econ.studio

Glossary term

Multiplier Effect

Why an initial change in spending ends up changing total output by a larger amount, as one person's spending becomes another's income. How the multiplier depends on the marginal propensity to consume, with the formula 1/(1 - MPC).

Glossary

Multiplier Effect

The multiplier effect is the idea that one dollar of new spending ends up raising total income by more than a dollar, because each person who receives it turns around and spends part of it. Suppose the government spends 100pavingacampuspath.Thebuildertakesthat100 paving a campus path. The builder takes that 100 and spends 80ofitatlocalshops;thoseshopownersspendpartofthat,andsoon.Eachroundissmallerthanthelast,buttheroundsaddupthetotalboosttoincomeiswellabovetheoriginal80 of it at local shops; those shop owners spend part of *that*, and so on. Each round is smaller than the last, but the rounds add up — the total boost to income is well above the original 100.

More precisely, an initial change in autonomous spending — government spending, investment, or exports — leads to a larger change in equilibrium output through successive rounds of induced consumption. How large depends on the marginal propensity to consume (MPC): the fraction of each extra dollar of income that households spend rather than save. A higher MPC means more is re-spent at every round, so the ripple runs longer and the multiplier is bigger. The tax multiplier is smaller than the spending multiplier, because when taxes are cut, households save part of the windfall instead of spending the whole amount.

k=11MPC=1MPSk = \frac{1}{1 - MPC} = \frac{1}{MPS}
Spending multiplier
The spending multiplier kk equals one divided by one minus the marginal propensity to consume, equivalently one over the marginal propensity to save (MPSMPS), since MPS=1MPCMPS = 1 - MPC. The total change in output is ΔY=k×Δ(spending)\Delta Y = k \times \Delta(\text{spending}).
Marginal propensity to consume (MPC)
The fraction of an extra dollar of income that a household spends. A higher MPC produces a larger multiplier.
Marginal propensity to save (MPS)
The fraction of an extra dollar of income that is saved, MPS=1MPCMPS = 1 - MPC. The multiplier can be written as 1MPS\frac{1}{MPS}.
Autonomous spending
Spending that does not depend on current income — such as government spending or investment. A change in it is what the multiplier acts on.
Tax multiplier
The multiplier on a change in taxes, smaller in size than the spending multiplier because part of a tax change is saved rather than spent.