Annualized Return Calculator
Calculate CAGR, total return, and investment growth with a live chart.
Investment Details
Annualized Return (CAGR)
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per year
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Total Return
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Final Value
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Total Gain
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Growth Multiple
Investment Growth
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How to use this calculator
Six fields. Four are required. Two are optional but worth using.
Initial investment — What you put in at the start, in your chosen currency. This is the amount you invested on day one, before any growth or contributions.
Ending value — What the investment is worth now (or at the end of the period). For stocks, use the current market value including reinvested dividends if applicable. For a savings account, use the current balance.
Duration — How long the investment has been held. Toggle between years, months, or days. If you’re calculating across, say, 3 years and 8 months, convert to months (44) for a more precise result.
Compounding frequency — How often returns compound within the period. Annually is standard for most investment comparisons. Monthly is appropriate for savings accounts and some bonds. Daily is used for money market accounts and some ETF calculations. The more frequent the compounding, the slightly higher the effective annual return for the same nominal rate.
Additional contributions per period (optional) — Regular deposits added during the investment period. If you’ve been adding $200/month to a brokerage account, enter 200 here and set compounding to monthly. This changes the calculation from simple CAGR to a future value with contributions formula.
Inflation rate % (optional) — Enter your country’s average annual inflation during the period (or expected inflation going forward). The calculator outputs both nominal return (before inflation) and real return (after inflation is stripped out). For most developed markets, 2-3% is a reasonable assumption. India’s recent CPI has run closer to 5-6%.
The outputs: CAGR (the annualized rate), total return percentage, total profit in dollars, and if you entered inflation, the real annualized return and real ending value in today’s purchasing power.
Quick example — $10,000 to $15,000 over 5 years
Initial: $10,000 / Ending: $15,000 / Duration: 5 years / No contributions / No inflation
CAGR = (15,000 / 10,000)^(1/5) - 1 = 8.45% per year
Total return = 50%
That 8.45% annualized is what you compare to other investments, market benchmarks, and inflation. The 50% total tells you what happened. The 8.45% tells you how fast it happened.
If your investment received dividends that were reinvested, your ending value should already include them (they’ve compounded into the price). If dividends were paid out in cash and not reinvested, add the cumulative dividend total to your ending value before calculating, otherwise you’re understating your actual return.
Why total return misleads across different timeframes
Two investments. Both returned 80% total.
Investment A took 4 years. Investment B took 9 years.
The annualized returns are 15.8% and 6.8% respectively. Same total, completely different performance. Investment A compounded at more than twice the speed.
This is the core problem with comparing investments by total return. A hedge fund bragging about 200% returns since inception sounds impressive until you find out inception was 22 years ago. That works out to 4.7% annualized, which a basic index fund beat during the same period.
CAGR forces everything onto the same timeline so you can actually compare. It’s why institutional investors, fund factsheets, and financial advisors almost always quote annualized figures rather than total return.
The concept: what CAGR actually measures
CAGR stands for Compound Annual Growth Rate. It’s the hypothetical constant rate at which an investment would have grown each year to get from start to end.
Your actual investment probably didn’t grow at the same rate every single year. It may have surged 30% one year, dropped 15% the next, crept up 8% the following year. CAGR smooths all of that into one clean number: the rate that, compounded annually, produces the same end result.
Think of it as a pace. Two runners finish a 10km race in the same time. One ran at a perfectly steady pace. The other sprinted, walked, sprinted again. CAGR is the steady-pace equivalent for your investment’s actual journey.
CAGR tells you how fast an investment grew per year on average, assuming it grew at the same rate every year. The actual year-by-year returns can vary wildly. The CAGR is what it looked like if they hadn't.
The formulas
Where P = initial principal, r = rate per period, n = number of periods, C = contribution per period.
The exponent (1/Years) in the CAGR formula is what does the annualizing work. Raising to the power of 1/5 for a 5-year period is the mathematical equivalent of finding the “per year” rate that compounds to the total growth. It’s a geometric average, not an arithmetic one, which matters when returns vary across years.
The real return formula uses the Fisher equation. Subtracting the inflation rate from the nominal return is a common shortcut, and it’s close enough for most purposes. But at higher rates (above 5% nominal or 3%+ inflation), the Fisher equation gives a more accurate figure. The calculator uses the proper version.
Don’t confuse CAGR with average annual return. If a stock returns +50% one year and -33% the next, the arithmetic average is 8.5% per year. The CAGR is 0%. The investment went from $1,000 to $1,500 to $1,005. Flat. Arithmetic averages overstate investment performance when returns are volatile. CAGR doesn’t.
