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Inflation and Purchasing Power

What an amount is worth after years of price rises.

Inputs
3%
20
0%

Set to zero for cash under a mattress.

What 10,000.00 buys in 20 years
5,536.76
Cost then of what 10,000.00 buys today
18,061.11
Purchasing power lost
44.63%
Prices double every
23.45 years
future price = amount × (1 + rate)^years

Cash earning nothing loses 44.63% of its purchasing power over 20 years at this rate.

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Inflation compounds like interest. At 3% a year, prices double in about 23 years — so 10,000 kept as cash buys roughly 5,500 worth of goods after 20 years.

How to use Inflation Calculator

  1. Enter an amount and a rate. Use a long-run average of 2 to 3%, or a figure you want to test.
  2. Set the period. The effect is unremarkable over three years and severe over thirty.
  3. Add any interest earned. This is what turns the result into a real return rather than a nominal one.

About calculating the effect of inflation

Inflation is compound interest running against you, and it obeys exactly the same arithmetic. A three percent annual rate does not remove three percent of your purchasing power over a decade; it removes about twenty-six percent, because each year applies to what remains. Over thirty years at the same rate, money keeps around forty percent of what it could buy at the start. The rule of 72 works here as well as it does for savings, and is arguably more useful in this direction because it converts a rate into something concrete. Divide 72 by the inflation rate and you have the number of years until prices double — twenty-four years at three percent, twelve at six, a little over seven at ten. Anyone who has heard an older relative describe what things used to cost has heard that arithmetic from the other end. The distinction that matters most in practice is between nominal and real returns. A savings account paying two percent during five percent inflation shows a growing balance on every statement while losing three percent of its value a year, and nothing about the statement reveals it. The correct way to compute the real figure is to divide the growth factor by the price factor rather than subtracting one rate from the other; the subtraction is a decent approximation at low rates and drifts noticeably once either number gets large. It is also worth knowing that a published inflation figure is an average over a representative basket, and household experience diverges from it whenever spending is concentrated in categories moving faster than the headline.

Frequently asked questions

How fast does inflation halve my money?
Divide 72 by the rate for the doubling time of prices, which is also roughly when purchasing power halves. At 3% that is about 24 years; at 6% it is 12; at 10% it is a little over 7.
What is the difference between nominal and real return?
Nominal is what the balance shows; real is what it buys. An account paying 4% during 3% inflation has a real return near 1%. Divide the growth factor by the price factor rather than subtracting the rates — the shortcut drifts as rates rise.
Is a savings account losing money?
In real terms, whenever its rate sits below inflation. The balance rises while what it buys falls, which is a loss that never appears on a statement — every line shows a gain.
Why does official inflation not match my experience?
Because a national index measures a representative basket, and your spending is not that basket. Housing, energy and food often move faster than the headline, so anyone spending a large share of income on those experiences higher inflation than the published figure.
What rate should I use for planning?
Most developed economies target around 2%, and long-run outcomes have been closer to 3%. Planning at 3% and testing what happens at 5% is more useful than picking one figure, because the sensitivity is the thing worth knowing.

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