Microeconomics
Cross-price Elasticity Calculator
Estimate whether two goods behave like substitutes or complements.
Inputs and results stay in this browser. Currency symbols are illustrative; use any consistent currency.
Likely substitutes
Understand Cross-price elasticity
One idea, three depths
Choose how deeply to explain Cross-price elasticity
Cross-price elasticity: Estimate whether two goods behave like substitutes or complements.
Age 5Explain it to a 5-year-oldStart with a picture
Imagine using Cross-price elasticity to answer this question: estimate whether two goods behave like substitutes or complements? Enter Initial price of good B, New price of good B, Initial demand for good A, and 1 other input; the calculator shows Cross-price elasticity. Try changing one number and watch what happens to Cross-price elasticity. The answer tells you Cross-price elasticity.
Age 15Explain it to a 15-year-oldConnect it to the formula
A positive result commonly indicates substitutes; a negative result commonly indicates complements. The midpoint method makes the comparison direction-neutral. The rule is Cross-price elasticity = % change in demand for good A ÷ % change in price of good B. Its input values are Initial price of good B, New price of good B, Initial demand for good A, New demand for good A, and the main result is Cross-price elasticity. Try changing one number and watch what happens to Cross-price elasticity.
CollegeExplain it at college levelState the model precisely
This calculator evaluates a microeconomics relationship while holding unmodelled conditions constant. The implemented relation is Cross-price elasticity = % change in demand for good A ÷ % change in price of good B, evaluated from Initial price of good B, New price of good B, Initial demand for good A, New demand for good A to produce Cross-price elasticity. A positive result commonly indicates substitutes; a negative result commonly indicates complements. The midpoint method makes the comparison direction-neutral. The result depends on comparable definitions, units, populations and time periods. It estimates a relationship; it does not establish causation or replace current primary data.
The economic question
Estimate whether two goods behave like substitutes or complements.
Why this relationship is useful
A positive result commonly indicates substitutes; a negative result commonly indicates complements. The midpoint method makes the comparison direction-neutral.
Inputs that must be comparable
- Initial price of good B (minimum 0).
- New price of good B (minimum 0).
- Initial demand for good A (minimum 0).
- New demand for good A (minimum 0).
Use one market, firm, population and time period throughout; mixing definitions can make a correctly calculated number economically meaningless.
The model
Cross-price elasticity = % change in demand for good A ÷ % change in price of good B
From inputs to output
The calculator combines Initial price of good B, New price of good B, Initial demand for good A, New demand for good A and reportsCross-price elasticity together with Price change for good B, Demand change for good A. Change one assumption at a time to identify what actually drives the estimate.
How to read Cross-price elasticity
Read the sign, magnitude, unit and period together. The result quantifies the relationship in “estimate whether two goods behave like substitutes or complements”; it does not by itself prove that one input caused another.
Where interpretation can fail
Do not use the result when the input definitions, units or formula assumptions do not match the real situation. This is an educational model, not financial, investment, tax or policy advice; verify material decisions against primary data and professional guidance.
Supporting sourcesAcademic referencesPrimary standards, textbooks and complete citations
Standards, reading and academic references
Use the calculator as the worked interaction, then consult the primary standards and academic textbooks listed below. MW SysArc links to the original sources; the explanation on this page is original and does not reproduce them.
Principles of Economics 3e
Read the free OpenStax economics textbookCite this book
- APA 7
- Greenlaw, S. A., Shapiro, D., & MacDonald, D. (2022). Principles of economics 3e. OpenStax. https://openstax.org/books/principles-economics-3e/pages/1-introduction
- MLA 9
- Greenlaw, Steven A., et al. Principles of Economics 3e. OpenStax, 2022, https://openstax.org/books/principles-economics-3e/pages/1-introduction.
- Chicago author-date
- Greenlaw, Steven A., David Shapiro, and Daniel MacDonald. 2022. Principles of Economics 3e. Houston, TX: OpenStax. https://openstax.org/books/principles-economics-3e/pages/1-introduction.
OpenStax entries are free to read online. Follow the licence shown on each linked source before redistributing or adapting its content.
Reuse the page responsiblyCite this pageAPA, MLA, Chicago, Harvard, BibTeX and RIS
These formats cite this calculator page itself. They are separate from the academic references above, which support the mathematical method and terminology.
APA 7
MW SysArc. (2026, July 21). Cross-price Elasticity Calculator. MW SysArc Tools. https://economics.mwsysarc.com/micro/cross-price-elasticity
MLA 9
MW SysArc. “Cross-price Elasticity Calculator.” MW SysArc Tools, 21 July 2026, https://economics.mwsysarc.com/micro/cross-price-elasticity. Accessed 31 Aug. 2026.
Chicago 17
MW SysArc. “Cross-price Elasticity Calculator.” MW SysArc Tools. Published July 21, 2026. Accessed August 31, 2026. https://economics.mwsysarc.com/micro/cross-price-elasticity.
Harvard
MW SysArc (2026) ‘Cross-price Elasticity Calculator’, MW SysArc Tools. Published 21 July 2026. Available at: https://economics.mwsysarc.com/micro/cross-price-elasticity (Accessed: 31 August 2026).
BibTeX and RIS records
BibTeX
@misc{mwsysarc_cross_price_elasticity_2026,
author = {{MW SysArc}},
title = {Cross-price Elasticity Calculator},
howpublished = {MW SysArc Tools},
year = {2026},
url = {https://economics.mwsysarc.com/micro/cross-price-elasticity},
note = {Published July 21, 2026; accessed August 31, 2026}
}RIS
TY - ELEC
AU - MW SysArc
TI - Cross-price Elasticity Calculator
T2 - MW SysArc Tools
PY - 2026
DA - 2026-07-21
Y2 - 2026-08-31
UR - https://economics.mwsysarc.com/micro/cross-price-elasticity
N1 - Published July 21, 2026
ER -Clear answers
Frequently asked questions
What does the Cross-price elasticity do?
Estimate whether two goods behave like substitutes or complements.
How does the Cross-price elasticity work?
The calculator applies this formula: Cross-price elasticity = % change in demand for good A ÷ % change in price of good B. A positive result commonly indicates substitutes; a negative result commonly indicates complements. The midpoint method makes the comparison direction-neutral.
What can I learn from the Cross-price elasticity?
It helps you explore the relationship described by this tool: Estimate whether two goods behave like substitutes or complements. Change one input at a time to observe how it affects the result.
Does MW SysArc receive or store what I enter?
No. The calculation runs locally in your browser. MW SysArc does not receive or store your calculation inputs.
How should I use the result?
Use the result as an estimate or educational aid. Check important financial, business or policy decisions with qualified sources and current data.
Last reviewed . Calculations tested .