CAGR Calculator

Background.

A CAGR calculator answers one specific question with one clean number: if a value grew steadily, at the exact same percentage every single year, from a known starting point to a known ending point over a known number of years, what would that steady annual rate have to be? Compound annual growth rate is the standard way the finance industry, corporate reporting, and academic research annualize growth that actually happened in lumps, spikes, and dips, collapsing an entire multi-year journey into one number that can be compared cleanly across investments, companies, and time periods of different length.

The formula itself is simple — divide the ending value by the beginning value, raise that ratio to the power of one divided by the number of years, and subtract one — but the number it produces is easy to misinterpret if you forget what it actually measures. CAGR is a two-point calculation. It only ever looks at where you started and where you ended up; it has no idea what happened in between. A $10,000 investment that grew smoothly to $25,000 over seven years has exactly the same CAGR as a $10,000 investment that shot up to $40,000 by year three, crashed to $15,000 by year five, and recovered to $25,000 by year seven. Both describe a 13.99% CAGR. Only one of them was a comfortable ride. This is precisely why CAGR is best read alongside a volatility measure — Quanta's volatility calculator computes the standard deviation of periodic returns and annualizes it, answering the question CAGR cannot: how bumpy was the path to the destination?

CAGR earns its place as the industry standard for a specific reason: it is the only common annualization method that correctly accounts for compounding rather than just averaging. A naive arithmetic average of annual returns systematically overstates true performance whenever returns are volatile — a portfolio that gains 50% one year and loses 50% the next has an arithmetic average return of 0%, but it actually lost 25% of its value over the two years (multiply 1.5 by 0.5 and you get 0.75, not 1.0), which is a CAGR of roughly -13.4% per year, not 0%. The SEC's mutual-fund advertising rules and the CFA Institute's Global Investment Performance Standards both require performance to be reported on this compounding, geometric basis rather than a simple average precisely because the simple average can make a genuinely money-losing strategy look like it broke even.

CAGR and the internal rate of return (IRR) are closely related but not identical in general. For an investment with exactly two cash flows — money in at the start, money out at the end, with nothing in between — CAGR and IRR give the same answer, because that is exactly the scenario CAGR's underlying formula assumes. The moment a real-world investment has interim contributions, withdrawals, or dividends reinvested along the way, IRR (which properly weights the timing of every individual cash flow) becomes the more accurate measure and CAGR, computed only from the first and last balance, can drift away from it. Quanta's IRR calculator handles that more general case; use CAGR when you genuinely only have — or only care about — a clean beginning and ending value.

This calculator takes three inputs: the beginning value, the ending value, and the number of years between them. It returns the CAGR as both a percentage and a decimal, the total (non-annualized) growth over the full period for direct comparison, and the growth multiple — literally how many times over your money grew. A total loss is handled correctly and returns exactly -100% rather than an error or an undefined result, because a beginning value that goes to zero is a perfectly real, if unfortunate, outcome that the formula needs to represent honestly. Below the widget you will find the full derivation, a hand-verified worked example, FAQs on the CAGR-versus-average-return distinction, the path-independence limitation, and primary-source citations to the SEC, the CFA Institute, and standard corporate-finance textbooks.

What is cagr calculator?

Compound annual growth rate (CAGR) is the constant annual rate of return that would be required to grow an investment or metric from a known beginning value to a known ending value over a specified number of years, assuming the growth compounded once per year rather than accumulating in a straight line. The formula is CAGR = (ending value divided by beginning value), raised to the power of one divided by the number of years, minus one. It is a purely geometric measure: it treats the entire multi-year period as a single compounding step and is completely indifferent to whatever path the value actually took in between the two endpoints — smooth, volatile, or anything else. This makes CAGR the standard tool for annualizing investment returns (comparing a stock, fund, or portfolio's performance across different holding periods on equal footing), for describing revenue or user growth in business and startup contexts, and for expressing any two-point growth process — population, GDP, a commodity price — as a single comparable annual rate. CAGR is a backward-looking, historical description of what happened between two specific dates; it is not a guarantee, projection, or prediction of what will happen going forward, and a high historical CAGR built on a small base or a short period should be treated with the same skepticism as any small-sample statistic.

How to use this calculator.

1. 01Enter the Beginning Value — the starting amount, whether that is an investment's cost basis, a company's starting-year revenue, or any other quantity you are measuring growth from.
2. 02Enter the Ending Value — the final amount at the end of your chosen period. Enter 0 for a complete loss; the calculator correctly returns -100% rather than an error.
3. 03Enter the number of Years between the two values. Decimals are supported for partial-year periods.
4. 04Read the CAGR — the single steady annual rate that would produce the same overall growth if applied every year without interruption.
5. 05Compare CAGR against Total Growth (the raw, non-annualized cumulative percentage change) to see how much the number compresses once you account for how long the growth took.
6. 06Remember that CAGR describes only the two endpoints. Pair it with a volatility measure — Quanta's volatility calculator — before concluding that two investments with the same CAGR were equally good choices.

The formula.

The calculator first computes the growth multiple: the ending value divided by the beginning value. A $10,000 investment that ends at $25,000 has a growth multiple of 2.5 — it grew two-and-a-half times over. That multiple is then raised to the power of one divided by the number of years, which is the mathematical operation of taking the n-th root — the same operation, in reverse, as compounding a rate forward for n years. Subtracting one converts the result from a growth multiple per year back into a percentage rate. In the worked example below, a growth multiple of 2.5 over 7 years becomes 2.5 raised to the power of one-seventh, which equals approximately 1.1398522810, and subtracting one leaves a CAGR of about 13.985228%. The calculator also reports total growth — simply (ending value minus beginning value) divided by beginning value, with no annualization — so you can see directly how much smaller the annualized figure is once the number of years is taken into account. A beginning value of exactly zero is rejected because the growth-multiple ratio would be undefined; an ending value of zero is fully supported and correctly returns exactly -100%, because a total loss is a legitimate, real-valued outcome of the formula (zero raised to any positive fractional power is zero, and zero minus one is exactly -100%). A negative ending value is rejected for a purely mathematical reason: raising a negative number to a non-integer power does not have a real-valued answer in standard arithmetic, so entering a negative ending value would otherwise silently produce an undefined result rather than a usable percentage.

A worked example.

Frequently asked questions.

References& sources.

1. [1]U.S. Securities and Exchange Commission, Investor.gov — Compound Annual Growth Rate (CAGR) glossary entry.
2. [2]CFA Institute — CFA Program Curriculum, covering the Global Investment Performance Standards (GIPS) and geometric (compounding) return reporting requirements.
3. [3]Brealey, R.A., Myers, S.C., and Allen, F. — Principles of Corporate Finance, 13th edition. Develops compounding and annualized-return conventions used throughout corporate finance.
4. [4]Bodie, Z., Kane, A., and Marcus, A.J. — Investments, 12th edition. Chapter 5 contrasts arithmetic average returns with geometric (compound) annualized returns.
5. [5]Aswath Damodaran, NYU Stern — Historical Returns on Stocks, Bonds and Bills: United States (1928–present), used for long-horizon CAGR benchmarking.
6. [6]IRS Publication 550 (2025) — Investment Income and Expenses, including cost-basis and holding-period rules relevant to computing beginning and ending investment values.