Pay raise vs inflation: did purchasing power increase?

2026-07-19

A bigger number on the offer letter is nominal. To test purchasing power, align one pay period with one official CPI comparison and compound the two rates.

Direct answer

A raise beats inflation only when (1 + raise rate) ÷ (1 + inflation rate) − 1 is positive. A $70,000 salary with a 4% raise becomes $72,800, but with 5% inflation its real change is 1.04÷1.05−1 = −0.95%; the new salary buys about what $69,333.33 bought before. Subtracting 5% from 4% gives a useful shortcut, but the ratio is the exact compounded result.

Inputs to collect

  • Old gross pay for one consistent annual, monthly or hourly period
  • Nominal raise percentage, excluding bonuses unless they recur
  • Official CPI change for the same start and end periods
  • Whether the CPI is annual average, year-over-year month or another index comparison
  • Base pay, hours and benefits that changed alongside the raise
  • Take-home impact if taxes, deductions or contributions changed
  • Personal spending categories that materially differ from the CPI basket

Formula

New nominal pay = old pay × (1 + raise%). Exact real change = [(1 + raise%) ÷ (1 + inflation%) − 1] × 100. New pay in old-period dollars = new nominal pay ÷ (1 + inflation%).

Worked example

$70,000 × 1.04 = $72,800 nominal. Real change = (1.04÷1.05−1)×100 = −0.95%. Purchasing-power equivalent = $72,800÷1.05 = $69,333.33 in old-period dollars, so the raise did not preserve purchasing power in this scenario.

Sensitivity check

Scenario Changed input Result
Raise equals inflation 5% raise; 5% inflation 0.00% real change; $70,000 old-dollar equivalent
Raise 6%, inflation 5% Raise becomes 6% +0.95% real; $70,666.67 equivalent
Inflation only 3% Inflation becomes 3% +0.97% real; $70,679.61 equivalent
No raise, inflation 5% Raise becomes 0% −4.76% real; $66,666.67 equivalent

Compare your raise with matching CPI

Limitations

  • Use CPI observations with the same time boundary as the raise; do not mix a monthly change with an annual raise.
  • BLS annual calculator values use calendar-year averages, while the current year uses the latest monthly index, so record the exact method and retrieval date.
  • CPI describes an average urban consumer basket, not your personal cost-of-living change.
  • This gross-pay comparison excludes taxes, benefits, hours, bonuses and promotion risk unless you analyze them separately.

Sources and verification

Last verified:

Real pay-raise calculator

Enter an official CPI change covering the same period as the raise.

New nominal pay
Exact real change
New pay in old-period dollars

Gross-pay scenario only; no personal data leaves your browser.

Match BLS periods before calculating

The BLS calculator uses calendar-year average CPI for completed years and the latest monthly index for the current year. If your raise begins in a particular month, obtain the CPI change for matching months instead of mixing it with an annual average.

Keep compensation outside the CPI formula visible

A promotion can change hours, bonus eligibility, health premiums, retirement match or tax withholding. The real-raise result answers one narrow question about gross base pay; it does not settle total compensation.

General education, not individualized financial, tax or employment advice.

Frequently asked questions

What is the exact real-raise formula?
Divide one plus the raise rate by one plus the matching inflation rate, subtract one, then multiply by 100.
Can I just subtract inflation from the raise?
It is a close shortcut for small percentages, but the ratio formula is the exact compounded comparison.
Which CPI number should I enter?
Use an official CPI change with the same start and end boundary as the pay comparison and record whether it is annual average or month-over-month.
Does CPI equal my cost of living?
No. CPI reflects an average consumer basket; your housing, transport and family costs can move differently.
Should I use gross or take-home pay?
This page isolates gross purchasing power. Check take-home, benefits and hours separately before judging total compensation.