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Spending Multiplier Calculator

Calculate the Keynesian spending multiplier using marginal propensity to consume (MPC) or save (MPS) to understand how government spending impacts GDP.

Fiscal policy inputs

$

Derived MPS: 0.20

Derived MPC: 0.80

Spending multiplier

5.00

MPS = 0.20, MPC = 0.80

Total GDP impact

$5,000.00

$1,000.00 × 5.00

Marginal propensity to save

20.00%

How the spending multiplier is calculated

From MPC or MPS to the Keynesian fiscal multiplier and total economic impact.

  1. Find marginal propensity to save (MPS)

    MPS=1MPC=10.80=0.20\text{MPS} = 1 - \text{MPC} = 1 - 0.80 = 0.20

    MPS equals 1 minus MPC: 1 - 0.80 = 0.20.

  2. Calculate the spending multiplier

    Multiplier=1MPS=10.20=5.00\text{Multiplier} = \frac{1}{\text{MPS}} = \frac{1}{0.20} = 5.00

    Multiplier equals 1 divided by MPS.

  3. Estimate total GDP impact

    Impact=1000×5.00=5000\text{Impact} = 1000 \times 5.00 = 5000

    Multiply initial government spending by the multiplier.

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What is the Keynesian spending multiplier?

The spending multiplier estimates how much total economic output (GDP) changes when government spending increases by one dollar. In Keynesian economics, an initial injection of spending circulates through the economy as households consume a portion of each dollar received and save the rest, creating a chain of additional spending.

Pair this tool with the MPC calculator to explore marginal propensity to consume. To model how money supply changes affect the economy, try the money multiplier calculator. For broader macro context, use the GDP calculator.

Spending multiplier formula

Multiplier=1MPS=11MPC\text{Multiplier} = \frac{1}{\text{MPS}} = \frac{1}{1 - \text{MPC}}

Where MPC\text{MPC} is marginal propensity to consume and MPS\text{MPS} is marginal propensity to save. Total GDP impact equals the multiplier times initial government spending.

Worked example

If MPC is 0.8, then MPS equals 1 minus 0.8, or 0.2. The spending multiplier is 1 divided by 0.2, which equals 5. A $1,000 increase in government spending could raise GDP by $5,000 under these assumptions, before taxes, imports, and other leakages reduce the effect in real economies.

Practical limitations

  • Real multipliers are smaller when taxes, savings, and imports leak spending out of the domestic circular flow.
  • Timing matters. Multipliers are strongest when the economy has idle capacity.
  • Fiscal policy effects depend on how spending is financed and whether households expect future tax increases.

Frequently asked questions

What is marginal propensity to consume (MPC)?
MPC is the fraction of an additional dollar of income that households spend on consumption. If MPC is 0.8, households spend 80 cents and save 20 cents of each extra dollar.
Why must MPS be between 0 and 1?
If MPS is zero, every dollar is consumed and the multiplier would be infinite, which is unrealistic. If MPS is 1, nothing is consumed and the multiplier is 1, meaning no additional rounds of spending occur.
Does government spending always boost GDP by the full multiplier?
No. Taxes, imports, debt repayment, and inflation can reduce the effective multiplier. Economists often estimate smaller multipliers in practice than the simple textbook formula.
Can I enter MPS instead of MPC?
Yes. Toggle the input mode to enter either MPC or MPS directly. The calculator derives the other value automatically.
Are my inputs saved?
No. Calculations run in your browser. Changing fields updates the URL so you can share your scenario.

Resources and references

The formulas and methods in this calculator were checked against these independent sources.