CAGR Calculator

What this calculator does

An investment that grows from one figure to another over several years rarely does it in a straight line. It jumps, dips, and drifts. CAGR is the tidy way to describe that messy journey with a single number: the steady annual rate that would have carried the start value to the end value if it had grown smoothly the whole way. This calculator finds that rate, and it works the equation in every direction, so you can solve for the rate, the final value, the starting value, or how many years it takes.

What CAGR is

CAGR stands for compound annual growth rate. It is the constant yearly rate that connects a beginning value to an ending value over a given number of years, with compounding along the way.

The word to hold onto is smooth. Real growth is bumpy, but CAGR irons it flat. It answers a clean question: if this had grown by the exact same percentage every year, what would that percentage be? That makes it a fair way to compare very different investments, because it reduces each one to a single, comparable annual rate no matter how jagged the actual path was.

A worked example

Say an investment grows from 10,000 to 25,000 over 5 years. The calculator gives a CAGR of 20.112%.

You can check it by running that rate forward: 10,000 growing at 20.112% a year for five years lands back on 25,000. That is what the number means. It does not claim the investment actually rose 20.112% each year, because it almost certainly did not. It says that a steady 20.112% a year would have produced the very same result, which is the honest yardstick for comparing it against anything else.

Why CAGR beats a plain average

It is tempting to just average the yearly returns, but that quietly lies to you, and it is worth seeing why.

Imagine an investment that gains 100% one year and then loses 50% the next. Average those two and you get positive 25%, which sounds great. But look at what actually happened to the money: 100 doubles to 200, then halves back to 100. You ended exactly where you started. Your real growth was zero, and that is precisely what CAGR reports: 0%. The simple average was fooled because it ignored compounding, the fact that the second year acted on the balance the first year left behind. CAGR never makes that mistake, which is why it is the number to trust for multi-year growth. If you want to watch compounding build a balance forward instead, our compound interest calculator does that.

Solving for any of the four pieces

CAGR ties four quantities together: the starting value, the ending value, the number of years, and the rate. Give the calculator any three and it finds the fourth. That flexibility is where it gets genuinely useful for planning, not just for looking back.

Pick CAGR to find the growth rate from a start, an end, and a duration. Pick Final Value to project where a starting amount lands after so many years at a given rate. Pick Initial Value to work backward from a target to what you would need to start with. Or pick Duration to find how many years it takes to get from one value to another at a chosen rate. So it answers both "how fast did this grow" and "how long until I get there," from the same simple relationship.

What a CAGR quietly hides

The smoothing that makes CAGR so useful is also the thing to stay wise about. Because it flattens the path, a CAGR tells you nothing about the ride. Two investments can share the exact same CAGR while one climbed calmly and the other lurched through gut-wrenching swings to get to the same place. If risk and volatility matter to you, and they should, CAGR is only half the picture.

And there is the timeless caveat that applies to any backward-looking number. A CAGR measures what already happened, not what will. As the SEC reminds investors, past performance does not predict future results, so a strong historical CAGR is a description of the past, not a promise about the years ahead. Use it to compare and to understand, not to assume.

How to use it

Start by choosing what you want to solve for in the Calculate dropdown. The calculator then asks only for the pieces it needs:

• Initial Value. The starting amount.
• Final Value. The ending amount.
• Duration. The number of years.
• Growth Rate. The annual CAGR as a percentage. (This field is labelled CARG in the tool, but it is the CAGR, the growth rate.)

Press Calculate for the answer, and Reset to clear the fields.

Questions people ask

What is CAGR in simple terms?

It is the single steady annual rate that would grow a starting value into an ending value over a set number of years. It smooths out the ups and downs into one comparable yearly figure.

Why is CAGR different from the average of yearly returns?

Because a plain average ignores compounding. A year's gain or loss acts on the balance left by the year before, and CAGR accounts for that, while a simple average does not. That is why the two can differ sharply, and why CAGR is the reliable one for growth over time.

Does a high CAGR mean the investment will keep growing?

No. CAGR describes past growth only. Markets change, and past performance does not guarantee future results, so treat a historical CAGR as a way to compare and understand, not as a forecast.

References

CAGR is the geometric mean annual growth rate, a standard measure set out in corporate finance texts such as Brealey, Myers, and Allen below. The caution that a backward-looking growth figure does not predict future returns follows the U.S. Securities and Exchange Commission's investor guidance.

1. U.S. Securities and Exchange Commission, Office of Investor Education and Advocacy. Investor Bulletin: Performance Claims. investor.gov
2. Brealey, R. A., Myers, S. C., and Allen, F. Principles of Corporate Finance. McGraw-Hill.