What return remains after accounting for inflation?

Real return measures purchasing-power change rather than simply subtracting prices in currency terms. The exact relationship compounds nominal return and inflation against one another.

The exact real-return relationship

Nominal CAGR = (Ending ÷ Starting)^(1 ÷ Years) − 1Real CAGR = [(1 + Nominal CAGR) ÷ (1 + Inflation)] − 1Real value = Ending ÷ (1 + Inflation)^Years

Deflating a nominal result

The default case compares an entered nominal return with an inflation rate for the same period. It reports the real percentage and the purchasing-power result on the example amount.

Illustrative inputs; currency amounts below use USD. Rates and prices are assumptions, not live quotes.

Starting value
$10,000.00
Ending value
$18,000.00
Years held
5
Annual inflation
4%

Step-by-step calculation

  1. Nominal annual return = ((18,000 ÷ 10,000)^(1 ÷ 5) − 1) × 100 = 12.474611%.
  2. Real annual return = ((1 + nominal rate) ÷ (1 + 4 ÷ 100) − 1) × 100 = 8.148665%.
  3. Ending value in starting-period purchasing power = 18,000 ÷ (1 + 4 ÷ 100)^5 = 14,794.687922.

Intermediate figures are rounded for reading. Results use the full calculation precision.

Real annual return8.15%
Nominal annual return12.47%
Ending value in today's money$14,794.69
Real gain$4,794.69

Why positive nominal can mean negative real

A positive nominal return can still produce a negative real return when inflation is higher. The real result is the better measure of what the ending money can buy relative to the start.

Matching the period and inflation measure

Nominal return minus inflation is only an approximation. The calculator uses the displayed compounding relationship, which matters more as rates become larger.

  • Nominal return and inflation cover the same time period.
  • The inflation rate represents the relevant purchasing basket.
  • Tax, fees and personal spending differences are excluded.

Calculations related to inflation adjusted return

The following tools examine neighbouring parts of the same calculation without changing the inputs or assumptions used above.

References

Sources and conventions

  • BLS: consumer price inflation

    US CPI is one inflation measure. This calculator uses your entered constant rate and does not retrieve an index series.

Quick answers

Frequently asked questions

Why is real return not just nominal return minus inflation?

The formula divides one plus the nominal rate by one plus inflation, then subtracts one, which accounts for their compounding relationship.

What does ending value in today's money mean?

It is the entered ending value divided by compounded inflation across the holding period.

Does the calculator use actual historical inflation?

No. It applies the single annual inflation rate entered by the user for every year.

Calculation method and limitations · Report an error

Educational content only. This guide is not financial advice.