MPC Calculator

Find the marginal propensity to consume from a change in income and a change in consumption, along with the marginal propensity to save and the implied spending multiplier.

Quick Facts

Formula
MPC = ΔC / ΔY
Change in consumption divided by change in income - the standard Keynesian definition.
Typical range
0 to 1
0 means none of a new dollar of income is spent; 1 means all of it is spent and none is saved.
Spending multiplier
1 / (1 − MPC)
The simple multiplier used in basic Keynesian models of a spending or tax change.

Your Results

Calculated
MPC
-
ΔConsumption / ΔIncome
MPS
-
Marginal propensity to save: 1 − MPC
Spending multiplier
-
1 / (1 − MPC)
Change in saving
-
ΔIncome − ΔConsumption

Ready

Enter initial and new income and consumption, then press Calculate.

How the MPC Calculator works

The marginal propensity to consume (MPC) is a core concept from Keynesian economics that measures how much of every extra dollar of income a household, group, or economy spends rather than saves. This calculator applies the standard textbook definition to whatever income and consumption figures you enter, then derives the marginal propensity to save and the simple spending multiplier that follow directly from it.

The formula

MPC is the change in consumption divided by the change in income:

MPC = ΔC / ΔY

where ΔC is new consumption minus initial consumption, and ΔY is new income minus initial income. Enter an initial and a new value for income and for consumption, and the calculator computes both deltas and divides them for you.

Worked example

Suppose income rises from $50,000 to $60,000 (ΔY = $10,000) and consumption rises from $45,000 to $52,000 (ΔC = $7,000). Then MPC = 7,000 / 10,000 = 0.70. In other words, about 70 cents of every additional dollar of income was spent, and the remaining 30 cents was saved.

MPS and the spending multiplier

The marginal propensity to save, MPS, is simply the leftover share of new income: MPS = 1 − MPC. Because every extra dollar is, in this simple framework, either spent or saved, MPC and MPS always add to 1.

In the simple Keynesian multiplier model, an initial injection of spending circulates through the economy as each round of recipients spends a share (the MPC) of what they receive. Summing that geometric series gives the spending multiplier:

Multiplier = 1 / (1 − MPC) = 1 / MPS

With MPC = 0.70, the multiplier is 1 / 0.30 ≈ 3.33 — a common textbook illustration of why a higher MPC amplifies the effect of stimulus spending more than a lower one.

Reading the range

MPC normally falls between 0 and 1. Lower-income households, which have less room to save, tend to show an MPC closer to 1 (they spend nearly all of an extra dollar). Higher-income households, or economies during uncertain times, often show a lower MPC as more of each new dollar goes to savings. A calculated MPC below 0 or above 1 is unusual — it typically means consumption moved in the opposite direction from income, or grew by more than the income change itself, and is worth double-checking against the source data before drawing conclusions.

Assumptions and limits

This calculator performs the standard two-point MPC calculation from a single before/after pair of income and consumption figures; it does not estimate MPC from a full time series or regression, and it does not account for taxes, transfers, or the distinction between average and marginal propensities across an entire population. Real-world MPC estimates used in economic research typically come from panel data or natural experiments and can vary by income level, wealth, and how temporary or permanent the income change is expected to be. Treat this tool as a way to compute the textbook ratio from your own numbers, not as a substitute for empirical estimation.

Frequently Asked Questions

What is the formula for marginal propensity to consume?
MPC = change in consumption / change in income, written as MPC = ΔC / ΔY. It measures the fraction of each extra dollar of income that a household or economy spends on consumption rather than saves. Enter an initial and a new income figure along with the matching initial and new consumption figures, and the calculator finds the deltas and divides them.
What is a typical MPC value?
MPC normally falls between 0 and 1. A value near 1 means almost all new income is spent (common for lower-income households with little slack); a value near 0 means most new income is saved. A value outside 0 to 1 usually signals unusual data, such as consumption falling while income rises, rather than a normal spending pattern.
How is MPS related to MPC?
The marginal propensity to save, MPS, is the leftover share of new income: MPS = 1 − MPC. Together, MPC and MPS always add to 1, since every extra dollar of income is, by definition, either spent or saved in this simple two-way split.
How does MPC relate to the spending multiplier?
In the simple Keynesian model, an initial injection of spending ripples through the economy as each recipient spends a share (the MPC) of what they receive. The resulting spending multiplier is 1 / (1 − MPC), equivalently 1 / MPS. A higher MPC produces a larger multiplier because more of each dollar keeps circulating instead of leaking into savings.