INTRODUCTION TO
MONEY AND BANKING
Tables and Graphs
Part 3
Table of Definitions
• TR = Total Reserves-Definition*
• RR = Required Reserves-Definition*
• ER = Excess Reserves-Definition*
• r = Minimum Reserve Ratio = RR/DD = ΔRR/ΔDD
• GS = Government Securities
• LL = Loans
• DD = Demand Deposits
• A = Assets
• L = Liabilities
• NW = A – L = Net Worth
Figure D-2.1: Bank A’s Balance Sheet
Bank A
A L
TR = $1m RR = $1m ER = $0m GS = $6m LL = $4m
DD = $10m
NW = $1m
NOTE: (1) r = 10% and since ER = 0, Bank A is fully loaned up.
(2) TR = RR + ER.
(3) A = L + NW and TR + GS + LL = DD + NW.
Figure D-2.2: The Banking System’s Balance Sheet When r = 10%
Banking System
A L
TR = $50m RR = $50m ER = $0m GS = $120m LL = $355m
DD = $500m
NW = $25m
NOTE: r = 10% and since ER = 0, the Banking
System is fully loaned up (ER = 0 for all banks
in the Banking System).
Figure D-2.3: The Fed’s Balance Sheet
Federal Reserve District Bank
A L
GS = $140m MBS =$500m
FRN = $80m
MBR = $550m
T = $10m
GS = Government Securities
FRN = Federal Reserve Notes
MBR = Member Bank Reserves
T = Treasury Checking Account
MBS = Mortgage Backed Securities
Figure D-2.4a: Purchase of $1M in GS from Bank A: The Fed’s First Balance Sheet
Federal Reserve District Bank
A L
GS = $140m MBS = $500m
FRN = $100m MBR = $550m T = $10m
1.
Figure D-2.4b: Purchase of $1M in GS from Bank A: The Fed’s Second Balance Sheet
Federal Reserve District Bank
A L
GS = $141m MBS = $500m
FRN = $100m MBR = $551m T = $10m
The Fed purchases $1m in GS from Bank A.
2.
Figure D-2.5a: Bank A’s First Balance Sheet
Bank A
A L
TR = $1m RR = $1m ER = $0m GS = $6m LL = $4m
DD = $10m
NW = $1m
NOTE: r = 10% and since ER = 0, Bank A is fully loaned up.
1.
Figure D-2.5b: Bank A’s Second Balance Sheet
Bank A
A L
TR = $2m RR = $1m ER = +$1m GS = $5m LL = $4m
DD = $10m
NW = $1m ΔLL = +$1m ΔDD = +$1m ΔTR = -$1m ΔDD = -$1m 2.
a.
b.
c.
2.a. The Fed purchases $1m in GS from Bank A.
b. Money Creation Step: Bank A loans out $1m and creates a DD of $1m.
c. Clearing Step: $1m is spent and deposited in Bank B.
Bank B gains $1m in TR and Bank A loses $1m in TR.
Figure D-2.5c: Bank A’s Third Balance Sheet
Bank A
A L
TR = $1m RR = $1m ER = 0 GS = $5m LL = $5m
DD = $10m
NW = $1m 3.
NOTE: Bank A is fully loaned up and
its Balance Sheet balances.
Figure D-2.6a: Bank A’s First Balance Sheet
Bank A
A L
TR = $1m RR = $1m ER = $0m GS = $6m LL = $4m
DD = $10m
NW = $1m
NOTE: r = 10% and since ER = 0, Bank A is fully loaned up.
1.
Figure D-2.6b: Bank A’s Second Balance Sheet
Bank A
A L
TR = RR = ER = GS = LL =
DD =
NW = $1m
ΔLL = ΔDD =
ΔTR = ΔDD =
2.
a.
b.
c.
2.a. The Fed purchases $1m in GS from Bank A.
b. Money Creation Step: Bank A loans out $1m and creates a DD of $1m.
c. Clearing Step: $1m is spent and deposited in Bank B.
Bank B gains $1m in TR and Bank A loses $1m in TR.
Figure D-2.6c: Bank A’s Third Balance Sheet
Bank A
A L
TR = RR = ER = GS = LL =
DD =
NW = 3.
NOTE: Bank A is fully loaned up and
its Balance Sheet balances.
Figure D-2.6d: Bank B’s First Balance Sheet
Bank B
A L
TR = $1m RR = $1m ER = $0m GS = $6m LL = $4m
DD = $10m
NW = $1m
NOTE: r = 10% and since ER = 0, Bank B is
fully loaned up.
Figure D-2.6e: Bank B’s Second Balance Sheet
Bank B
A L
TR = RR = ER = GS = LL =
DD =
NW =
ΔLL = ΔDD =
ΔTR = ΔDD =
2.
a.
b.
c.
