What is this Calculator?
Compound Annual Growth Rate (CAGR) is a standard financial metric used to measure the annualized rate of return of an investment over a specific period of time longer than one year, assuming the investment grew at a steady, smoothed rate. CAGR is one of the most accurate tools for comparing the performance of different asset classes (like stocks, mutual funds, gold, or real estate) because it accounts for compounding, unlike simple average returns which can be misleading in volatile markets.
How the Calculation Works
We use a layered approach to explain the mathematics behind our calculations: human-friendly details first, followed by a real-world example, and the advanced formula for math transparency.
1. Plain English Explanation
Compound Annual Growth Rate (CAGR) measures the geometric mean rate at which an investment grows annually, assuming it compounds steadily each year. It provides a single smoothed yearly return number, making it easy to compare investments.
2. Worked Real-World Example
Suppose you invest ₹1,00,000 in an asset (beginning value) and it grows to ₹2,50,000 (ending value) over a period of 5 years.
- Beginning Value: ₹1,00,000
- Ending Value: ₹2,50,000
- Tenure: 5 years
- Total Absolute Gain: 150%
- Compound Annual Growth Rate (CAGR): 20.11% per year
3. Show Advanced Mathematical Formula
CAGR represents the geometric progression growth rate calculated as:
$$\text{CAGR} = \left(\frac{\text{Ending Value}}{\text{Beginning Value}}\right)^{\frac{1}{t}} - 1$$
Where:
- Ending Value: Market valuation of the asset at maturity
- Beginning Value: Initial investment capital principal
- t: Investment duration in years
How to Use the Calculator
To calculate the CAGR of your investment:
1. Adjust the Beginning Value slider to the initial amount you invested.
2. Set the Ending Value slider to the final value of your portfolio today.
3. Adjust the Time Period slider to the duration of the investment in years.
4. View your annualized CAGR percentage and total absolute return instantly in the Visual Analysis cards.
Advantages & Benefits
- Smoothed Annual Rate: CAGR represents a steady, smoothed annual growth rate, making it easy to compare investments that experience volatile, erratic yearly gains.
- Accounts for Compounding: Unlike simple returns, CAGR factors in the effect of compounding, giving a true picture of year-on-year growth.
- Standard Performance Metric: Widely used by mutual fund houses, equity analysts, and corporate reports, making it a standard tool for investment reviews.
Assumptions & Limitations
- Assumes Steady Growth: CAGR implies the investment grew at a constant rate every year. In reality, equity assets may grow 30% in one year and drop 15% in the next.
- Ignores Periodic Inflows: CAGR is designed for single lumpsum investments. It cannot calculate returns for periodic cash inflows like SIPs (which require XIRR/Internal Rate of Return).
- Ignores Intermediate Volatility: A stock that went up 100% and crashed back down to a 10% gain over 5 years will show the same CAGR as a stock that grew 2% steadily every year, hiding the intermediate risk.
Frequently Asked Questions
What is the difference between CAGR and average annual return?
Average annual return is a simple average of yearly returns. If a stock rises 100% in Year 1 and falls 50% in Year 2, the simple average is 25% [(100 - 50)/2]. However, your actual ending value is the same as your starting value (0% real return). CAGR correctly calculates this as 0%, accounting for compounding.
When should I use CAGR instead of absolute returns?
Use CAGR when comparing investments held for different timeframes. An absolute return of 50% over 3 years is much better than an absolute return of 60% over 10 years. CAGR annualises these returns, allowing a fair comparison.
Can CAGR be negative?
Yes. If the ending value of your investment is lower than the beginning value, the CAGR will be negative, indicating an annualised loss of capital over the tenure.
How is CAGR different from XIRR?
CAGR is used for a single cash inflow and outflow (lumpsum). XIRR (Extended Internal Rate of Return) is used when there are multiple periodic cash flows at different dates (like monthly mutual fund SIPs or irregular stock purchases).
What is a good CAGR for equity mutual funds in India?
Over a long tenure of 5 to 10 years, a CAGR of 12% to 15% is considered very good for diversified equity mutual funds in India, comfortably beating inflation.
How is CAGR calculated on gold investments?
You divide the selling price of gold by your purchase price, raise it to the power of 1/years, and subtract 1. Historically, gold in India has delivered a CAGR of 8% to 10% over the last two decades.
Does CAGR include tax deductions?
No. Standard CAGR calculations compute nominal returns before taxes. To find your true wealth growth, you must subtract applicable capital gains taxes from your ending value before calculating the CAGR.
Can I calculate CAGR for periods under 1 year?
No. CAGR is designed for long-term investments held for more than 1 year. Annualising short-term returns (e.g. 1 month) is misleading because short-term volatility does not sustain over a full year.
How does the Rule of 72 relate to CAGR?
The Rule of 72 estimates how long it takes to double your money at a given CAGR. If an asset has a CAGR of 12%, your principal will double in approximately 6 years (72 / 12).
Is CAGR useful for comparing FDs and stocks?
Yes. Since FDs compound quarterly and stocks fluctuate, calculating the CAGR of both over the same period provides a direct, apples-to-apples comparison of their actual annualised growth rates.