About CAGR Calculator
CAGR (Compound Annual Growth Rate) is the mean annual growth rate of an investment over a specified period longer than one year. Formula: CAGR = (Ending Value / Beginning Value)1/n - 1. It represents the smooth annualized return.
CAGR is the most widely used metric for comparing investment performance across different time periods and asset classes. It smooths out volatility by assuming constant growth, making it easier to compare returns. For example, an investment that grows from $10,000 to $25,000 over 5 years has a CAGR of 20.1%. CAGR is commonly used to evaluate stock portfolios, mutual funds, retirement accounts, and business revenue growth. It is also useful for comparing the historical performance of different investments to guide future allocation decisions.
When to Use This Calculator
CAGR is the gold standard for comparing investment performance across different time periods. Use it to evaluate mutual funds, stocks, or any investment where you know the start and end values. It's especially useful when comparing a 3-year investment to a 5-year one — CAGR normalizes the returns so you can compare apples to apples. Also use it to check if your portfolio is meeting its return targets. Financial advisors use CAGR to demonstrate long-term investment performance to clients.
How to Use This Calculator
Enter the beginning value of your investment — say $10,000. Input the ending value after your holding period, for example $20,000. Enter the number of years you held the investment, say 5 years. Click Calculate to instantly see your CAGR rate and total return percentage. The chart shows how your investment grew steadily at the CAGR rate. Try changing the ending value to see how different returns affect your annualized growth rate.
How to Interpret Your Results
For an investment that grew from $10,000 to $20,000 in 5 years: CAGR = 14.87%, Total Return = 100%. The 14.87% CAGR means your investment grew at an average rate of 14.87% per year. Note that actual returns may have varied wildly year to year — CAGR just smooths it out to a consistent annual rate. The chart shows the hypothetical growth path if your investment grew at exactly 14.87% each year, which is useful for visualizing the power of compounding.
Frequently Asked Questions
What is the difference between CAGR and absolute return?
Absolute return is the total percentage gain over the entire period — if $10,000 becomes $20,000 over 5 years, that's 100% absolute return. CAGR (Compound Annual Growth Rate) is the annualized return — approximately 14.87% in this case. Absolute return tells you how much you made total, while CAGR tells you the average yearly performance. CAGR is more useful for comparing investments of different time periods on a level playing field.
Can CAGR be negative?
Yes, CAGR can be negative when the ending value is lower than the beginning value. This indicates the investment lost value on an annualized basis. For example, if $10,000 becomes $8,000 over 3 years, the CAGR is approximately -7.2%. A negative CAGR helps you quantify losses and compare underperforming investments, though no rational investor targets negative returns.
How is CAGR different from IRR?
CAGR assumes a single initial investment with no intermediate cash flows, providing a smoothed annualized return. IRR (Internal Rate of Return) handles multiple cash flows over time — contributions, withdrawals, and irregular payments. For a simple buy-and-hold investment with no additional purchases, CAGR and IRR produce the same result. For investments with ongoing contributions (like SIPs), IRR is the appropriate metric.
What is a realistic CAGR for stock market investments?
The S&P 500 has historically delivered about 7-10% CAGR over long periods (20+ years), before inflation. After inflation, the real CAGR is approximately 5-7%. International equity markets have similar long-term averages. Individual stocks can have much higher or lower CAGRs. For financial planning, using 7-8% CAGR for equity portfolios and 4-5% for balanced portfolios provides realistic projections.
Does CAGR account for dividends and reinvestments?
Basic CAGR uses only the beginning and ending values — it does not automatically include dividends unless they are factored into the ending value. For accurate CAGR calculations, the ending value should reflect total return including dividend reinvestment. Many stock market indices report a price return CAGR (price changes only) and a total return CAGR (including reinvested dividends), which can differ by 1-3% annually.