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AGGREGATE SUPPLY
AND SR TRADE-OFF
BETWEEN INFLATION
AND UNEMPLOYMENT
BRIEFLY ABOUT ME
¡ Olga Denislamova
¡ Born and raised in Moscow, Russia
¡ MA in Economics and Political Science from University of Edinburgh (2014)
¡ Ph.D. in Economics from UCSD (2021)
¡ Assistant Teaching Professor at UofT as of 2020: mostly macro & international econ
¡ Research on Macro-Labor and Firm Dynamics:
¡ How important is Intangible Capital (Knowledge Based Capital) for firm growth
¡ The role of skilled workers in firm’s performance
¡ How firms allocate tasks across workers
ADMINISTRATIVE STUFF: MATERIAL DELIVERY
¡ Today, on July 6th and July 11th:“normal lectures”
¡ Starting on Wednesday July 13th switch to pre-recorded videos and in-person workshops:
¡ Videos for next week posted on Thursday (2 videos 50-70 mins long each) (except for this week)
¡ You MUST watch them – treatment will differ a little from the textbook, these are your replacement
¡ On Monday and Wednesday, we will have workshops where we will discuss data, news, do group exercises and past exam
questions – 50-70 minutes each
¡ After that I will stay behind to answer your questions about the material
¡ Might move the tutorial on Wednesday to an earlier time slot
¡ Why?
ADMINISTRATIVE STUFF:ASSESSMENTS
¡ Graded homeworks:
¡ CM short and long answer type questions, for most HWs you will have 50 minutes to complete, scan and upload your
answers once you start the HW; 5% grade reduction per 1 minute late.
¡ Available to you Friday noon – due Saturday 11:59am EVERY WEEK
¡ Open book – open notes, NO collaboration allowed
¡ Somewhat of a time crunch
¡ Lowest score dropped automatically
¡ Writing assignment:
¡ Will be up to 1500 words, maybe less
¡ Prompt posted at least two weeks before the deadline
¡ MT3 & Final
¡ 2 hours each, in person, only calculators allowed, no MC
¡ Somewhat cumulative – material builds on the last term
ADMINISTRATIVE STUFF: COMMUNICATION
¡ Office Hours: online via zoomThursday 11.10 am-12pm.
¡ Can ask your questions after the workshops
¡ Course email: eco202.denislamova@utoronto.ca
¡ Please use it mostly for administrative stuff, for content questions use Discussion Board, my OH,TA OH,WS
¡ Use o.denislamova@utoronto.ca sparingly
BRIEF RECAP:WHERE DO WE STAND IN THE COURSE?
¡ So far – building up to the big model of economic fluctuations and policy response:
¡ IS-LM model to represent equilibria in goods and money markets
¡ Generates AD curve – all the combinations of P andY such that the goods market and the money market in the economy
are in equilibrium
¡ The main connection is through the interest rate in the closed economy model (CH. 12)
¡ The main connection is through the exchange rate in the open economy model (CH.13)
¡ Now:
¡ Build the theory of the supply side of the economy – most important short-run tradeoff
¡ Put it all together
¡ Next lecture:
¡ Culmination in the dynamic model
CHAPTER 14: AS & INFLATION AND
UNEMPLOYMENT IN THE SHORT RUN
INTRODUCTION
• In previous chapters, we assumed that the price level P was “stuck” in
the short run.
¡ This implies a horizontal SRAS curve.
• Now, we consider two prominent models of aggregate supply in the
short run:
¡ Sticky-price model
¡ Imperfect-information model
¡ Other things equal, Y and P are positively related, so the SRAS curve is upward
sloping.
¡ Both models imply:
INTRODUCTION, PART 2
THE STICKY-PRICE MODEL, PART 1
• Reasons for sticky prices:
• long-term contracts between firms and customers
• menu costs
• firms not wishing to annoy customers with frequent price changes
• Assumption:
• Firms set their own prices (or have some degree of market power).
THE STICKY-PRICE MODEL, PART 2
• An individual firm’s desired price is:
¡ where a > 0.
