What is the CAGR calculator?
A Compound Annual Growth Rate (CAGR) calculator determines the smoothed annual rate at which an investment grows from its starting value to its ending value, assuming the gains compound annually. This CAGR calculator is a standard tool for evaluating the year-on-year growth rate of assets like mutual funds, stocks, and property over a specific period.
Unlike simple annual interest, CAGR accounts for the compounding effect where your gains earn further returns over time. It represents the hypothetical, steady rate at which your investment would have grown if it expanded at a constant speed. In reality, markets are volatile and annual returns fluctuate wildly, but CAGR remains the gold standard for comparing the performance of different asset classes.
You enter the present value (initial investment), the future value (ending balance), and the period in years. The tool calculates your absolute gains, total return percentage, and the compounded annual rate.
How do CAGR calculators work?
This calculator solves for the geometric mean of your investment returns. By dividing the final value by the starting value and raising it to the power of one divided by the number of years, we find the exact compounding multiplier.
Many beginner investors confuse CAGR with average annual returns. If a fund gains 100% in year one and loses 50% in year two, your average annual return is 25%. However, your actual corpus is back to its starting amount, meaning your real CAGR is 0%. CAGR reflects the actual compounding rate, preventing you from planning with misleading average metrics.
CAGR = ( ( FV / PV )1/n ) − 1
Where –
| FV | Future value (ending investment value) |
|---|---|
| PV | Present value (initial investment amount) |
| n | Holding period or tenure in years |
Total Return % = ( ( FV − PV ) / PV ) × 100. If FV is less than PV, the CAGR will be negative, indicating a compound annual loss.
Worked example: Calculating stock CAGR over 5 years
Let's trace a ₹1,00,000 investment in a stock that grows to a future value of ₹2,50,000 over a holding period of 5 years. First, we find the growth ratio: FV / PV = 2,50,000 ÷ 1,00,000 = 2.5. This means your capital grew 2.5 times, yielding an absolute return of 150%.
Next, we apply the CAGR formula: (2.5)^(1/5) − 1. Raising 2.5 to the fifth root yields a multiplier of approximately 1.2011. Subtracting 1 and multiplying by 100 gives a CAGR of 20.11% per year.
This 20.11% rate represents the steady, constant annual interest needed to grow ₹1,00,000 to ₹2,50,000 in five years. If your investment fluctuated—for example, growing by 50% in year one, falling by 10% in year two, and rising in later years—the CAGR remains 20.11%, smoothing out the path to show the true compound rate.
The Friction Section: Inflation and Capital Gains Drag
A CAGR calculator assumes your compound returns are completely net and liquid. In the real world, fees and taxes drag down your actual compound growth.
First, consider capital gains tax. If you realize your 20% CAGR stock profits after 5 years, you must pay Long-Term Capital Gains (LTCG) tax. Equity LTCG is taxed at 12.5% on gains exceeding ₹1.25 Lakh per year. This tax payment reduces your final realized corpus, meaning your post-tax CAGR will be lower than the pre-tax CAGR shown by the calculator.
Second, consider inflation. If your property investment yields a CAGR of 8% over 15 years, but inflation averages 6% over the same period, your real CAGR (inflation-adjusted purchasing power) is only about 1.88% p.a. Always measure your returns against inflation to find your true wealth growth.
Our Take: Why CAGR is a Useful Lie You Must Master
In our experience, CAGR is a highly useful financial lie. It assumes a smooth, constant return curve that does not exist in volatile equity or real estate markets. Real market returns are path-dependent. If the market drops in the early years of your tenure, your portfolio can still recover; but if a crash happens in the final years, your actual wealth can be severely damaged, even if your average historical CAGR looks high.
We recommend using CAGR to evaluate past performance or compare alternative asset classes, but never treat it as a guarantee of future progress. For long-term goals, always model conservative return rates—for example, projecting equity CAGR at 10% instead of 12%—to build a safe buffer against market volatility.
How to use this CAGR calculator
Enter your present value, future value, and holding tenure in years. Sliders and number fields update absolute profit, total return %, and CAGR instantly.
To estimate future returns on a lump sum using a fixed CAGR, use the lumpsum calculator or the mutual fund returns calculator.
Frequently asked questions
What is the difference between CAGR and average annual return?
Average annual return is the simple mathematical average of yearly returns, which ignores compounding and can overstate actual performance. CAGR is the geometric growth rate that represents the true compound return of the asset over the entire tenure.
Can I use CAGR for mutual fund SIP investments?
No. CAGR is designed for a single lumpsum deposit with one start and end value. Regular monthly SIP investments involve multiple deposits at different times, which must be evaluated using XIRR (Internal Rate of Return).
Is a higher CAGR always better?
Generally yes, but you must consider the risk involved. High CAGR assets (like mid-cap stocks) are highly volatile and carry capital loss risk. A lower, stable CAGR from a low-risk asset may be preferable for short-term goals.