Inflation / purchasing power calculator

An inflation calculator for one lump sum. It shows the later amount with the same buying power, and what a fixed nominal sum is worth in today’s money, at an annual rate you choose.

How inflation erodes purchasing power

The figures are an educational estimate, not financial advice. See the disclaimer.

Cumulative inflation factor
1.343916
Amount needed later for the same buying power
HK$13,439.16
Real value of this amount after inflation
HK$7,440.94
Cumulative inflation
34.39%
Purchasing power retained
74.41%

Educational estimate from the compound formula below — not financial advice.

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How this is calculated

This calculator applies one annual inflation rate for a whole number of years. It does not download a price index and it does not forecast inflation. The default rate is an illustration.

Formula

Constant annual rate, annual compounding, and a rate you supply. No fees, tax, or investment return.

i = rate% / 100

F = (1 + i)^n

future nominal = A × F

real value = A / F

Assumptions

Rate you enter
One annual rate for the whole span. The 3% default is illustrative only, not a forecast and not an official figure.
Whole years
n is an integer from 0 to 100. Start year and end year are labels: n is the end year minus the start year. 2016 to 2026 is 10 years.
Lump sum
One amount today. No deposits, withdrawals, or a series of contributions.
No investment return
Fees, tax, and interest are left out. A balance that earns interest belongs on the compound interest calculator.
Savings target
A target built from annual spending belongs on the FIRE and retirement calculator. This page only rescales a lump sum.
Currency
Display only. Changing it does not convert the amount.
Deflation
A rate above −100% is allowed. Future nominal then falls below today’s amount, and the real value of a fixed sum rises.

Worked example

Take 10,000 at an illustrative 3% for 10 years. The factor is about 1.343916. The amount needed later for the same buying power is 13,439.16. A sum that stays at 10,000 has a real value of 7,440.94. Cumulative inflation is 34.39% and purchasing power retained is 74.41%. The year labels 2016 to 2026 use the same 10-year span.

AmountRateYearsNeeded laterReal value
10,0003%1013,439.167,440.94
10010%2121.0082.64
5006.5%1532.50469.48
10,000−2%59,039.2111,062.92

Purchasing-power maths follow BLS CPI education (index ratios). With a constant annual rate, the factor is (1 + i)^n.

FAQ

How is purchasing power calculated?

The factor F is one plus the decimal rate, raised to the number of whole years. The amount needed later equals today’s amount times F. The real value of a nominally fixed sum is that amount divided by F. Purchasing power retained is 100 divided by F.

Why do I enter the inflation rate myself?

This calculator does not download a consumer price index and does not forecast prices. One rate cannot describe every place or every year. The default of 3% is only an illustration so the form has a starting point. Replace it with the assumption you want to test. The figures then follow the rate you type.

What is the difference between future nominal and real value?

Future nominal is the later amount that buys what today’s amount buys now, after prices change by the factor F. Real value runs the other way. It is a cash pile that stays at the same nominal amount, measured in today’s buying power after those years. A positive rate lifts future nominal and lowers real value.

Does this use a consumer price index?

No. BLS purchasing-power education uses a ratio of two index readings. With a constant annual rate, that ratio equals one plus the decimal rate, raised to the number of years. You enter the rate and the years yourself. This page does not download an index, and the default 3% is not an official figure.

Is this financial advice?

No. It is an educational estimate from the compound formula on this page. Fees, tax, and investment return are left out. For a balance that earns interest, use the compound interest calculator. A constant rate is an assumption you choose, not a prediction of future prices.

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