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What $100,000 is worth after 30 years of 2.5% inflation

After 30 years of 2.5% inflation, what $100,000 buys today will cost $209,757, and $100,000 held in cash will buy only $47,674 worth of today's goods, a loss of 52.33%.

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The numbers for these inputs

YearCost of the same goodsBuying power of the amountBuying power lost
1$102,500$97,5612.44%
2$105,062$95,1814.82%
3$107,689$92,8607.14%
4$110,381$90,5959.4%
5$113,141$88,38511.61%
6$115,969$86,23013.77%
7$118,869$84,12715.87%
8$121,840$82,07517.93%
9$124,886$80,07319.93%
10$128,008$78,12021.88%
11$131,209$76,21423.79%
12$134,489$74,35625.64%
13$137,851$72,54227.46%
14$141,297$70,77329.23%
15$144,830$69,04730.95%
16$148,451$67,36232.64%
17$152,162$65,72034.28%
18$155,966$64,11735.88%
19$159,865$62,55337.45%
20$163,862$61,02738.97%
21$167,958$59,53940.46%
22$172,157$58,08641.91%
23$176,461$56,67043.33%
24$180,873$55,28844.71%
25$185,394$53,93946.06%
26$190,029$52,62347.38%
27$194,780$51,34048.66%
28$199,650$50,08849.91%
29$204,641$48,86651.13%
30$209,757$47,67452.33%

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 $100,000 of goods cost in 30 years?

$209,757 at 2.5% a year.

What will $100,000 be worth in 30 years?

In today's buying power, $47,674: inflation takes away 52.33% 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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