CAGR Calculator
Calculate compound annual growth rate from a beginning value, ending value, and time period. Use CAGR to compare smoothed multi-year growth across investments, business metrics, or account balances.
Formula
CAGR
Inputs
3 Controls
Output
Annual Growth
Live calculator
CAGR inputs
Compound annual growth rate
12.47%
Total growth
80%
Absolute change
$8,000.00
Years
5
Growth summary
Formula:
CAGR = (ending / beginning)^(1 / years) - 1
Formula
CAGR
Inputs
3 Controls
Output
Annual Growth
Turn multi-year change into annualized growth
Investment growth
Summarize how an investment moved from a starting value to an ending value over time.
Business metrics
Compare revenue, users, sales, or market size growth across different periods.
Performance summaries
Translate uneven multi-year movement into a single annualized growth rate.
Interpret this calculation before using it
Compound annual growth rate is the constant annual rate that would connect one beginning value with one ending value over the entered duration. It smooths the path into a single comparable number. CAGR does not say that the value actually rose by that percentage in every intervening year, and it does not reveal volatility.
Worked example
A value that grows from $10,000 to $15,000 over five years has CAGR = (15,000 / 10,000)^(1/5) - 1, or about 8.447% per year. Compounding $10,000 by that rate for five periods returns approximately $15,000. The calculator may show more decimals internally than the rounded percentage displayed, so reverse calculations can differ by a few cents.
Assumptions to keep
- The beginning value is positive, the ending value is nonnegative, and the elapsed duration is greater than zero.
- No intermediate deposits, withdrawals, distributions, fees, taxes, or exchange-rate changes are modeled by the two-endpoint formula.
- The result is historical or scenario arithmetic and is not a forecast of future returns.
Limits of this result
CAGR can make a volatile path look smooth and can be misleading when external cash flows materially changed the balance. A money-weighted or time-weighted return method may be needed for those cases. Use CAGR to compare like-for-like endpoints over matching periods, and retain the underlying annual values when risk or variability matters.
Useful next step: ROI Calculator — Use ROI when the primary question is total gain relative to cost rather than a smoothed annual growth rate.
Annualized growth without spreadsheet setup
Simple inputs
- Only beginning value, ending value, and years are needed to calculate CAGR.
- Total growth and absolute change are shown beside the annualized rate for context.
- The calculator handles negative growth and zero ending value scenarios clearly.
- The formula is visible on the page so users can audit the annualized result.
Interpretation guardrails
- The page explains that CAGR smooths performance and does not show volatility or drawdowns.
- Users are guided toward ROI and future value tools when cash flows or projections matter.
- Copy and print actions preserve the values and years behind the result.
- The FAQ covers common misunderstandings about CAGR versus average annual return.
CAGR support for finance, business, and education
Investors
Compare annualized growth across funds, stocks, accounts, or asset classes.
Business teams
Summarize multi-year metric growth for planning, reporting, and market analysis.
Students
Learn how compounding turns a beginning value into an ending value over time.
How it works in three quick steps.
Enter beginning and ending values
Add the starting value and ending value for the investment, account, revenue line, or metric being measured.
Add the time period
Enter the number of years between the beginning and ending values, including decimals for partial years.
Review annualized growth
Compare CAGR, total growth, and absolute change to understand the smoothed yearly growth rate.
Save, share, and print your CAGR result
Copy the growth summary
Save CAGR, total growth, absolute change, and years in a compact note.
Print the calculation
Print after entering beginning and ending values so the formula is attached to the result.
Compare metrics
Run the same time period across several investments, products, or business categories.
Frequently Asked Questions
What is CAGR?
What formula does this CAGR calculator use?
How is CAGR different from average annual return?
Can CAGR be negative?
When should I not rely on CAGR alone?
Can CAGR be used for business metrics?
Related calculators
Why CAGR is useful for comparing growth
CAGR is useful because it reduces a multi-year change to one annualized rate. That makes it easier to compare investments, accounts, products, or business metrics that have different starting and ending values. Without CAGR, a large absolute change can look impressive even when it happened over a long period, and a smaller change can look weak even when it happened quickly. Toolarithm's CAGR Calculator keeps the annualized rate, total growth, and absolute change together so the result has context.
The tradeoff is that CAGR smooths the path. Real investments and business metrics rarely move in a straight line. A value can rise sharply, fall, recover, and still end with the same CAGR as a steadier path. That is why CAGR should be used with supporting metrics when risk, volatility, or cash-flow timing matters. The related ROI, future value, and compound interest example pages help users decide when CAGR is enough and when a richer model is needed.
Who maintains this page
Ownership and review
Written and maintained by the Toolarithm editorial team. No review date is shown without a maintained editorial record. No independent professional review is claimed.
Methodology
Formulas are checked with worked examples and boundary cases. Timing, compounding, payment, and rounding assumptions remain visible; results are educational estimates, not financial advice.
Read the editorial methodologyDates and sources
Review dates change only after a substantive method or content check.
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