¡ Suppose there are two types of firms:
¡ firms with flexible prices—set prices as above
¡ firms with sticky prices—must set their prices before they know how P and Y will turn out:
-
p P a Y Y
( )
!"! #
-
= +
p EP a EY EY
( )
THE STICKY-PRICE MODEL, PART 3
¡ Assume that sticky-price firms expect that output will equal its natural rate. Then,
§ To derive the aggregate supply curve, first find an expression for the
overall price level.
§ s = fraction of firms with sticky prices.
Then, we can write the overall price level as . . .
-
= +
p EP a EY EY
( )
=
p EP
• Subtract (1 − s)P from both sides:
• Divide both sides by s:
• Open up the brackets:
THE STICKY-PRICE MODEL, PART 5
• High EP g high P
• If firms expect high prices, then firms that must set prices in advance will set them high.
Other firms respond by setting prices high.
• High Y g high P
• When income is high, the demand for goods is high. Firms with flexible prices set prices high.
• The greater the fraction of flexible-price firms, the smaller is s and the bigger the
effect of ΔY on P.
-
-
1
= +
s a
P EP Y Y
s
( )
( )
THE STICKY-PRICE MODEL, PART 6
• Finally, derive the AS equation by solving for Y :
-
-
1
= +
s a
P EP Y Y
s
( )
( )
AS CURVE
-
= + ( ),
Y Y α P EP
-
where = >0
(1 )
s
α
s a
THE IMPERFECT-INFORMATION MODEL, PART 1
¡ Assumptions:
• All wages and prices are perfectly flexible, and all markets are clear.
• Each supplier produces one good and consumes many goods.
• Each supplier knows the nominal price of the good they produce but does
not know the overall price level.
THE IMPERFECT-INFORMATION MODEL, PART 2
• The supply of each good depends on its relative price: the nominal price of
the good divided by the overall price level.
• The supplier doesn’t know price level at the time the make their production
decision so they use EP.
• Suppose P rises but EP does not.
• Supplier thinks their relative price has risen, so they produce more.
• With many producers thinking this way, Y will rise whenever P rises above EP.
AS & AS-AD CURVE GRAPHICALLY
SUDDEN INCREASE IN CONSUMER CONFIDENCE
QUESTION FORYOU: SUDDEN DECREASE IN EXPORT DEMAND
THE PHILIPS CURVE
REMINDER: UNEMPLOYMENT
TYPES OF UNEMPLOYMENT
¡ Divide unemployment into three categories
¡ Frictional
¡ Structural
¡ Cyclical
NATURAL LEVEL OF UNEMPLOYMENT
u U-rate = frictional + structural + cyclical
uThe Natural Rate of Unemployment is the unemployment rate that would prevail if the economy
was neither in a boom nor a recession:
INFLATION, UNEMPLOYMENT,AND THE PHILLIPS CURVE
¡ The Phillips curve states that π depends on:
• expected inflation, Eπ
• cyclical unemployment: the deviation of the actual rate of unemployment (u) from the natural rate (un)
• supply shocks, ν (Greek letter nu).
¡ where β > 0 is an exogenous constant.
- -
= ( ) +
E u u ν
n
π π β
DERIVING THE PHILLIPS CURVE FROM SRAS
-
(1) = + ( )
Y α P EP
Y
-
(2) = +(1 )( )
P EP α Y Y
-
(3) = +(1 )( )+
P EP α Y Y ν
- -
- - -
1 1
(4)( )=( )+(1 )( )+
P P EP P α Y Y ν
-
(5) = +(1 )( )+
E α Y Y ν
π π - - -
(6)(1 )( ) = ( )
n
α Y Y β u u
- -
(7) = ( ) +
n
E β u u ν
π π
COMPARING SRAS AND THE PHILLIPS CURVES
• SRAS curve:
Output is related to unexpected movements in the price level.
• Phillips curve:
Unemployment is related to unexpected movements in the inflation rate.
-
SRAS : = + ( )
Y Y α P EP
- -
Phillips curve : = ( ) +
n
E β u u ν
π π
ADAPTIVE EXPECTATIONS
• Adaptive expectations: an approach that assumes people form their
expectations of future inflation based on recently observed inflation.
