Finance

Income Elasticity of Demand Calculator

Calculate income elasticity of demand from percentage changes in quantity and income.


Income Elasticity of Demand Calculator

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Find income elasticity of demand — how sensitive demand for a good is to a change in consumer income.

How it works

Income elasticity is the percentage change in quantity demanded divided by the percentage change in income: elasticity = %ΔQuantity ÷ %ΔIncome. A 10% rise in demand from a 5% rise in income gives an elasticity of 2 — demand for this good is quite sensitive to income.

What this does not include

This calculates elasticity between two specific percentage changes — an average or “arc” elasticity — not the theoretical instantaneous elasticity at a single income level.

How to use this calculator

  1. Enter the percentage change in quantity demanded.
  2. Enter the percentage change in income.

A worked example

Quantity demanded rises 10% as income rises 5%: income elasticity = 10 ÷ 5 = 2 — a luxury good, where demand grows faster than income.

Quantity demanded falls 4% as income rises 8%: elasticity = −0.5 — an inferior good, where demand actually declines as income rises.

What the variables mean

Variable Meaning
Quantity change Percentage change in quantity demanded
Income change Percentage change in consumer income

Edge cases worth knowing

A negative elasticity identifies an inferior good — one people buy less of as they get richer (like instant noodles), the opposite of what “inferior” might suggest about quality.

Zero income change makes elasticity undefined — there’s no income movement to compare the quantity change against, so the calculator declines to show a result.

What does a negative income elasticity mean?

The good is an “inferior good” — demand falls as income rises, which happens with goods people buy less of once they can afford better alternatives, like budget staples.

What’s a “normal good” versus a “luxury good” in this context?

A normal good has positive elasticity (demand rises with income); a luxury good typically has elasticity greater than 1, meaning demand rises proportionally faster than income does.

Why is a zero percent change in income undefined?

The formula divides by the income change, so a zero change makes the ratio undefined — there’s no income change to compare the quantity change against.

Important: This is general information, not financial advice. Figures are estimates, and your lender or provider decides the real numbers. Check with a qualified adviser before acting on them.

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Written by

M. Whitfield

Personal finance writer

M. Whitfield writes the personal finance calculators, covering loans, mortgages, savings, tax and investment maths. The focus is on showing exactly which number goes into a formula and which assumptions a result depends on, so readers can tell when a figure applies to their situation and when it does not. Every finance page states what it does not account for as plainly as what it does.

Reviewed by

A. Whitfield-Reyes

Calculator reviewer — finance

A. Whitfield-Reyes reviews the finance calculators, checking compounding conventions, rate-period alignment, and whether each page is explicit about the costs and tax treatment it leaves out. Financial results are easy to state with false precision, so review focuses on whether the page makes its assumptions visible to a reader who is not looking for them.

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