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INTRO TO MACROECONOMICS
Tutorial 4


Raj.Chande@bristol.ac.uk
EQUILIBRIUM: GET USED TO THE CONCEPT
   Economic equilibrium is a state of the world where
    economic forces are balanced and in the absence of
    external influences the (equilibrium) values of economic
    variables will not change (Wikipedia).

   Many questions will follow this format:

    Equilibrium > Disturbance > Transition >

    New Equilibrium

   Explain the transition and describe the differences
    between the two equilibria
Q)1)

   Start at an equilibrium. How do we know it is an
    equilibrium?

    Because Z = Y

   Disturbance?

    An increase in G is the best example of a
    disturbance. Why?
OK... SO NOW WHAT? TRANSITION
 A 1 unit increase in G leads to a 1 unit increase in
  Y, the extra unit on government production has to
  be received by someone as income
 But a 1 unit increase in Y leads to an increase in C
  by c1 (c1 x 1 unit) which means Y has increased by
  c1, which means C will increase by c1 x c1 and so
  on and so on.
 Each increase in Y is smaller than the last, so we
  converge to a new equilibrium level of Y
 The ultimate increase in Y as a result of a 1 unit
  increase in G is 1/(1-c1)
 In this case, 1/(1-c1) is the Keynesian Multiplier
JUST TO REPEAT
 EQUILIBRIUM:             Z0 = Y0

 DISTURBANCE:             ΔG

 TRANSITION:              Δ Y > Δ C > smaller Δ Y...

 NEW EQUILIBRIUM:         Z1 = Y1

 (Y1-Y0) = Δ G / (1-c1)
2) GENERALLY GOOD
   Write the equation each time, dull but necessary

iii)     Δ Y = Δ G / (1-c1)

        So if Δ Y = 100, then 100 = Δ G / (1-0.75)

        Δ G = 25

        Tax equivalent? Δ Y = -c1(Δ T)/(1-c1)

         Δ T = -33.33
2)IV)
   Now taxes are:

    T = 80 + 0.25Y    Note that T=f(Y)

    Equilibrium income (Y = Z) is now:

    Y = 60 + 0.75(Y – 80 – 0.25Y) + G + I

    So now each increase in C leads to a smaller
    increase in Y.

    Y = 250/0.4375 = 571.43
KM IS NOT ALWAYS THE MPC
 In the second case, T=f(Y)
 If Y increases, there is less Y left for C after taxes,
  i.e. Yd is lower than it would have been before
 The new multiplier is actually 2.29, lower than
  before

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Macro4

  • 1. INTRO TO MACROECONOMICS Tutorial 4 Raj.Chande@bristol.ac.uk
  • 2. EQUILIBRIUM: GET USED TO THE CONCEPT  Economic equilibrium is a state of the world where economic forces are balanced and in the absence of external influences the (equilibrium) values of economic variables will not change (Wikipedia).  Many questions will follow this format: Equilibrium > Disturbance > Transition > New Equilibrium  Explain the transition and describe the differences between the two equilibria
  • 3. Q)1)  Start at an equilibrium. How do we know it is an equilibrium? Because Z = Y  Disturbance? An increase in G is the best example of a disturbance. Why?
  • 4. OK... SO NOW WHAT? TRANSITION  A 1 unit increase in G leads to a 1 unit increase in Y, the extra unit on government production has to be received by someone as income  But a 1 unit increase in Y leads to an increase in C by c1 (c1 x 1 unit) which means Y has increased by c1, which means C will increase by c1 x c1 and so on and so on.  Each increase in Y is smaller than the last, so we converge to a new equilibrium level of Y  The ultimate increase in Y as a result of a 1 unit increase in G is 1/(1-c1)  In this case, 1/(1-c1) is the Keynesian Multiplier
  • 5. JUST TO REPEAT EQUILIBRIUM: Z0 = Y0 DISTURBANCE: ΔG TRANSITION: Δ Y > Δ C > smaller Δ Y... NEW EQUILIBRIUM: Z1 = Y1 (Y1-Y0) = Δ G / (1-c1)
  • 6. 2) GENERALLY GOOD  Write the equation each time, dull but necessary iii) Δ Y = Δ G / (1-c1) So if Δ Y = 100, then 100 = Δ G / (1-0.75) Δ G = 25 Tax equivalent? Δ Y = -c1(Δ T)/(1-c1) Δ T = -33.33
  • 7. 2)IV)  Now taxes are: T = 80 + 0.25Y Note that T=f(Y) Equilibrium income (Y = Z) is now: Y = 60 + 0.75(Y – 80 – 0.25Y) + G + I So now each increase in C leads to a smaller increase in Y. Y = 250/0.4375 = 571.43
  • 8. KM IS NOT ALWAYS THE MPC  In the second case, T=f(Y)  If Y increases, there is less Y left for C after taxes, i.e. Yd is lower than it would have been before  The new multiplier is actually 2.29, lower than before