Compound Growth Calculator — CAGR & Final Value
Enter an initial value, an annual growth rate, and a number of periods to see the final compounded value, total return percentage, growth multiple, and the equivalent CAGR. Works for money, users, revenue, or any quantity that grows at a constant rate.
%
Period unit
Value after compound growth over the full period
- 1
Rate per period
8% ÷ 100 ÷ 1 = 0.08Annual rate converted to the selected period unit. - 2
Total periods
10 - 3
Growth factor
(1 + 0.08)^10 = 2.158925 - 4
Final value
1,000 × 2.158925 = 2,158.92
How does this calculator work?
Compound growth: Final = V₀ × (1 + r)^n, where r is the per-period rate. Enter initial value, annual rate, and number of periods (years, quarters, or months) to get the final value, total return %, growth multiple, and CAGR. The curve shows how compounding accelerates growth over time.
Formula
How this is calculated
Compound growth means each period's gain is added to the base before the next period's rate is applied — so growth accelerates over time rather than staying flat. The formula V = V₀ × (1 + r_period)^N computes the final value after N periods, where r_period is the growth rate per period (annual rate ÷ periods per year).
This calculator supports annual, quarterly, and monthly compounding to match different use cases: annual for revenue or GDP projections, monthly for savings accounts, quarterly for earnings. Changing the period unit at the same annual rate keeps the effective compounding frequency consistent.
The effective CAGR shown is the single annual rate that would produce the same total growth if compounded once per year — useful for comparing growth rates expressed over different horizons. The chart shows how the value curves upward as compounding accelerates growth in later periods. Note: this model assumes a constant growth rate with no contributions or withdrawals.
Frequently asked questions
With simple growth, the gain each period is a fixed amount (a percentage of the original value only). With compound growth, the gain each period is a percentage of the current value — which includes all previous gains — so the absolute gain grows period by period, producing an exponential curve.
The Compound Annual Growth Rate (CAGR) is the single constant annual rate that would turn the initial value into the final value over the given number of years. It is used to compare growth rates across investments or time periods of different lengths, smoothing out year-to-year volatility.
Yes — compound growth applies to any exponentially growing quantity: population, app users, revenue, website traffic, or biological organisms. Enter the initial count as "initial value" and the estimated periodic growth rate, and the formula is identical.
TG we-Calculate Editorial Team. (2026). Compound Growth Calculator — CAGR & Final Value [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/compound-growth-calculator
TG we-Calculate Editorial Team. "Compound Growth Calculator — CAGR & Final Value." TG we-Calculate. 2026. https://we-calculate.com/calculator/compound-growth-calculator.
TG we-Calculate Editorial Team, "Compound Growth Calculator — CAGR & Final Value," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/compound-growth-calculator
@misc{wecalculate_compound_growth_calculator, title = {Compound Growth Calculator — CAGR & Final Value}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/compound-growth-calculator}}, year = {2026}, note = {TG we-Calculate} }
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