• A simple version:
expected inflation = last year’s actual inflation
• Then, Phillips curve equation becomes
-1
=
Eπ π
- - -
1
= ( ) +
n
π π β u u ν
INFLATION INERTIA
¡ In this form, the Phillips curve implies that inflation has inertia:
• In the absence of supply shocks or cyclical unemployment, inflation will continue
indefinitely at its current rate.
• Past inflation influences expectations of current inflation, which in turn influences the
wages and prices that people set.
- - -
1
= ( ) +
n
π π β u u ν
TWO CAUSES OF RISING AND FALLING INFLATION
• cost-push inflation:
inflation resulting from supply shocks
Adverse supply shocks typically raise production costs and induce firms to raise prices, pushing inflation up.
• demand-pull inflation:
inflation resulting from demand shocks
¡ Positive shocks to aggregate demand cause unemployment to fall below its natural rate, which pulls the
inflation rate up.
- - -
1
= ( ) +
n
π π β u u ν
THE PHILIPS CURVE GRAPHICALLY
EXAMPLE: EXPANSIONARY MONETARY POLICY
QUESTION FORYOU: INCREASE IN NATURAL RATE OF UNEMPLOYMENT
THE SACRIFICE RATIO, PART 1
• To reduce inflation, policymakers can contract aggregate demand, causing unemployment to
rise above the natural rate.
• How?
• The sacrifice ratio measures the percentage of a year’s real GDP that must be forgone to
reduce inflation by 1 percentage point.
• The sacrifice ratio can be estimated using the disinflation episode of the early 1980s in
Canada.
CALCULATING THE SACRIFICE RATIO FOR 1980S DISINFLATION
IN CANADA
• Data:
• Inflation fell by 8.3 percentage points over four years,
• Total cyclical unemployment was 10.5%.
• Okun’s law:
• 1% of unemployment = 3% of lost output
• Thus, 10.5% of cyclical unemployment = 31.5 percentage points of annual GDP.
• Sacrifice ratio = (lost GDP) / (total disinflation)
• = 31.5/8.3 = 3.8 percentage points of GDP were lost for each 1 percentage point reduction in inflation.
THE SACRIFICE RATIO, PART 2
How much GDP must we sacrifice if we want to reduce inflation from 6% to 2%?
This loss could be incurred in one year or spread over several (example: 3.8% loss for each of four years).
The cost of disinflation is lost GDP.
One could use Okun’s law to translate this cost into unemployment.
RATIONAL EXPECTATIONS
¡ Ways of modelling the formation of expectations:
¡ adaptive expectations:
¡ People base their expectations of future inflation on recently observed inflation.
¡ Because inflation has inertia, have to give up output in order to decrease inflation
¡ rational expectations:
¡ People base their expectations on all available information, including information about current and prospective future policies.
¡ May have painless disinflation
PAINLESS DISINFLATION?
• Proponents of rational expectations believe that the sacrifice ratio may be very small as long as agents
incorporate all available information and the policymakers are credible
• Suppose u = un and π = Eπ = 6%, and suppose the Federal Reserve announces that it will do whatever
is necessary to reduce inflation from 6% to 2% as soon as possible.
• If the announcement is credible, then Eπ will fall, perhaps by the full 4 points.
• Then, π can fall without an increase in u.
- -
= ( ) +
E u u ν
n
π π β
C H A P T E R S U M M A R Y, P A R T 1
Two models of aggregate supply in the short run:
¡ sticky-price model
¡ imperfect-information model
¡ Both models imply that output rises above its natural rate when the price level rises above the expected price
level.
