Skip to content
Finance Calc Kit
Business

Marginal Propensity to Save Calculator

Calculate Marginal Propensity to Save (MPS), Marginal Propensity to Consume (MPC), and multiplier from income and savings changes.

Income and savings

$
$
$
$

Marginal propensity to save (MPS)

0.2500

25.0% of incremental income is saved

Marginal propensity to consume (MPC)

0.7500

75.0% spent

Savings multiplier

4.00x

1 ÷ MPS

Change in income (ΔY)

$10,000.00

Change in savings (ΔS)

$2,500.00

Change in consumption (ΔC)

$7,500.00

Incremental income allocation

  • Savings$2,500.0025.0%
  • Consumption$7,500.0075.0%
Report tool

Marginal propensity to save and the savings multiplier

Marginal propensity to save (MPS) measures what fraction of an additional dollar of income households set aside rather than spend. It is the mirror image of marginal propensity to consume (MPC): together they sum to 1 in the simplest closed-economy model. Higher MPS means more income is retained, which lowers the spending multiplier but builds household balance sheets faster.

Enter before-and-after income and savings levels, or supply the direct changes (ΔY and ΔS). The calculator returns MPS, MPC, the savings multiplier, and implied consumption change. For the consumption-side view, use the marginal propensity to consume calculator. At the national level, aggregate private savings from GDP, taxes, and consumption are computed with the private savings calculator.

MPS and multiplier formulas

MPS=ΔSΔY\mathrm{MPS} = \frac{\Delta S}{\Delta Y}
MPC=1−MPS\mathrm{MPC} = 1 - \mathrm{MPS}
Savings Multiplier=1MPS\text{Savings Multiplier} = \frac{1}{\mathrm{MPS}}

The savings multiplier shows how much total saving rises when autonomous saving increases by one dollar. It is the reciprocal of MPS, just as the spending multiplier is the reciprocal of MPS in the consumption framework (1 ÷ MPS = 1 ÷ (1 − MPC)).

Worked example

Income rises from $50,000 to $60,000 while savings increase from $10,000 to $12,500. ΔY = $10,000 and ΔS = $2,500, so MPS = 0.25. MPC = 0.75 and the savings multiplier = 4. The implied consumption increase is ΔC = $7,500.

Frequently asked questions

What is a typical MPS for U.S. households?
MPS varies by income, age, and economic conditions. Higher-income households often save a larger share of marginal income. Aggregate short-run MPS estimates frequently fall between 0.1 and 0.4.
How does MPS relate to MPC?
In the basic model without taxes or imports, MPS + MPC = 1. Every extra dollar of income is either consumed or saved. Use the MPC calculator when you track spending directly.
Can MPS be negative?
Negative MPS would mean households save less when income rises, typically by drawing down savings or borrowing. This can occur temporarily but is uncommon as a sustained aggregate pattern.
Why does a higher MPS lower the spending multiplier?
When more of each income dollar is saved, less circulates through consumption demand. Fiscal stimulus and transfers have smaller GDP effects when recipients have high MPS.

Resources and references

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