RATES & MATHS

Cumulative inflation

The total, compounded change in prices between two dates.

2 min read · Reviewed September 2026

In plain words

Cumulative inflation is the total price rise over a multi-year period. You can't just add annual rates — you must compound them. If prices rose 2%, 8%, 4%, and 3% over four years, the cumulative change is (1.02 × 1.08 × 1.04 × 1.03) − 1 ≈ 18.5%.

Frequently asked questions

How do I calculate cumulative inflation?

Multiply annual price index factors together: (1 + r₁) × (1 + r₂) × ... − 1. Or simply divide the CPI in the end year by the CPI in the start year and subtract 1. The InflationTheGuide calculator does this automatically.

Cite this term

InflationTheGuide. "Cumulative inflation." InflationTheGuide Glossary, reviewed September 2026. https://inflationtheguide.com/glossary/cumulative-inflation