C H A P T E R S U M M A R Y, P A R T 2
Phillips curve
¡ derived from the SRAS curve
¡ states that inflation depends on:
¡ expected inflation
¡ cyclical unemployment
¡ supply shocks
¡ presents policymakers with a short-run tradeoff between inflation and unemployment
C H A P T E R S U M M A R Y, P A R T 3
How people form expectations of inflation matters:
¡ adaptive expectations
¡ based on recently observed inflation
¡ implies “inertia”
¡ rational expectations
¡ based on all available information
¡ implies that disinflation may be painless

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Lecture Slides CH 14.pdf

  • 1. AGGREGATE SUPPLY AND SR TRADE-OFF BETWEEN INFLATION AND UNEMPLOYMENT
  • 2. BRIEFLY ABOUT ME ¡ Olga Denislamova ¡ Born and raised in Moscow, Russia ¡ MA in Economics and Political Science from University of Edinburgh (2014) ¡ Ph.D. in Economics from UCSD (2021) ¡ Assistant Teaching Professor at UofT as of 2020: mostly macro & international econ ¡ Research on Macro-Labor and Firm Dynamics: ¡ How important is Intangible Capital (Knowledge Based Capital) for firm growth ¡ The role of skilled workers in firm’s performance ¡ How firms allocate tasks across workers
  • 3. ADMINISTRATIVE STUFF: MATERIAL DELIVERY ¡ Today, on July 6th and July 11th:“normal lectures” ¡ Starting on Wednesday July 13th switch to pre-recorded videos and in-person workshops: ¡ Videos for next week posted on Thursday (2 videos 50-70 mins long each) (except for this week) ¡ You MUST watch them – treatment will differ a little from the textbook, these are your replacement ¡ On Monday and Wednesday, we will have workshops where we will discuss data, news, do group exercises and past exam questions – 50-70 minutes each ¡ After that I will stay behind to answer your questions about the material ¡ Might move the tutorial on Wednesday to an earlier time slot ¡ Why?
  • 4. ADMINISTRATIVE STUFF:ASSESSMENTS ¡ Graded homeworks: ¡ CM short and long answer type questions, for most HWs you will have 50 minutes to complete, scan and upload your answers once you start the HW; 5% grade reduction per 1 minute late. ¡ Available to you Friday noon – due Saturday 11:59am EVERY WEEK ¡ Open book – open notes, NO collaboration allowed ¡ Somewhat of a time crunch ¡ Lowest score dropped automatically ¡ Writing assignment: ¡ Will be up to 1500 words, maybe less ¡ Prompt posted at least two weeks before the deadline ¡ MT3 & Final ¡ 2 hours each, in person, only calculators allowed, no MC ¡ Somewhat cumulative – material builds on the last term
  • 5. ADMINISTRATIVE STUFF: COMMUNICATION ¡ Office Hours: online via zoomThursday 11.10 am-12pm. ¡ Can ask your questions after the workshops ¡ Course email: eco202.denislamova@utoronto.ca ¡ Please use it mostly for administrative stuff, for content questions use Discussion Board, my OH,TA OH,WS ¡ Use o.denislamova@utoronto.ca sparingly
  • 6. BRIEF RECAP:WHERE DO WE STAND IN THE COURSE? ¡ So far – building up to the big model of economic fluctuations and policy response: ¡ IS-LM model to represent equilibria in goods and money markets ¡ Generates AD curve – all the combinations of P andY such that the goods market and the money market in the economy are in equilibrium ¡ The main connection is through the interest rate in the closed economy model (CH. 12) ¡ The main connection is through the exchange rate in the open economy model (CH.13) ¡ Now: ¡ Build the theory of the supply side of the economy – most important short-run tradeoff ¡ Put it all together ¡ Next lecture: ¡ Culmination in the dynamic model
  • 7. CHAPTER 14: AS & INFLATION AND UNEMPLOYMENT IN THE SHORT RUN
  • 8. INTRODUCTION • In previous chapters, we assumed that the price level P was “stuck” in the short run. ¡ This implies a horizontal SRAS curve. • Now, we consider two prominent models of aggregate supply in the short run: ¡ Sticky-price model ¡ Imperfect-information model
  • 9. ¡ Other things equal, Y and P are positively related, so the SRAS curve is upward sloping. ¡ Both models imply: INTRODUCTION, PART 2
  • 10. THE STICKY-PRICE MODEL, PART 1 • Reasons for sticky prices: • long-term contracts between firms and customers • menu costs • firms not wishing to annoy customers with frequent price changes • Assumption: • Firms set their own prices (or have some degree of market power).
