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CCllaassssiiccaall MMaaccrrooeeccoonnoommiiccss IIII 
CChhaapptteerr 44 
Professor Steve Cunningham 
Intermediate Macroeconomics 
ECON 219
2 
CCllaassssiiccaall DDiicchhoottoommyy 
w/P 
N 
Y 
P 
S 
I 
r 
r* 
S*,I* 
Ns 
LRAS 
Y=F(N,K) 
Nd 
S,I 
Y*
QQuuaannttiittyy TThheeoorryy ooff MMoonneeyy 
The theory: for a given level of 
output, the price level is proportional 
to the quantity of money. 
This theory is made explicit in the 
equation of exchange. 
3
4 
EEqquuaattiioonn ooff EExxcchhaannggee ((11)) 
Fisher’s transactions model: 
MV P T T T = 
M = the stock of money in circulation (money supply) 
VT = the circular velocity of transactions (velocity of 
money); also called the transactions velocity of 
circulation 
V PTT 
T = 
M 
PT = Price index for goods traded 
T = Real value of transactions
5 
VVeelloocciittyy ooff CCiirrccuullaattiioonn 
 The velocity of money is the average number of 
times per period (year) a unit of currency (dollar) 
is used in making a transaction. 
 The velocity of money is governed by the nature 
and sophistication of the payments system in the 
society, and therefore changes slowly over time. 
 The velocity of money is not related to any of the 
other variables in the model, so can be 
considered exogenous or fixed with respect to 
these equations.
6 
EEqquuaattiioonn ooff EExxcchhaannggee ((22)) 
Income (output) model: 
MV PY Y = 
M = the stock of money in circulation (money supply) 
VY = the circular velocity of income (velocity of 
money); also called the income velocity of circulation 
V PY Y = 
M 
P = Price index for goods traded 
Y = Real Income (GDP)
7 
VVeelloocciittyy ooff MMoonneeyy 
 The income velocity of money is the average 
number of times per period (year) a unit of 
currency (dollar) is spent in producing GDP (total 
economic activity). 
 As with the transactions velocity of money: 
 The income velocity of money is governed by the nature 
and sophistication of the payments system in the 
society, and therefore changes slowly over time. 
 The income velocity of money is not related to any of 
the other variables in the model, so can be considered 
exogenous or fixed with respect to these equations.
8 
EEqquuaattiioonn ooff EExxcchhaannggee ((33)) 
Cambridge “cash-balances” model: 
M = kPY 
M = the stock of money in circulation (money supply) 
k = Cambridge “cash-balances constant”-- the average 
holding period of each unit of the currency (dollar) 
k = 1 
V 
P = Price index for goods traded 
Y = Real Income (GDP)
9 
EEqq.. OOff EExxcchhaannggee ((33)) CCoonnttiinnuueedd 
The Cambridge model is closer to a 
modern theory of money demand. 
Implies that people hold money even 
if they only have a transactions 
motive. 
Challenged by John Maynard 
Keynes.
10 
EEqq.. OOff EExxcchhaannggee ((33)) CCoonnttiinnuueedd 
If M = kPY, and k and Y are 
determined separately from money 
(M) and prices (P), then 
M­Þ P­. All else equal, inflation 
(rising prices) are caused by 
increasing the money supply. 
The price level is proportional to the 
money supply.
11 
OOnn ttoo AAggggrreeggaattee DDeemmaanndd 
If M = kPY, then 
P = M . 
kY 
But M and k exogenous, to Y. 
This means that P is inversely 
related to 1/Y. This is the 
equation of a hyperbola, and 
is an equation that relates the 
price level to GDP. 
P 
Yd (M=400) 
Yd (M=300) 
Y 
It is Aggregate Demand!
