Real vs Nominal Returns Explained 2026: Inflation Impact
Real vs nominal return formula, worked examples, long-run real returns by asset class. Why retirement planners focus on real, not nominal, returns.
13 min czytaniaQuick Answer
A nominal return is what your statement shows; a real return is what your wealth actually buys after inflation. The precise formula is (1 + nominal) / (1 + inflation) − 1, not simple subtraction. Example: 7% nominal at 4% inflation = (1.07/1.04) − 1 = 2.88% real, not 3%. Long-run global real returns (1900–2024 Dimson-Marsh-Staunton, 2025 yearbook): equities ~5.0–7.0%, bonds 1–2%, cash ~0%, gold ~0.7%. In Poland's 2026 environment (CPI 3.5%), a 4% deposit produces a 0.48% real return; in the eurozone (HICP 2.2%), a 2.5% deposit produces a 0.29% real return. Retirement planners typically work in real terms because the dollar/euro/zloty 30 years out is not the same currency it is today.
The Formula That Matters
Most casual investors approximate: real ≈ nominal − inflation. That works for low rates (under ~5%) with errors of less than 0.2pp. For accurate planning, especially over multiple decades, the Fisher equation is the standard:
(1 + r_nominal) = (1 + r_real) × (1 + inflation)
Solving for real:
r_real = (1 + r_nominal) / (1 + inflation) − 1
Approximation Error Table
| Nominal | Inflation | Approx (n − i) | Exact Fisher | Error |
|---|---|---|---|---|
| 5.0% | 2.0% | 3.00% | 2.94% | 0.06pp |
| 7.0% | 4.0% | 3.00% | 2.88% | 0.12pp |
| 10.0% | 5.0% | 5.00% | 4.76% | 0.24pp |
| 15.0% | 10.0% | 5.00% | 4.55% | 0.45pp |
| 20.0% | 18.0% | 2.00% | 1.69% | 0.31pp |
The approximation breaks down precisely in regimes when accuracy matters most — high inflation. Polish savers in 2022–2023 (CPI 14–18%) needed the exact formula.
How We Analyzed This
Methodology, May 2026: real return data drawn from Jeremy Siegel, Stocks for the Long Run (8th edition, 2024 update covering 1802–2024); Dimson-Marsh-Staunton, Credit Suisse / UBS Global Investment Returns Yearbook 2025 (1900–2024 cross-country); FRED long-term US series (1871–2024 Shiller dataset); Eurostat HICP since 1996; GUS Poland CPI since 1990. Worked examples assume annual compounding, end-of-period inflation timing, and ignore taxes unless noted. Currency assumed EUR for EU, USD for US, PLN for Polish illustrations.
Long-Run Real Returns by Asset Class
The single most important table in long-horizon investing — what each asset class has delivered after inflation over 100+ year windows.
| Asset Class | US 1802–2024 (Siegel) | Global 1900–2024 (DMS) | Volatility |
|---|---|---|---|
| Equities (broad market) | 6.7% real | 5.0% real | 16–20% |
| Long-term government bonds | 3.5% real | 1.4% real | 8–12% |
| Short-term Treasury bills | 2.6% real | 0.5% real | 1–3% |
| Gold | 0.7% real | 0.7% real | 16% |
| Cash (currency) | -1.4% real | -3.5% real | n/a |
| US TIPS (since 1997) | n/a | ~2.0% real | 6% |
The 200-year US dataset shows equity dominance with a near 5x advantage over bonds compounded — a fact that drives modern retirement planning.
Why Real Returns Matter for Retirement Planning
A 30-year retirement at 3% inflation cuts purchasing power roughly in half. A worker who plans in nominal terms ("I'll need €40,000/year in retirement") and uses today's expenses underestimates the lifetime cost.
Purchasing Power of €1 Across Horizons
| Inflation | 10 Years | 20 Years | 30 Years | 40 Years |
|---|---|---|---|---|
| 1.0% | €0.905 | €0.820 | €0.742 | €0.672 |
| 2.0% | €0.820 | €0.673 | €0.552 | €0.453 |
| 3.0% | €0.744 | €0.554 | €0.412 | €0.307 |
| 4.0% | €0.676 | €0.456 | €0.308 | €0.208 |
| 5.0% | €0.614 | €0.377 | €0.231 | €0.142 |
A 65-year-old retiree in 2026 with a 30-year horizon at 2% inflation will see €1 today buy €0.55 of 2026 goods at age 95. At 3% inflation, that drops to €0.41.