  • 11. THE STICKY-PRICE MODEL, PART 2 • An individual firm’s desired price is: ¡ where a > 0. ¡ Suppose there are two types of firms: ¡ firms with flexible prices—set prices as above ¡ firms with sticky prices—must set their prices before they know how P and Y will turn out: - p P a Y Y ( ) !"! # - = + p EP a EY EY ( )
  • 12. THE STICKY-PRICE MODEL, PART 3 ¡ Assume that sticky-price firms expect that output will equal its natural rate. Then, § To derive the aggregate supply curve, first find an expression for the overall price level. § s = fraction of firms with sticky prices. Then, we can write the overall price level as . . . - = + p EP a EY EY ( ) = p EP
  • 13. • Subtract (1 − s)P from both sides: • Divide both sides by s: • Open up the brackets:
  • 14. THE STICKY-PRICE MODEL, PART 5 • High EP g high P • If firms expect high prices, then firms that must set prices in advance will set them high. Other firms respond by setting prices high. • High Y g high P • When income is high, the demand for goods is high. Firms with flexible prices set prices high. • The greater the fraction of flexible-price firms, the smaller is s and the bigger the effect of ΔY on P. - - 1 = + s a P EP Y Y s ( ) ( )
  • 15. THE STICKY-PRICE MODEL, PART 6 • Finally, derive the AS equation by solving for Y : - - 1 = + s a P EP Y Y s ( ) ( )
  • 16. AS CURVE - = + ( ), Y Y α P EP - where = >0 (1 ) s α s a
  • 17. THE IMPERFECT-INFORMATION MODEL, PART 1 ¡ Assumptions: • All wages and prices are perfectly flexible, and all markets are clear. • Each supplier produces one good and consumes many goods. • Each supplier knows the nominal price of the good they produce but does not know the overall price level.
  • 18. THE IMPERFECT-INFORMATION MODEL, PART 2 • The supply of each good depends on its relative price: the nominal price of the good divided by the overall price level. • The supplier doesn’t know price level at the time the make their production decision so they use EP. • Suppose P rises but EP does not. • Supplier thinks their relative price has risen, so they produce more. • With many producers thinking this way, Y will rise whenever P rises above EP.
  • 19. AS & AS-AD CURVE GRAPHICALLY
  • 20. SUDDEN INCREASE IN CONSUMER CONFIDENCE
  • 21.
  • 22. QUESTION FORYOU: SUDDEN DECREASE IN EXPORT DEMAND
  • 25. TYPES OF UNEMPLOYMENT ¡ Divide unemployment into three categories ¡ Frictional ¡ Structural ¡ Cyclical
  • 26. NATURAL LEVEL OF UNEMPLOYMENT u U-rate = frictional + structural + cyclical uThe Natural Rate of Unemployment is the unemployment rate that would prevail if the economy was neither in a boom nor a recession:
  • 27. INFLATION, UNEMPLOYMENT,AND THE PHILLIPS CURVE ¡ The Phillips curve states that π depends on: • expected inflation, Eπ • cyclical unemployment: the deviation of the actual rate of unemployment (u) from the natural rate (un) • supply shocks, ν (Greek letter nu). ¡ where β > 0 is an exogenous constant. - - = ( ) + E u u ν n π π β
  • 28. DERIVING THE PHILLIPS CURVE FROM SRAS - (1) = + ( ) Y α P EP Y - (2) = +(1 )( ) P EP α Y Y - (3) = +(1 )( )+ P EP α Y Y ν - - - - - 1 1 (4)( )=( )+(1 )( )+ P P EP P α Y Y ν - (5) = +(1 )( )+ E α Y Y ν π π - - - (6)(1 )( ) = ( ) n α Y Y β u u - - (7) = ( ) + n E β u u ν π π
  • 29. COMPARING SRAS AND THE PHILLIPS CURVES • SRAS curve: Output is related to unexpected movements in the price level. • Phillips curve: Unemployment is related to unexpected movements in the inflation rate. - SRAS : = + ( ) Y Y α P EP - - Phillips curve : = ( ) + n E β u u ν π π
  • 30. ADAPTIVE EXPECTATIONS • Adaptive expectations: an approach that assumes people form their expectations of future inflation based on recently observed inflation. • A simple version: expected inflation = last year’s actual inflation • Then, Phillips curve equation becomes -1 = Eπ π - - - 1 = ( ) + n π π β u u ν
