The CAGR Formula
CAGR calculates the constant annual rate needed to grow an investment from its starting value to its ending value over a given number of years.
Where:
n = Number of years
Example — Mutual Fund Investment
You invested ₹1,00,000 in a mutual fund on 1 Jan 2021. On 1 Jan 2026 (5 years later), it is worth ₹1,61,051.
CAGR = (1,61,051 ÷ 1,00,000)^(1/5) − 1 = (1.61051)^0.2 − 1 = 10%
This means your investment grew at an equivalent steady rate of 10% every year for 5 years — even if the actual returns varied wildly year to year.
Why Average Return Is Misleading
Consider this example of an investment over 3 years:
| Year | Starting Value | Return | Ending Value |
|---|---|---|---|
| Year 1 | ₹1,00,000 | +60% | ₹1,60,000 |
| Year 2 | ₹1,60,000 | -30% | ₹1,12,000 |
| Year 3 | ₹1,12,000 | +20% | ₹1,34,400 |
- Average return: (60% + (-30%) + 20%) ÷ 3 = 16.7% — sounds excellent
- CAGR: (1,34,400 ÷ 1,00,000)^(1/3) − 1 = 10.3% — the real picture
The average return overstates performance by 62%. This is because averages ignore the sequence of returns — a 30% loss requires a 43% gain just to break even, not 30%. CAGR captures this mathematical reality.
⚠️ Beware of "Average Returns" in Fund Advertisements
When a mutual fund claims "average 15% returns over 10 years", ask for the CAGR instead. Average returns almost always overstate actual investor experience due to the mathematical asymmetry of gains and losses.
CAGR Across Different Asset Classes
Here is how various Indian investment options have performed historically (approximate CAGR over 15-20 year periods):
| Asset Class | Typical CAGR | Risk Level |
|---|---|---|
| Nifty 50 (Large Cap Equity) | 12 – 14% | High |
| Nifty Midcap 150 | 14 – 18% | Very High |
| Gold (INR terms) | 10 – 12% | Moderate |
| PPF | 7 – 8% | Zero (Govt backed) |
| Bank FD | 6 – 7% | Very Low |
| Savings Account | 3 – 4% | Zero |
| Real Estate (Residential) | 5 – 8% | Moderate (illiquid) |
💡 CAGR Must Beat Inflation
India's long-term inflation (CPI) averages 5-6% per year. If your investment's CAGR is below inflation, you are losing purchasing power in real terms. A bank FD at 6% CAGR with 6% inflation means 0% real return. Equity at 12% CAGR gives approximately 6% real return after inflation.
When NOT to Use CAGR
- SIP investments: Since you invest monthly (not a lump sum), CAGR does not apply. Use XIRR instead for SIP return measurement
- Investments with withdrawals: If you withdraw periodically, CAGR on starting vs ending value is misleading. Use XIRR or time-weighted return
- Very short periods: A 3-month CAGR is mathematically valid but practically meaningless for long-term projection
- Comparing across different time periods: A 5-year CAGR and a 10-year CAGR are not directly comparable because market conditions differ
CAGR vs Absolute Return vs Annualised Return
- Absolute Return: Simple percentage gain from start to finish. ₹1L → ₹1.5L = 50% absolute return. Does not account for time.
- CAGR: Annualised version of absolute return that accounts for compounding and time. 50% over 5 years = 8.45% CAGR.
- Annualised Return: Same as CAGR for lump sum investments. Often used interchangeably.
How to Use CAGR for Investment Decisions
- Compare investments fairly: A mutual fund that turned ₹1L into ₹3L in 10 years (CAGR: 11.6%) vs one that turned ₹1L into ₹2L in 5 years (CAGR: 14.9%) — the second is better despite a lower absolute return
- Set realistic expectations: If equity has delivered 12% CAGR historically, expecting 25% CAGR from your portfolio is unrealistic
- Project future wealth: With CAGR, you can estimate future value using: Future Value = Present Value × (1 + CAGR)^n
- Evaluate fund managers: Compare a fund's CAGR against its benchmark index. If the fund CAGR is lower than the Nifty 50 CAGR, you are better off with an index fund
Calculate CAGR Instantly
Enter your starting value, ending value, and time period — get CAGR, absolute return, and future value projections.
Use CAGR Calculator →How We Research and Update This Guide
We cross-check formulas, slabs, and examples against published government, regulator, lender, and scheme documentation before updating the page.
- Official government notifications, tax guidance, and scheme rules are checked before formulas or explanatory text are updated.
- Worked examples are recalculated manually and matched against the on-page tool where relevant.
- Whenever rules change, the page date and examples should be revised together to avoid stale guidance.
Frequently Asked Questions — CAGR
CAGR (Compound Annual Growth Rate) is the single annual rate at which an investment would have grown if it grew at a steady rate every year. It smooths out the volatility of actual year-to-year returns and gives you one clean number to evaluate performance. For example, if your ₹1 lakh became ₹1.61 lakh in 5 years, the CAGR is 10% — even if some years had 20% growth and others had -5%.
Average return is simply the sum of annual returns divided by the number of years. It ignores compounding and can be misleading. For example, if an investment gains 100% in year 1 and loses 50% in year 2, the average return is 25% — but your actual wealth is unchanged (₹100 → ₹200 → ₹100). CAGR correctly shows 0% because your starting and ending values are the same.
Yes. If your investment is worth less at the end than at the start, the CAGR will be negative. For example, if ₹1 lakh became ₹80,000 over 3 years, the CAGR is approximately -7.2%. This means the investment lost value at an equivalent steady rate of 7.2% per year.
No. CAGR works for a single lump sum investment — one starting value, one ending value, and a time period. IRR (Internal Rate of Return) handles multiple cash flows (like SIP investments where you invest monthly). For SIP or staggered investments, use XIRR instead of CAGR.
Historically, the Nifty 50 has delivered a CAGR of approximately 12-14% over 15-20 year periods. Large-cap equity mutual funds in India have delivered 10-15% CAGR over long horizons. Fixed deposits give 6-7% CAGR, and PPF gives approximately 7-8% CAGR. A "good" CAGR depends on the asset class, risk, and time period.