How to Calculate Real Return
Hesaplayıcı2 min read
Short answer
Real return is the return of an investment after inflation: it shows how much your purchasing power really grew. The formula is (1 + nominal return) / (1 + inflation) − 1. For example, an investment that earned 40% from August 2025 to August 2026, when Turkish CPI rose 31.51%, has a real return of about 6.46%.
Formula
real return = (1 + nominal return) / (1 + inflation) − 1
- nominal return: the investment’s return over the period as a decimal (0.40 for 40%), after tax and fees
- inflation: the CPI change over the same period as a decimal (0.3151 for 31.51%)
- real return: the result; when it is negative, your money buys less even if it grew
This is the Fisher equation. For Türkiye, take inflation from the consumer price index (CPI) that TurkStat (TÜİK) publishes every month. For a one-year investment, use the annual change: in August 2026 it was 31.51%, while the twelve-month average change was 31.79%.
Step-by-step example
An investment of 100,000 TRY grew to 140,000 TRY from August 2025 to August 2026:
- Find the nominal return: (140,000 − 100,000) / 100,000 = 40%.
- Take inflation: the annual CPI change for August 2026 is 31.51% (TurkStat).
- Move the initial value to today’s prices: 100,000 × (1 + 0.3151) = 131,510 TRY.
- Find the real return: 140,000 / 131,510 − 1 ≈ 6.46%. This is the same as (1.40 / 1.3151) − 1.
In today’s prices, the investment’s purchasing power grew by 8,490 TRY. If you enter 131,510 as the initial value, 140,000 as the final value and 1 year as the period in an investment return calculation, the total return is the real return. The 40% return in the example is an illustration, not a market return.
Real return by nominal return
100,000 TRY for 1 year, inflation 31.51% (CPI, August 2026):
| Nominal return | Final value | Real return |
|---|---|---|
| 20% | 120,000 TRY | −8.75% |
| 34% | 134,000 TRY | 1.89% |
| 40% | 140,000 TRY | 6.46% |
| 50% | 150,000 TRY | 14.06% |
The 34% row is the net return of a 1-year Turkish lira deposit at a gross 40% after 15% withholding. When the nominal return is below inflation, the real return is negative.
A common mistake: subtracting inflation
Subtracting inflation from the nominal return (40 − 31.51 = 8.49 points) overstates the real return; the correct result is 6.46%. The higher the inflation, the wider the gap between the two methods. Also make sure both rates cover the same period: do not compare a yearly return with a monthly CPI change.
Worked example: An investment of 100,000 grew to 150,000 in 3 years
Annualized return (CAGR)
14.47%
- Total return
- 50.00%
- Profit or loss
- 50,000
- Holding period
- 3 years
Step by step
Holding period
t = years + months/12 + days/365
t = 3 + 0/12 + 0/365 = 3 years
Profit or loss
profit = final value − initial value
profit = 150,000 − 100,000 = 50,000
Total return
total return = (final value − initial value) / initial value × 100
total return = (150,000 − 100,000) / 100,000 × 100 = 50.00%
Annualized return (CAGR)
annualized return = ((final value / initial value)^(1/t) − 1) × 100
annualized return = ((150,000 / 100,000)^(1/3) − 1) × 100 = 14.47%