Finance

Home Compound Annual Growth Rate Calculator (30 Years)

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

The result labelled CAGR is the steady yearly growth rate that would take the starting value to the ending value if growth were perfectly even every year, so a CAGR of 2.34% over 30 years describes a smooth average pace, not a rise that happened by that amount in any single 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. Using the page formula, CAGR equals $20,000 divided by $10,000, to the power of one over 30, minus one, which is 2.34% a year. That is the calculator's own result for these defaults, and it is the steady yearly rate that would grow $10,000 to $20,000 over 30 years if growth were perfectly even every year.

Note that 2.34% is lower than the simple average of 3.33% a year, which just divides the 100% total gain by 30 years. The simple average ignores compounding, so it overstates the steady rate; the CAGR figure is the one that actually reproduces the doubling when compounded year after year.

Who this term suits for a home household: A home household reviewing a standard mortgage lifetime, for example owners reaching the end of a 30-year mortgage who want to see the steady yearly growth of their home across the whole loan.

FAQs

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

Is this home 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.

What does 2.34% a year over 30 years tell a home owner?
That the home value doubled slowly and steadily, which is typical of a long, quiet holding rather than a fast market boom.

Why compare CAGR with the simple average of 3.33% a year?
Because the simple average overstates the steady rate: compounding at 2.34% a year for 30 years is already enough to double $10,000 to $20,000.

Should a 30-year home growth rate guide a new purchase?
Only loosely. Past 30-year growth reflects a different market, interest rates and neighbourhood, so a new purchase needs current local evidence.

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