  • 31. INFLATION INERTIA ¡ In this form, the Phillips curve implies that inflation has inertia: • In the absence of supply shocks or cyclical unemployment, inflation will continue indefinitely at its current rate. • Past inflation influences expectations of current inflation, which in turn influences the wages and prices that people set. - - - 1 = ( ) + n π π β u u ν
  • 32. TWO CAUSES OF RISING AND FALLING INFLATION • cost-push inflation: inflation resulting from supply shocks Adverse supply shocks typically raise production costs and induce firms to raise prices, pushing inflation up. • demand-pull inflation: inflation resulting from demand shocks ¡ Positive shocks to aggregate demand cause unemployment to fall below its natural rate, which pulls the inflation rate up. - - - 1 = ( ) + n π π β u u ν
  • 33. THE PHILIPS CURVE GRAPHICALLY
  • 35. QUESTION FORYOU: INCREASE IN NATURAL RATE OF UNEMPLOYMENT
  • 36. THE SACRIFICE RATIO, PART 1 • To reduce inflation, policymakers can contract aggregate demand, causing unemployment to rise above the natural rate. • How? • The sacrifice ratio measures the percentage of a year’s real GDP that must be forgone to reduce inflation by 1 percentage point. • The sacrifice ratio can be estimated using the disinflation episode of the early 1980s in Canada.
  • 37. CALCULATING THE SACRIFICE RATIO FOR 1980S DISINFLATION IN CANADA • Data: • Inflation fell by 8.3 percentage points over four years, • Total cyclical unemployment was 10.5%. • Okun’s law: • 1% of unemployment = 3% of lost output • Thus, 10.5% of cyclical unemployment = 31.5 percentage points of annual GDP. • Sacrifice ratio = (lost GDP) / (total disinflation) • = 31.5/8.3 = 3.8 percentage points of GDP were lost for each 1 percentage point reduction in inflation.
  • 38. THE SACRIFICE RATIO, PART 2 How much GDP must we sacrifice if we want to reduce inflation from 6% to 2%? This loss could be incurred in one year or spread over several (example: 3.8% loss for each of four years). The cost of disinflation is lost GDP. One could use Okun’s law to translate this cost into unemployment.
  • 39. RATIONAL EXPECTATIONS ¡ Ways of modelling the formation of expectations: ¡ adaptive expectations: ¡ People base their expectations of future inflation on recently observed inflation. ¡ Because inflation has inertia, have to give up output in order to decrease inflation ¡ rational expectations: ¡ People base their expectations on all available information, including information about current and prospective future policies. ¡ May have painless disinflation
  • 40. PAINLESS DISINFLATION? • Proponents of rational expectations believe that the sacrifice ratio may be very small as long as agents incorporate all available information and the policymakers are credible • Suppose u = un and π = Eπ = 6%, and suppose the Federal Reserve announces that it will do whatever is necessary to reduce inflation from 6% to 2% as soon as possible. • If the announcement is credible, then Eπ will fall, perhaps by the full 4 points. • Then, π can fall without an increase in u. - - = ( ) + E u u ν n π π β
  • 41. C H A P T E R S U M M A R Y, P A R T 1 Two models of aggregate supply in the short run: ¡ sticky-price model ¡ imperfect-information model ¡ Both models imply that output rises above its natural rate when the price level rises above the expected price level.
  • 42. C H A P T E R S U M M A R Y, P A R T 2 Phillips curve ¡ derived from the SRAS curve ¡ states that inflation depends on: ¡ expected inflation ¡ cyclical unemployment ¡ supply shocks ¡ presents policymakers with a short-run tradeoff between inflation and unemployment
  • 43. C H A P T E R S U M M A R Y, P A R T 3 How people form expectations of inflation matters: ¡ adaptive expectations ¡ based on recently observed inflation ¡ implies “inertia” ¡ rational expectations ¡ based on all available information ¡ implies that disinflation may be painless