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Income Multiplier Formula: k = 1/(1 − MPC)

What is the formula for the income multiplier?

The income multiplier is a simple way to estimate how a change in spending can ripple through an economy and ultimately change total income. In its most common form (the Keynesian spending multiplier), it’s driven by how much of each additional dollar people tend to spend rather than save.

Answer

The standard formula for the income multiplier is:

Income Multiplier (k) = 1 / (1 − MPC)

where MPC is the marginal propensity to consume, meaning the fraction of an additional dollar of income that households spend on consumption. If MPC is 0.80, then:

k = 1 / (1 − 0.80) = 1 / 0.20 = 5

That result implies a $1 increase in autonomous spending could raise total income by up to $5, assuming the model’s simplified conditions hold.

Another equivalent way to write it uses the marginal propensity to save (MPS):

k = 1 / MPS, because MPS = 1 − MPC.

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For Income Multiplier Formula: k = 1/(1 − MPC), the best answer depends on fit, material, care instructions, and how the product will be used day to day.

Checking those details first helps avoid a poor match and keeps the choice practical after delivery.

For Income Multiplier Formula: k = 1/(1 − MPC), the best answer depends on fit, material, care instructions, and how the product will be used day to day.

Checking those details first helps avoid a poor match and keeps the choice practical after delivery.

For Income Multiplier Formula: k = 1/(1 − MPC), the best answer depends on fit, material, care instructions, and how the product will be used day to day.

FAQ

How is the multiplier different from the accelerator principle?

The multiplier describes how changes in spending can expand total income, while the accelerator principle focuses on how changes in demand can amplify investment spending. One centers on income effects; the other centers on induced investment.