How to Calculate CAGR: Compound Annual Growth Rate Formula & Guide

When evaluating investment performance across mutual funds, stocks, real estate, or business revenue, looking at simple percentage returns can be misleading. An investment that grows 50% over 5 years did not grow 10% each year, because compounding accelerates capital growth over time.

To measure the true geometric annualized rate of return for an investment held over multiple years, investors use CAGR (Compound Annual Growth Rate). This guide explains what CAGR is, breaks down the mathematical formula, provides a step-by-step numerical example, compares CAGR with Absolute Return, and shows how to calculate growth using the CalculatorAll CAGR Calculator.

Quick Answer

The standard mathematical formula to calculate Compound Annual Growth Rate (CAGR) is:

CAGR = [(Final Value / Initial Value) ^ (1 / Years)] - 1

Where:

• Final Value: The ending portfolio balance or asset value.
• Initial Value: The starting capital or purchase cost.
• Years: The investment duration in total years.

For example, an investment of ₹1,00,000 that grows to ₹2,00,000 over 5 years has an absolute growth of 100%, but a CAGR of 14.87% per annum.

Absolute Return vs. CAGR Comparison

Step-by-Step Numerical Example

Let's calculate the CAGR for a mutual fund portfolio step-by-step:

• Initial Investment Value (P₀): ₹5,00,000
• Final Portfolio Value (Pₙ): ₹9,50,000
• Investment Horizon (n): 6 Years

Step 1: Divide Final Value by Initial Value

9,50,000 / 5,00,000 = 1.90

Step 2: Compute Exponent (1 / Years)

1 / 6 = 0.166667

Step 3: Raise Ratio to Exponent Power

(1.90) ^ 0.166667 = 1.11287

Step 4: Subtract 1 and Convert to Percentage

1.11287 - 1 = 0.11287 = 11.29%

Summary Result

Over 6 years, your portfolio generated a CAGR of 11.29% per year.

How to Calculate CAGR Using CalculatorAll

Calculating fractional exponents manually requires a scientific calculator. With the CalculatorAll CAGR Calculator, you get instant results.

1. Enter Initial Value: Input your starting capital.
2. Enter Final Value: Input your current ending balance.
3. Select Investment Tenure: Choose the duration in years.
4. View Annualized Rate: Instantly view your exact CAGR percentage and year-by-year simulated growth table.

Key Applications & Limitations of CAGR

Where CAGR Is Used:

• Mutual Fund Performance Factsheets: Comparing 3-year, 5-year, and 10-year equity scheme returns.
• Stock & Portfolio Analysis: Evaluating long-term company revenue growth or stock price appreciation.
• Real Estate Returns: Measuring annualized property value appreciation over a decade.

Limitations to Keep in Mind:

• Assumes Smooth Growth: CAGR provides a smoothed annual rate. It does not reflect market volatility or market crashes in interim years.
• Not Suitable for SIPs: CAGR is designed for single lump-sum investments. For staggered monthly investments (SIPs), use XIRR (Extended Internal Rate of Return).

Frequently Asked Questions

What is a good CAGR for equity mutual funds in India?

Historically, broad market equity indices (like Nifty 50 and BSE Sensex) have delivered long-term CAGRs between 11% and 14% over 10+ year periods.

Can CAGR be negative?

Yes. If your final investment value is lower than your starting capital, the resulting CAGR will be negative, representing the annualized percentage loss.

What is the difference between CAGR and IRR?

CAGR is used for a single initial investment and a single final cash flow. IRR (Internal Rate of Return) handles multiple staggered cash inflows and outflows over time.