Compounding frequency and why it changes your result
Annual compounding means returns are calculated and added once per year. Monthly means 12 times. Daily means 365 times.
For the same nominal rate, more frequent compounding produces slightly higher effective returns. A 10% nominal rate compounds to:
| Compounding frequency | Effective annual rate |
|---|---|
| Annually | 10.000% |
| Semi-annually | 10.250% |
| Quarterly | 10.381% |
| Monthly | 10.471% |
| Daily | 10.516% |
The differences look small. Over long periods and large amounts, they’re not. $100,000 at 10% annually for 30 years = $1,744,940. At 10% compounded daily = $2,007,731. Same nominal rate. $262,000 more just from compounding frequency.
For stock market returns, annual compounding is standard. For savings accounts, use monthly. For money market or high-yield savings, use daily. The calculator’s compounding frequency dropdown exists for exactly this reason.
Real-world examples
Index fund over a decade
Someone invested $25,000 in a total market index fund in 2014. By end of 2024, the investment was worth $82,000. No additional contributions.
Initial: $25,000 / Ending: $82,000 / Duration: 10 years
CAGR = (82,000 / 25,000)^(1/10) - 1 = (3.28)^(0.1) - 1 = 12.6% per year
Total return = 228%
With 3% average inflation over the period, the real CAGR is ((1.126) / (1.03)) - 1 = 9.3% real annual return
The 228% total return sounds dramatic. The 12.6% annualized is what you use to benchmark against the S&P 500’s historical 10-11% average.
Comparing two investment options
Investor A put $50,000 into real estate in 2018. The property is now worth $87,000 (7 years later). Investor B put $50,000 into stocks over the same period, now worth $94,000.
Investor A (real estate): CAGR = (87,000 / 50,000)^(1/7) - 1 = 8.2% per year
Investor B (stocks): CAGR = (94,000 / 50,000)^(1/7) - 1 = 9.4% per year
On total return: A made 74%, B made 88%. Stocks won.
On annualized return: A at 8.2%, B at 9.4%. Stocks still won, but by 1.2 percentage points per year, not 14 percentage points total. Same conclusion, but the CAGR comparison is the honest one because the time period was identical.
Note: this ignores rental income, leverage, transaction costs, and taxes on real estate, all of which change the real comparison significantly. Use the calculator for each asset on its actual terms.
Regular contributions to a retirement account
Someone contributes $500/month to an index fund starting at age 30. Starting balance: $5,000. Expected annual return: 9%. They plan to retire at 65 (35 years).
Initial: $5,000 / Contributions: $500/month / Duration: 35 years / Rate: 9% / Compounding: monthly
Monthly rate = 9% / 12 = 0.75% n = 35 x 12 = 420 months
Future value = $5,000 x (1.0075)^420 + $500 x [((1.0075)^420 - 1) / 0.0075]
= $5,000 x 23.07 + $500 x 2,940.5
= $115,350 + $1,470,250 = $1,585,600
Total contributed = $5,000 + ($500 x 420) = $215,000.
The market did the rest: $1,370,600 in growth on $215,000 of actual money. That’s the arithmetic of 35 years of compounding at 9%.
Inflation-adjusted real return
A fixed deposit returns 7% annually in a market where inflation is running at 5.5%.
Nominal return: 7% / Inflation: 5.5%
Real return = ((1.07) / (1.055)) - 1 = 1.42% real annual return
The shortcut (7% - 5.5% = 1.5%) is close but slightly off. At higher rates, the Fisher equation matters more. Either way, a 7% return in a 5.5% inflation environment is barely growing your purchasing power. The calculator shows both the nominal and real return so you know what you’re actually getting.
What the result actually tells you
CAGR as a benchmark tool. Run your portfolio’s CAGR over 5 or 10 years, then compare it to your country’s major index over the same period. If your CAGR is 8% and the index returned 11%, a low-cost index fund would have beaten you without any effort. That’s information worth having.
Real return as the honest number. In high-inflation environments, a nominal 10% return feels strong until you realize 6% inflation left you with 3.8% real growth. The calculator’s inflation field converts your headline number to what actually happened to your purchasing power.
Comparing advisors and funds. Fund factsheets quote 1-year, 3-year, and 5-year annualized returns. Run those numbers through the calculator against your own investment to check whether paying advisory fees is adding or subtracting from your returns. A 1% annual fee sounds small. Over 20 years on $100,000 at 8% CAGR, it costs you roughly $66,000 in foregone compounding.
Planning backwards. If you need $500,000 in 20 years and have $80,000 today, enter those values and the duration. The required CAGR output tells you the return rate your investment needs to achieve. If that rate is 9.5% and you’re currently in savings accounts returning 4.5%, you know the gap and can make a decision about asset allocation accordingly.
