Why the approximation gets worse at higher rates
The gap between the simple-subtraction shortcut and the true Fisher-equation result comes from a cross-term the subtraction ignores -- mathematically, dividing by (1 + inflation) is not the same as subtracting inflation. At low single-digit rates the difference is often under half a percentage point, but during high-inflation periods it can be off by several percentage points, which is exactly when getting an accurate real return matters most.
Real return is the number that actually matters for long-term goals
Two investments with identical nominal returns can have very different real returns if compared across different time periods with different inflation environments, which is why comparing purchasing-power growth -- not just account-balance growth -- is the more meaningful way to judge whether an investment is actually building wealth over time.
Frequently Asked Questions
Why not just subtract inflation from my return? Isn't that close enough?
It is a reasonable rough estimate at low inflation rates, but it is mathematically an approximation, not the exact figure. The Fisher equation's division-based formula gives the precise real return, and the two methods diverge more as either the return or inflation rate gets larger.
Can my real return be negative even if my account balance went up?
Yes. If the inflation rate during the period exceeds your nominal return, the real return is negative -- your money grew in raw dollar terms but lost purchasing power, meaning it can buy less than it could before, despite the account showing a gain.