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Finance2026-08-14ยทCalcMatrix

CAGR Explained: How to Calculate Compound Annual Growth Rate

You've held a fund for three years and it shows +30%. Do you know what that means as a yearly compounding rate? Most people use a simple average and miss the compounding effect. Let's understand the metric investors should care about most: CAGR (Compound Annual Growth Rate).

What Is CAGR?

CAGR measures the average annualized return of an investment over a period, assuming profits compound. It's the most honest way to describe long-term investment performance.

CAGR = (Ending Value รท Beginning Value) ^ (1 รท Years) โˆ’ 1

A Worked Example

You invested $100,000 three years ago; the account is now $159,700. CAGR = (159700 รท 100000)^(1รท3) โˆ’ 1 โ‰ˆ 16.9%.

That means your money grew at a 16.9% compounding rate each year. Cube roots are easy to get wrong by hand โ€” use the CAGR calculator, enter beginning value, ending value, and years, and get the answer instantly.

CAGR vs Simple Average

MetricMethodProblem
Simple averageSum of yearly returns รท yearsIgnores compounding, can inflate
CAGRGeometric mean (compounding)Honest long-term annualized return

Example: +100% in year 1, โˆ’50% in year 2. Simple average says +25%, but you're actually back to zero โ€” CAGR is 0%. That's why CAGR is more trustworthy.

How to Use CAGR

  • Compare funds: for cross-product long-term annualized returns, CAGR beats short-term gains
  • Set goals: work backward to find how many years and what return you need to hit a target
  • Evaluate compounding plans: pair with the compound interest calculator to see how future values differ across rates

Related Metric: APY

APY (Annual Percentage Yield) accounts for compounding frequency and is common for savings and deposit products. Daily vs annual compounding gives different APY figures โ€” use the APY feature on the CAGR/APY calculator for precise comparisons.

Keep Returns in Perspective

A 16.9% annualized return looks great, but be wary of high-return promises. Sustainable long-term returns typically sit in the 6%โ€“10% range. Any "guaranteed high yield" deserves heavy skepticism. Use the retirement calculator to break your financial goals into steps โ€” more practical than chasing short-term swings.

Use the CAGR calculator to find the true annualized return of every investment you make โ€” decide rationally and let compounding work for you.