Calculate Compound Annual Growth Rate from beginning and ending values. Solve for end value, start value, or years. Compare to benchmarks.
Solve For
Values
CAGR
9.60%
$10,000 → $25,000 in 10 years
CAGR
9.60%
Total Return
150.0%
Total Gain
$15,000
Real CAGR (inflation-adj)
6.41%
Doubling Time
7.2 yrs
MOIC
2.50×
IRR (w/ contributions)
—
After-Tax CAGR → FV
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Growth Curve
%≈15% equity, ≈5% bonds
Shaded indigo region = cumulative inflation drag (gap between nominal & real growth).
Growth Milestones
Year
Value
Growth
% of Start
Future Value Projections by CAGR
CAGR
5 Years
10 Years
20 Years
30 Years
Sensitivity — CAGR × Years
Terminal value of your starting capital across a range of growth rates and horizons. Your CAGR row is highlighted; cells are tinted by value.
Historical Asset Presets
Your CAGR vs Benchmarks
Benchmark
Hist. CAGR
$10k in 10 yrs
vs Your Return
Terminal Value Comparison
Historical returns are approximate long-term averages. Past performance does not guarantee future results.
Multi-Investment Comparison
Enter up to 3 investments to compare their CAGR, total return, and MOIC side by side.
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Goal Seeker
Reverse-engineer the growth rate or future value needed to hit your financial targets.
Double My Money
What CAGR do I need to double my investment in N years?
Reach a Target
What CAGR do I need to grow from $X to $Y in N years?
Project My Growth
What will my investment be worth growing at X% per year?
Reverse-Engineer Returns
What would my investment be worth if I had bought in a past year using a historical asset class?
✓ Verified Financial Tool
Last Audited: June 2026 | Next Audit: December 2026 | Formula Standard: Discrete annual compounding (exact periodic rate) | IRR Method: Newton–Raphson (monthly cash flows)
CAGR is computed using the standard discrete compounding formula: CAGR = (EV / BV)1/n − 1. Real (inflation-adjusted) CAGR uses the exact Fisher equation: Real CAGR = (1 + Nominal) / (1 + Inflation) − 1 — not simple subtraction, which understates the drag at higher inflation rates. Doubling and halving times use the exact logarithmic formula t = ln(2) / ln(1 + r). FV-of-annuity calculations use the exact monthly compounding rate rm = (1 + CAGR)1/12 − 1. Monte Carlo projections use a seeded lognormal model (1,000 trials, Itô-corrected mean) producing deterministic p10/p50/p90 percentile bands. For educational and planning purposes only. Not investment advice. Past performance does not guarantee future results. Always consult a licensed financial advisor (CFA, CFP, or RIA) before making investment decisions.
References & Standards: Fisher, I. (1930). The Theory of Interest. Macmillan. · Bodie, Z., Kane, A., & Marcus, A. J. (2021). Investments (12th ed.). McGraw-Hill. · Damodaran, A. (2022). Investment Valuation (4th ed.). Wiley. · CFA Institute. (2024). Time Value of Money. CFA Program Curriculum, Level I. · U.S. SEC / Investor.gov. (2024). Compound Interest Calculator. investor.gov/compound-interest-calculator. · Leland, H. (1999). "Beyond Mean-Variance: Performance Measurement in a Nonsymmetrical World." Financial Analysts Journal, 55(1), 27–36. · Black, F., & Scholes, M. (1973). "The Pricing of Options and Corporate Liabilities." Journal of Political Economy, 81(3), 637–654. (Monte Carlo background.)
4 min read3 steps5 terms2 examples5 FAQsCAGR = (Ending Value / Beginning Value)^(1/n) − 1
CAGR is the standard language of investment performance — it tells you the steady annual growth rate that would have produced the same result as actual volatile returns.
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Walk-through
How to Use This Calculator
1
Enter Investment Values
Input your beginning value, ending value, and the number of years covering the investment period.
2
Review the Growth Rate
Review the Compound Annual Growth Rate, total return percentage, and Rule of 72 doubling time displayed in the results.
3
Compare Investments
Use the CAGR results to compare different investments on an equal annualized basis, regardless of holding period or dollar amount.
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Reference
Formula & Methodology
CAGR
CAGR = (Ending Value / Beginning Value)^(1/n) − 1
Where n is the number of years. CAGR smooths out volatile annual returns into a single equivalent annual growth rate.
Total Return
Total Return = (Ending − Beginning) / Beginning × 100%
The overall percentage gain or loss over the entire period, before annualizing.
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YMYL
Trust, Methodology & Sources
Reviewed by Calculover Editorial ReviewUpdated 2026-05-102 sourcesMethodology & limitations▸
Reviewer: Calculover Editorial Review - Source and limitation review
Last reviewed: 2026-05-10
Last verified: 2026-05-10
Data effective: 2026-05-10
Methodology
CAGR Calculator applies the formula shown on the page to user-entered principal, rate, period, cash-flow, and return assumptions; investment results are projections, not predictions.
Assumption: CAGR Calculator relies on the values the user enters and does not independently verify income, balances, legal status, policy terms, or market quotes.
Assumption: Rates of return, reinvestment, compounding frequency, fees, taxes, and cash-flow timing are simplified to the selected inputs.
Assumption: Actual market returns are volatile and can differ materially from the constant-rate or scenario assumptions.
Limitations & guidance
CAGR Calculator does not recommend securities, predict returns, include every fee or tax consequence, or assess whether an investment is suitable for the user.
Actual results depend on market performance, timing, taxes, fees, liquidity, reinvestment, and risk tolerance.
Professional guidance: CAGR Calculator is for investment math education only and is not investment, tax, legal, or financial advice. Consider risk, fees, taxes, and suitability before acting.
