount of borrowing by banks from the Fed. โ€ข Split the monetary base into two components: MB = MBn + BR โ€ข The money supply is positively related to both the non- borrowed monetary base MBn and to the level of borrowed reserves, BR, from the Fed.
  • 17. Copyright ยฉ 2019 Pearson Education, Ltd. Multiple Deposit Creation: A Simple Model (1 of 2) Deposit Creation: Single Bank โ€ข Excess reserves increase โ€ข Bank loans out the excess reserves โ€ข Creates a checking account โ€ข Borrower makes purchases โ€ข The Money supply has increased First National Bank First National Bank Assets Liabilities Assets Liabilities Securities -$100m Securities -$100m Checkable deposits +$100m Reserves +$100m Reserves +$100m Loans +$100m First National Bank Assets Liabilities Securities -$100m Loans +$100m
  • 18. Copyright ยฉ 2019 Pearson Education, Ltd. Multiple Deposit Creation: A Simple Model (2 of 2) Deposit Creation: The Banking System Bank A Bank A Assets Liabilities Assets Liabilities Reserves +$100 m Checkable deposits +$100 m Reserves +$10 Checkable deposits +$100 m Loans +$90 Bank B Bank B Assets Liabilities Assets Liabilities Reserves +$90 Checkable deposits +$90 Reserves +$9 Checkable deposits +$90 Loans +$81
  • 19. Copyright ยฉ 2019 Pearson Education, Ltd. Table 1 Creation of Deposits (Assuming 10% Reserve Requirement and a $100 Increase in Reserves)
  • 20. Copyright ยฉ 2019 Pearson Education, Ltd. Deriving the Formula for Multiple Deposit Creation โ€ข Assume that banks do not hold any excess reserves. The assumption means the total amount of required reserves equal total reserves: RR = R โ€ข The total amount of required reserves equals the required reserve ratio times the amount of checkable deposits D, or RR = rr ร— D โ€ข Combining the above equations, we will have D = R / rr โ€ข Taking the change in both sides of the equation and using ฮ” to represent the changes: ฮ”D = (ฮ”R) / rr
  • 21. Copyright ยฉ 2019 Pearson Education, Ltd. Critique of the Simple Model โ€ข Holding cash stops the process โ€“ Currency has no multiple deposit expansion โ€ข Banks may not use all of their excess reserves to buy securities or make loans. โ€ข Depositorsโ€™ decisions (how much currency to hold) and bankโ€™s decisions (amount of excess reserves to hold) also cause the money supply to change.
  • 22. Copyright ยฉ 2019 Pearson Education, Ltd. Factors That Determine the Money Supply (1 of 2) โ€ข Changes in the nonborrowed monetary base MBn โ€“ The money supply is positively related to the non- borrowed monetary base MBn โ€ข Changes in borrowed reserves from the Fed โ€“ The money supply is positively related to the level of borrowed reserves, BR, from the Fed
  • 23. Copyright ยฉ 2019 Pearson Education, Ltd. Factors That Determine the Money Supply (2 of 2) โ€ข Changes in the required reserves ratio โ€“ The money supply is negatively related to the required reserve ratio. โ€ข Changes in currency holdings โ€“ The money supply is negatively related to currency holdings. โ€ข Changes in excess reserves โ€“ The money supply is negatively related to the amount of excess reserves.
  • 24. Copyright ยฉ 2019 Pearson Education, Ltd. Overview of the Money Supply Process SUMMARY TABLE 1 Money Supply Response Player Variable Change in Variable Money Supply Response Reason Federal Reserve System Nonborrowed monetary base, MBn โ†‘ โ†‘ More MB for deposit creation Blank Required reserve ratio, rr โ†‘ โ†“ Less multiple deposit expansion Banks Borrowed reserves, BR โ†‘ โ†‘ More MB for deposit creation Blank Excess reserves โ†‘ โ†“ Less loans and deposit creation Depositors Currency holdings โ†‘ โ†“ Less multiple deposit expansion Note: Only increases (โ†‘) in the variables are shown. The effects of decreases on the money supply would be the opposite of those indicated in the โ€œMoney Supply Responseโ€ column.
