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INTRO TO MACROECONOMICS
Exercise 9       Twitter: @RajEcon
www.rajchandeteaching@blogspot.com
Raj.Chande@bristol.ac.uk
YOUR WORK
 I am a bit behind. All will be back to normal by next
  week
 Please return your assignments to me today
Q1)

 Important that you can tell this story, distinguishing
  between SR and LR effects will be crucial from now
  on
 Might help you to think about what you‟ve been
  learning in Micro when answering questions like
  this
 Once you‟ve got your head round the SRAS/LRAS
  story, you are more or less home-free
1) CTD
 SRAS shows the average price of goods and
  services set by firms as a function of the aggregate
  level of output they are producing.
 Conventionally drawn with output on the horizontal
  axis and avg prices on the vertical.
 What defines „short-run‟ in this model? Time?
1)CTD
 No, not time. At any given moment, workers have a
  particular expected price level, Pe
 As long as workers‟ retain that specific expected
  price level, the economy is in the short run
 There is therefore one SRAS curve for each
  possible expected price level
 The curve is based on two relationships

 First, the wage bargaining equation, which states
  that the lower the unemployment rate, the greater
  bargaining power workers have
 Second, firms price setting behaviour. Firms set
  prices by applying a mark-up over costs (wages)
1) CTD
 As firms produce more output, they will need to hire
  more workers, thus lowering the unemployment
  rate.
 To entice the work force to supply more
  labour, firms will have to offer a higher nominal
  wage
 Firms will then raise the prices of their
  goods, causing an increase in the average price
  level in the economy
 Of course, this now means that workers‟ expected
  prices are incorrect, but we will come back to that in
  a moment...
1) LRAS
 LRAS shows relationship between P and Y on
  assumption that workers‟ expectations are correct
  (P=Pe)
 There can only be one level of output that meets
  this condition, we will call this Yn
 If Y > Yn , unemployment is lower than the natural
  rate, firms will have to offer higher nominal
  wages, but then they will have to raise their prices
 If Y < Yn , we get the opposite story

 Once price expectations are equal to actual
  prices, we will always return to Yn
Q2)
 If the economy is initially operating below Yn the AD
  curve cuts the relevant SRAS curve at a price level
  below the expected price level.
 With no change in the position of the AD curve
  there would be a tendency for Pe to drop (since
  P < Pe) and hence for P to drop, causing the
  economy to slide down its AD curve eventually
  reaching Yn
 The economy will eventually return to its natural
  level of output all by itself. Why might a policymaker
  not be satisfied with this?
2)CTD
 This might take too long. If an election is coming in
  six months and adjustment will take a year, a
  government might decide to do something about it
 Not always such a cynical motive. It is also possible
  that time is important, as people are out of
  work, their productivity is falling. The sooner they
  get back to work, the better
 So, what can the government do?
2) CTD
 If SRAS takes too long to adjust, government can
  try and shift AD.
 Many ways to do this, increase real money
  supply, increase government spending, but in this
  example, you are asked to consider impact of a
  devaluation
 So what will a devaluation do to the AD curve?
  What condition must hold to answer this question?
YES
 The Marshall-Lerner condition must hold.
 Mathematical derivation is on Handout 8, but
  intuition is important
 A weaker £ must (eventually) lead to an increase in
  net exports, otherwise the devaluation will have
  made things worse
3) YOU MIGHT BE WONDERING...
 What is the point of this question?
 This example is very abstract, doesn‟t relate to
  anything specific
 But, modeling variables as functions of their own
  lags is important
 This SRAS/LRAS/AD model is introducing
  dynamics for the first time
 Some variables move in the short-term, then return
  back to their long term equilibrium
 Some variables move a lot in the short-term, then
  converge to some new level
 This question is about exploring the maths behind
  that process
3) CTD
 If one of your chosen roots is absolutely greater
  than 1 then the Y will move further away from its
  new “equilibrium” value – the system is dynamically
  unstable.
 If the roots are both absolutely less than one then
  the Y is dynamically stable but you can still get
  some odd patterns.
 Here are some examples:
A0   = 25; R1 = 0.5; R2 = 0.5:
 Yt = 25 + Yt-1 –0.25Yt-2
 Yt = 50 + Yt-1 –0.25Yt-2


                             Yt
     250
     200

     150
     100

      50
       0
           1   3   5   7      9   11   13   15   17   19
A0   = 25; R1 = 0.9; R2 = -1.5:
 Yt = 25 –0.6Yt-1 + 1.35Yt-2
 Yt = 50 –0.6Yt-1 + 1.35Yt-2


                            Yt
      800
      600
      400
      200
       0
     -200   1   3   5   7    9   11   13   15   17   19

     -400
A0   = 25; R1 = 1.5; R2 = 1.5
 Yt = 25 +3Yt-1 –2.25Yt-2
 Yt = 50 +3Yt-1 –2.25Yt-2


