Astro Finance Calculator

Astro Finance Calculator

Financial Calculators

CAGR Calculator

Calculate the compound annual growth rate of your investments. Find annualized returns.

Absolute Gain

₹1,00,000

Total Return

100.00%

CAGR

14.87%

Compound Annual Growth Rate

CAGR Formula

CAGR = (Final Value ÷ Initial Value)^(1 ÷ Years) - 1

CAGR calculates the mean annual growth rate of an investment assuming steady compounding. It smooths out volatility and provides a single annualized return figure. The result is expressed as a percentage.

Example Calculation

₹1,00,000 growing to ₹2,00,000 in 5 years

CAGR = (2,00,000 ÷ 1,00,000)^(1÷5) - 1 = 2^0.2 - 1 = 0.1487

CAGR = 14.87% per year

Understanding CAGR

What is CAGR?

The Compound Annual Growth Rate (CAGR) is the most commonly used metric to measure investment performance over time. It represents the geometric progression ratio that provides a constant rate of return over the investment period. CAGR is widely used for mutual funds, stocks, and business metrics to compare the historical performance of investments.

CAGR vs Absolute Returns

Absolute returns simply show the total percentage gain without considering the time factor. CAGR provides a more meaningful comparison by annualizing the return. For example, an investment that doubled in 3 years has ~26% CAGR, while one that doubled in 8 years has ~9% CAGR. CAGR allows fair comparison between investments of different time periods.

Using CAGR for Mutual Funds

CAGR is ideal for comparing lump sum mutual fund investments over different time periods. Most mutual fund fact sheets display 1-year, 3-year, 5-year, and since-inception CAGR. When comparing funds, always compare CAGR over the same time period. Past CAGR does not guarantee future returns but helps assess fund manager performance.

Limitations of CAGR

CAGR has several limitations: it assumes the investment grows at a steady rate and ignores volatility; it cannot handle multiple cash flows (for SIP or SWP, use XIRR); it does not account for risk; and it can be misleading for short periods (<1 year). Always use CAGR alongside other metrics like standard deviation, Sharpe ratio, and rolling returns for a complete picture.

Frequently Asked Questions

What is CAGR?

CAGR (Compound Annual Growth Rate) is the mean annual growth rate of an investment over a specified period longer than one year. It represents the rate at which the investment would have grown if it grew at a steady rate, compounding annually.

What is the difference between CAGR and absolute returns?

Absolute returns show total percentage gain without considering time. CAGR annualizes the return, showing yearly growth rate. A 100% return over 5 years equals ~14.87% CAGR.

Can CAGR be used for SIP investments?

CAGR is for lump sum investments. For SIP investments with periodic contributions, XIRR (Extended Internal Rate of Return) is more appropriate as it accounts for multiple cash flows at different times.

What are the limitations of CAGR?

CAGR assumes steady growth and ignores volatility. It cannot handle interim cash flows and does not reflect risk. Two investments with the same CAGR can have very different risk profiles.