CAGR: The One Number That Smooths a Bumpy Investment
Finance · 6 min read · Last updated September 2026
The CAGR formula
where n = number of years
Worked example: ₹1,00,000 grows to ₹1,61,051 in 5 years. Ratio = 1.61051. Fifth root of 1.61051 = 1.10 (check: 1.105 = 1.61051). So CAGR = 10.0% per year. The order of operations matters: divide first, take the n-th root second, subtract 1 last — reversing steps 2 and 3 is the most common hand-calculation error.
Why CAGR beats the "average of yearly returns"
Yearly returns of +50% and −50% average to 0%, but ₹100 becomes ₹150 then ₹75 — a real loss of 25%. The arithmetic average ignores compounding; CAGR does not: (75/100)1/2 − 1 = −13.4% per year, which is the honest annualized truth. Whenever returns compound, use the geometric mean (CAGR), not the arithmetic one.
Where CAGR misleads
| Situation | What goes wrong |
|---|---|
| Short periods (1–2 years) | One lucky year annualizes into an unsustainable "rate" |
| Negative endpoint | If the ending value is below the start, CAGR is negative — fine — but if the ending value is ≤ 0 the formula is undefined |
| Uneven cash flows | CAGR assumes one deposit at the start and nothing after; SIP-style contributions need an IRR/XIRR calculation instead |
| Cherry-picked dates | Starting the clock after a crash (or before one) changes CAGR dramatically with zero change in the fund |
None of this makes CAGR wrong — it makes it a summary. Pair it with the underlying yearly numbers before drawing conclusions.
Try the calculators
Worked example: CAGR Calculator at its default inputs
Open CAGR Calculator and press calculate without editing a field. What comes back is the table and result below, so the cagr numbers here are checkable in one click.
| Input | Default |
|---|---|
| Beginning Value ($) | 10000 |
| Ending Value ($) | 16105.1 |
| Years | 5 |
Result: CAGR: 10.00%
The steps behind that answer
- Formula: CAGR = (End/Begin)^(1/years) − 1
- Step 1: End/Begin = 16,105.1/10,000 = 1.6105
- Step 2: ^(1/5) = 1.1000
- Step 3: CAGR = 1.1000 − 1 = 0.1000 = 10.00% per year
Beginning Value ($): half, as given, and half again
Beginning Value ($) is the first input worth testing, so here it is at three sizes.
| Beginning Value ($) | Result |
|---|---|
| 5,000 | CAGR: 26.36% |
| 10,000 | CAGR: 10.00% |
| 15,000 | CAGR: 1.43% |
If the rows barely differ, beginning value ($) is not your lever — change a different input. If they swing widely, get that number right before trusting the total.
Related guides
CAGR is a smoothing device, not a return you earned
Compound annual growth rate converts a start value and an end value into the constant yearly rate that would connect them. It says nothing about the path: two investments with the same CAGR can have completely different volatility.
That is why a fund advertising a 12% CAGR may have spent two of those years down 30%. The number is truthful and incomplete at the same time.
Start and end points decide the answer
CAGR is extremely sensitive to the endpoints. Choosing a start date just before a crash or an end date just after a rally changes the result by several points without any change in the underlying business.
Compare CAGR over identical periods, and look at rolling returns if you want to know how reliable a fund's growth has been.
CAGR versus XIRR
CAGR assumes a single lump sum invested at the start. A monthly investment plan has many cash flows, so the correct measure is XIRR, which accounts for the timing of each contribution.
Using CAGR for a systematic plan usually overstates or understates the return depending on whether the market rose or fell during the contribution period.
Frequently asked questions
Can I use this page for "compounding calculator yearly"?
Yes — this guide answers the "compounding calculator yearly" question: the method is explained in the sections below and the linked calculator returns the number instantly.
What is a good CAGR?
It depends entirely on the asset class and period. As a rough reference: long-run inflation is 2–4%, broad stock indices have historically annualized around 7–10% in many markets, and anything promising far more than that carries far more risk. Compare CAGR against a relevant benchmark, not a universal number.
How do I calculate CAGR by hand?
Divide ending value by beginning value, take the n-th root of the ratio (n = years), then subtract 1 and multiply by 100. Example: 1.61051 over 5 years → fifth root ≈ 1.10 → CAGR ≈ 10%.
Is CAGR the same as annualized return?
Yes — CAGR is the standard way to annualize a single start-to-end growth figure. They differ from IRR, which handles multiple cash flows at different dates.
Can CAGR be negative?
Yes. If the ending value is lower than the beginning value, CAGR is negative and correctly shows a shrinking investment. It is undefined only when the ending value is zero or negative.
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