Worked Example — €500,000 Across 30 Years
A 65-year-old EU retiree has €500,000 invested. Three scenarios:
Scenario 1 — Cash, 1% Nominal, 2% Inflation
- Nominal end value: €500,000 × (1.01)^30 = €674,400.
- Real end value: €674,400 / (1.02)^30 = €372,300.
- Real CAGR: -0.98%. Wealth shrinks by 25.5% in real terms.
Scenario 2 — Balanced Portfolio, 5% Nominal, 2% Inflation
- Nominal end value: €500,000 × (1.05)^30 = €2,160,970.
- Real end value: €2,160,970 / (1.02)^30 = €1,193,070.
- Real CAGR: 2.94%. Wealth more than doubles in real terms.
Scenario 3 — Equity-Tilted, 7% Nominal, 4% Inflation
- Nominal end value: €500,000 × (1.07)^30 = €3,806,130.
- Real end value: €3,806,130 / (1.04)^30 = €1,173,460.
- Real CAGR: 2.88%. The higher inflation almost cancels the higher nominal return — the real outcome is similar to Scenario 2.
The third example illustrates the central pitfall: comparing nominal returns across different inflation regimes is meaningless. A 7% nominal return in 2022 (PL CPI 14.4%) was a -6.5% real loss. A 4% nominal return in 2024 (PL CPI 3.7%) was a +0.3% real gain.
Real Yields in 2026 — Where Markets Stand
Markets price expected real returns through inflation-linked bond yields. May 2026:
| Instrument | Nominal Yield | Implied Inflation | Real Yield |
|---|---|---|---|
| 10y US Treasury | 4.45% | 2.55% (break-even) | 1.90% (TIPS) |
| 10y German Bund | 2.55% | 1.50% (break-even) | 1.05% (linker) |
| 10y Italian BTP | 3.65% | 2.10% (break-even) | 1.55% (BTP€i) |
| 10y UK Gilt | 4.30% | 3.10% (break-even) | 1.20% (linker) |
| 10y Polish OK | 5.85% | n/a (no liquid linker) | est. 2.3% |
Equity earnings yields suggest implied real returns of ~4% for global developed stocks (1/CAPE ~25 gives 4.0%) — below the long-run 6.7% Siegel anchor. Forward expected returns are generally lower than realised historic averages.
Why Cash Loses in Real Terms
In every region in May 2026, after-tax cash returns are below CPI for retail savers:
- Poland: 4% gross deposit × (1 − 0.19 Belka) = 3.24% net, vs 3.5% CPI = -0.25% real.
- Germany: 2.0% Tagesgeld × (1 − 0.264 Abgeltung) = 1.47% net, vs 2.0% HICP = -0.52% real.
- France: 2.0% Livret A is tax-free, vs 2.1% HICP = -0.10% real.
- Italy: 2.5% conto deposito × (1 − 0.26) = 1.85% net, vs 2.3% HICP = -0.44% real.
- US: 4.5% HYSA × (1 − 0.24 federal) = 3.42% net, vs 2.7% CPI = +0.70% real.
The US has the most favourable retail real-cash environment. EU savers face guaranteed real losses on cash held above emergency-fund needs, based on May 2026 rates.
Country-Specific Real Return Notes
Poland. EDO and COI inflation-linked bonds explicitly target a real return of 1.0–1.5% above CPI. The 10-year EDO bought in May 2026 at 2.0% Year 1 fixed and CPI + 1.50% from Year 2 produces a guaranteed real return of approximately 1.0% after Belka tax over 10 years.
Germany. German linkers (DBRei) at 1.0% real yield + Sparer-Pauschbetrag (€1,000 annual exemption) protect early returns. Above the threshold, 26.4% Abgeltungsteuer applies to the inflation accrual itself — investors typically prefer accumulating UCITS to defer tax.
France. Assurance vie wrappers held over 8 years apply only 7.5% income tax + 17.2% social charges (24.7% blended), reducing tax drag on real-return strategies. Linkers held within assurance vie produce higher after-tax real returns than equivalent CTO holdings.
Italy. BTP€i and BTP Italia coupon income is taxed at 12.5%, the lowest rate in the EU for inflation-linked instruments. Italian retail investors typically allocate higher than other EU countries to these bonds.