CAGRCompound Annual Growth Rate — the constant annual rate that would grow an investment from its beginning to ending value over the given period.
Total ReturnThe overall percentage gain or loss of an investment over the full holding period, not converted to an annualized rate.
Annualized ReturnA return figure restated as an equivalent yearly rate, allowing apples-to-apples comparison across investments with different holding periods.
Doubling TimeThe number of years required for an investment to double at the calculated CAGR, approximated by dividing 72 by the CAGR percentage (Rule of 72).
Geometric MeanThe mathematically correct average for compounding returns; CAGR is equivalent to the geometric mean of annual returns over the period.
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Scenarios
Real-World Examples
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Alex
Stock Portfolio Growth
Beginning value $10,000Ending value $25,000Period 8 years
CAGR = 12.14%. The portfolio grew at an equivalent 12.14% per year, doubling roughly every 6 years — a strong long-term result consistent with the historical S&P 500 average.
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Sarah
Real Estate Appreciation
Purchase price $300,000Current value $420,000Period 5 years
CAGR = 6.96%. The property appreciated at about 7% annually over five years, outpacing typical 3% inflation and delivering meaningful real growth in purchasing power.
CAGR is the standard language of investment performance — it tells you the steady annual growth rate that would have produced the same result as actual volatile returns. When fund managers, company reports, and financial media quote growth figures, they almost always use CAGR. Understanding it lets you evaluate and compare investment claims accurately.
Why CAGR Matters More Than Average Return
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Simple average returns are mathematically misleading for investments because they ignore compounding effects. Consider an investment that gains 100% one year and loses 50% the next. The simple average return is 25% — which sounds excellent. But in reality, the investment is back exactly where it started: $10,000 grows to $20,000 then falls to $10,000. The actual return is 0%. CAGR captures this reality. Since the ending value equals the beginning value, CAGR is correctly calculated as 0%, not 25%.
This gap between arithmetic mean (simple average) and geometric mean (CAGR) grows with volatility. A highly volatile investment with a high arithmetic return may have a much lower CAGR than a less volatile investment with a lower arithmetic return. This is why financial professionals use CAGR — or its cousin, the time-weighted return — rather than simple averages when evaluating investment performance. Whenever someone shows you an average return figure without specifying whether it is arithmetic or geometric, you should ask which one is being reported. For most investment decisions, only the geometric figure matters.
CAGR vs. IRR: When Each Applies
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CAGR works perfectly for lump-sum investments where you put money in at a single point in time, leave it untouched, and evaluate it at a single endpoint. If you invested $10,000 in a mutual fund in 2015 and it is worth $25,000 in 2023, CAGR gives you the exact equivalent annual growth rate with no ambiguity.
IRR (Internal Rate of Return) is more appropriate when there are multiple cash flows over the investment period — additional contributions, partial withdrawals, or periodic income. If you invested $10,000 in 2015, added $2,000 in 2018, and the portfolio is worth $30,000 in 2023, CAGR would give a misleading answer because it ignores the timing and size of the intermediate contribution. IRR correctly accounts for when each dollar was invested and returned. Real estate investors almost always use IRR rather than CAGR when evaluating rental properties because rental income, capital expenditure, refinancing proceeds, and the eventual sale all happen at different times and amounts. For personal investing with regular contributions (such as monthly 401(k) deposits), the dollar-weighted return (DWRR) or personal IRR is the most meaningful performance metric.
Limitations and What CAGR Hides
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CAGR is a smoothing function — it replaces the actual jagged path of returns with a clean straight line. This is useful for comparison but can create a dangerously false sense of precision. Two investments can have identical CAGRs with radically different risk profiles. A portfolio that earned exactly 10% every year for 10 years has the same 10% CAGR as one that lost 20% three times and gained 60% four times. Your experience holding these two portfolios would be completely different, especially if you needed to sell during a down year.
Always consider CAGR alongside risk measures: standard deviation (how wide the swings were), maximum drawdown (the worst peak-to-trough decline), and Sharpe ratio (return per unit of risk). CAGR also assumes full reinvestment of all gains at the same rate — in practice, dividends may not be reinvested, capital gains taxes reduce the compounding base, and fees erode returns annually. When comparing two investments with similar CAGRs, the one with lower fees and less volatility is generally superior on a risk-adjusted basis. CAGR is the starting point for investment evaluation, not the ending point.
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Questions
Frequently Asked Questions
What is CAGR and how is it different from average return?+
CAGR represents the constant annual rate that would grow an investment from its beginning value to its ending value over a given period. Unlike simple average return, CAGR accounts for compounding effects and gives a more accurate picture of actual investment performance — particularly for volatile portfolios.
How do I use this calculator to compare two investments?+
Enter the beginning value, ending value, and time period for each investment separately. The resulting CAGR percentages can be directly compared since they normalize returns to an annualized basis, regardless of different holding periods or investment amounts.
What does the inflation-adjusted (Real) CAGR tell me?+
Real CAGR subtracts the inflation rate from your nominal CAGR to show your actual purchasing power growth. A 9% nominal CAGR with 3% inflation gives roughly 6% real growth — what your investment truly earned after accounting for rising prices.
Can CAGR be used for projecting future investment values?+
Yes, but with caution. CAGR assumes a smooth constant growth rate, while actual returns fluctuate year to year. Use the Projector tab to see future value estimates at different CAGR rates, but remember that past CAGR does not guarantee future performance.
What is the Rule of 72 doubling time shown in the results?+
The Rule of 72 is a quick estimation method: divide 72 by the CAGR percentage to get the approximate number of years for your investment to double. At a 9.6% CAGR, your investment would roughly double every 7.5 years.