CAGR Calculator - Compound Annual Growth Rate Analysis

Calculate compound annual growth rate (CAGR) for investments, project future values, and analyze investment performance. Compare returns, understand compounding effects, and make informed investment decisions.

CAGR Calculator Parameters
CAGR Formula

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

Where n = number of years

CAGR Analysis Results
View your calculated CAGR analysis and projections.
8.45%
Compound Annual Growth Rate
8.45%
Annual Growth Rate
50.00%
Total Return
Investment Breakdown
Beginning Value$10,000
Ending Value$15,000
Total Growth50.00%
Investment Performance Metrics
8.45%
CAGR
10.0%
Average Annual Return
9
Years to Double
2.25
10-Year Multiplier
Compound vs. Simple Interest Comparison
Compound Interest (CAGR)
$15,000

Interest earns interest

Simple Interest
$14,224

Fixed annual interest

Compound Advantage: $776

Additional return from compounding effect

CAGR Scenarios Analysis
ScenarioCAGRFinal ValueTotal ReturnYears to Double
Conservative4.00%$12,16721.67%18 years
Balanced7.00%$14,02640.26%10 years
Growth10.00%$16,10561.05%7 years
Aggressive15.00%$20,114101.14%5 years
Your Investment8.45%$15,00050.00%9 years
CAGR Optimization Recommendations
  • CAGR of 8.4% is in the healthy range for long-term wealth building.
Detailed CAGR Analysis
This table shows the year-by-year growth progression based on your CAGR.
YearBeginning ValueGrowth AmountEnding ValueCumulative Growth
1$10,000$845$10,8458.45%
2$10,845$916$11,76117.61%
3$11,761$993$12,75427.54%
4$12,754$1,077$13,83238.32%
5$13,832$1,168$15,00050.00%
CAGR Analysis Insights
💡 Key Benefits
  • Smooths out year-to-year volatility
  • Standardizes returns for comparison
  • Shows true compound growth rate
  • Useful for long-term planning
📊 Important Notes
  • CAGR assumes steady growth rate
  • Real investments have volatility
  • Past performance doesn't guarantee future results
  • Consider risk-adjusted returns

Understanding CAGR

Compound Annual Growth Rate (CAGR) is the rate of return required for an investment to grow from its beginning value to its ending value over a specific time period, assuming profits are reinvested and compounding occurs. CAGR provides a standardized way to compare investments across different time periods and smooths out the volatility that comes with year-to-year performance variations. Understanding CAGR is essential for investment analysis, retirement planning, and making informed financial decisions about your portfolio's performance expectations.

📊 Growth Rate

Measures average annual return assuming steady growth and reinvestment.

💰 Compounding

Accounts for reinvestment of returns over the investment period.

📈 Performance

Smooths volatility to show underlying growth trend.

🎯 Comparison

Enables fair comparison of investments across different time periods.

CAGR Formula & Calculation

📊 CAGR Formula

CAGR = (Ending Value ÷ Beginning Value)^(1/n) - 1
Ending Value
Final investment amount
Beginning Value
Initial investment amount
n
Number of years

💡 Example Calculation

Input Values

Initial: $10,000
Final: $16,105
Period: 5 years

Result
10% CAGR
Average annual growth rate

CAGR vs Other Metrics

While CAGR is an excellent tool for measuring investment performance, it's important to understand how it compares to other financial metrics. Each metric serves different purposes in investment analysis, and using the right metric for your specific situation will lead to better decision-making. CAGR excels at showing long-term growth trends but should be complemented with other metrics for comprehensive analysis.

🎯 Choosing the Right Metric

CAGR
Long-term performance comparison
Average Return
Expected yearly returns
Total Return
Overall investment gain/loss
IRR
Complex cash flow analysis

Investment Applications

📊 Portfolio Performance

  • • Mutual fund & ETF tracking
  • • Individual stock analysis
  • • Portfolio growth metrics
  • • Benchmark comparisons

🎯 Goal Setting

  • • Investment targets
  • • Retirement planning
  • • Advisor evaluation
  • • Investment selection

⚖️ Risk Analysis

  • • Sharpe ratio comparison
  • • Maximum drawdowns
  • • Volatility assessment
  • • Return consistency

Business Growth Analysis

CAGR is not limited to investment analysis - it's equally valuable for evaluating business performance and growth metrics. Companies use CAGR to track revenue growth, earnings progression, and market share expansion over multiple years. Investors and analysts rely on CAGR to compare companies within the same industry and assess management effectiveness in growing the business consistently over time.

