CAGR Calculator

CAGR (Compound Annual Growth Rate) measures the mean annual growth rate of an investment over a specified period longer than one year. Unlike simple average returns, CAGR smooths out the volatility of year-to-year performance to show the steady rate at which an investment would have grown if it had compounded at the same rate every year.

The formula is straightforward: CAGR = (Ending Value / Beginning Value)^(1/Years) - 1. For example, if you invested $10,000 and it grew to $25,000 over 5 years, the CAGR is (25000/10000)^(1/5) - 1 = 20.11% per year. This means your investment grew as if it earned exactly 20.11% every single year, even though the actual yearly returns likely varied significantly.

Average return is the simple arithmetic mean of yearly returns, while CAGR accounts for compounding. This distinction is crucial because it can lead to dramatically different numbers.

Consider an investment that gains 100% in Year 1, then loses 50% in Year 2. The arithmetic average return is (100% + (-50%)) / 2 = 25%. But your actual result? You started with $10,000, doubled to $20,000, then lost half back to $10,000. The CAGR is 0% — you ended exactly where you started. CAGR is always the more honest measure of actual wealth creation.

This is why mutual funds and hedge funds that report "average annual returns" can paint a misleading picture. Always ask for the CAGR (or "geometric mean return") to understand true performance.

Crypto markets are exceptionally volatile. Bitcoin has experienced drawdowns of 70-80% multiple times, yet its CAGR since 2013 exceeds 100% annually. This is precisely the kind of asset where CAGR provides clarity that raw yearly returns cannot.

When comparing crypto investments to traditional assets, CAGR gives you a level playing field. A token that goes 10x in one year but loses 80% the next has an arithmetic average return of 510%, but a CAGR of just 41.4%. CAGR cuts through the hype and shows you what actually happened to your money over time.

For portfolio planning, CAGR also helps set realistic expectations. If Bitcoin's 10-year CAGR is ~100%, that does not mean you should expect 100% returns every year. It means your $10,000 investment has historically compounded at that rate over full market cycles, including brutal bear markets.

Understanding historical CAGRs helps calibrate your expectations for any investment:

Any investment with a CAGR below the inflation rate (~3.2%) is effectively losing purchasing power over time. This is why high-yield savings accounts, while "safe," barely keep pace with inflation in real terms.

1. Hides volatility: CAGR presents a smooth growth path, but the actual journey may be a rollercoaster. Two investments with identical CAGRs can have wildly different risk profiles. One may grow steadily while the other swings 50% up and down each year.

2. Ignores cash flows: CAGR only works with a single beginning and ending value. If you added money over time (dollar-cost averaging) or withdrew funds, CAGR does not capture this. For portfolios with ongoing contributions, use IRR (Internal Rate of Return) instead.

3. Past performance: A high historical CAGR does not guarantee future returns. Bitcoin's ~100% CAGR from 2015-2025 is unlikely to repeat as the asset matures and market cap grows. Always consider whether historical conditions are likely to persist.

4. Time period sensitivity: CAGR is highly sensitive to the chosen start and end dates. Starting at a market bottom and ending at a peak (or vice versa) can dramatically skew the result. Always evaluate CAGR over multiple time frames for a balanced view.