ADP 2 1 
12 
AAddddiinngg MMoonneeyy ((11)) 
w/P 
N 
Y 
P 
S 
I 
r 
r* 
S*,I* 
Ns 
LRAS 
Y=F(N,K) 
Nd 
S,I 
Y* 
AD1 
P2
AD2 
13 
AAddddiinngg MMoonneeyy ((22)) 
nominal 
wages 
w2 
w/P 
N 
Y 
P 
S 
I 
r 
r* 
S*,I* 
Ns 
LRAS 
Y=F(N,K) 
P2 
Nd 
S,I 
Y* 
AD1 
P1 
w1
CCllaassssiiccaall MMooddeell iinn EEqquuaattiioonnss 
+ 
Ns Ns 
= P w 
( ) 
S = S r 
I (r) = S(r) Þ I*,S*,r * 
Y = F(N*,K*)ÞY * 
C = Y *-S *ÞC = C(r*)ÞC* 
14 
- 
Nd Nd 
( ) ( ) *,( )* P w 
= P w 
( ) 
Ns = N Þ N 
P w 
d 
P w 
- 
I = I r 
( ) 
+ 
( ) 
P = M Þ 
* * 0 kY P 
( )* ´ P* = 
w* P w 
(1) 
(2) 
(3) 
(4) 
(5) 
(6) 
(7) 
(8) 
(9) 
(10)
EExxppaannddiinngg tthhee CCaappiittaall MMaarrkkeett 
G –T = deficit 
I + (G –T) 
15 
I 
r 
r1* 
S 
S = I + (G -T) 
r2* 
Bond financed 
government 
spending 
raises interest 
rates, 
crowding out 
private 
business 
investment.
16 
GGoovv’’tt IInnccrreeaasseess SSppeennddiinngg 
Effect on Output & Employment: 
– In the classical model, GDP and 
employment are determined without any 
consideration of what the level of 
government spending is. 
– Therefore, government spending has no 
impact on output or employment.
GGoovv’’tt IInnccrreeaasseess SSppeennddiinngg,, DDeettaaiillss ((11)) 
17 
 Effect if Taxes are not changed: 
– S = I + (G - T); the spending is bond financed. 
– If G = T before the increase in spending, if G­ 
but T is unchanged, then G – T > 0. 
– The demand for loanable funds increases by (G 
– T), shifting to the right. 
– r­ leading to I¯ , S(r)­ and C(r)¯. 
– It turns out that I¯ + C(r)¯ = G­. 
– The increase resulting from increases in G is 
just offset by decreases in I and C. Government 
spending crowds out private sector spending.
GGoovv’’tt IInnccrreeaasseess SSppeennddiinngg,, DDeettaaiillss ((22)) 
Effect if the spending is financed by 
money creation: 
– There is still no reason for output and 
employment decisions to change. 
– AS (total output) does not change. 
– The AD curve will shift to the right as 
the money supply is increased. 
– The price level will rise--inflation. 
18
19 
PPiieerrcciinngg tthhee VVeeiill 
 Classical Economics is based on agents 
evaluating everything in real terms. 
 Agents are thought to “pierce the veil of 
money” and make all decisions based 
upon the underlying reals. 
 Agents seek to maintain their buying 
power (in real, after-tax terms) because 
they only work to buy (real) things.
EEffffeeccttss ooff TTaaxxeess aanndd IInnffllaattiioonn 
In the face of inflation or income tax 
increases, they will: 
– Seek increases in nominal wages to 
maintain their buying power, or 
– Reduce their supply of labor. 
In the face of a income tax cut, or 
reduction of the price level, they will: 
20 
– Increase their supply of labor.
21 
TTaaxx PPoolliicciieess 
 If income taxes are cut, 
– Demand-side analysis: 
• Tax revenues fall 
• Budget deficit occurs (G – T > 0) 
• New consumption is crowded out. 
– Supply side analysis: 
• because 
ù 
úû 
Ns = Ns é (1 - 
t) w 
êë 
P 
• Labor supply increases, increasing output.
