What the calculator does
The CAGR calculator turns two values and a time span into one number: the constant yearly growth rate that would take the first value to the second. It has three inputs.
- Initial value (₹): what you started with. For a fund, the NAV on the start date works as well as a rupee amount.
- Final value (₹): what it was worth at the end, in the same unit.
- Duration: the number of years between the two dates.
The result is shown as CAGR, green if positive and red if negative. It needs a positive initial value to work.
A worked example from a real fund
Take the BANDHAN Nifty 50 Index Fund, Direct plan, Growth option, scheme 118482. Its NAV history gives:
| Date | NAV (₹) |
|---|---|
| 3 November 2021 | 37.9723 |
| 3 November 2023 | 41.9181 |
| 3 November 2025 | 57.2437 |
| 3 November 2026 | 53.3701 |
Step 1: enter the NAVs. Initial value 37.9723, final value 53.3701.
Step 2: set the duration to 5 years, since 3 November 2021 to 3 November 2026 is exactly five years.
Step 3: read the result. The calculator shows 7.04%. The fund page lists a 5-year return of 7.05%; the small difference comes from how the page counts the exact number of days.
The same steps give other windows from the table:
| Window | Start NAV | End NAV | Years | CAGR |
|---|---|---|---|---|
| 5 years | 37.9723 | 53.3701 | 5 | 7.04% |
| 3 years | 41.9181 | 53.3701 | 3 | 8.38% |
| 1 year | 57.2437 | 53.3701 | 1 | -6.77% |
Put ₹1,00,000 into the fund on 3 November 2021 and it would be worth ₹1,40,550 on 3 November 2026. That is a total gain of 40.55%, which equals 7.04% a year compounded: ₹1,00,000 × 1.0704⁵ ≈ ₹1,40,550.
Three mistakes the calculator saves you from
1. Dividing the total gain by the years. 40.55% ÷ 5 = 8.11% a year, which overstates the true 7.04%. The longer the period and the higher the return, the larger this error grows. We cover the gap in CAGR vs absolute return.
2. Counting the years wrongly. The duration is a count of years between two dates, not the number of calendar years you touch. Using 4 years for the same NAVs gives 8.88% and using 6 gives 5.84%, so a one-year slip moves the answer by more than a point.
3. Reading a CAGR as a smooth ride. The 7.04% is an average that hides the path. Four years in, on 3 November 2025, the same ₹1,00,000 had grown to ₹1,50,751, a CAGR of 10.81%. The last year then took it back to ₹1,40,550. A CAGR uses only the two end points, so the same 7.04% could come from a steady climb or from a rise and a fall. For the path, use the NAV chart and max drawdown on the fund page.
When CAGR is the wrong tool
- SIPs and any series of cash flows. CAGR assumes a single investment. For a SIP use the XIRR calculator.
- Periods under a year. A return shorter than a year should be shown as an absolute return. Annualising it overstates how repeatable it is; see annualising a short return.
- Comparing different risk. Two funds with the same CAGR can have very different falls along the way. Compare the drawdown and volatility next to the return.
A quick way to check any return you are quoted
If someone quotes a return, ask for the start value, end value and number of years, then enter them. If the calculator gives a rate that differs from the one quoted, one of the three inputs differs from what you assumed. That single check catches many mistakes in quoted returns.
Frequently asked questions
How do I calculate the CAGR of a mutual fund?
Take the NAV on the start date and on the end date, count the years between them, and enter them in the CAGR calculator. CAGR = (end NAV / start NAV) raised to 1/years, minus 1. For NAVs of 37.9723 and 53.3701 five years apart that is 7.04% a year.
Why is CAGR not the total gain divided by the years?
Because gains compound. The total gain in the example was 40.55%; dividing by 5 gives 8.11% a year, but the compounded rate that produces 40.55% in five years is 7.04%.
Does CAGR work for a SIP?
No. CAGR assumes one amount invested on one date. A SIP puts money in on many dates, so its annualised return is an XIRR; use the XIRR calculator for that.
This is commentary on published data, not investment advice. WealthTicker is not a SEBI-registered adviser or distributor. Figures are WealthTicker’s own calculations from public data — AMFI’s fund NAVs and disclosures, NSE’s index and FII/DII files, and the fund houses’ monthly portfolios (how we calculate). They are as of the dates stated and can be revised by their source.
Keep reading
What return do you need? CAGR required for 2x to 10x
To triple money in 10 years you need 11.6% a year; to turn it 10x in 20 years, 12.2%. A table of the CAGR needed for 2x, 3x, 5x and 10x.
Step-up SIP calculator: inputs, outputs and an example
How the step-up SIP calculator works: its five inputs and limits, a worked ₹10,000 example (₹33.74 lakh vs ₹23.23 lakh flat) and what it leaves out.
STP calculator: modelling a debt-to-equity transfer
How the STP calculator works: four inputs, the vs-lumpsum figure, and why ₹12 lakh moved at ₹1 lakh a month ends ₹34,332 behind a day-one lumpsum at a flat 12%.