  • 25. Copyright ยฉ 2019 Pearson Education, Ltd. The Money Multiplier โ€ข Define money as currency plus checkable deposits: M1 โ€ข Link the money supply (M) to the monetary base (MB) and let m be the money multiplier ๏€ฝ ๏‚ด M m MB
  • 26. Copyright ยฉ 2019 Pearson Education, Ltd. Deriving the Money Multiplier (1 of 4) โ€ข Assume that the desired holdings of currency C and excess reserves ER grow proportionally with checkable deposits D. โ€ข Then, c = {C / D} = currency ratio e = {ER / D} = excess reserves ratio
  • 27. Copyright ยฉ 2019 Pearson Education, Ltd. Deriving the Money Multiplier (2 of 4) โ€ข The total amount of reserves (R) equals the sum of required reserves (RR) and excess reserves (ER): R = RR + ER โ€ข The total amount of required reserves equals the required reserve ratio times the amount of checkable deposits: RR = rr ร— D โ€ข Substituting for RR in the first equation gives R = (rr ร— D) + ER where rr is set to be less than 1 by the Fed
  • 28. Copyright ยฉ 2019 Pearson Education, Ltd. Deriving the Money Multiplier (3 of 4) โ€ข The monetary base MB equals currency (C) plus reserves (R): MB = C + R = C + (rr ร— D) + ER โ€ข Equation reveals the amount of the monetary base needed to support the existing amounts of checkable deposits, currency, and excess reserves.
  • 29. Copyright ยฉ 2019 Pearson Education, Ltd. Deriving the Money Multiplier (4 of 4) c={C / D}๏ƒž C = c ๏‚ด D and e ={ER / D}๏ƒž ER = e๏‚ด D Substituting in the previous equation MB ๏€ฝ (r ๏‚ด D)๏€ซ (e๏‚ด D)๏€ซ (c ๏‚ด D) ๏€ฝ (r ๏€ซ e๏€ซ c)๏‚ด D Divide both sides by the term in parentheses D ๏€ฝ 1 r ๏€ซ e๏€ซ c ๏‚ด MB M ๏€ฝ D ๏€ซ C and C ๏€ฝ c ๏‚ด D M ๏€ฝ D ๏€ซ (c ๏‚ด D) ๏€ฝ (1๏€ซ c)๏‚ด D Substituting again M ๏€ฝ 1๏€ซ c r ๏€ซ e๏€ซ c ๏‚ด MB The money multiplier is then m ๏€ฝ 1๏€ซ c r ๏€ซ e๏€ซ c
  • 30. Copyright ยฉ 2019 Pearson Education, Ltd. Intuition Behind the Money Multiplier r ๏€ฝ required reserve ratio = 0.10 C ๏€ฝ currency in circulation = $400B D ๏€ฝ checkable deposits = $800B ER ๏€ฝ excess reserves = $0.8B M ๏€ฝ money supply (M1) = C ๏€ซ D = $1,200B c ๏€ฝ $400B $800B ๏€ฝ 0.5 e ๏€ฝ $0.8B $800B ๏€ฝ 0.001 m ๏€ฝ 1๏€ซ0.5 0.1๏€ซ0.001๏€ซ0.5 ๏€ฝ 1.5 0.601 ๏€ฝ 2.5 This is less than the simple deposit multiplier Although there is multiple expansion of deposits, there is no such expansion for currency
  • 31. Copyright ยฉ 2019 Pearson Education, Ltd. Quantitative Easing and the Money Supply, 2007โ€“2017 โ€ข When the global financial crisis began in the fall of 2007, the Fed initiated lending programs and large-scale asset- purchase programs in an attempt to bolster the economy. โ€ข By the fall of 2017, these purchases of securities had led to a quintupling of the Fedโ€™s balance sheet and a 350% increase in the monetary base.
  • 32. Copyright ยฉ 2019 Pearson Education, Ltd. Quantitative Easing and the Money Supply, 2007โ€“2014 โ€ข These lending and asset-purchase programs resulted in a huge expansion of the monetary base and have been given the name โ€œquantitative easing.โ€ โ€ข This increase in the monetary base did not lead to an equivalent change in the money supply because excess reserves rose dramatically.
  • 33. Copyright ยฉ 2019 Pearson Education, Ltd. Figure 1 M1 and the Monetary Base, 2007โ€“ 2017 Source: Federal Reserve Bank of St. Louis, FRED database: http://research.stlouisfed.org/fred2/.
  • 34. Copyright ยฉ 2019 Pearson Education, Ltd. Figure 2 Excess Reserves Ratio and Currency Ratio, 2007โ€“2017 Source: Federal Reserve Bank of St. Louis, FRED database: http://research.stlouisfed.org/fred2/.