CAGR Calculator (Annual Returns) - Calcia Free Online Calculator
Investment ki shuruati aur aakhiri value se annual compound growth rate (CAGR) exact calculate karein.
Ye Formula Kaise Kaam Karta Hai
Compound Annual Growth Rate (CAGR) measures the geometric mean annualized growth rate of an investment over a multi-year period assuming steady compounding. Unlike arithmetic average returns, CAGR eliminates the distorting effects of interim annual volatility.
Variables Aur Definitions
Mutual Fund Investment Growing from ₹1,00,000 to ₹2,50,000 over 5 Years
Why CAGR is Superior to Arithmetic Mean
If an investment gains +100% in year one (doubling from $100 to $200) and loses −50% in year two (dropping back to $100), the arithmetic average is (100% − 50%) / 2 = +25% per year. However, you have zero net profit.
CAGR correctly evaluates the true outcome: ($100 / $100)^(1/2) − 1 = 0.00% CAGR. In finance, only geometric compounding represents actual investor wealth growth.
What is CAGR (Compound Annual Growth Rate)?
CAGR shows the rate at which an investment would have grown each year, on average, if it had compounded steadily over a given period - even though the actual year-to-year returns almost certainly went up and down. It is a "smoothed" figure - it averages out volatility into one steady annual rate, making it easy to compare different investments or time periods on a consistent basis.
In global financial markets, mutual fund platforms, wealth managers, and corporate analysts standardly display CAGR for lump-sum investment performance to evaluate multi-year returns on an annualized basis.
Formula and Methodology
This calculator uses the standard geometric compounding CAGR formula recognized by international financial institutions, stock exchanges, and wealth managers worldwide to report investment performance.
Sources: Investopedia - Compound Annual Growth Rate (CAGR); Corporate Finance Institute - CAGR Formula; CFA Institute Global Investment Performance Standards (GIPS).
Step-by-Step Calculation Example
Baseline example: Initial Value $100,000, Final Value $250,000, Period 5 years
Why can CAGR mislead even when the math is correct?
CAGR assumes a single investment made at the beginning and a single redemption at the end - no additions or withdrawals in between. This makes it accurate for lump-sum holdings, but fundamentally misleading for dollar-cost averaging models like SIPs or regular savings plans, where each installment compounds over a different timeline. In recurring cash-flow scenarios, XIRR (Extended Internal Rate of Return) must be used. Secondly, CAGR is completely 'volatility and drawdown blind' - it smooths away deep market corrections. A volatile portfolio that lost 40% in a crash and later rebounded can exhibit the exact same 15% CAGR as a stable, low-volatility fund. Thirdly, CAGR reflects nominal growth; inflation (purchasing power erosion) and applicable capital gains taxes reduce your actual real wealth yield. Finally, past performance carries zero regulatory guarantee of future capital returns.
Comparison - CAGR vs Absolute Return vs XIRR
| Metric | Shows | Best for | Accounts for timing |
|---|---|---|---|
| CAGR | Annualized compound rate | Lump-sum investments | Yes (as steady average) |
| Absolute Return | Total percentage change | Periods under 1 year | No |
| XIRR | True annualized return | SIPs, recurring cash flows | Yes (exact transaction dates) |
Frequently Asked Questions
Is CAGR a guaranteed return?
No. It is a backward-looking average of past performance - it does not guarantee future returns. Market-linked investments can also lose value.
Why is CAGR the wrong metric for SIPs?
Because CAGR assumes the entire amount was invested at once. In a SIP, each instalment goes in on a different date, so XIRR gives a more accurate picture.
What counts as a "good" CAGR?
It depends on the asset class - major diversified equity indices have historically averaged roughly 8–12% CAGR over long multi-year horizons before inflation, though returns vary by asset class and economic cycle.
What's the difference between CAGR and absolute return?
Absolute return shows total percentage change regardless of time period - 1 month or 10 years look the same. CAGR factors in time to give an annualized rate, enabling fair comparison across different holding periods.
Sources & Authoritative Financial References
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