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 Australia's long-horizon equity return assumption of 9%, your investment reaches a nominal value of $157.05M after 40 years. After deflating that by 2.5% annual inflation, its real purchasing power in today's money is $58.49M — a 62.8% erosion driven entirely by the gap between nominal returns and price increases.
At a 9% return rate, your money doubles roughly every 8 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 6.5% per year.
| Year | Nominal value | Real value (today's purchasing power) | Purchasing power lost |
|---|---|---|---|
| 4 | $7.06M | $6.39M | 9.4% |
| 8 | $9.96M | $8.18M | 17.9% |
| 12 | $14.06M | $10.46M | 25.6% |
| 16 | $19.85M | $13.37M | 32.6% |
| 20 | $28.02M | $17.1M | 39.0% |
| 24 | $39.56M | $21.87M | 44.7% |
| 28 | $55.84M | $27.97M | 49.9% |
| 32 | $78.82M | $35.76M | 54.6% |
| 36 | $111.26M | $45.74M | 58.9% |
| 40 | $157.05M | $58.49M | 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 | 6% | $51.43M | $19.15M |
| Expected | 9% | $157.05M | $58.49M |
| Optimistic | 12% | $465.25M | $173.28M |
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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