Theory of Multiplier

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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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