Last updated: 2026-05-19

Economic growth rate

The economic growth rate is the percentage change in a measure of economic output — most commonly gross domestic product (GDP) — between two points in time. It expresses expansion or contraction of an economy as a rate, which makes output comparable across periods of different length and across economies of different size. The same measure applies to a national economy, a regional output figure, or a single sector's value-added.

From two output figures and a time span, three related quantities follow: the total growth rate over the whole period, the annualized growth rate (the compound annual growth rate, or CAGR), and the absolute monetary change.

How to calculate GDP growth rate

Single-year growth rate

$\text{Growth rate} = \frac{G_t - G_0}{G_0}$

If U.S. nominal GDP was $20,000 billion in one year and $21,500 billion the next, total growth = (21,500 − 20,000) / 20,000 = 7.5 %.

Annualized growth rate (CAGR)

For multi-year spans the annualized growth rate — also called the Compound Annual Growth Rate (CAGR) — is the standard measure:

$\text{CAGR} = \left(\frac{G_t}{G_0}\right)^{\frac{1}{t}} - 1$

This is the constant per-year rate that, compounded over the period, produces the same total growth. It removes the distortion of comparing a 1-year move to a 10-year move at face value.

Worked example

Suppose a country's GDP grows from $1.80 trillion to $2.43 trillion over 6 years:

• Total growth = (2.43 − 1.80) / 1.80 = 35.0 %
• CAGR = (2.43 / 1.80)^(1/6) − 1 = (1.35)^0.1667 − 1 ≈ 5.13 % per year
• Absolute change = $0.63 trillion

The headline figure of 35 % covers the whole 6-year span; the annualized 5.13 % is the more comparable figure when set against other economies or periods of different length.

Why the formula uses geometric compounding

The CAGR formula reflects how growth actually works: each year's gain is a percentage of an already-larger base. A country that grows 5 % in year 1 and 15 % in year 2 does not grow 20 % total — it grows 20.75 % (1.05 × 1.15 = 1.2075). Conversely, that cumulative gain corresponds to a CAGR of $\sqrt{1.2075}$ − 1 ≈ 9.87 %, not 10 % (the arithmetic average of the two rates). Geometric compounding gives the correct answer; arithmetic averaging overstates it.

Nominal vs. real GDP growth

The formula is identical whether the inputs are nominal or real GDP — the distinction lies entirely in which series is used as input:

For most economic analysis, real GDP growth is the more meaningful figure because it reflects actual increases in goods and services produced, rather than price-level changes. The GDP deflator converts nominal to real GDP; major statistical agencies — the Bureau of Economic Analysis, Eurostat, and the Cabinet Office of Japan — publish both series.

Benchmarks for healthy GDP growth

Growth benchmarks vary by economic context:

These are rules of thumb. Demographic trends, productivity, and resource endowments all shift the "sustainable" rate. Japan has sustained low but positive real growth for decades with very low population growth; fast-growing emerging economies often see higher variance.

CAGR vs. total growth: cross-period comparison

CAGR places growth across different time horizons on equal footing. A statement such as "Country A grew 30 % over 10 years while Country B grew 12 % over 3 years" does not reveal which grew faster per year until the annualized rate is computed:

• Country A: (1.30)^(1/10) − 1 ≈ 2.66 % per year
• Country B: (1.12)^(1/3) − 1 ≈ 3.85 % per year

Country B grew faster on an annualized basis, despite the smaller headline number.