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What $50,000 is worth after 25 years of 3% inflation

After 25 years of 3% inflation, what $50,000 buys today will cost $104,689, and $50,000 held in cash will buy only $23,880 worth of today's goods, a loss of 52.24%.

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The numbers for these inputs

YearCost of the same goodsBuying power of the amountBuying power lost
1$51,500$48,5442.91%
2$53,045$47,1305.74%
3$54,636$45,7578.49%
4$56,275$44,42411.15%
5$57,964$43,13013.74%
6$59,703$41,87416.25%
7$61,494$40,65518.69%
8$63,339$39,47021.06%
9$65,239$38,32123.36%
10$67,196$37,20525.59%
11$69,212$36,12127.76%
12$71,288$35,06929.86%
13$73,427$34,04831.9%
14$75,629$33,05633.89%
15$77,898$32,09335.81%
16$80,235$31,15837.68%
17$82,642$30,25139.5%
18$85,122$29,37041.26%
19$87,675$28,51442.97%
20$90,306$27,68444.63%
21$93,015$26,87746.25%
22$95,805$26,09547.81%
23$98,679$25,33549.33%
24$101,640$24,59750.81%
25$104,689$23,88052.24%

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 $50,000 of goods cost in 25 years?

$104,689 at 3% a year.

What will $50,000 be worth in 25 years?

In today's buying power, $23,880: inflation takes away 52.24% 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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