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Macro Economics




                    Notes          10.  According to the ______________ multiplier  G leads to 1/MPS times change in income.
                                   11.  In a __________ economy, savings have to equal investments in equilibrium.

                                   7.3 Static and Dynamic Multiplier

                                   Depending  on the purpose of  analysis, sometimes  a distinction  is made between the  static
                                   multiplier and the dynamic multiplier. The static multiplier is also called ‘comparative static
                                   multiplier’,  ‘simultaneous multiplier’,  ‘logical  multiplier,’  ‘timeless  multiplier.’  ‘lagless
                                   multiplier* and ‘instant multiplier’.
                                   The concept of static multiplier  implies that change in investment causes change in income
                                   instantaneously. It means that there is no time lags between the chances in invest merit and the
                                   change in income. It implies that the moment a rupee is spent on investment projects, society’s
                                   income increases by a multiple of   1. The concept of multiplier explained in the preceding
                                   section is that  of static multiplier. Let us explain the concept of the  dynamic multiplier also
                                   known as ‘period’ and ‘sequence’ multiplier.

                                   The concept of dynamic multiplier recognises the fact that the overall change in income as a
                                   result of the change in investment is not instantaneous. There is a gradual process by which
                                   income changes  as a  result of  change in investment or other determinants  of income. The
                                   process  of change  in income involves time  lags. The multiplier process  works through the
                                   process of income generation and consumption expenditure. The dynamic multiplier takes into
                                   account the dynamic process of the change in income and the change in consumption at different
                                   stages due to change  in investment. The dynamic  multiplier is essentially a  stage-by-stage
                                   computation of the change in income resulting from the change in investment till the full effect
                                   of the multiplier is realized.
                                   The process of dynamic multiplier is described below.


                                          Example:  Suppose MPC =0.80 and  autonomous investment increases by   100  (i.e.
                                    I  100 ), all other things remaining the same. When an autonomous investment expenditure
                                   of   100 is made on the purchase of capital equipment and labour, the income of the equipment
                                   and labour sellers increases by   100, in the first instance. Let us call it  ΔY . Those who receive
                                                                                              1
                                   this income, spend   80 (=100*0.80). As a result, income of those who supply consumer goods
                                   increases by   80. Let it be called  ΔY . They spend a part of it   80*0.80= 64. This creates  ΔY .
                                                                                                              3
                                                                2
                                   This process continues until additional income and expenditure are reduced to zero. The whole
                                   process of the computation of the total increase in income  ΔY  as a result of  ΔI  =   100 can be
                                   summarized as follows:

                                                         ΔY= ΔY   ΔY   ΔY  .................. ΔY
                                                               1    2    3              n-1
                                   In numerical terms,
                                                             = 100+100(0.8)+100+100+………..+100
                                                             = 100+80+64+51.20+……..+0
                                                             = 499.999=500
                                   After having calculated the total income effect (K), the multiplier can be calculated as:
                                                                    ΔY  500
                                                                             5
                                                                    ΔI  100






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