Page 3 - lesson note--Income Determination and Multiplier44b
P. 3

In the diagram it is observed that

                                                                                             |
                                                                                                     ˈ
                   •  With an additional investment, ∆   equilibrium point shifts to    on      .
                   •  Equilibrium level of national income increases to O    from O  
                                                                                  2
                                                                                              1.
                   •  The additional income        is greater than additional investment        due
                                                                                                1 2
                                                  1 2
                       to multiplier effect.

                                                  ∆          
                                                         1 2
                                               =      =
                                                  ∆           
                                                         1 2
               Relationship between MPC and Multiplier

               The economy attends equilibrium at the point where:


                                                            =     
                                                       =    +   

                                                   =>  ∆   = ∆   + ∆  

                                                           ∆     ∆  +∆  
                                                   =>         =
                                                           ∆      ∆  
                                                               ∆     ∆  
                                                   =>  1=         +
                                                               ∆     ∆  
                                                                        ∆  
                                                   =>  1=        +
                                                                        ∆  
                                                                        ∆  
                                                   =>  1−       =
                                                                        ∆  
                                                              1      ∆  
                                                   =>             =
                                                           1−        ∆  

                                                                                  1
               From the above equation it is observed that:                 =
                                                                               1−      

                   •  There always exists a direct relationship between MPC and Multiplier.

                   •  When MPC =1, then multiplier is at its maximum i.e. ∞ (infinite)

                   •  When MPC = 0 then multiplier is a its minimum i.e. 1.


               Relationship between MPS and Multiplier: -

                                                 1
                       It is known that    =
                                               1−      
                                                 1
                                     =>    =                      (AS, 1 −        =       )
                                                      
                   •  There always exists an inverse relationship between MPS and Multiplier.
                   •  When MPS = 1, then multiplier is at its minimum. 1.
                   •   When MPS = 0, then multiplier is at its maximum. ∞ (infinite).
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