Investment Return (ROI) Calculator
Calculate ROI, annualized return and profit on any investment.
Total ROI is the simple return; CAGR normalizes it per year. For variable cash flows (dividends, additional contributions), CAGR understates actual returns — use IRR.
ROI and CAGR, side by side
Return on Investment (ROI) tells you how much you made on an investment; Compound Annual Growth Rate (CAGR) tells you how fast it grew per year. Both are useful — often at the same time.
Return on Investment formula
The return on investment formula is the total profit divided by the amount originally invested, expressed as a percentage:
ROI (%) = (Final Value − Initial Value) / Initial Value × 100
If you prefer thinking in terms of profit: ROI = Net Profit / Cost × 100. Both expressions produce the same number — “Net Profit” is just “Final Value − Initial Value” renamed.
For a per-year figure, use the annualized variant (CAGR):
CAGR (%) = ((Final Value / Initial Value)^(1 / Years) − 1) × 100
Worked example using the ROI formula
Bought a stock at ₹100, sold at ₹180 five years later:
- Profit: ₹80
- ROI: (180 − 100) / 100 × 100 = 80%
- CAGR: (180 / 100)^(1/5) − 1 = 12.47%
The 80% ROI sounds impressive. The 12.47% CAGR shows it for what it is — a respectable-but-not-extraordinary annual return.
Why CAGR is the better comparator
Compare two investments:
- A: invested ₹100, sold at ₹140 after 2 years. ROI = 40%, CAGR = 18.32%.
- B: invested ₹100, sold at ₹250 after 10 years. ROI = 150%, CAGR = 9.60%.
Investment B has a higher total return but a lower compounded growth rate. In CAGR terms, A was the better allocation of capital — though B compounded for longer, producing more absolute wealth.
Limitations
- Lumpy cash flows (additional contributions, partial redemptions, dividends reinvested) require IRR, not CAGR.
- Inflation is ignored — this shows nominal returns. For real returns, subtract the inflation rate from CAGR.
- Taxes are ignored — the calculator shows pre-tax returns.
Use CAGR to rank investments; use ROI to describe the total outcome.
Frequently asked questions
- What is the difference between ROI and CAGR?
- ROI (Return on Investment) is the total percentage gain over the entire holding period. CAGR (Compound Annual Growth Rate) normalizes that to a per-year figure, making it comparable across investments of different durations.
- Which is more useful: ROI or CAGR?
- **CAGR** for comparing investments across different durations — it answers "what steady annual return would have produced this total growth?". **ROI** for describing a single investment's overall result without implying anything about year-over-year performance.
- Does this handle variable contributions?
- No — it assumes a single lump-sum investment at the start and a single redemption at the end. If you made multiple contributions or withdrawals, the right metric is **IRR (Internal Rate of Return)**, which this simple calculator does not compute.
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