Annualized Return Calculator
Convert a multi-year investment gain into an equivalent yearly growth rate using the compound annual growth rate (CAGR) formula. Ideal for comparing investments held over different time periods on a level playing field.
About this calculator
The annualized return — also called the Compound Annual Growth Rate (CAGR) — expresses how much an investment grew per year on average, assuming gains were compounded continuously throughout the holding period. The formula is: Annualized Return (%) = ((Ending Value / Beginning Value)^(1 / Years) − 1) × 100. The exponent 1/Years is the key: it "undoes" the compounding effect across the full period to extract the equivalent single-year rate. For example, doubling your money in 7 years is very different from doubling it in 3 years, even though the total return is identical. CAGR smooths out year-to-year volatility and gives you a clean, comparable rate.
How to use
Suppose you invested $10,000 five years ago and it is now worth $18,000. Enter Beginning Value = $10,000, Ending Value = $18,000, and Years = 5. The calculation is: ((18,000 / 10,000)^(1/5) − 1) × 100 = (1.8^0.2 − 1) × 100 = (1.1247 − 1) × 100 ≈ 12.47%. Your investment grew at an annualized rate of about 12.47% per year, compounded annually over the five-year period.
Frequently asked questions
What is the difference between annualized return and average annual return?
The annualized return (CAGR) accounts for compounding — it finds the single constant rate that would turn your beginning value into your ending value over the period. The simple average annual return just adds up yearly percentage returns and divides by the number of years. The average always overstates performance when returns are volatile because it ignores the sequence of gains and losses. CAGR is considered the more accurate measure of actual investment performance.
How do I annualize a return for less than one year?
The standard CAGR formula works for periods under one year too — simply express the holding period as a decimal fraction of a year. For example, a 4-month period is 4/12 ≈ 0.333 years, so you would use the exponent (1 / 0.333) ≈ 3 in the formula. Be cautious, however: annualizing very short-term returns can produce misleadingly large numbers, since it assumes that the same rate of growth continues for a full year.
Why does CAGR not reflect the actual year-by-year volatility of an investment?
CAGR describes the smooth hypothetical growth rate that connects your starting and ending value — it says nothing about what happened in between. An investment could have surged 80% one year and plunged 40% the next, yet still show a respectable CAGR. This is why investors also look at measures like standard deviation or maximum drawdown alongside CAGR. CAGR is best used as a summary performance metric, not as a complete picture of risk.