What is the difference between simple growth rate and CAGR?

Simple growth rate is just (final − initial) / initial, expressed as a percentage — the total change with no regard for how long it took. CAGR spreads that same total change evenly across every period as a compounding annual rate, making it the right tool for comparing growth across different time spans.

What is the formula for CAGR?

CAGR = ((Final Value / Initial Value)^(1 / Number of Periods) − 1) × 100%. It answers: 'what constant annual growth rate, compounded every period, turns the initial value into the final value?'

Why is CAGR usually lower than the simple growth rate?

Because CAGR accounts for compounding — growth building on top of previous growth — a smaller steady annual rate can still add up to the same total percentage change as a single simple growth figure, especially over longer periods.

Can I use this for negative growth (a decline)?

Yes, as long as both the initial and final values are positive numbers, CAGR correctly returns a negative percentage when the final value is lower than the initial value, representing a compounding decline rather than growth.

Why do I get an error when the initial value is negative?

CAGR involves taking a fractional root of the ratio final/initial, which produces complex (non-real) results when either value is negative. This calculator requires both values to be zero or positive to keep the result a meaningful real percentage.

What does the year-by-year table show?

It projects the value at each period from the initial amount, assuming it grew at the calculated CAGR every single period — showing you what steady compounding at that rate would look like step by step, not just the final destination.

Can 'periods' mean something other than years?

Yes. Periods can represent any consistent unit of time — months, quarters, or years — as long as you're consistent. The result will simply be the growth rate per period you chose, not necessarily an annual rate, unless your periods are years.

Where is CAGR used in real life?

CAGR is the standard way investors compare fund and stock performance over multi-year periods, and businesses use it to describe revenue or user growth in a way that's comparable across companies and time frames, regardless of month-to-month volatility.

Percent Growth Rate Calculator — Simple Growth Rate and CAGR

Our Percent Growth Rate Calculator finds both the simple growth rate and the compound annual growth rate (CAGR) between a starting and ending value over a given number of periods. Simple growth rate tells you the total percentage change, while CAGR tells you the steady, compounding annual rate that would produce the same result — the number investors, analysts, and businesses actually use to compare growth across different time spans. A year-by-year table shows the implied value at each step along the way.

Quick Answer

Simple growth rate measures total percentage change: (final − initial) / initial. CAGR spreads that same change into a steady compounding annual rate: ((final / initial)^(1/periods) − 1) × 100%. Enter your initial value, final value, and number of periods below for both results plus a year-by-year projection.

Initial value

Final value

Number of periods

Enter initial value, final value, and periods, then click Calculate.

How to Use the Percent Growth Rate Calculator — Simple Growth & CAGR

1
Enter the initial value (starting amount).
2
Enter the final value (ending amount).
3
Enter the number of periods (years) between the two values.
4
Click 'Calculate' to see the simple growth rate, CAGR, and a year-by-year projection table.

Why Use Percent Growth Rate Calculator — Simple Growth & CAGR?

Simple growth rate and CAGR answer different questions and mixing them up leads to real mistakes: simple growth rate just measures total percentage change, while CAGR normalizes that change into a single steady annual rate, which is the only fair way to compare investments or metrics that grew over different numbers of years. A 50% total gain over 2 years and a 50% total gain over 10 years represent very different annual performance, and CAGR is what makes that difference visible — this calculator computes both instantly so you never have to remember the exponent-and-root formula by hand.

Frequently Asked Questions

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