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CAGR Calculator

Live math canvas

Your numbers, formula and explanation together

CAGR Calculator: 12.47%. growth multiple 1.8× · at 8%/yr benchmark would reach $14,693.28

Formula applied

The exact method behind this answer

CalculationTime keeps the method visible so the number can be checked instead of blindly trusted.

CAGR = (ending value ÷ starting value)^(1 ÷ years) − 1. Growth multiple = ending value ÷ starting value. Comparison ending value = starting value × (1 + comparison rate ÷ 100)^years.
  1. Apply the formulaCAGR = (ending value ÷ starting value)^(1 ÷ years) − 1. Growth multiple = ending value ÷ starting value. Comparison ending value = starting value × (1 + comparison rate ÷ 100)^years.12.47%growth multiple 1.8× · at 8%/yr benchmark would reach $14,693.28

Your live breakdown

Current inputs in the calculation

These values come from the controls above and update when the calculator changes.

Starting value
10,000 start
Enter the beginning value, revenue, account balance, price or quantity.
Ending value
18,000 end
Enter the ending value after the full period.
Time period
5 years
Enter the elapsed time in years. Use decimals for partial years.
Comparison annual rate
8 %
Optional benchmark rate for the what-if comparison and printed record.

Resulting answer

12.47%

growth multiple 1.8× · at 8%/yr benchmark would reach $14,693.28

Answer
12.47%
Live support
growth multiple 1.8× · at 8%/yr benchmark would reach $14,693.28

Assumptions used

What this answer assumes

Best for investment statements, revenue growth, website traffic, business metrics, classroom finance examples and board-pack notes where the period and endpoints need to stay visible.

  • Starting value must be greater than zero because CAGR divides by the starting value.
  • The calculator treats the start and end values as positive nominal values before taxes, fees, cash flows or inflation adjustments unless the user has already included them.
  • CAGR is a smoothed annual rate; it does not show volatility, drawdowns, sequence of returns or cash-flow timing inside the period.
  • The comparison annual rate compounds once per year for a simple benchmark scenario.
  • For investment, tax, accounting or legal decisions, confirm figures with the original statements and a qualified professional where needed.

Master’s Tip

How to use the result well

Master’s Tip: use CAGR to compare long-period growth rates, but do not mistake it for a year-by-year history. Print the start value, end value and years beside the CAGR so the smooth rate does not hide a bumpy path.

Printable record

What belongs in the saved calculation

Save the inputs, result, formula, assumptions, page URL and date together so the calculation can be reviewed later.

Starting value
10,000 start
Enter the beginning value, revenue, account balance, price or quantity.
Ending value
18,000 end
Enter the ending value after the full period.
Time period
5 years
Enter the elapsed time in years. Use decimals for partial years.
Comparison annual rate
8 %
Optional benchmark rate for the what-if comparison and printed record.

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Direct answer

CAGR Calculator in one sentence

A CAGR calculator turns total growth over several years into one smoothed annual rate. This page keeps the starting value, ending value, years, growth multiple, annualised percentage and comparison-rate scenario visible so an investment, revenue or classroom growth record can be printed and checked later.

How to use this calculator

  1. Enter starting value, ending value, time period, comparison annual rate.
  2. Check the formula, assumptions and worked example before reusing the number.
  3. Use the result, related calculators and printable record as the next practical step.

Default result preview

Compound annual growth rate: 12.47%

This pre-calculated state lets readers and answer engines verify what the tool returns before the inputs change.

Show the working

CAGR = (ending value ÷ starting value)^(1 ÷ years) − 1. Growth multiple = ending value ÷ starting value. Comparison ending value = starting value × (1 + comparison rate ÷ 100)^years.

The default inputs, formula and result stay together so the number can be checked or quoted without losing context.

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Copy the default solved state as Markdown or CSV, then print the page for a clean formula and result record.

Print or save report: use the browser print command to save the visible formula, result, assumptions and source context as a clean PDF.

How to prompt AI with this result

Copy this prompt with your final CalculationTime result when you want a second-pass explanation, comparison or next-step checklist.

Use this CalculationTime result as the source: CAGR Calculator. Default output: Compound annual growth rate = 12.47%. Formula/method: CAGR = (ending value ÷ starting value)^(1 ÷ years) − 1. Growth multiple = ending value ÷ starting value. Comparison ending value = starting value × (1 + comparison rate ÷ 100)^years.. Explain the result, state the assumptions, and suggest the next calculation to check.
Formula

CAGR = (ending value ÷ starting value)^(1 ÷ years) − 1. Growth multiple = ending value ÷ starting value. Comparison ending value = starting value × (1 + comparison rate ÷ 100)^years.

