CAGR Calculator

Calculate Compound Annual Growth Rate (CAGR) to measure investment performance over time.

Investment Values

$
$
years

CAGR Formula: CAGR = (Final Value / Initial Value)^(1/n) - 1

Compound Annual Growth Rate

+20.11%

per year over 5 years

Total Return
$15,000
Growth Multiple
2.50x

Growth Summary

Initial Investment$10,000
Final Value$25,000
Investment Period5 years
CAGR+20.11%

Year-by-Year Growth

YearStart ValueEnd ValueGrowth
1$10,000$12,011$2,011
2$12,011$14,427$2,416
3$14,427$17,329$2,902
4$17,329$20,814$3,485
5$20,814$25,000$4,186

What is CAGR (Compound Annual Growth Rate)?

CAGR (Compound Annual Growth Rate) is a useful metric that measures the mean annual growth rate of an investment over a specified time period longer than one year. It represents the rate at which an investment would have grown if it had grown at a steady rate each year.

CAGR is widely used because it smooths out the volatility of year-to-year performance, providing a cleaner picture of an investment's growth trajectory. Unlike simple average returns, CAGR accounts for the compounding effect.

Why CAGR matters:

  • Standardized comparison: Compare investments with different time horizons
  • Smooths volatility: Ignores year-to-year fluctuations
  • Realistic projection: Shows sustainable growth rate
  • Industry standard: Used by analysts, fund managers, and investors worldwide
  • Compounding included: Reflects true growth including reinvestment

CAGR vs. Average Annual Return:

If an investment grows 50% in year 1 and drops 50% in year 2, the average return is 0%. But actually, Rs. 100 becomes Rs. 150, then Rs. 75 - a loss! CAGR would show -13.4%, reflecting reality.

CAGR Formula and Calculation

The CAGR formula calculates the constant rate at which an investment would have grown if it had compounded at the same rate every year.

CAGR Calculation Formula

CAGR = [(Ending Value / Beginning Value)^(1/n)] - 1

Where:

  • Ending Value= Final investment value after the period
  • Beginning Value= Initial investment at the start
  • n= Number of years (investment period)
  • CAGR= Expressed as percentage (multiply by 100)

Step-by-Step CAGR Calculation

Let's break down how to calculate CAGR manually:

Step 1: Gather Your Data

  • Beginning Value: Your initial investment amount
  • Ending Value: Current or final value of investment
  • Time Period: Number of years held

Step 2: Calculate the Ratio

Divide the ending value by the beginning value to get the growth multiple.

Example: Rs. 3,00,000 / Rs. 1,00,000 = 3 (investment tripled)

Step 3: Apply the Exponent

Raise the ratio to the power of (1/n), where n is years.

Example: 3^(1/10) = 3^0.1 = 1.1161

Step 4: Subtract 1

Subtract 1 and multiply by 100 for percentage.

Example: (1.1161 - 1) × 100 = 11.61%

Quick Method: Use our calculator to instantly compute CAGR by entering your values.

How to Use This CAGR Calculator

Our CAGR calculator makes growth analysis simple and accurate:

  1. Enter Beginning Value: The initial investment amount
  2. Enter Ending Value: The current or final value
  3. Enter Time Period: Number of years (can use decimals for months)
  4. View CAGR: Your compound annual growth rate appears instantly

Advanced Features:

  • Compare multiple investments side by side
  • Project future values using calculated CAGR
  • Calculate required CAGR to reach a target
  • Analyze historical returns of stocks, mutual funds, real estate

Tips for Accurate Results:

  • Include all dividends/distributions reinvested for total return CAGR
  • Use the same time points consistently
  • For partial years, express as decimal (e.g., 3.5 years)

Real-World Applications of CAGR

CAGR is used across various financial and business contexts:

1. Investment Analysis

  • Mutual fund performance comparison
  • Stock portfolio evaluation
  • Real estate appreciation analysis
  • Retirement corpus growth tracking

2. Business Growth

  • Revenue growth rate
  • Customer acquisition growth
  • Market share expansion
  • Profit growth analysis

3. Economic Indicators

  • GDP growth rate
  • Inflation measurement
  • Salary growth over career
  • Industry growth trends

4. Financial Planning

  • Setting realistic investment goals
  • Projecting future portfolio values
  • Comparing different asset classes
  • Benchmarking against indices

CAGR vs. Other Return Metrics

Understanding different return metrics helps you choose the right one:

CAGR vs. Absolute Return:

  • Absolute Return: Total percentage gain/loss over entire period
  • CAGR: Annualized rate accounting for compounding
  • Example: 100% absolute return over 7 years = 10.4% CAGR

CAGR vs. Average Annual Return:

  • Average: Simple mean of yearly returns
  • CAGR: Geometric mean considering compounding
  • Average often overstates actual growth

CAGR vs. XIRR:

  • CAGR: Works for single investment held throughout
  • XIRR: Handles multiple cash flows at different times
  • Use XIRR for SIPs or investments with additions/withdrawals

CAGR vs. IRR:

  • CAGR: Simple growth from point A to B
  • IRR: Internal rate considering all cash flows
  • IRR is more comprehensive for complex investments
Metric Best For Limitation
CAGR Lump sum investments Ignores volatility
XIRR SIPs, irregular cash flows Complex calculation
Absolute Return Total gain overview Not time-adjusted

Limitations of CAGR

While CAGR is useful, it has important limitations to consider:

1. Hides Volatility

CAGR shows a smooth growth rate, hiding the ups and downs. An investment with wild swings and a stable one can have the same CAGR but very different risk profiles.

