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What $1,000 is worth after 10 years of 8% inflation

After 10 years of 8% inflation, what $1,000 buys today will cost $2,159, and $1,000 held in cash will buy only $463 worth of today's goods, a loss of 53.68%.

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The numbers for these inputs

YearCost of the same goodsBuying power of the amountBuying power lost
1$1,080$9267.41%
2$1,166$85714.27%
3$1,260$79420.62%
4$1,360$73526.5%
5$1,469$68131.94%
6$1,587$63036.98%
7$1,714$58341.65%
8$1,851$54045.97%
9$1,999$50049.98%
10$2,159$46353.68%

How it works

Inflation compounds like interest. If prices rise by a steady rate each year, goods that cost one amount today cost amount x (1 + rate)^years after that many years.

The other side of it is buying power: money held in cash for that long buys only amount / (1 + rate)^years of today's goods.

Real inflation changes from year to year and differs between goods, so a single steady rate is an illustration. Use it to see the size of the effect, not to predict a price.

Common mistakes

  • Ignoring inflation when judging a savings rate: a 3% account in a 3% inflation year gains nothing in real terms.
  • Using the average inflation of one country for a price in another.
  • Assuming every price rises at the headline rate; housing, food and electronics move differently.

Questions

How much will $1,000 of goods cost in 10 years?

$2,159 at 8% a year.

What will $1,000 be worth in 10 years?

In today's buying power, $463: inflation takes away 53.68% of it.

What inflation rate should I use?

Many central banks aim for about 2%; use the average rate of your country over a long period rather than one recent year.

How do I protect savings from inflation?

Earn a return at or above inflation: compare the interest rate with the inflation rate, and see the compound interest calculator for the effect of growth.

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