Microeconomics
Income and Substitution Effect Calculator
Decompose a quantity change into substitution and income effects using a compensated quantity.
Inputs and results stay in this browser. Currency symbols are illustrative; use any consistent currency.
Understand Income and substitution effects
One idea, three depths
Choose how deeply to explain Income and substitution effects
Income and substitution effects: Decompose a quantity change into substitution and income effects using a compensated quantity.
Age 5Explain it to a 5-year-oldStart with a picture
Imagine using Income and substitution effects to answer this question: decompose a quantity change into substitution and income effects using a compensated quantity? Enter Initial quantity, Compensated quantity, Final quantity; the calculator shows Substitution effect. For example: If quantity moves from 10 initially to 14 when compensated and 16 finally, the substitution effect is +4 and the income effect is +2. The answer tells you Substitution effect.
Age 15Explain it to a 15-year-oldConnect it to the formula
The compensated quantity represents the bundle chosen after the relative-price change while holding purchasing power or utility constant, depending on the decomposition method used. The rule is Substitution effect = Compensated Q − Initial Q; Income effect = Final Q − Compensated Q. Its input values are Initial quantity, Compensated quantity, Final quantity, and the main result is Substitution effect. For example: If quantity moves from 10 initially to 14 when compensated and 16 finally, the substitution effect is +4 and the income effect is +2.
CollegeExplain it at college levelState the model precisely
This calculator evaluates a microeconomics relationship while holding unmodelled conditions constant. The implemented relation is Substitution effect = Compensated Q − Initial Q; Income effect = Final Q − Compensated Q, evaluated from Initial quantity, Compensated quantity, Final quantity to produce Substitution effect. The compensated quantity represents the bundle chosen after the relative-price change while holding purchasing power or utility constant, depending on the decomposition method used. 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
Decompose a quantity change into substitution and income effects using a compensated quantity.
Why this relationship is useful
The compensated quantity represents the bundle chosen after the relative-price change while holding purchasing power or utility constant, depending on the decomposition method used.
Inputs that must be comparable
- Initial quantity (minimum 0).
- Compensated quantity (minimum 0).
- Final quantity (minimum 0).
Use one market, firm, population and time period throughout; mixing definitions can make a correctly calculated number economically meaningless.
The model
Substitution effect = Compensated Q − Initial Q; Income effect = Final Q − Compensated Q
From inputs to output
The calculator combines Initial quantity, Compensated quantity, Final quantity and reportsSubstitution effect together with Income effect, Total quantity effect. Change one assumption at a time to identify what actually drives the estimate.
How to read Substitution effect
Read the sign, magnitude, unit and period together. The result quantifies the relationship in “decompose a quantity change into substitution and income effects using a compensated quantity”; it does not by itself prove that one input caused another.
A worked economic example
If quantity moves from 10 initially to 14 when compensated and 16 finally, the substitution effect is +4 and the income effect is +2.
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). Income and Substitution Effect Calculator. MW SysArc Tools. https://economics.mwsysarc.com/micro/income-substitution-effect
MLA 9
MW SysArc. “Income and Substitution Effect Calculator.” MW SysArc Tools, 21 July 2026, https://economics.mwsysarc.com/micro/income-substitution-effect. Accessed 31 Aug. 2026.
Chicago 17
MW SysArc. “Income and Substitution Effect Calculator.” MW SysArc Tools. Published July 21, 2026. Accessed August 31, 2026. https://economics.mwsysarc.com/micro/income-substitution-effect.
Harvard
MW SysArc (2026) ‘Income and Substitution Effect Calculator’, MW SysArc Tools. Published 21 July 2026. Available at: https://economics.mwsysarc.com/micro/income-substitution-effect (Accessed: 31 August 2026).
BibTeX and RIS records
BibTeX
@misc{mwsysarc_income_substitution_effects_2026,
author = {{MW SysArc}},
title = {Income and Substitution Effect Calculator},
howpublished = {MW SysArc Tools},
year = {2026},
url = {https://economics.mwsysarc.com/micro/income-substitution-effect},
note = {Published July 21, 2026; accessed August 31, 2026}
}RIS
TY - ELEC
AU - MW SysArc
TI - Income and Substitution Effect Calculator
T2 - MW SysArc Tools
PY - 2026
DA - 2026-07-21
Y2 - 2026-08-31
UR - https://economics.mwsysarc.com/micro/income-substitution-effect
N1 - Published July 21, 2026
ER -Clear answers
Frequently asked questions
What does the Income and substitution effects do?
Decompose a quantity change into substitution and income effects using a compensated quantity.
How does the Income and substitution effects work?
The calculator applies this formula: Substitution effect = Compensated Q − Initial Q; Income effect = Final Q − Compensated Q. The compensated quantity represents the bundle chosen after the relative-price change while holding purchasing power or utility constant, depending on the decomposition method used.
What can I learn from the Income and substitution effects?
It helps you explore the relationship described by this tool: Decompose a quantity change into substitution and income effects using a compensated quantity. 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 .