2. Assumes Constant Growth

Real investments don't grow at constant rates. CAGR provides a hypothetical steady growth rate, not actual year-by-year performance.

3. Point-to-Point Sensitivity

CAGR depends heavily on start and end dates. Cherry-picking dates can make performance look better or worse than reality.

4. Doesn't Account for Cash Flows

CAGR works only for lump sum investments. For SIPs or investments with additions/withdrawals, use XIRR instead.

5. Past Performance Caveat

Historical CAGR doesn't guarantee future returns. Markets change, and past growth rates may not continue.

Best Practice: Use CAGR alongside other metrics like standard deviation, Sharpe ratio, and maximum drawdown for complete investment analysis.

Worked Examples

Mutual Fund Performance

Problem:

Your mutual fund investment of Rs. 1,00,000 grew to Rs. 2,50,000 over 8 years. What is the CAGR?

Solution Steps:

  1. 1Beginning Value = Rs. 1,00,000
  2. 2Ending Value = Rs. 2,50,000
  3. 3Time Period (n) = 8 years
  4. 4CAGR = (2,50,000 / 1,00,000)^(1/8) - 1
  5. 5CAGR = (2.5)^0.125 - 1
  6. 6CAGR = 1.1214 - 1
  7. 7CAGR = 0.1214 = 12.14%

Result:

CAGR = 12.14% per annum. Your investment grew at an average compounded rate of 12.14% annually.

Stock Investment Analysis

Problem:

A stock was Rs. 500 five years ago and is now Rs. 1,200. Calculate the CAGR.

Solution Steps:

  1. 1Beginning Value = Rs. 500
  2. 2Ending Value = Rs. 1,200
  3. 3Time Period = 5 years
  4. 4CAGR = (1200 / 500)^(1/5) - 1
  5. 5CAGR = (2.4)^0.2 - 1
  6. 6CAGR = 1.1913 - 1
  7. 7CAGR = 0.1913 = 19.13%

Result:

CAGR = 19.13% per annum. The stock delivered excellent returns, outperforming most equity benchmarks.

Business Revenue Growth

Problem:

Company XYZ had revenue of Rs. 10 crores in 2019 and Rs. 25 crores in 2024. What's the revenue CAGR?

Solution Steps:

  1. 1Beginning Revenue = Rs. 10 crores
  2. 2Ending Revenue = Rs. 25 crores
  3. 3Time Period = 5 years
  4. 4CAGR = (25 / 10)^(1/5) - 1
  5. 5CAGR = (2.5)^0.2 - 1
  6. 6CAGR = 1.2011 - 1
  7. 7CAGR = 0.2011 = 20.11%

Result:

Revenue CAGR = 20.11%. The company achieved impressive 20%+ annual revenue growth over 5 years.

Tips & Best Practices

  • Use CAGR to compare investments with different holding periods on equal footing
  • For mutual fund comparison, use 3-year or 5-year CAGR as industry standard
  • Remember CAGR hides volatility - check year-wise returns and standard deviation too
  • Don't compare CAGR across different asset classes without considering risk
  • Use XIRR instead of CAGR for SIPs and investments with multiple cash flows
  • Be cautious of cherry-picked time periods that inflate CAGR artificially
  • Historical CAGR doesn't guarantee future returns - past performance varies
  • Combine CAGR with Sharpe ratio for risk-adjusted return comparison

Frequently Asked Questions

A 'good' CAGR depends on asset class and risk. Equity investments typically target 12-15% CAGR over long periods. Debt instruments aim for 7-9%. Real estate historically delivers 8-12%. Compare CAGR against relevant benchmarks - beating the Nifty 50 CAGR for equity, or FD rates for debt investments. Higher CAGR usually means higher risk.
CAGR accounts for compounding while average return doesn't. If you gain 100% in year 1 (Rs.100 to Rs.200) and lose 50% in year 2 (Rs.200 to Rs.100), average return is 25% - but you're back to start! CAGR correctly shows 0%. CAGR reflects your actual investment experience and is more realistic for comparison.
Yes, CAGR is negative when the ending value is less than the beginning value. For example, Rs. 1,00,000 declining to Rs. 80,000 over 3 years gives a CAGR of -7.17%. A negative CAGR indicates the investment lost value on a compounded annual basis.
No, CAGR isn't appropriate for SIPs because it assumes a single lump sum investment. For SIPs with regular contributions, use XIRR (Extended Internal Rate of Return), which accounts for multiple cash flows at different times. XIRR gives you the true annualized return considering all your SIP installments.
Ensure both investments have the same time period for fair comparison. A 5-year CAGR shouldn't be compared with a 10-year CAGR. Also consider risk - two investments with 15% CAGR may have different volatility. Combine CAGR with risk metrics like standard deviation for comprehensive comparison.
The Rule of 72 provides a quick estimate of years to double your investment. Divide 72 by CAGR to get doubling time. At 12% CAGR, money doubles in ~6 years (72/12). At 15% CAGR, it doubles in ~4.8 years. This rule is derived from the CAGR formula and is useful for quick mental calculations.

Sources & References

Last updated: 2026-01-22