Calculate the compounded future value of a 5.000.000 € lump sum over 40 years, fully adjusted for inflation.
Starting from 5.000.000 € and compounding at Europe's long-horizon equity return assumption of 8%, your investment reaches a nominal value of €108,62M after 40 years. After deflating that by 2.5% annual inflation, its real purchasing power in today's money is €40,45M — a 62.8% erosion driven entirely by the gap between nominal returns and price increases.
At a 8% return rate, your money doubles roughly every 9 years (Rule of 72). At 2.5% inflation, prices double every 29 years. Your real return — the only return that matters for purchasing power — is 5.5% per year.
| Year | Nominal value | Real value (today's purchasing power) | Purchasing power lost |
|---|---|---|---|
| 4 | €6,8M | €6,16M | 9.4% |
| 8 | €9,25M | €7,6M | 17.9% |
| 12 | €12,59M | €9,36M | 25.6% |
| 16 | €17,13M | €11,54M | 32.6% |
| 20 | €23,3M | €14,22M | 39.0% |
| 24 | €31,71M | €17,53M | 44.7% |
| 28 | €43,14M | €21,61M | 49.9% |
| 32 | €58,69M | €26,63M | 54.6% |
| 36 | €79,84M | €32,82M | 58.9% |
| 40 | €108,62M | €40,45M | 62.8% |
The return rate you can actually achieve is the single biggest lever on the final corpus. Three return scenarios:
| Scenario | Return assumption | Nominal in 40 yrs | Real in 40 yrs |
|---|---|---|---|
| Conservative | 5% | €35,2M | €13,11M |
| Expected | 8% | €108,62M | €40,45M |
| Optimistic | 11% | €325M | €121,04M |
The future value is calculated using two primary steps:
Where: PV = Present Value (initial amount), r = annual return rate, i = annual inflation rate, and n = duration in years.
Investing $100,000 at an 8% annual return rate for 30 years yields a nominal corpus of $1,006,265. However, at a standard 2.5% inflation rate, its purchasing power today is only $479,729, representing a 52.3% loss in value.
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