📈 Revenue Growth

  • • Sales growth trends
  • • Market share expansion
  • • Product line performance
  • • Geographic expansion

💰 Profitability

  • • Earnings per share
  • • EBITDA growth
  • • Cash flow trends
  • • Dividend increases

🏢 Competition

  • • Industry benchmarks
  • • Market cap growth
  • • Customer acquisition
  • • Global expansion

Interpreting CAGR Results

Interpreting CAGR results requires context and understanding of market benchmarks, risk factors, and time periods. A high CAGR may indicate excellent performance, but it could also signal higher volatility or risk. Conversely, a moderate CAGR might represent consistent, stable growth that's more sustainable long-term. Compare your results to relevant benchmarks and consider the risk-adjusted returns for a complete picture of investment performance.

📊 Benchmark Returns

Stocks
~10%
S&P 500 Historical
Bonds
5-6%
Bond Index Returns

🏠 Alternative Assets

Real Estate
8-12%
REIT Index Returns
Inflation
~3%
Historical Average

⏳ Time Period Analysis

Short Periods
Can show extreme values
Long Periods
More reliable trends
Market Cycles
Include full cycles
Start/End Points
Impact results significantly

Common CAGR Pitfalls

Understanding common mistakes and limitations in CAGR analysis helps you make better investment decisions and avoid unrealistic expectations. While CAGR is a powerful tool, it has limitations that investors should recognize. Awareness of these pitfalls will help you use CAGR effectively as part of a comprehensive investment analysis approach.

⚠️ Volatility Misconceptions

  • • Not yearly consistent returns
  • • Doesn't indicate risk level
  • • No future guarantees
  • • Losses still possible

⏰ Period Selection

  • • Avoid favorable bias
  • • Don't start at bottoms
  • • Don't end at peaks
  • • Include recent data

🎯 Risk Factors

  • • Volatility variations
  • • Drawdown potential
  • • Liquidity differences
  • • Correlation impacts

Real-World CAGR Examples

Examining real-world examples of CAGR across different asset classes, time periods, and market conditions provides valuable insights into what constitutes realistic return expectations. These examples demonstrate how CAGR applies to actual investments and help you set appropriate benchmarks for your own portfolio performance evaluation.

📈 Market Returns

S&P 500
10.5%
1926-2023
NASDAQ
10.7%
1971-2023

🏢 Business Growth

Amazon
26%
Revenue Growth
Apple
17%
Revenue Growth

💼 Investment Strategies

60/40 Portfolio
8-9%
Historical Returns
Value Investing
13-15%
Top Managers

Frequently Asked Questions

Tax Implications of Investment Growth

When analyzing CAGR, it's crucial to consider the tax implications of your investment growth, as taxes can significantly impact your actual returns. Different types of investments are taxed differently, and the timing of when you realize gains affects your overall CAGR. Understanding these tax considerations helps you make more informed decisions about investment vehicles and timing strategies.

🏛️ Tax-Advantaged Accounts

  • • 401(k) and IRA growth is tax-deferred
  • • Roth accounts provide tax-free growth
  • • No annual tax drag on compound growth
  • • Higher effective CAGR in retirement accounts

💰 Taxable Accounts

  • • Annual tax on dividends and interest
  • • Capital gains tax when selling
  • • Tax drag reduces effective CAGR
  • • After-tax CAGR is lower than pre-tax

💡 Tax-Adjusted CAGR Example

10%
Pre-Tax CAGR
8.5%
After-Tax CAGR (22% bracket)
7%
Real After-Tax (3% inflation)

Advanced CAGR Analysis Techniques

Beyond basic CAGR calculations, advanced techniques can provide deeper insights into investment performance and risk. These methods help professional investors and financial advisors make more nuanced decisions about portfolio construction and performance evaluation.