                             Yt
     50000
     40000

     30000
     20000
     10000
        0
             1   3   5   7        9   11   13   15   17   19

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B.tech civil major project by Deepak Kumar
 

Macro9

  • 1. INTRO TO MACROECONOMICS Exercise 9 Twitter: @RajEcon www.rajchandeteaching@blogspot.com Raj.Chande@bristol.ac.uk
  • 2. YOUR WORK  I am a bit behind. All will be back to normal by next week  Please return your assignments to me today
  • 3. Q1)  Important that you can tell this story, distinguishing between SR and LR effects will be crucial from now on  Might help you to think about what you‟ve been learning in Micro when answering questions like this  Once you‟ve got your head round the SRAS/LRAS story, you are more or less home-free
  • 4. 1) CTD  SRAS shows the average price of goods and services set by firms as a function of the aggregate level of output they are producing.  Conventionally drawn with output on the horizontal axis and avg prices on the vertical.  What defines „short-run‟ in this model? Time?
  • 5. 1)CTD  No, not time. At any given moment, workers have a particular expected price level, Pe  As long as workers‟ retain that specific expected price level, the economy is in the short run  There is therefore one SRAS curve for each possible expected price level  The curve is based on two relationships  First, the wage bargaining equation, which states that the lower the unemployment rate, the greater bargaining power workers have  Second, firms price setting behaviour. Firms set prices by applying a mark-up over costs (wages)
  • 6. 1) CTD  As firms produce more output, they will need to hire more workers, thus lowering the unemployment rate.  To entice the work force to supply more labour, firms will have to offer a higher nominal wage  Firms will then raise the prices of their goods, causing an increase in the average price level in the economy  Of course, this now means that workers‟ expected prices are incorrect, but we will come back to that in a moment...
  • 7. 1) LRAS  LRAS shows relationship between P and Y on assumption that workers‟ expectations are correct (P=Pe)  There can only be one level of output that meets this condition, we will call this Yn  If Y > Yn , unemployment is lower than the natural rate, firms will have to offer higher nominal wages, but then they will have to raise their prices  If Y < Yn , we get the opposite story  Once price expectations are equal to actual prices, we will always return to Yn
  • 8. Q2)  If the economy is initially operating below Yn the AD curve cuts the relevant SRAS curve at a price level below the expected price level.  With no change in the position of the AD curve there would be a tendency for Pe to drop (since P < Pe) and hence for P to drop, causing the economy to slide down its AD curve eventually reaching Yn  The economy will eventually return to its natural level of output all by itself. Why might a policymaker not be satisfied with this?
  • 9. 2)CTD  This might take too long. If an election is coming in six months and adjustment will take a year, a government might decide to do something about it  Not always such a cynical motive. It is also possible that time is important, as people are out of work, their productivity is falling. The sooner they get back to work, the better  So, what can the government do?
  • 10. 2) CTD  If SRAS takes too long to adjust, government can try and shift AD.  Many ways to do this, increase real money supply, increase government spending, but in this example, you are asked to consider impact of a devaluation  So what will a devaluation do to the AD curve? What condition must hold to answer this question?
  • 11. YES  The Marshall-Lerner condition must hold.  Mathematical derivation is on Handout 8, but intuition is important  A weaker £ must (eventually) lead to an increase in net exports, otherwise the devaluation will have made things worse
  • 12. 3) YOU MIGHT BE WONDERING...  What is the point of this question?  This example is very abstract, doesn‟t relate to anything specific  But, modeling variables as functions of their own lags is important  This SRAS/LRAS/AD model is introducing dynamics for the first time  Some variables move in the short-term, then return back to their long term equilibrium  Some variables move a lot in the short-term, then converge to some new level  This question is about exploring the maths behind that process
  • 13. 3) CTD  If one of your chosen roots is absolutely greater than 1 then the Y will move further away from its new “equilibrium” value – the system is dynamically unstable.  If the roots are both absolutely less than one then the Y is dynamically stable but you can still get some odd patterns.  Here are some examples:
  • 14. A0 = 25; R1 = 0.5; R2 = 0.5:  Yt = 25 + Yt-1 –0.25Yt-2  Yt = 50 + Yt-1 –0.25Yt-2 Yt 250 200 150 100 50 0 1 3 5 7 9 11 13 15 17 19
  • 15. A0 = 25; R1 = 0.9; R2 = -1.5:  Yt = 25 –0.6Yt-1 + 1.35Yt-2  Yt = 50 –0.6Yt-1 + 1.35Yt-2 Yt 800 600 400 200 0 -200 1 3 5 7 9 11 13 15 17 19 -400
  • 16. A0 = 25; R1 = 1.5; R2 = 1.5  Yt = 25 +3Yt-1 –2.25Yt-2  Yt = 50 +3Yt-1 –2.25Yt-2 Yt 50000 40000 30000 20000 10000 0 1 3 5 7 9 11 13 15 17 19