Inflation calculator

Understand how rising prices change the purchasing power of money — and how a seemingly modest annual inflation rate compounds over time.

Report error
Future value (nominal)
after 20 years
Real purchasing power
in today’s money
Value lost to inflation

Purchasing power over time

Nominal vs real

Year-by-year breakdown

Year Factor (1+i)ⁿ Nominal value Real value Cumulative inflation

Your scenario

$
Starting sum in today’s money
%
Expected average yearly inflation
%
If filled, real return = (1+r)/(1+i) − 1

Constant-rate planning model — not official CPI history. The chart below the article is a U.S. annual-average reference series.

Years to lose half
Years to double prices
THE ECONOMICS OF INFLATION

Inflation is not simply “prices going up”

Inflation is a persistent increase in the general price level of goods and services. The important consequence is not merely that individual prices become higher; it is that the purchasing power of money changes. A dollar, euro, pound, or lira is a unit of money, but what that unit can buy depends on the price level of the economy.

Think of money as a claim on a basket of goods and services. When the basket becomes more expensive, the same nominal amount buys a smaller portion of it. That is why economists distinguish carefully between nominal value and real value.

The central idea: the same amount of money, a different purchasing power

$ $100 same nominal amount $ $100 unchanged amount Prices rise the basket costs more Purchasing power falls each unit of money buys less

Nominal value versus real value

Nominal value is the amount written on the banknote or account statement. If you keep $10,000 in cash, the nominal balance remains $10,000. Real value asks a different question: how much purchasing power does that $10,000 represent after prices have changed?

This distinction is fundamental in economics. A salary can rise by 4% while the worker's purchasing power still falls if prices rise by more than 4%. Likewise, an investment can produce a positive nominal return while producing a much smaller — or even negative — real return.

Economist's rule of thumb: never evaluate a long-term money amount from the nominal number alone. Ask what happens to its purchasing power after inflation is taken into account.
THE MATHEMATICS

How the inflation calculation works

For a planning scenario with a constant annual inflation rate, the mathematics is a compound-growth calculation. Inflation compounds because each year's price increase applies to the already higher price level.

Future cost of today's basket

Here, n is the number of years and the inflation rate is written as a decimal. At 3% inflation, for example, use 0.03. The calculator uses this relationship to estimate how much money would be required in the future to purchase the same basket represented by today's amount.

Purchasing power of today's cash

The second expression answers the reverse question: if you simply hold the original cash amount, what is that money worth in today's purchasing-power terms after n years?

Why the rate matters more than it first appears

Inflation is often discussed as an annual percentage, which can make a small rate sound harmless. The problem is that the effect is cumulative. The difference between 2%, 3%, and 6% is modest over one year but enormous over several decades.

2%20-year price factor
≈ 1.49×
3%20-year price factor
≈ 1.81×
6%20-year price factor
≈ 3.21×
MEASUREMENT

What is CPI, and why do economists use it?

The Consumer Price Index (CPI) is a price index designed to track changes in the cost of a representative basket of goods and services. Official statistical agencies collect prices across categories such as food, housing, transport, clothing and recreation, then combine them using expenditure weights.

CPI is therefore an index of average price movement, not a personal price index. Your own inflation experience can be higher or lower depending on what you buy. A household that spends heavily on rent and energy, for example, can experience a different cost-of-living change from a household with a different spending pattern.

The Bank of Canada describes its inflation calculator as a comparison of the cost of a fixed basket using monthly CPI data, while the Reserve Bank of Australia explains its calculator in terms of the change in cost of a representative basket over time. Those official tools illustrate the same economic principle behind historical CPI adjustment: compare the relevant price indexes and apply their ratio.

Think of CPI as a weighted basket, not a single product

Representative basket Illustrative components Food & beverages Housing / shelter Transport Clothing & recreation

Historical CPI versus a planning assumption

This page's calculator deliberately uses an entered average annual inflation rate. It is therefore a planning model, not a live historical CPI database. That distinction matters: historical CPI adjustment should use the actual index values for the chosen dates, whereas a forward-looking scenario must make an assumption about future inflation.

For historical comparisons, official tools such as the Bank of Canada Inflation Calculator and the RBA Inflation Calculator use country-specific CPI or related historical price-index series. Calculator.net likewise separates historical U.S. CPI calculations from its forward and backward flat-rate scenarios.

WORKED EXAMPLE

What happens to $10,000 at 3% inflation?

Suppose you have $10,000 today and want to understand the effect of a constant 3% annual inflation rate over 20 years. The key is not to multiply 3% by 20. Inflation compounds.

Future basket cost
$10,000 × 1.03²⁰ ≈ $18,061
Purchasing power left
$10,000 ÷ 1.03²⁰ ≈ $5,537

So the same basket that costs $10,000 today would require roughly $18,061 after 20 years under this assumption. Conversely, if the $10,000 itself earns nothing, its purchasing power would be equivalent to only about $5,537 in today's money.

This is why inflation is especially important for long-term decisions: retirement planning, salary negotiations, long leases, savings targets and any goal measured in future currency units.

U.S. REFERENCE SERIES

Historical U.S. inflation, annual average

The planning calculator above holds one rate constant. Actual U.S. CPI inflation has not been constant: wartime spikes, the 1970s, the 2009 dip, and 2021–23 are visible in the same series the BLS publishes as annual averages.

U.S. CPI inflation rate (annual average)

Reference chart in ST Calculator colors. Negative years are deflation. Source: BLS CPI-U annual averages, compiled for display.

YearAnnual average
INTERPRETATION

How economists read an inflation result

A calculated result is not a forecast. It is a conditional statement: if the assumed rate persists for the stated period, this is the mathematical consequence. That distinction is essential when using inflation numbers responsibly.

  • For savings: compare the expected nominal return with the inflation assumption to estimate whether purchasing power is growing.
  • For wages: a pay rise should be compared with inflation to determine the approximate change in real income.
  • For retirement: future spending needs should be expressed in future prices rather than today's prices alone.
  • For historical comparisons: use the official CPI series for the relevant country and dates rather than an assumed flat rate.
Important limitation: CPI measures an average basket. It does not reproduce your exact household budget, investment portfolio, housing arrangement, taxes or lifestyle. Treat the result as an economic reference point, not a personalized forecast.
QUESTIONS ECONOMISTS GET ASKED

Inflation calculator FAQ

Why does inflation compound?
Because each year's price increase becomes part of the new price level. A 3% increase is applied to the price after the previous 3% increase, not repeatedly to the original price.
Is 3% inflation always “bad”?
The answer depends on context. Inflation changes purchasing power, but moderate and stable inflation can coexist with economic growth, rising wages and productive investment. The important issue for an individual is how prices compare with income, savings returns and other nominal cash flows.
Why can my personal inflation rate differ from CPI?
Because CPI is based on a representative basket. If your spending is concentrated in categories whose prices move differently from the average basket, your personal cost of living can rise faster or slower than headline CPI.
Does this calculator use historical CPI?
No. This calculator uses the annual rate you enter as a constant planning assumption. For historical CPI-based comparisons, use an official country-specific CPI series and the ratio of the end-period index to the start-period index.
Does this include investment returns?
No. It isolates the inflation effect. If an investment also earns a return, the relevant question becomes the real return after inflation. A common exact relationship is (1 + nominal return) / (1 + inflation) − 1.

Research basis: official CPI methodology and calculator explanations from the Reserve Bank of Australia and Bank of Canada, with calculator structure cross-checked against Calculator.net and explanatory framing from Omni Calculator.