SSuuppppllyy--ssiiddee EEffffeeccttss ooff TTaaxx CCuutt 
22 
w/P 
N 
Y 
S 
I 
S,I 
r 
r* 
S*,I* 
Ns 
1 
Ns 
2 
LRAS1 
Y=F(N,K) 
w1 w2 
Nd 
LRAS2 
+ 
+ 
P 
N­, Y ­ 
P P¯, w¯ 1 P2
23 
MMoonneettaarryy PPoolliiccyy 
Has an effect on inflation only. 
“Inflation is everywhere and at all times a 
monetary phenomenon!”

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  • 1. CCllaassssiiccaall MMaaccrrooeeccoonnoommiiccss IIII CChhaapptteerr 44 Professor Steve Cunningham Intermediate Macroeconomics ECON 219
  • 2. 2 CCllaassssiiccaall DDiicchhoottoommyy w/P N Y P S I r r* S*,I* Ns LRAS Y=F(N,K) Nd S,I Y*
  • 3. QQuuaannttiittyy TThheeoorryy ooff MMoonneeyy The theory: for a given level of output, the price level is proportional to the quantity of money. This theory is made explicit in the equation of exchange. 3
  • 4. 4 EEqquuaattiioonn ooff EExxcchhaannggee ((11)) Fisher’s transactions model: MV P T T T = M = the stock of money in circulation (money supply) VT = the circular velocity of transactions (velocity of money); also called the transactions velocity of circulation V PTT T = M PT = Price index for goods traded T = Real value of transactions
  • 5. 5 VVeelloocciittyy ooff CCiirrccuullaattiioonn  The velocity of money is the average number of times per period (year) a unit of currency (dollar) is used in making a transaction.  The velocity of money is governed by the nature and sophistication of the payments system in the society, and therefore changes slowly over time.  The velocity of money is not related to any of the other variables in the model, so can be considered exogenous or fixed with respect to these equations.
  • 6. 6 EEqquuaattiioonn ooff EExxcchhaannggee ((22)) Income (output) model: MV PY Y = M = the stock of money in circulation (money supply) VY = the circular velocity of income (velocity of money); also called the income velocity of circulation V PY Y = M P = Price index for goods traded Y = Real Income (GDP)
  • 7. 7 VVeelloocciittyy ooff MMoonneeyy  The income velocity of money is the average number of times per period (year) a unit of currency (dollar) is spent in producing GDP (total economic activity).  As with the transactions velocity of money:  The income velocity of money is governed by the nature and sophistication of the payments system in the society, and therefore changes slowly over time.  The income velocity of money is not related to any of the other variables in the model, so can be considered exogenous or fixed with respect to these equations.
  • 8. 8 EEqquuaattiioonn ooff EExxcchhaannggee ((33)) Cambridge “cash-balances” model: M = kPY M = the stock of money in circulation (money supply) k = Cambridge “cash-balances constant”-- the average holding period of each unit of the currency (dollar) k = 1 V P = Price index for goods traded Y = Real Income (GDP)
  • 9. 9 EEqq.. OOff EExxcchhaannggee ((33)) CCoonnttiinnuueedd The Cambridge model is closer to a modern theory of money demand. Implies that people hold money even if they only have a transactions motive. Challenged by John Maynard Keynes.
  • 10. 10 EEqq.. OOff EExxcchhaannggee ((33)) CCoonnttiinnuueedd If M = kPY, and k and Y are determined separately from money (M) and prices (P), then M­Þ P­. All else equal, inflation (rising prices) are caused by increasing the money supply. The price level is proportional to the money supply.
  • 11. 11 OOnn ttoo AAggggrreeggaattee DDeemmaanndd If M = kPY, then P = M . kY But M and k exogenous, to Y. This means that P is inversely related to 1/Y. This is the equation of a hyperbola, and is an equation that relates the price level to GDP. P Yd (M=400) Yd (M=300) Y It is Aggregate Demand!
