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Real Interest Rate Calculator — result sheet
Compare a nominal interest rate with an entered inflation rate using the exact Fisher relation and the simple nominal-minus-inflation approximation.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Exact real rate = ((1 + nominal rate/100) ÷ (1 + inflation rate/100) − 1) × 100; approximation = nominal rate − inflation rate.
The real rate compares the nominal growth factor with the inflation growth factor. The page shows both the exact Fisher relationship and the familiar subtraction approximation so the visitor can see when the shortcut is close and when it is not.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Nominal interest rate — %; minimum -99.999999; maximum 1000000
- Inflation rate — %; minimum -99.999999; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Nominal interest rate | 6 |
| Inflation rate | 2 |
Exact real rate ≈ 3.922%; subtraction approximation = 4%; difference ≈ −0.078 percentage points.
Assumptions and limits
- Nominal and inflation rates refer to the same period and are expressed as percentages.
- The exact calculation uses one nominal and one inflation growth factor with no cash flows or fees.
- The subtraction result is an approximation, not a second exact definition.
- Inflation is entered by the visitor; the calculator does not forecast an index or select a country’s CPI series.
- This is not an investment recommendation, purchasing-power guarantee, or borrowing decision.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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