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Theory of Multiplier
Total increase in income is much larger than
the original increase in investment because
one mans income expenditure is other mans
income
K= Y
I
K= Multiplier
Y= Incremental income
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I= Incremental investment
Y = I
I I-MPCMPC= Marginal propensity to consume
K= I
MPSMPS = Marginal propensity to save.
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Multiplier : A numerical example
Round of
spending
Increase in
spending (Rs.cr.)
Cumulative Total
Initial increase 100.0 100
2 80.0 180
3 64.0 244
4 51.2 295.2
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5 41.0 336.2
6 32.8 369.0
7 26.2 395.2
8 21.0 416.2
9 16.8 433.0
10 13.4 446.4
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(Assuming MPS= 80% or 0.8%)
11 to 20combined 47.9 494.3
All others 5.7 500
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Investment multiplier= increase in GDP thatwould result from a Rs. I increase in
expenditure (say on investment by Govt) Ripple effect
Multiplier= I
I-MPCI C S
100 65 35
65 42.25 22.7542.25
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100x I = Rs.285.71
I-0.65
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Assumptions
1. MPC remains constant
2. There is no time lag between the investment and
the resultant increase in income.
3. Presence of excess capacity in consumer goodsindustries.
4. Keynesian multiplier does not fully work in
developing economies like India due to lack of excesscapacity in wage goods industries.
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Inferences of the principle of investment
multiplier
1. Govt. investment financed by borrowing (and nottaxation) could boost aggregate demand by a higheramount than initial spending
2. An increase in MPC will result in an increase in
the value of multiplier. 3. If investment is financed by tax, the multiplier
would be equal to I. It is called Balanced BudgetMultiplier.
4. It is assumed that household, do not hoardmoney.
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Leakage in the multiplier process
1. Saving is a leakage. Therefore multiplier is lessthan infinity.
2. Paying off debts
3. Holding of idle cash 4. Imports
5. Taxation-Can be offset through increase in publicexpenditure
6. Impact of inflation/ deflation can cause a gapbetween working of multiplier in money terms andin real terms.
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Foreign Trade Multiplier is the ratio of
resulting increase in gross domestic product
(GDP) to an addition to net exports (Exports-Imports)
Trade adjusted multiplier would be smaller or
bigger depending on the role external sector(net exports) play in the economy. Higher the
export demand, higher would be foreign
trade multiplier and vice versa.
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Simple Keynesian Multiplier Model
Spend more, employ more
Run Government deficits at less than full
employment to boost employment
Run Foreign Trade Surpluses
Raise the propensity to consume
Is growth promoted by equality orinequality?
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How do we alter propensity to consume?
Social safety net
Wealth effect
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Limitations of the Multiplier
1. Leakages from the incomestream:
2. Availability of consumer goods:
3. Time lags:
4. Full employment ceiling:
5. Effect of induced consumption
on investment:
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Multiplier and Underdeveloped
Economies
1. Involuntary unemployment:
2. Elastic supply:
3. Excess capacity in consumer goodsindustries:
4. Elastic supply of capital:
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My conclusion, therefore, is that
multiplier principle as enunciated by
Keynes does not operate in regard tothe problem of diminishing
unemployment and increasing output in
an underdeveloped economy, anincrement of investment based on
deficit financing tending to lead more to
an inflationary rise in prices than to anincrease in output and employment.
V.K.R.V Rao
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