📊 Risk-Adjusted CAGR

  • • Sharpe ratio analysis
  • • Maximum drawdown consideration
  • • Volatility-adjusted returns
  • • Sortino ratio evaluation

⏱️ Rolling CAGR

  • • Multiple time period analysis
  • • Consistency evaluation
  • • Market cycle impact
  • • Entry/exit timing effects

🎯 Probability Analysis

  • • Monte Carlo simulations
  • • Success probability estimation
  • • Worst-case scenario planning
  • • Range of outcome analysis

Key Takeaways for CAGR Analysis

CAGR provides a standardized way to measure and compare investment performance across different time periods by smoothing out yearly volatility. Use our comprehensive calculator above to analyze historical performance, project future values, and compare different investment scenarios. Remember that CAGR assumes steady growth, while real investments experience volatility and market cycles.

Understanding the difference between CAGR and other metrics like average returns and IRR is crucial for proper investment analysis. CAGR is ideal for buy-and-hold strategies, while IRR better handles multiple cash flows. Consider using our IRR Calculator for complex investment scenarios with regular contributions or withdrawals.

Tax implications significantly impact your real CAGR, especially in taxable accounts where annual taxes create drag on compound growth. Tax-advantaged accounts like 401(k)s and IRAs allow the full power of compounding to work. Use our 401(k) Calculator and IRA Calculator to optimize your retirement savings strategy.

CAGR analysis should always include risk considerations and market context. A 15% CAGR over 3 years might not be sustainable long-term, while a consistent 8% CAGR over 20 years demonstrates more reliable performance. Use CAGR alongside other metrics and always consider your risk tolerance, investment timeline, and overall financial goals when making investment decisions.

Frequently Asked Questions

CAGR (Compound Annual Growth Rate) is the rate of return required for an investment to grow from its beginning value to its ending value over a specific time period, assuming profits are reinvested. It's important because it smooths out volatility and provides a standardized way to compare different investments across different time periods.
CAGR accounts for compounding effects and provides a geometric mean, while average annual return is an arithmetic mean. For example, if an investment returns +20% one year and -10% the next, the average return is 5%, but the CAGR is 4.4%. CAGR better represents the actual growth rate of your investment.
Historically, the S&P 500 has achieved approximately 10-11% CAGR over long periods. Conservative investments (bonds, CDs) typically achieve 3-6% CAGR, balanced portfolios 7-9% CAGR, and growth investments may target 10-15% CAGR. However, higher CAGR usually comes with higher risk and volatility.
Yes, CAGR can be negative, indicating that the investment lost value over the period. A negative CAGR means the ending value is less than the beginning value. For example, a -5% CAGR over 3 years means the investment lost an average of 5% per year compounded.
Use CAGR to: 1) Set realistic return expectations based on historical data, 2) Calculate how much you need to invest initially to reach a financial goal, 3) Project future portfolio values, 4) Compare different investment options fairly, and 5) Assess if your current investments are meeting your long-term objectives.
CAGR limitations include: 1) It assumes a steady growth rate, while real investments have volatility, 2) It doesn't account for risk or drawdowns, 3) Past CAGR doesn't guarantee future performance, 4) It doesn't consider the timing of cash flows (like IRR does), and 5) Short-term CAGR can be misleading due to market timing effects.
CAGR assumes annual compounding by default, but investments may compound more frequently (quarterly, monthly, daily). More frequent compounding can lead to higher effective returns. However, CAGR calculations typically use the beginning and ending values regardless of compounding frequency, focusing on the overall growth rate achieved.
Use CAGR for simple buy-and-hold investments with no additional cash flows. Use IRR (Internal Rate of Return) when you have multiple cash flows, such as regular contributions to a retirement account or dividend reinvestment. CAGR is simpler and more intuitive, while IRR provides more accurate analysis for complex cash flow scenarios.
Standard CAGR calculations don't account for taxes or inflation. For after-tax analysis, use net returns after applicable taxes. For real returns, subtract inflation from your CAGR. A 10% nominal CAGR with 3% inflation equals a 7% real CAGR. Consider both factors for accurate long-term planning and wealth preservation analysis.
The Rule of 72 estimates how long it takes for an investment to double: divide 72 by the CAGR. For example, at 8% CAGR, an investment doubles in approximately 9 years (72 ÷ 8 = 9). This quick calculation helps evaluate the power of compound growth and set realistic timeline expectations for investment goals.

Related Financial Calculators