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Economics

Keynesian Multiplier

How an initial spending injection cascades into larger GDP change.

When the marginal propensity to consume (MPC) is 0.8, each $1 of government spending circulates into $5 of total demand. The multiplier shrinks with higher saving or import leakage. It underpins the case for fiscal stimulus in recessions.

Formula / theory

k = 1 / (1 − MPC)
ΔGDP = k × ΔSpending

In Python

multiplier = 1 / (1 - mpc)
delta_gdp = multiplier * fiscal_injection

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