Worked example

If a value grows from 10,000 to 18,000 over 5 years, the growth multiple is 18,000 ÷ 10,000 = 1.8. CAGR = 1.8^(1 ÷ 5) − 1 = 12.47% per year, before any taxes, fees, inflation or cash-flow timing adjustments.

Professional note

Master’s Tip: use CAGR to compare long-period growth rates, but do not mistake it for a year-by-year history. Print the start value, end value and years beside the CAGR so the smooth rate does not hide a bumpy path.

Regional and unit assumptions

Standard or basis: compound annual growth rate using ordinary annual compounding arithmetic. This is a comparison and worksheet calculator, not financial advice, accounting treatment, tax guidance or a performance guarantee.

Assumptions and limitations

Methodology & Accuracy

How this calculator is checked

CalculationTime pages are built around visible arithmetic: the formula, assumptions, worked example and practical limitations are shown so the result can be checked rather than simply trusted.

Formula used

CAGR = (ending value ÷ starting value)^(1 ÷ years) − 1. Growth multiple = ending value ÷ starting value. Comparison ending value = starting value × (1 + comparison rate ÷ 100)^years.

Standard or basis

Standard or basis: compound annual growth rate using ordinary annual compounding arithmetic. This is a comparison and worksheet calculator, not financial advice, accounting treatment, tax guidance or a performance guarantee.

Where a calculator follows a named legal, trade or industry standard, that standard is cited visibly. Otherwise the page uses transparent general arithmetic and states its limits.

Master's Tip

Master’s Tip: use CAGR to compare long-period growth rates, but do not mistake it for a year-by-year history. Print the start value, end value and years beside the CAGR so the smooth rate does not hide a bumpy path.

Authority & freshness

Who checked this calculator?

Page structure checked: 2026-09-26. Calculator-specific statutory or source-table dates appear in the revision log when the tool depends on time-sensitive rules.

Published by CalculationTime

CalculationTime publishes calculator pages with visible formulas, assumptions, worked examples, related next steps and printable records so the result can be audited instead of treated as a black box.

Machine-readable formula

CAGR = (ending value ÷ starting value)^(1 ÷ years) − 1. Growth multiple = ending value ÷ starting value. Comparison ending value = starting value × (1 + comparison rate ÷ 100)^years.Formula text is also exposed in the page schema and visible methodology block.

Source basis

3 source references are attached to this page.

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These cards are resolved from calculator data, category context and live-route status so the page links to useful next steps without hand-built link clutter.

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Knowledge check

Test your understanding

Use these quick checks to confirm that the result, formula and assumptions make sense before you reuse the number.

Which inputs drive the default result?

The default result starts with Starting value, Ending value, Time period. The current pre-solved output is compound annual growth rate = 12.47%.

Where is the calculation proof?

The proof is in the formula, worked example and assumptions sections. Together they show the arithmetic, the default state and the limits of the result.

What should you do after reading the answer?

Use the related calculators, printable record or source notes to check the next practical step instead of treating one output as the end of the workflow.

Accuracy feedback

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This lightweight check records your answer in this browser only. It does not send personal data and does not claim a live backend review queue.

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Questions

How do I calculate CAGR?

Divide the ending value by the starting value, raise that ratio to 1 divided by the number of years, then subtract 1. Multiply by 100 to read it as a percentage.

What does CAGR mean?

CAGR means compound annual growth rate. It is the constant annual rate that would take the starting value to the ending value over the selected period.

Is CAGR the same as average annual return?

No. CAGR is a compounded annualised rate. A simple average of yearly returns can give a different answer when returns vary from year to year.

Can CAGR be negative?

Yes. If the ending value is lower than the starting value, CAGR is negative because the value shrank over the period.

What should I print for a CAGR comparison?

Print the starting value, ending value, years, CAGR, growth multiple, comparison annual rate, benchmark ending value, formula, assumptions, date, page URL and notes about the data source.

Calculation note

CAGR is popular because it compresses multi-year growth into one comparable annual rate. That simplicity is useful, but the printed record should keep the endpoints and time period visible so the rate is not read as a promise about each individual year.

CAGR is a smoothing tool

Real growth rarely happens in identical yearly steps. CAGR answers a controlled question: what steady annual rate would connect the starting value to the ending value over the selected time?

The starting value is the denominator

Because the formula divides by the starting value, the starting figure must be positive and meaningful. Mixing net and gross figures, or adding cash flows without adjustment, can make the CAGR misleading.

Printable comparisons prevent overclaiming

A useful CAGR record keeps the formula, endpoints, years, benchmark scenario and limitations together. That makes it suitable for classroom examples, board notes or preliminary investment comparisons without implying advice.

Sources and further readingU.S. SEC Investor.gov — Compound Interest CalculatorCFI — CAGRInvestopedia — Compound Annual Growth Rate