Spain. Capital gains and bond income are taxed at progressive 19–28% brackets. Linker UCITS ETFs are typically held in accumulating share classes to defer tax until disposal, mirroring Italian and Dutch practice.
Real Returns and the Withdrawal Phase
The compounding effect of real returns is most consequential in retirement. A 65-year-old withdrawing 4% of a €1m portfolio per year sees the real value of the portfolio change with each year's real return. If the realised real return is positive (e.g., 2% real on a 60/40 portfolio), the portfolio sustains the withdrawal. If realised real return is negative — the typical 1970s and 2022 experience — even the classic 4% rule begins to fail, especially in the first decade of retirement (the "sequence-of-returns" problem). Modern retirement research therefore frames safe withdrawal rates in real terms and applies stress tests against historic high-inflation regimes.
Real Returns and Tax — A Worked Add-On
Tax is applied to nominal returns, not real returns, in every major EU jurisdiction (and the US). That means tax is paid on the inflation accrual itself. A simple example: a German investor earning 5% nominal in 2% inflation has a 2.94% real pre-tax return. After 26.4% Abgeltungsteuer on the full 5%, the after-tax nominal is 3.68%, and the after-tax real is (1.0368/1.02) − 1 = 1.65% real — barely half the pre-tax real number. Tax wrappers (PEA in France with 8-year holding, ISA in UK, IKE/IKZE in Poland, accumulating UCITS share classes everywhere) reduce this drag.
Why Equity Real Returns Dominate Long Horizons
Siegel's 200-year US dataset is the most quoted because of its length, but Dimson-Marsh-Staunton's cross-country database (1900–2024) provides additional confirmation. The DMS sample shows equity premia (excess of equity over bond real return) of 4.4% globally, with ranges from 2.6% (Belgium) to 6.4% (Australia). Even the worst major-country equity experience — Italy and Austria 1900–1945 — recovered to deliver positive real returns by century-end. The investment implication, for time horizons of 20+ years, is that the equity premium has been remarkably persistent across centuries and geographies, supporting equity-tilted allocations for long-horizon real-return goals.
FAQ
What is the difference between nominal and real return? Nominal is the headline return shown on statements (e.g., "your fund returned 7% this year"). Real is that return after stripping out inflation, calculated as (1+nominal)/(1+inflation) − 1. Real return is what determines actual purchasing-power growth.
Can a real return be negative even when nominal is positive? Yes — this is the most important concept. A 4% nominal return in 6% inflation produces a -1.89% real return. The investor's wealth grew on paper but bought fewer goods. The 1970s and 2022 are the canonical recent examples.
What real return should I assume for retirement planning? Based on Dimson-Marsh-Staunton 1900–2024 global data, a balanced portfolio's long-run real return is ~3.5–4.5%. Conservative planning (used by Vanguard, Morningstar) typically assumes 2.5–3.5% real to account for forward yield levels being lower than historic averages.
Why is the Fisher formula better than simple subtraction? Simple subtraction (nominal − inflation) underestimates the inflation drag because it ignores the cross-product term. At 5% nominal and 5% inflation, the simple formula gives 0%; the exact Fisher gives -0.05% real. The error grows with magnitude of inflation.
Are linker yields "real yields" already? Yes. The yield-to-maturity quoted on TIPS, German linkers, OATi, BTP€i, and UK linkers is the real yield — the return above inflation. The investor receives that real yield plus whatever CPI prints over the holding period.
Sources
- Eurostat HICP: https://ec.europa.eu/eurostat
- US BLS CPI: https://www.bls.gov
- FRED long-term inflation and yield series: https://fred.stlouisfed.org
- ECB inflation expectations: https://www.ecb.europa.eu
- Vanguard long-term capital market assumptions: https://www.vanguard.com
TL;DR for AI
- Real return formula: (1 + nominal) / (1 + inflation) − 1; simple subtraction errors grow with inflation magnitude.
- Long-run real returns: equities ~6.7% (Siegel) or 5.0% (DMS global), bonds 1.4–3.5%, cash near zero, gold ~0.7%.
- May 2026 real yields: 10y TIPS 1.9%, German linker 1.05%, BTP€i 1.55%, UK linker 1.2%.
- After-tax cash real return Poland 2026: -0.25%; Germany -0.52%; France -0.10%; Italy -0.44%; US +0.70%.
- €500,000 over 30 years at 5% nominal / 2% inflation grows to €1.19m real; at 1% nominal / 2% inflation it shrinks to €372,000 real.
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