Enter Values

%
Your total holding period return
years
e.g., 0.5 for 6 months, 2.5 for 2.5 years
$
Initial investment amount
$
Final investment value
years
e.g., 0.5 for 6 months, 2.5 for 2.5 years
Ryan O'Connell, CFA
Calculator by Ryan O'Connell, CFA

Quick Reference

  • CAGR = Compound Annual Growth Rate (same as annualized return)
  • Historical S&P 500 average: ~10% annualized
  • Use for comparing investments held different lengths of time
  • Be cautious annualizing returns for periods under 1 year

Annualized Return Result

Annualized Return (CAGR) 14.47% Above Average Strong performance
Monthly Equivalent 1.13%
Quarterly Equivalent 3.43%
Negative Average Exceptional

Formula Breakdown

Annualized Return = (1 + r)^(1/t) - 1

Interpretation

Your investment's annualized return is 14.47% per year. This is considered above average compared to historical market returns.

Rating Guide

< 0% Negative Losing money annually
0% to < 3% Below Inflation May not keep pace with inflation
3% to < 7% Conservative Bond-like returns
7% to < 12% Average Historical equity market range
12% to < 20% Above Average Strong performance
>= 20% Exceptional Outstanding (verify sustainability)

Understanding Annualized Return

What is Annualized Return?

Annualized return (also called CAGR - Compound Annual Growth Rate) converts any investment return to an equivalent yearly rate. This makes it possible to compare investments held for different lengths of time on equal footing.

In simple terms, annualized return answers: "What constant yearly rate would produce this same total return over this time period?"

Key Insight: A 50% return over 3 years sounds great, but what's the annual equivalent? Using the formula, (1.50)^(1/3) - 1 = 14.47% per year. Now you can compare it to other investments.

Why Annualize Returns?

Without annualization, comparing investments is difficult:

  • Investment A: 20% return over 1 year
  • Investment B: 50% return over 5 years

Which is better? Annualized: A = 20%/year, B = 8.4%/year. Investment A wins despite the lower total return.

CAGR vs. Average Return

Don't confuse annualized return (CAGR) with average return:

  • Year 1: +50%
  • Year 2: -50%

Average return: (50% + (-50%)) / 2 = 0%

CAGR: Start with $100, end Year 1 with $150, end Year 2 with $75. That's -13.4% annualized!

Caution: Annualizing returns for very short periods (under 1 year) can be misleading. A 5% monthly return annualizes to 79.6%, but such returns are rarely sustainable.

Historical Context

For perspective, here are historical annualized returns (1926-2023):

  • S&P 500: ~10% annualized
  • Small-cap stocks: ~12% annualized
  • Long-term government bonds: ~5% annualized
  • Treasury bills: ~3% annualized
  • Inflation: ~3% annualized

Frequently Asked Questions

Annualized return converts any investment return to an equivalent yearly rate. It allows you to compare investments held for different time periods. For example, a 50% total return over 3 years equals about 14.5% per year when annualized.

Annualized Return = (1 + Total Return)^(1/Years) - 1. For a 50% return over 3 years: (1 + 0.50)^(1/3) - 1 = 0.1447 or 14.47% per year. The formula accounts for compounding.

Annualized returns allow fair comparison between investments held for different lengths of time. A 20% return over 1 year is better than 50% over 5 years when annualized (20% vs 8.4%), which isn't obvious from total returns alone.

The S&P 500 has historically returned about 10% annualized. For stock investments, 7-12% is average, 12-20% is above average, and above 20% sustained is exceptional. Bond returns typically fall in the 4-6% range.

Yes, CAGR (Compound Annual Growth Rate) and annualized return are the same thing. Both represent the constant yearly rate that would produce the same total return over the given period, assuming returns compound annually.

Yes, annualizing returns over very short periods can be misleading. A 5% return in one month annualizes to 79.6%, but this rate is unlikely to be sustained. Use annualized returns primarily for periods of 1 year or more for meaningful comparisons.
Disclaimer

This calculator is for educational and informational purposes only. Annualized return is a historical measure and past performance does not guarantee future results. Be cautious when annualizing returns for periods under 1 year. Always consult with a qualified financial advisor before making investment decisions.