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The function of the investment multiplier is?

Solution

✅ Correct Option: 4

According to NCERT, the investment multiplier is defined as the ratio of the total change in equilibrium output to the initial change in autonomous expenditure.

Investment Multiplier=ΔYΔAˉ\text{Investment Multiplier} = \dfrac{\Delta Y}{\Delta \bar{A}}


Given that autonomous expenditure includes investment,

ΔI=ΔAˉ\Delta I = \Delta \bar{A}

Multiplier=ΔYΔAˉ\text{Multiplier} = \dfrac{\Delta Y}{\Delta \bar{A}}

=ΔYΔI= \dfrac{\Delta Y}{\Delta I}


From NCERT expression:

ΔYΔAˉ=11−c\dfrac{\Delta Y}{\Delta \bar{A}} = \dfrac{1}{1 - c}

where c=mpcc = \text{mpc}


Thus, the investment multiplier is expressed as:

ΔYΔAˉ\dfrac{\Delta Y}{\Delta \bar{A}}


Option 4 is correct.

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