CAGR Calculator

What is CAGR?

CAGR stands for Compound Annual Growth Rate. It is the geometric mean of an investment's annualized return over a specific period, representing the steady, smoothed rate at which an investment would have grown if it had compounded annually at the same rate each year.

CAGR is one of the most widely used metrics in finance because it removes the volatility of individual yearly returns and provides a single, consistent figure for comparing investments across different asset classes, time periods, and market conditions. Whether you're evaluating a stock, mutual fund, ETF, or any other investment, CAGR gives you the annualized heartbeat of your money's growth.

The CAGR Formula

The mathematical formula for CAGR is:

Where:

• V_f = Final Value (ending value of the investment)
• V_i = Initial Value (starting value of the investment)
• n = Number of years (the investment period)

The formula first calculates the total return by dividing the final value by the initial value. It then takes the n-th root of that ratio (where n is the number of years), which gives the compound annual growth factor. Finally, it subtracts 1 to convert that factor into a percentage return.

Real-World Example

Suppose you purchased 100 shares of a stock at $50 per share in 2019, investing a total of $5,000. By 2024, those same 100 shares are trading at $75 per share, giving you a total value of $7,500.

Using the CAGR formula:

• V_i = $5,000
• V_f = $7,500
• n = 5 years

CAGR = ($7,500 / $5,000)^1/5 − 1 = (1.5)^0.2 − 1 = 1.0845 − 1 = 0.0845 or 8.45% per year

This means that over the 5-year period, your investment grew at an average compounded rate of 8.45% annually. Although the stock may have fluctuated significantly in individual years — perhaps gaining 20% in one year and losing 5% in another — the CAGR smooths these variations into a single, consistent annual return.

Step-by-Step: How to Use This Calculator

1. Enter Initial Investment: Input the amount of money you initially invested (the cost basis).
2. Enter Final Value: Input the current or final value of your investment.
3. Enter Investment Period: Specify the number of years you held the investment. You can use half-year increments (e.g., 2.5 years) for precision.
4. Review Your Results: The calculator automatically computes your CAGR, total return, absolute gain/loss, and a year-by-year growth projection table.
5. Visualize Growth: Switch to the Chart tab to see a visual representation of your investment's growth over time, or the Table tab for a detailed breakdown.

CAGR vs. Average Return: Why It Matters

CAGR and average return (arithmetic mean) are often confused, but they tell very different stories. Consider an investment that earns 20% in Year 1, -10% in Year 2, and 15% in Year 3. The arithmetic average would be (20% + -10% + 15%) ÷ 3 = 8.33%. However, the CAGR would be approximately 7.07%, which correctly accounts for the compounding effect of the -10% loss following the 20% gain.

CAGR is generally a more accurate measure for long-term investment performance because it accounts for compounding, whereas the arithmetic average can overstate expected returns, especially in volatile markets.

Limitations of CAGR

While CAGR is a powerful metric, it has important limitations that investors should understand:

• Does not reflect volatility: CAGR smooths out year-to-year fluctuations, which can mask significant risk and volatility.
• Does not account for cash flows: CAGR assumes a single initial investment and a single final value, making it less useful for investments with periodic contributions (use SIP calculators for those).
• Does not reflect risk: A high CAGR with high volatility is riskier than a low CAGR with steady growth. Always consider standard deviation alongside CAGR.
• Can be misleading for short periods: CAGR is most meaningful over periods of 3+ years, as shorter periods may not capture true compounding behavior.

Interpreting Your CAGR Results

CAGR above 15% is generally considered exceptional and may indicate high risk or a hot market streak. CAGR of 10-15% is strong for most stock market investments. CAGR of 5-10% is moderate and may be suitable for conservative or diversified portfolios. CAGR below 5% may not outpace inflation, leading to a loss of purchasing power. A negative CAGR means your investment lost value over the period.