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The Multiplier
A simplified circular flow of income model
A simplified circular flow of income model




                                Cd
A simplified circular flow of income model




Incomes                              Cd
A simplified circular flow of income model




Incomes                              Cd




                                W=S+T+M
A simplified circular flow of income model



                                J=I+G+X




Incomes                              Cd




                                W=S+T+M
The multiplier

The withdrawals and injections
          approach
W, J
   The multiplier: (a) a shift in injections




                                      W

                 a
                                      J1
  O
                Ye1                    Y
W, J
   The multiplier: (a) a shift in injections




                                      W
                            b
                                      J2
                 a
                                      J1
  O
                Ye1        Ye2         Y
W, J
      The multiplier: (a) a shift in injections
                 Multiplier = ∆Y /
                                ∆J
                       = ∆Y / ∆W
                      = c− a / b− c




                                                 W
                                       b
 J2                                              J2
       ∆J             a                     ∆W
 J1                                              J1
                                       c
  O
                     Ye1      ∆Y      Ye2         Y
W, J
      The multiplier: (a) a shift in injections
                 Multiplier = ∆Y /
                                ∆J
                       = ∆Y / ∆W
                      = c− a / b− c
                         = 1/mpw




                                                 W
                                       b
 J2                                              J2
       ∆J             a                     ∆W
 J1                                              J1
                                       c
  O
                     Ye1      ∆Y      Ye2         Y
W, J   The multiplier: (b) a shift in
             withdrawals




                                        W1

               a
                                        J
  O
               Ye1                       Y
W, J   The multiplier: (b) a shift in
             withdrawals




                                        W1
                                        W2
               a      c
                                        J
  O
               Ye1    Ye2                Y
W, J   The multiplier: (b) a shift in
             withdrawals
          Multiplier = ∆Y / ∆W
                    = c −a / a −b




                                        W1
                                        W2
                   a                c
                                        J
              ∆W b
  O
                   Ye1   ∆Y     Ye2      Y
The multiplier

The income and expenditure
         approach
E, W, J   The multiplier: a shift in the
              expenditure curveY
                                    E1




   O             Ye1                       Y
E, W, J   The multiplier: a shift in the
              expenditure curveY E
                                     2

                                    E1




   O             Ye1     Ye2               Y
E, W, J     The multiplier: a shift in the
                     expenditure curveY E
          Multiplier = ∆Y / ∆ J
                                       2
               = c− a / b− a
                                      E1
     c

∆Y
   b
  ∆J
   a




     O                Ye1      Ye2           Y
The multiplier

The multiplier and
 AD / AS analysis
Showing the multiplier effect on the 45o line and AD/AS diagrams




                                       Y
      Cd, W, J
                                           E1




            O                                      Y
                       Y
Showing the multiplier effect on the 45o line and AD/AS diagrams
            P



                                                AS



                              AD1
            O                                        Y
                                       Y
      Cd, W, J
                                           E1




            O                                        Y
                       Y
Showing the multiplier effect on the 45o line and AD/AS diagrams
            P



                                                AS



                              AD1
            O                                        Y
                                       Y   E2
      Cd, W, J
                                           E1




            O                                        Y
                       Y          Y
Showing the multiplier effect on the 45o line and AD/AS diagrams
            P



                                                 AS



                              AD1          AD2
            O                                         Y
                                       Y    E2
      Cd, W, J
                                            E1




            O                                         Y
                       Y          Y

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The multiplier

  • 2. A simplified circular flow of income model
  • 3. A simplified circular flow of income model Cd
  • 4. A simplified circular flow of income model Incomes Cd
  • 5. A simplified circular flow of income model Incomes Cd W=S+T+M
  • 6. A simplified circular flow of income model J=I+G+X Incomes Cd W=S+T+M
  • 7. The multiplier The withdrawals and injections approach
  • 8. W, J The multiplier: (a) a shift in injections W a J1 O Ye1 Y
  • 9. W, J The multiplier: (a) a shift in injections W b J2 a J1 O Ye1 Ye2 Y
  • 10. W, J The multiplier: (a) a shift in injections Multiplier = ∆Y / ∆J = ∆Y / ∆W = c− a / b− c W b J2 J2 ∆J a ∆W J1 J1 c O Ye1 ∆Y Ye2 Y
  • 11. W, J The multiplier: (a) a shift in injections Multiplier = ∆Y / ∆J = ∆Y / ∆W = c− a / b− c = 1/mpw W b J2 J2 ∆J a ∆W J1 J1 c O Ye1 ∆Y Ye2 Y
  • 12. W, J The multiplier: (b) a shift in withdrawals W1 a J O Ye1 Y
  • 13. W, J The multiplier: (b) a shift in withdrawals W1 W2 a c J O Ye1 Ye2 Y
  • 14. W, J The multiplier: (b) a shift in withdrawals Multiplier = ∆Y / ∆W = c −a / a −b W1 W2 a c J ∆W b O Ye1 ∆Y Ye2 Y
  • 15. The multiplier The income and expenditure approach
  • 16. E, W, J The multiplier: a shift in the expenditure curveY E1 O Ye1 Y
  • 17. E, W, J The multiplier: a shift in the expenditure curveY E 2 E1 O Ye1 Ye2 Y
  • 18. E, W, J The multiplier: a shift in the expenditure curveY E Multiplier = ∆Y / ∆ J 2 = c− a / b− a E1 c ∆Y b ∆J a O Ye1 Ye2 Y
  • 19. The multiplier The multiplier and AD / AS analysis
  • 20. Showing the multiplier effect on the 45o line and AD/AS diagrams Y Cd, W, J E1 O Y Y
  • 21. Showing the multiplier effect on the 45o line and AD/AS diagrams P AS AD1 O Y Y Cd, W, J E1 O Y Y
  • 22. Showing the multiplier effect on the 45o line and AD/AS diagrams P AS AD1 O Y Y E2 Cd, W, J E1 O Y Y Y
  • 23. Showing the multiplier effect on the 45o line and AD/AS diagrams P AS AD1 AD2 O Y Y E2 Cd, W, J E1 O Y Y Y