Why does inflation compound, and what does it do to my savings over decades?

Each year’s price rise lands on prices that already rose, so a modest rate multiplies costs over decades, a high-inflation spell leaves prices permanently higher, and cash earning less falls behind.

Inflation is quoted as a yearly rate, which makes it sound like a yearly problem. It is not: each year’s rise applies to prices that have already risen, so the price level compounds. Over a plan that runs thirty or forty years, a rate that looks small decides a great deal, and a spell of high inflation leaves prices higher for good.

How the price level compounds

The Bank of England’s example: at 2% inflation, a basket costing £100 a year ago costs £102 today. Next year’s 2% applies to £102, not to £100. Repeat it for decades and the effect is the same as compound interest, working against you.

Arithmetic, using the rule of 72 for the doubling time. Round figures.
Inflation a yearPrices double in aboutWhat 100 costs after 25 years
2%36 years164
4%18 years267
6%12 years429

Most central banks aim for about 2% a year: the US Federal Reserve (measured on personal consumption prices), the European Central Bank, the Bank of England and the Bank of Japan, while the Bank of Canada aims for the 2% midpoint of a 1 to 3% range. India’s target is 4%, with a tolerance band of 2 points either side, renewed in March 2026 to run until March 2031. A target is an aim, not a forecast, and actual inflation can run well away from it.

A high-inflation spell does not reverse

When inflation falls back, prices do not; they stop rising as fast. US consumer prices rose by an average of 8.8% a year from 1973 to 1982, against 2.8% in the thirteen years before, and the price level more than doubled over that decade. India’s consumer prices rose by an average of 10.3% a year from 2009 to 2013, against 4.9% from 2000 to 2008, a rise of about 63% in five years. In both cases everything afterwards inflated from the new, higher base.

Not everything inflates at the same rate

Some costs consistently outrun the average. In the United States, medical care prices rose by about 4.2% a year from 1984 to 2024, against 2.8% for all items, so they multiplied about 5.3 times while prices overall roughly tripled. Nivritee’s defaults give education and medical costs a higher rate than general inflation in every country it covers, for the same reason. A plan that grows school fees or health costs at the general rate understates them, and the gap widens every year until the bill arrives.

What it does to savings

The return that matters is the real return: roughly the nominal return minus inflation. Cash that earns 3% while prices rise 5% grows in number and shrinks in what it buys. Over 20 years it loses about a third of its purchasing power, even though the balance never falls.

  • Plan consistently. Either keep everything in today’s money and use real returns, or keep everything in future money and use nominal returns. Mixing the two is the commonest error.
  • Keep only what you need in cash: an emergency fund and money for near-term goals. Long-term money needs a return above inflation.
  • Give the fast-rising costs their own rate rather than one blended figure.

How Nivritee handles it

You & your assumptions holds three inflation rates, General inflation, Education inflation and Medical inflation, defaulted from the country you will be living in and yours to change. Each cost rises at its own class’s rate, and the projection carries inflation as a running price level, so a high-inflation window leaves prices raised afterwards. Nivritee’s returns are nominal and inflation compounds separately, so nothing is counted twice. The stress test A sustained inflation shock adds 4 points to inflation for seven years, starting two years from now, and prices stay at the higher level; a plan for India also offers An India-style inflation run. See should I change the six assumptions and what each stress test assumes.

Why it matters

The same money today, 25 years apart — India’s default rates

Medical 12%Education 8%General 4%today+25 yrs

How far the same money today rises over 25 years at Nivritee’s default rates for India: medical 12%, education 8% and general 4% a year.

  • Medical 12%: the steepest curve. By arithmetic, a cost rising 12% a year is about 17 times today’s after 25 years.
  • Education 8%: in between, about 6.8 times.
  • General 4%: the flattest of the three, about 2.7 times.

Illustrative figures — not anybody’s real plan.

Sources

  1. What is inflation? — Bank of England
  2. Inflation and the 2% target — Bank of England
  3. Why does the Federal Reserve aim for inflation of 2 percent over the longer run? — Board of Governors of the Federal Reserve System
  4. Monetary policy strategy — European Central Bank
  5. Price Stability Target of 2 Percent — Bank of Japan
  6. Inflation — Bank of Canada
  7. Inflation Targeting in India: The Past, The Present and The Future (speech, RBI Bulletin, May 2026) — Reserve Bank of India (figures as of 2026-05)
  8. Consumer Price Index for All Urban Consumers: All Items in U.S. City Average (CPIAUCSL) — Federal Reserve Bank of St. Louis (FRED), from the U.S. Bureau of Labor Statistics (figures as of 2026-10-01)
  9. Consumer Price Index for All Urban Consumers: Medical Care in U.S. City Average (CPIMEDSL) — Federal Reserve Bank of St. Louis (FRED), from the U.S. Bureau of Labor Statistics (figures as of 2026-10-01)
  10. Inflation, consumer prices (annual %) – India (FP.CPI.TOTL.ZG) — World Bank, World Development Indicators (figures as of 2026-10-01)

See this in your own plan.

Open You & your assumptions

Last reviewed 1 October 2026.

This is general information, not advice for your circumstances. Rules and limits change; check the official source for your country, and consult a licensed professional before making financial decisions.