How inflation-adjusted future value is calculated
Inflation erodes purchasing power over time. Discounting an amount by (1+r) for each year gives its real value in today's terms; compounding it the other way gives the nominal amount you'd need later to match today's purchasing power.
- Amount — the current amount
- r — average annual inflation rate (as a decimal)
- n — number of years
Common values
| Current amount (₩) | Future purchasing power |
|---|---|
| 100,000 ₩ | ₩74,409 |
| 250,000 ₩ | ₩186,023 |
| 500,000 ₩ | ₩372,047 |
| 1,000,000 ₩ | ₩744,094 |
| 1,500,000 ₩ | ₩1,116,141 |
| 2,000,000 ₩ | ₩1,488,188 |
| 3,000,000 ₩ | ₩2,232,282 |
| 5,000,000 ₩ | ₩3,720,470 |
| 10,000,000 ₩ | ₩7,440,939 |
More detail
Real value vs. nominal value
"Real value" is what today's money will actually be able to buy in the future after inflation; "nominal value" is the raw currency amount. The two future-value formulas above are inverses of each other — applying one after the other on the same amount returns you to the starting number.
Why the effect compounds
Because (1+r) is raised to the power of n, inflation's erosion isn't linear — it accelerates the longer the time horizon. Even a modest 3% annual rate cuts real value by more than a quarter over 10 years, which is why long-horizon plans like retirement savings need to account for it explicitly.
Planning tip. When setting a savings or retirement target, use the nominal amount above (not today's number) as the actual goal — otherwise inflation will quietly shrink your purchasing power even if you hit the number you originally planned for.
Frequently asked questions
At 3% inflation, what is 1,000,000 worth in 10 years?
Real value = 1,000,000 ÷ (1.03)¹⁰ ≈ 744,094 — today's 1,000,000 will only buy about as much as roughly 744,094 does today, after 10 years of 3% average inflation. That's the "Future purchasing power" output above.
How much nominal money will I need in 10 years to match today's 1,000,000 in purchasing power?
Under the same 3%-for-10-years assumption, nominal needed = 1,000,000 × (1.03)¹⁰ ≈ 1,343,916 — that's the "Nominal amount needed" output, and it's the target to plan savings around, not the original 1,000,000.
Why are the two formulas inverses of each other?
The real-value formula divides by (1+r)ⁿ and the nominal-needed formula multiplies by the same factor, so chaining them on one amount returns the original number: 744,094 × (1.03)¹⁰ ≈ 1,000,000.
How much does raising the inflation rate change the real value?
Because (1+r)ⁿ grows faster as r rises, real value shrinks faster too. For the same 1,000,000 over 10 years, raising the rate from 3% to 5% drops real value from about 744,094 to about 613,913 — a meaningfully bigger loss for a 2-point rate change.