R$1,000.00 becomes R$2,000.00 over 5 years. That's equivalent to 14.87% per year per year.
CAGR Calculator
Find CAGR, total growth, absolute growth, and value multiple from beginning value, ending value, and years.
Period values
Enter the beginning value, the ending value and how long it took.
The curve applies the same CAGR across the whole period; it isn't the real historical path between the beginning and ending values.
| PERIOD | VALUE | SINCE THE START |
|---|---|---|
| Start | R$1,000.00 | — |
| 1.00 y | R$1,148.70 | +14.87% |
| 2.00 y | R$1,319.51 | +31.95% |
| 3.00 y | R$1,515.72 | +51.57% |
| 4.00 y | R$1,741.10 | +74.11% |
| 5.00 y | R$2,000.00 | +100.00% |
How it works
Enter your input
Fill in the values, paste your text, or upload the file this tool works with.
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What is CAGR Calculator?
ProntoUso's CAGR Calculator computes the Compound Annual Growth Rate. Solves for annualized compounding returns over multiple years, projects future portfolio balances, and calculates time horizons needed to reach specific financial goals.
How to Calculate Compound Annual Growth Rate (CAGR)
Determine the annualized compound growth rate for investments or revenue, project future values, and calculate years required for financial targets.
What is CAGR and how it works
CAGR measures the constant annual growth rate required for an investment to grow from its initial value to its final balance, assuming profits compound annually. Unlike simple average return, CAGR reflects compounding returns accurately.
- CAGR formula
CAGR = (final_value / initial_value)^(1 / years) - 1- Total growth (%)
((final_value - initial_value) / initial_value) * 100
$10,000 investment growing to $16,000 over 4 years
Total growth equals $6,000 (60% total growth), representing a Compound Annual Growth Rate (CAGR) of 12.47% per year.
(16000 / 10000)^(1/4) - 1 = 12.47%Three calculation modes
1. Find CAGR: solves annualized growth rate from initial value, final value, and years. 2. Future Value: projects final balance from initial value, annual rate, and years. 3. Time to Target: solves years required for initial capital to reach a goal at a given annual rate.
Important CAGR limitations
CAGR smooths historical performance, hiding interim market volatility. Additionally, CAGR requires strictly positive numbers: the compounding formula cannot evaluate zero or negative balances.
Private financial calculations
All projections and investment calculations execute locally on your device. Financial numbers are never uploaded to servers.
Frequently Asked Questions
What is the difference between CAGR and simple average annual return?
Simple average return sums annual returns and divides by year counts, ignoring compounding. CAGR calculates the true compound rate, accurately reflecting cumulative wealth growth.
Why does the calculator require positive initial and ending values?
The CAGR mathematical formula uses fractional exponentiation. Zero or negative values make continuous compounding math undefined.
How do I calculate years required to double an investment?
In 'Time to Target' mode, enter your initial value (e.g., 10,000), target value (e.g., 20,000), and expected annual rate to calculate the exact years required.
Does CAGR account for monthly deposits or withdrawals?
No. Standard CAGR assumes a single initial investment compounding without intermediate cash flows. For periodic deposits or withdrawals, use Internal Rate of Return (IRR).
How do I read the year-by-year compounding table?
The table models the theoretical annual growth trajectory of your capital assuming it compounds steadily at the calculated CAGR.
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