Calculate Compound Annual Growth Rate (CAGR) for your investments, business revenue, and portfolio growth with detailed formula breakdown
CAGR, or Compound Annual Growth Rate, is one of the most accurate ways to calculate and determine returns for investment portfolios, individual investments, and business metrics. It represents the rate at which an investment would have grown if it had grown at a steady, compounded rate over a specified period. Unlike simple average returns, CAGR accounts for the compounding effect, making it a more realistic measure of investment performance.
CAGR is the year-over-year growth rate of an investment over a specified period longer than one year. It represents a smoothed annual rate of growth, assuming the investment grew at a steady rate, even though actual returns may have fluctuated significantly. This makes CAGR particularly useful for comparing the performance of different investments or business metrics over time, regardless of volatility in the intermediate years.
The CAGR formula is: CAGR = (FV / PV)^(1/n) - 1
The formula calculates the geometric progression ratio that provides a constant rate of return over the time period. By raising the ratio to the power of 1/n, we effectively find the nth root, which gives us the annual equivalent rate.
Scenario: An e-commerce company's annual revenue grew from ₹50 lakhs in 2019 to ₹1.25 crores in 2024.
Calculation: CAGR = (₹1,25,00,000 / ₹50,00,000)^(1/5) - 1 = 20.11% per year
Interpretation: The company's revenue grew at an impressive 20.11% annually, indicating strong market traction and business scalability.
Scenario: A SaaS startup grew from 1,000 users in Year 1 to 25,000 users in Year 4.
Calculation: CAGR = (25,000 / 1,000)^(1/3) - 1 = 192.45% per year
Interpretation: This exceptional growth rate demonstrates viral product-market fit and effective customer acquisition strategies.
Scenario: A real estate investment portfolio valued at ₹2 crores in 2015 is now worth ₹3.5 crores in 2025.
Calculation: CAGR = (₹3.5 Cr / ₹2 Cr)^(1/10) - 1 = 5.75% per year
Interpretation: The portfolio appreciated at 5.75% annually, which is healthy considering real estate's stability and rental income benefits.
Scenario: You invested ₹1,00,000 in an equity mutual fund that is now worth ₹2,15,000 after 7 years.
Calculation: CAGR = (₹2,15,000 / ₹1,00,000)^(1/7) - 1 = 11.65% per year
Interpretation: The fund delivered solid returns above the typical equity market average, making it a good long-term investment.
Scenario: A stock was purchased at ₹500 and is currently trading at ₹1,850 after 6 years.
Calculation: CAGR = (₹1,850 / ₹500)^(1/6) - 1 = 24.38% per year
Interpretation: This exceptional return significantly outperforms market indices, indicating strong company fundamentals or sector growth.
CAGR vs. Average Return: Average return is calculated by simply adding up all yearly returns and dividing by the number of years. CAGR, however, accounts for compounding and volatility, providing a more accurate representation of actual growth. For example, if an investment goes from ₹100 to ₹200 to ₹100 over two years, the average return is 25%, but CAGR is 0% since there's no actual growth.
CAGR vs. Absolute Return: Absolute return shows the total percentage change without considering time. CAGR annualizes this return, making it easier to compare investments across different time periods. A 100% absolute return over 10 years (CAGR of 7.2%) is very different from 100% over 2 years (CAGR of 41.4%).
While CAGR is a powerful metric, it has limitations. It assumes smooth, constant growth and doesn't reflect actual volatility or year-to-year fluctuations. An investment with a 15% CAGR might have experienced +50% one year and -20% another. CAGR also doesn't account for additional investments or withdrawals made during the period. For a complete picture, use CAGR alongside other metrics like standard deviation, maximum drawdown, and Sharpe ratio.
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