  • 12. ADP 2 1 12 AAddddiinngg MMoonneeyy ((11)) w/P N Y P S I r r* S*,I* Ns LRAS Y=F(N,K) Nd S,I Y* AD1 P2
  • 13. AD2 13 AAddddiinngg MMoonneeyy ((22)) nominal wages w2 w/P N Y P S I r r* S*,I* Ns LRAS Y=F(N,K) P2 Nd S,I Y* AD1 P1 w1
  • 14. CCllaassssiiccaall MMooddeell iinn EEqquuaattiioonnss + Ns Ns = P w ( ) S = S r I (r) = S(r) Þ I*,S*,r * Y = F(N*,K*)ÞY * C = Y *-S *ÞC = C(r*)ÞC* 14 - Nd Nd ( ) ( ) *,( )* P w = P w ( ) Ns = N Þ N P w d P w - I = I r ( ) + ( ) P = M Þ * * 0 kY P ( )* ´ P* = w* P w (1) (2) (3) (4) (5) (6) (7) (8) (9) (10)
  • 15. EExxppaannddiinngg tthhee CCaappiittaall MMaarrkkeett G –T = deficit I + (G –T) 15 I r r1* S S = I + (G -T) r2* Bond financed government spending raises interest rates, crowding out private business investment.
  • 16. 16 GGoovv’’tt IInnccrreeaasseess SSppeennddiinngg Effect on Output & Employment: – In the classical model, GDP and employment are determined without any consideration of what the level of government spending is. – Therefore, government spending has no impact on output or employment.
  • 17. GGoovv’’tt IInnccrreeaasseess SSppeennddiinngg,, DDeettaaiillss ((11)) 17  Effect if Taxes are not changed: – S = I + (G - T); the spending is bond financed. – If G = T before the increase in spending, if G­ but T is unchanged, then G – T > 0. – The demand for loanable funds increases by (G – T), shifting to the right. – r­ leading to I¯ , S(r)­ and C(r)¯. – It turns out that I¯ + C(r)¯ = G­. – The increase resulting from increases in G is just offset by decreases in I and C. Government spending crowds out private sector spending.
  • 18. GGoovv’’tt IInnccrreeaasseess SSppeennddiinngg,, DDeettaaiillss ((22)) Effect if the spending is financed by money creation: – There is still no reason for output and employment decisions to change. – AS (total output) does not change. – The AD curve will shift to the right as the money supply is increased. – The price level will rise--inflation. 18
  • 19. 19 PPiieerrcciinngg tthhee VVeeiill  Classical Economics is based on agents evaluating everything in real terms.  Agents are thought to “pierce the veil of money” and make all decisions based upon the underlying reals.  Agents seek to maintain their buying power (in real, after-tax terms) because they only work to buy (real) things.
  • 20. EEffffeeccttss ooff TTaaxxeess aanndd IInnffllaattiioonn In the face of inflation or income tax increases, they will: – Seek increases in nominal wages to maintain their buying power, or – Reduce their supply of labor. In the face of a income tax cut, or reduction of the price level, they will: 20 – Increase their supply of labor.
  • 21. 21 TTaaxx PPoolliicciieess  If income taxes are cut, – Demand-side analysis: • Tax revenues fall • Budget deficit occurs (G – T > 0) • New consumption is crowded out. – Supply side analysis: • because ù úû Ns = Ns é (1 - t) w êë P • Labor supply increases, increasing output.
  • 22. SSuuppppllyy--ssiiddee EEffffeeccttss ooff TTaaxx CCuutt 22 w/P N Y S I S,I r r* S*,I* Ns 1 Ns 2 LRAS1 Y=F(N,K) w1 w2 Nd LRAS2 + + P N­, Y ­ P P¯, w¯ 1 P2
  • 23. 23 MMoonneettaarryy PPoolliiccyy Has an effect on inflation only. “Inflation is everywhere and at all times a monetary phenomenon!”