How this calculator works
CAGR is the single effective annual rate that links one starting value to one ending value over a chosen period.
- Step 1Find the change₹50,000Compare the ending and starting values.
- Step 2Set the period5 yearsUse the time between the two values.
- Step 3Annualise the result8.45%Calculate the equivalent compounded annual rate.
The calculator also projects an ending value from an assumed CAGR. Both calculations assume one start value, one end value and no cash flows in between.
Formula
- Total return
(ending value ÷ starting value − 1) × 100%- CAGR
((ending value ÷ starting value)^(1 ÷ years) − 1) × 100%
- Starting value₹1,00,000
- Ending value₹1,50,000
- Absolute change₹50,000
- Total return50%
- Annualised CAGR8.45%
In project mode, the formula is starting value × (1 + annual rate)^years. The annual rate is effective, so it compounds once per year in this model.
Reading the result
- CAGROne start and end valueUseful when the investment has no intermediate deposits or withdrawals.
- XIRRDated cash flowsUses the timing and size of multiple investments and receipts.
The default projection at 12% for 5 years grows ₹1,00,000 to ₹1,76,234 under a constant annual assumption.
Common amounts use rupees, lakh or crore. Extremely small or large outputs use scientific notation so the result stays readable.
What CAGR leaves out
- Interim pathIt does not show gains or losses between the two values.
- Cash-flow timingDeposits and withdrawals are not included.
- Taxes and feesCosts are not subtracted from the values.
- Future outcomesA historical rate does not predict future performance.
CAGR, XIRR or average return?
- CAGROne amount in, one amount out, no deposits between.
- XIRRSeveral dated deposits or withdrawals, such as a SIP.
- Average returnA list of yearly returns, averaged two ways.
CAGR only sees the first and last values. If money went in or came out along the way, use the XIRR calculator, which weighs each dated cash flow.
For a series of yearly returns, the average return calculator gives both the arithmetic and the geometric average; the arithmetic one is never lower.
A CAGR above inflation is what grows buying power; the inflation calculator shows the rate prices have risen. To project a single investment forward, the lumpsum calculator adds monthly compounding and an inflation view.
Common mistakes
Mistake: Treating CAGR as the return earned in every year.
Instead: Read it as one smoothed annual rate; actual year-to-year results can vary.
Mistake: Using only the start and end values when there were deposits or withdrawals.
Instead: Use a dated-cash-flow measure such as XIRR for irregular flows.
Mistake: Calling absolute change the annualised return.
Instead: Compare rupee change, total percentage return and CAGR as separate figures.
This calculator is an arithmetic illustration, not an investment recommendation. Taxes, fees, inflation and risk are not assessed.
Checking the method
A separate script recomputes every test case two ways: by formula, and by searching for the rate that grows the start into the end.
Read how we test our calculators, or browse more money calculators.