The investment multiplier formula is an important concept in macroeconomics that explains how an initial increase in investment spending can lead to a greater final increase in national income and production. By injecting new demand into the circular flow, investment stimulates consumption, which then cycles back as income, creating a multiplying effect. The multiplier depends on the marginal propensity to consume and withdraw. Understanding the mechanics behind the multiplier formula provides insight into how investment boosts economic growth. This article will examine the multiplier formula, how it works through induced consumption, and the factors that influence the multiplier size.

Autonomous expenditure initiates multiplier cycle
The investment multiplier begins with a change in autonomous expenditure, which includes private investment (I), government spending (G), and exports (X). This spending injects new income into the economy, increasing production through the expenditure model. For example, building a new factory directly lifts GDP via the investment. As the factors of production are compensated, this income gets circulated back into the economy. Workers use it for consumption, becoming income for other businesses, which spend and hire more, and so on. This cycle of spending and re-spending propagates through the economy. Thus, the initial autonomous expenditure sets off a multiplier process that boosts total income and output.
Marginal propensity to consume determines multiplier size
The marginal propensity to consume (MPC) determines how much induced consumption occurs with each round of spending, which directly impacts the multiplier size. If MPC is 0.75, then 75% of any new income gets spent while 25% is saved. This means $1 of extra autonomous expenditure produces $0.75 of induced consumption in the next round. As this gets respent, 0.75^2 = $0.5625 gets circulated each subsequent round in progressively smaller increments. The cumulative effect is a $4 total increase in national income for a $1 increase in investment. This demonstrates how a higher MPC leads to a larger multiplier effect, since more income keeps cycling as spending.
Withdrawals and leakages reduce multiplier impact
While the MPC shows how new income circulates as spending, leakages drain income from this multiplier cycle. Savings, taxes, and imports all withdraw income, making it unavailable for domestic expenditure and consumption. This marginal propensity to withdraw (MPW) reduces the multiplier’s circular impact. Taxes remove income from households, savings divert it to financial markets, and imports send it abroad. For example, at a 20% MPW with 0.75 MPC, the multiplier is only $1.25 rather than $4. Minimizing withdrawals through fiscal policy can therefore amplify investment’s multiplier effect.
The investment multiplier formula demonstrates how autonomous expenditure injections induce a positive feedback loop of spending, circulated by the MPC, that amplifies total income. Withdrawals and leakages dampen this circular flow. Understanding the drivers and dynamics of the multiplier provides insight into how investment catalyzes economic growth.