Inflation Calculator
Calculate how much a dollar amount grows or shrinks in nominal terms between two years at a given annual inflation rate, plus the cumulative inflation percentage over that span.
How It's Calculated
Formula
\text{Adjusted Amount} = \text{Starting Amount} \times (1 + r)^{n}\\ \text{Cumulative Inflation \%} = \left[(1 + r)^{n} - 1\right] \times 100This calculator projects a dollar amount forward using compound growth at a rate you specify — the same mathematics as compound interest, applied to a general price-level assumption instead of a savings account. Give it a starting amount, a starting year, a target year, and an annual inflation rate, and it computes the equivalent amount in the target year: Adjusted Amount = Starting Amount × (1 + r)^n, where r is the rate as a decimal and n is the number of years between the two dates. The cumulative inflation percentage is simply how much that growth factor exceeds 1, expressed as a percentage. This calculator does not look up historical or live CPI (Consumer Price Index) data — the rate is entirely something you supply, whether that's a long-run historical average, an official inflation target, or a custom assumption for financial planning. A negative rate can be entered to model deflation (falling prices), as long as it stays above -100%, since a rate at or below -100% would mathematically collapse the amount to zero or a negative value.
Worked Examples
Standard case: $1,000 from 2016 to 2026 at 3% annual inflation
- Years elapsed: n = 2026 − 2016 = 10
- Convert rate to decimal: r = 3 / 100 = 0.03
- Growth factor: (1 + 0.03)^10 = 1.343916...
- Adjusted amount: 1000 × 1.343916 = $1,343.92
- Cumulative inflation: (1.343916 − 1) × 100 = 34.39%
Deflation case: $1,000 from 2020 to 2025 at -2% annual rate
- Years elapsed: n = 2025 − 2020 = 5
- Convert rate to decimal: r = -2 / 100 = -0.02
- Growth factor: (1 − 0.02)^5 = 0.903921...
- Adjusted amount: 1000 × 0.903921 = $903.92
- Cumulative inflation: (0.903921 − 1) × 100 = -9.61%
Frequently Asked Questions
Does this calculator use real historical inflation data?
No. You supply the annual inflation rate yourself — the calculator does not look up official CPI figures or any live data source. This makes it a general-purpose compound-projection tool: plug in whatever rate assumption fits your planning scenario (a historical average, an official target, or your own estimate).
What does the target year need to be relative to the starting year?
The target year must be the same as or later than the starting year. Entering a target year earlier than the starting year isn't calculated — this tool projects forward in time only, and does not solve for a past equivalent value.
Can I model deflation (falling prices) instead of inflation?
Yes — enter a negative annual inflation rate. The formula works the same way; a negative rate shrinks the amount over time instead of growing it. The rate just needs to stay above -100%, since a rate at or below -100% has no meaningful interpretation under this compound-growth formula.
What happens if the starting year and target year are the same?
The number of elapsed years is zero, so the growth factor is exactly 1 — the adjusted amount equals the starting amount and cumulative inflation is 0%. That's the expected boundary case, not an error.
Is this the same math as a compound interest calculator?
Yes, structurally — both apply a fixed rate compounded once per year over a number of periods. The difference is purely conceptual: a compound interest calculator tracks how a balance grows, while this calculator tracks how a fixed dollar amount's nominal equivalent shifts under a general rate of price change.