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Exercises · Q10

Q.What is the marginal propensity to import when M=60+0.06 YM = 60 + 0.06\,Y? What is the relationship between the marginal propensity to import and the aggregate demand function?

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The marginal propensity to import (MPM) is the slope of the import function with respect to income — here, 0.06. It directly reduces the slope of the aggregate demand function, making it flatter than the consumption function alone.

The marginal propensity to import (MPM) tells us how much additional spending on imports is induced when national income rises by one unit. In the given import function

M=60+0.06 Y,M = 60 + 0.06\,Y,

the constant term 60 represents autonomous imports — imports that occur even when income is zero (e.g., essential raw materials or contracted purchases). The coefficient of YY, which is 0.06, is the marginal propensity to import. It means that for every ₹1 increase in national income, imports rise by ₹0.06.

MPM=ΔMΔY=0.06\text{MPM} = \frac{\Delta M}{\Delta Y} = 0.06

Now, why does this matter for the aggregate demand function? In a simple Keynesian model with imports, aggregate demand (AD) is:

AD=C+I+G+(X−M).AD = C + I + G + (X - M).

If we write the consumption function as C=Cˉ+cYC = \bar{C} + cY (where cc is the marginal propensity to consume), and the import function as M=Mˉ+mYM = \bar{M} + mY (where mm is the MPM), then AD becomes:

AD=Cˉ+cY+I+G+X−Mˉ−mY.AD = \bar{C} + cY + I + G + X - \bar{M} - mY.

Group the autonomous terms together: A=Cˉ+I+G+X−MˉA = \bar{C} + I + G + X - \bar{M}. Then

AD=A+(c−m)Y.AD = A + (c - m)Y.

Watch out

A common mistake is to think the slope of AD is just cc. It is actually c−mc - m, because imports leak out of the circular flow — they represent spending that does not return to domestic producers. …

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