Finance

Home Compound Annual Growth Rate Calculator (15 Years)

Calculate compound annual growth over a period. This home version uses a 15-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 4.73% over 15 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 15 years. Using the page formula, CAGR equals $20,000 divided by $10,000, to the power of one over 15, minus one, which is 4.73% 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 15 years if growth were perfectly even every year.

Note that 4.73% is lower than the simple average of 6.67% a year, which just divides the 100% total gain by 15 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 planning over a school-age stretch, for example a family that bought a home when children were small and wants to know the steady yearly growth by the time they are teenagers.

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 4.73% a year mean for a home over 15 years?
It means the value doubled at a steady pace of 4.73% a year, which is close to long-run house-price growth in many areas, before costs are counted.

Why is the CAGR lower than the simple average of 6.67% a year?
Because the simple average ignores compounding, while CAGR is the steady rate that, compounded every year for 15 years, turns $10,000 into $20,000.

Should a 15-year home plan use one fixed growth rate?
No. House prices rise and fall in cycles, so use the 4.73% figure as a smoothed average, not as a promise for any single year.

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