2.a. A check for $1m is deposited in Bank B and Bank B receives $1m in TR from Bank A in the clearing step.
b. DD Creation: Bank B loans out $0.9m and creates DD of $0.9m.
c. Clearing Step: $0.9m is spent and deposited in Bank C.
Bank C gains $0.9m in TR and Bank B loses $0.9m in TR.
Figure D-2.6f: Bank B’s Third Balance Sheet
Bank B
A L
TR = RR = ER = GS = LL =
DD =
NW = 3.
NOTE: Bank B is fully loaned up and
its Balance Sheet balances.
Table D-2.1a: Summary of Deposit Expansion Process
Bank ΔTR ΔRR ΔER ΔLL ΔDD ΣΔDD A $1.00m $0.00m $1.00m $1.00m $1.00m $1.00m B $1.00m $0.10m $0.90m $0.90m $0.90m $1.90m C $0.90m $0.09m $0.81m $0.81m $0.81m $2.71m D $0.81m $0.08m $0.73m $0.73m $0.73m $3.44m E
Other
Banks
Totals
Figure D-2.7a: The Banking System’s First Balance Sheet When r = 10%
Banking System
A L
TR = $50m RR = $50m ER = $0m GS = $140m LL = $335m
DD = $500m
NW = $25m
NOTE: r = 10% and since ER = 0, the Banking System is fully loaned up (ER = 0 for all banks in the Banking System).
1.
Figure D-2.7b: Banking System’s Second Balance Sheet
Banking System
A L
TR = $51m RR = $50m ER = +$1m GS = $139m LL = $335m
DD = $500m
NW = $25m ΔLL = +$10m ΔDD = +$10m 2.
a.
b.
2.a. Fed purchases $1m in GS from Bank A
b. Money Creation Step: Banking System creates a multiple
number of LLs and DDs. (Note that the Banking System
can do this because it does NOT lose the DDs it creates.)
Figure D-2.7c: Banking System’s Third Balance Sheet
Banking System
A L
TR = $51m RR = $51m ER = 0
GS = $139m LL = $345m
DD = $510m
NW = $25m 3.
NOTE1: Banking System is fully loaned up
and the Money Supply (DDs) has increased.
Figure D-2.8a: The Banking System’s First Balance Sheet When r = 10%
Banking System
A L
TR = $50m RR = $50m ER = $0m GS = $140m LL = $335m
DD = $500m
NW = $25m
NOTE: r = 10% and since ER = 0, the Banking System is fully loaned up (ER = 0 for all banks in the Banking System).
1.
Figure D-2.8b: Banking System’s Second Balance Sheet
Banking System
A L
TR = RR = ER = GS = LL =
DD =
NW =
ΔLL = ΔDD =
2.
a
.b.
2.a. Depositors convert $1m in DDs to C
b. Money Destruction Step: Banking System destroys a
multiple number of LLs and DDs. (As people use DDs to
pay off their LLs banks do not renew loans.)
Figure D-2.8c: Banking System’s Third Balance Sheet
Banking System
A L
TR = RR = ER = GS = LL =
DD =
NW = 3.
NOTE: Banking System is fully loaned up
and the Money Supply (DDs) has decreased.
Complex Multiplier Formulas
c = Currency Deposit Ratio = C/DD > 0 er = Excess Reserve Ratio = ER/DD > 0 MB = Monetary Base = TR + C
mm* = Complex Multiplier mm* = (1 + c)/(r + er + c)
M
S= C + DD
∆M
S= ∆C + ∆DD M
S= mm*(MB)
∆ M
S= mm*(∆ MB)
Figure E-1.1: Supply and Demand for Money
1/P P
M
$1.00 100
$0.66 150
$0.50 200
250
$0.40
M
DM
SFigure E-1.2: Illustrating an Excess Demand for Money in the Money Market
M 1/P
Money Market M
SM
D$0.50
M
1M
2NOTE: When the price level is P = 250 there is an ES in the goods markets and ED in the money market. The adjustment process in the goods markets drives prices down in all markets (deflation)instantaneously.
$0.40
ED
Figure E-1.3: Illustrating an Excess Supply of Money
M 1/P
Money Market M
SM
D$0.50
ES
M
0M
1$0.66
NOTE: When the price level is
P = 150there is an ED in the
goods markets and ES in the money market. The adjustment
process in the goods markets drives prices up in all markets
(inflation) instantaneously
Figure G-1.1: Illustrating the Inflationary
Process When a Central Bank Overissues Money
M 1/P
Money Market M
S1M
D1/P
1ES
M
0M
11/P
0NOTE: When the money supply increases from M
S0to M
S1the Central Bank has over issued money. But the only
indication that it has that overissue has occurred is when the adjustment process has run its long and disruptive course with prices rising to P
1(no instantaneous adjustment).
M
S0Figure G-1.2: Illustrating the Adjustment Process when Free Banks Overissue Money
M 1/P
Money Market