Finance

Personal Compound Annual Growth Rate Calculator (30 Years)

Calculate compound annual growth over a period. This personal version uses a 30-year planning term as its starting point.

What this means: the CAGR is the single steady yearly rate that would turn the starting value into the ending value over 30 years, so it summarises the whole period as one average yearly pace rather than showing each separate year.

Formula

CAGR equals ending value divided by starting value, to the power of one over years, minus one.

How it works

CAGR smooths growth into a single yearly rate, even if actual yearly growth varied.

Worked example

Starting value $10,000, ending value $20,000, term 30 years. First, the growth ratio is $20,000 divided by $10,000, which is 2.00. Using the CAGR formula, the rate is 2.00 to the power of one over 30, minus one, which is 2.34% a year. Check it back: $10,000 times 1.0234 to the power of 30 is about $20,000. Total growth is $10,000, or 100% over 30 years, yet the yearly rate is only 2.34%, because 30 years of compounding turns a very small yearly rate into a doubling.

Who this term suits for a person: A 30-year term suits a person thinking on a mortgage-length horizon, for example a retirement fund started in their twenties, or a fund for a child born today. A 2.34% yearly rate should be treated as a floor to check against, not a target to celebrate: over 30 years, inflation, fees, and tax can easily take more than 2.34% a year in real terms.

FAQs

What does CAGR mean?
CAGR is the steady yearly growth rate that would take a starting value to an ending value.

Is this personal calculator exact?
No, it is an estimate for planning only, based on the numbers you enter.

Are these figures financial advice?
No, they are estimates for planning only, not financial advice. Check with a qualified adviser for decisions involving large sums.

Is 2.34% over 30 years a useful target or just a floor?
Treat it as a floor. Doubling over 30 years at 2.34% a year is a slow result, and after inflation it may be no real growth at all. It is useful as a minimum check, for example, did this fund at least double, but a retirement plan usually needs contributions and a higher real return as well.

How do fees change a 30-year CAGR?
A lot, because fees compound too. A fund that earned, for example, 4% a year before a 1% yearly fee would show about 3% after fees, and over 30 years that gap removes a large share of the ending value. This calculator does not include fees, so a net-of-fees rate should be compared, not the headline rate.

Can I use a 30-year CAGR for a mortgage-length goal?
Yes, as a long-horizon check, but pair it with a contributions plan. A single sum doubling in 30 years at 2.34% a year will rarely cover a house, a retirement, or a university fund on its own. The CAGR tells you how fast the starting sum grew, not whether the goal was funded.

Estimates only, not financial advice. Figures are approximate and do not include all fees, taxes, or changing rates unless stated.