CAGR Calculator - Annualized Growth Results

A CAGR Calculator converts the change between two comparable values into the constant compounded annual rate that would connect them over a stated period. Enter a beginning value, ending value, and elapsed years to see CAGR, total dollar growth, total percentage growth, and the ending-to-beginning multiple. It is useful for an investment account, a stock or fund, property value, revenue, users, or another measure recorded at two dates.

• • Review an investment: Use purchase and sale values, or opening and closing account balances, to summarize growth over the holding period.
• • Compare different holding periods: Annualization puts a two-year result and a ten-year result on a comparable yearly scale instead of comparing their total percentages directly.
• • Track business growth: Apply the same endpoint method to revenue, customers, assets, or another consistent business measure.
• • Check a report: Re-enter the report's opening value, closing value, and exact period to check whether its stated annualized rate is consistent.

CAGR is a smoothing measure, not a year-by-year performance history. It answers a counterfactual question: what single annual rate would compound the beginning value into the ending value? The actual path may have included rallies, drawdowns, flat years, distributions, or changing costs. The result describes the endpoints and duration, not the path between them.

Use the same unit and return basis at both endpoints. If an ending account balance includes reinvested dividends, the beginning basis should be comparable.

If you need the unannualized change for one holding window, the Percentage Return Calculator provides that view.

The calculation first forms a value multiple, then takes the root associated with the elapsed years. Subtracting one changes the annual growth factor into a rate; multiplying by 100 expresses that rate as a percentage.

• Beginning Value: The positive starting amount, such as an investment balance, property value, or first-year revenue.
• Ending Value: The comparable amount at the end of the measured period. Zero represents a complete loss in this interface.
• Years: Elapsed time between the endpoints. Enter 0.5 for six months or 1.5 for eighteen months rather than rounding.

The calculator retains full calculation precision and rounds each displayed output to two decimal places. A positive result means the ending value is higher; a negative result means it is lower. Equal endpoints produce a 0.00% rate and a 1.00× multiple. A complete loss is represented as -100.00% because the ending value is zero.

According to FINRA, annualized return converts an investment result into an equivalent yearly rate, while dividing total return by the number of years ignores compounding. The SEC's Investor.gov glossary describes CAGR as the annual growth rate implied by an investment's endpoints and elapsed period.

According to FINRA, annualized return converts an investment result into an equivalent yearly rate, while simply dividing total return by the number of years ignores compounding.

According to U.S. Securities and Exchange Commission Investor.gov, CAGR expresses the annual growth rate implied by an investment's beginning value, ending value, and elapsed period.

When you have a list of yearly returns rather than only two endpoints, the Average Return Calculator compares arithmetic and compounded averages.

These four measures describe one endpoint change from different angles. Reading them together helps you avoid treating a whole-period percentage as though it were a yearly return.

CAGR and total growth percentage answer different questions. A 50% increase over one year is not the same annualized experience as a 50% increase over ten years. Read the time period, endpoint basis, and risk context before ranking two results.

The growth multiple is a quick reasonableness check. When the ending value is below the beginning value, the multiple should be below 1.00 and both growth measures should be negative.

For a broader return breakdown that separates fees and income, use the Rate of Return Calculator.

This CAGR Calculator accepts values that describe the same asset, account, or business measure. Gather the endpoint dates first because a rounded time period can materially change an annualized result for a short window.

1. 1 Enter the beginning value: Type the positive amount recorded at the start. This is the denominator for the multiple and total percentage growth.
2. 2 Enter the ending value: Add the comparable amount at the end. Include reinvested income only when it is treated consistently at both endpoints, and enter zero only for a complete loss.
3. 3 Enter elapsed years: Use the time between the valuation dates. Enter a decimal for a partial year, such as 0.5 for six months.
4. 4 Calculate and review the outputs: Select Calculate or change a field. The page updates CAGR, total dollar growth, total percentage growth, and the ending-to-beginning multiple.
5. 5 Interpret with context: Compare only with results using the same return basis, dates, fees, taxes, and risk context. Historical CAGR describes a period; it does not forecast the next one.

For a fund that grew from $8,000 to $10,000 over four years, enter 8,000, 10,000, and 4. The outputs are 25.00% total growth, 5.74% CAGR, and a 1.25× growth multiple. The annualized figure is more suitable than the total percentage when the comparison fund had a different holding length.

For ROI, profit, and capital multiple together, use the Return on Investment Calculator.

A single endpoint change can be difficult to compare across investments or business periods. These outputs separate size, duration, and annualized pace so the result can support a specific decision.

• • Compare unlike holding lengths: CAGR converts endpoint growth into a yearly equivalent, allowing a three-year result to be compared with a seven-year result more responsibly.
• • Keep dollars and rates together: Total growth shows money gained or lost, while growth percentage and CAGR show the change relative to the starting amount and time.
• • Spot a denominator mistake: The multiple and total percentage act as quick checks when reconciling a report, spreadsheet, or statement.
• • Use a partial-year period: Decimal years let you annualize a real six-month or eighteen-month interval without silently rounding the duration.
• • Explain compounding: The formula and examples show why a 50% whole-period increase does not automatically mean a 50% annual return.

These benefits are strongest when both endpoints use a consistent basis. If one value is before fees and the other is after fees, the result combines different measures. If an account received deposits during the period, endpoint CAGR reflects both performance and the timing of those deposits.

For one asset's gain or loss over a defined holding window with income included, a holding-period return measure keeps the period return in focus.

For one asset's gain or loss over a defined holding window with income included, the Holding Period Return Calculator keeps the period return in focus.

The equation is simple, but input choices determine what the result means. Check these factors before comparing a CAGR with a benchmark or using it in a projection.

• • CAGR smooths interim volatility. Two investments can share the same rate even when one had a steady path and the other suffered a large drawdown.
• • A historical CAGR is backward-looking. It does not estimate the probability of reaching the same ending value or account for future market conditions.
• • The real-valued formula requires a positive beginning value and a non-negative ending value. A negative balance needs a different accounting definition.

NYU Stern finance materials distinguish geometric returns from arithmetic averages and explain why geometric measures are more appropriate for longer horizons. That distinction matters when someone substitutes an average of yearly percentages for a compounded multi-period rate.

Use a cash-flow return method when deposits or withdrawals occur on different dates because two endpoints cannot show when those transactions happened.

According to NYU Stern School of Business, NYU Stern finance materials explain that geometric returns are more appropriate than arithmetic averages for measuring growth over a long horizon.

Use the XIRR Calculator when deposits or withdrawals occur on different dates because it accounts for cash-flow timing.