Your CAGR calculation is most useful when the ending value includes all returns: price appreciation, reinvested dividends, and any interest earned. If any of those have been taken out in cash rather than staying in the investment, add them back to the ending value before calculating. A CAGR that excludes dividends understates equity investment performance by 2-4 percentage points annually over long periods.
The gap between CAGR and investor experience
CAGR is a clean mathematical concept. Lived investment experience is messier, and there are a few places where the number can mislead.
Volatility drag. Two funds with the same CAGR can feel completely different to hold. One grows steadily at 9% per year. The other swings between +40% and -25%. Same end result, completely different psychological experience, and completely different risk if you need to sell at the wrong time. CAGR captures the destination, not the journey.
Sequence of returns. For investors drawing down a portfolio (retirees, for instance), the order of returns matters enormously even when the CAGR is identical. Getting the negative years early in retirement depletes capital before compounding can work. Getting them late leaves the portfolio mostly intact. CAGR averages over the sequence, which masks this risk entirely for decumulation scenarios.
Survivorship bias in historical returns. When you look up the S&P 500’s historical CAGR, you’re looking at an index that removes failed companies and adds successful ones over time. The actual experience of holding a fixed portfolio of 1990s stocks, including the ones that went bankrupt, would have produced a lower CAGR than the index suggests.
CAGR is the right number for comparing investment options at a point in time. It's the wrong number for predicting what you'll actually experience year-to-year. Use it as a benchmark and a planning tool, not as a promise about future smoothness.
The bottom line
Total return tells you what happened. CAGR tells you how fast. Real return tells you whether your purchasing power actually grew.
All three come from the same two data points: starting value and ending value across a time period. The calculator computes all of them simultaneously, plus inflation-adjusted figures if you want them.
Use the annualized number for comparisons. Use the real return for an honest read on wealth building. Use the future value with contributions field when you’re planning ahead and want to see where regular investing leads over time.
The math is mechanical. The interpretation is where the actual thinking happens.
Frequently Asked Questions
What is annualized return (CAGR)?
Annualized return, also called CAGR (Compound Annual Growth Rate), is the constant yearly rate at which an investment grows from its starting value to its ending value. It smooths out year-to-year volatility into a single, comparable figure.
What is the CAGR formula?
CAGR = (Ending Value ÷ Starting Value)^(1 ÷ Years) − 1. Example: $10,000 growing to $16,000 in 5 years → CAGR = (1.6)^0.2 − 1 = 9.86% per year.
What is the difference between total return and annualized return?
Total return is the overall percentage gain from start to finish. Annualized return (CAGR) converts that total gain into a per-year rate. A 60% total return over 5 years equals a CAGR of about 9.86% per year — these two numbers both describe the same investment but answer different questions.
Can CAGR be negative?
Yes. If the ending value is less than the starting value, CAGR is negative. For example, $10,000 falling to $7,000 over 3 years gives a CAGR of −11.05% per year. This represents an annualized loss.
How do I calculate inflation-adjusted (real) return?
Real return = ((1 + nominal CAGR) ÷ (1 + inflation rate)) − 1. If your nominal CAGR is 10% and inflation is 3%, your real return is roughly 6.80% per year. Always compare investments using real returns when assessing purchasing-power gains.
What is a good annualized return?
The S&P 500 has historically returned around 10% annualized (about 7% after inflation). Broad diversified portfolios often target 7–10%. Returns above 15% per year consistently over many years are exceptional and rare.
What is the difference between CAGR and IRR?
CAGR assumes a single lump-sum investment with no cash flows in between. IRR (Internal Rate of Return) accounts for multiple cash flows at different times — making it more accurate when you are regularly adding or withdrawing money. Use the contributions field above for a simple blended estimate.
How does compounding frequency affect my return?
More frequent compounding (monthly vs annual) produces slightly higher effective returns because interest earns interest sooner. The difference is small at typical rates — e.g., 10% annually compounded monthly gives an effective annual rate of 10.47% — but it compounds significantly over decades.
Can I use CAGR to compare different investments?
Yes — CAGR is one of the best single-number comparisons between investments of different sizes and durations. A stock returning 50% over 8 years and a fund returning 30% over 4 years can be directly compared by their CAGRs (5.24% vs 6.78%). Always also consider risk (volatility and drawdown) alongside CAGR.
What is a growth multiplier?
Growth multiplier = Ending Value ÷ Starting Value. A multiplier of 2.5× means your investment grew to 2.5 times its original value. It is the same information as total return (a 2.5× multiplier = 150% total return) expressed differently — useful for quick mental math.
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