Rate of Return Calculator

Suppose you put $10,000 into a fund five years ago and it is worth $16,000 today. Your total return is 60% - but the more useful number is the annualized return, which is about 9.86% per year. That single per-year figure is what lets you compare this investment against a savings account, a different stock, or a property held for a completely different length of time. This rate of return calculator gives you both numbers from four simple inputs.

The rate of return formula

Total return measures the whole gain over the holding period:

To turn that into a per-year rate that accounts for compounding, use the compound annual growth rate (CAGR):

where initial is the amount you invested, final is the current or sale value, income is any dividends, interest or rent received, and years is how long you held it. The ending value used for annualizing includes that income, assuming it was reinvested.

Worked example, step by step

Take the $10,000 to $16,000 example over 5 years with no separate income:

• Total return: (16,000 − 10,000) ÷ 10,000 = 0.60 = 60%.
• Ratio: 16,000 ÷ 10,000 = 1.60.
• Annualized: 1.60^(1/5) − 1 = 1.0986 − 1 = 0.0986 = 9.86% per year.

Now add $500 of dividends received along the way. The total return rises to (16,000 − 10,000 + 500) ÷ 10,000 = 65%, and the annualized return climbs to about 10.53% per year - which is why ignoring income understates how an investment actually performed.

Total return vs. annualized return

These two numbers answer different questions. Total return tells you how much your money grew overall. Annualized return (CAGR) tells you the equivalent steady yearly rate. The longer the holding period, the larger the gap between them: a 60% total return is about 9.86%/yr over 5 years but only about 2.38%/yr over 20 years. Always annualize before comparing investments held for different lengths of time.

How to use this calculator

1. Initial value: enter what you originally invested - your cost basis.
2. Final value: enter the current value, or the sale price if you have already sold.
3. Holding period: enter the number of years you held it. Use decimals for partial years (0.5 = six months).
4. Income (optional): add dividends, interest, or rent received over the period. Leave it at zero for a price-only return.

Press Calculate return and read the two headline figures - total return and annualized return - plus the gain, the price-vs-income split, and a year-by-year growth path at your annualized rate.

Who this calculator is for

• Stock and fund investors checking how a holding has actually performed per year.
• Comparison shoppers weighing two investments held for different lengths of time.
• Real-estate owners annualizing a property's appreciation plus rental income.
• Savers turning a multi-year balance change into a comparable yearly rate.
• Students and analysts who need a clean CAGR for a report or a model.

Key terms explained

• Total return: the full percentage gain (or loss) over the whole holding period, including income.
• Annualized return / CAGR: the equivalent constant yearly rate that compounds to the same result.
• Price (capital) return: the gain from the value rising, excluding any income.
• Income return: the part of the return that came from dividends, interest or rent.
• Cost basis: what you originally paid - the initial value the return is measured against.
• Reinvestment: the CAGR figure assumes income is put back to work; spending it instead lowers your effective compounded rate.

Three quick scenarios

• Steady grower: $20,000 to $30,000 over 8 years = 50% total, about 5.20%/yr annualized.
• Fast gain, short hold: $5,000 to $6,500 over 1.5 years = 30% total, about 19.1%/yr annualized - high, but short and not guaranteed to repeat.
• A loss: $15,000 to $12,000 over 3 years = −20% total, about −7.17%/yr annualized.

Notice how the same 50% gain would look very different over 2 years versus 20 - which is exactly why annualizing matters.

What drives your rate of return

• Holding period: the longer you hold for the same total gain, the lower the annualized rate.
• Income (yield): dividends and interest add to total return and compound when reinvested.
• Cost basis: buying at a lower initial price raises every return figure.
• Fees and taxes: they are not in the gross formula but quietly reduce what you actually keep.
• Inflation: a 9.86% nominal return is worth less in real terms once you subtract inflation.

Tips for an accurate result

• Use your true cost basis as the initial value, including any purchase commissions.
• Include reinvested dividends in the final value, or enter income separately - but do not double-count.
• For a real (after-inflation) return, subtract the period's inflation rate from the annualized figure.
• If you added or withdrew money mid-period, CAGR is only an approximation - a money-weighted return (IRR) is more precise.

Limitations and assumptions

This is a planning estimate, not a brokerage statement. Keep these assumptions in mind:

• It is a time-weighted CAGR based on a single start and end value; it does not model mid-period contributions or withdrawals.
• It shows gross returns - taxes, commissions and fund expenses are not deducted.
• Returns are nominal, not adjusted for inflation.
• Annualizing a very short period assumes the same rate continues for a full year, which can overstate volatile holdings.
• Past performance does not predict future results.

A second worked example: an income-heavy holding

Annualized return matters most when income is a big part of the story. Say you bought a rental property or a dividend stock for $50,000, it is now worth $58,000 after 4 years, and over that time it paid you $8,000 in rent or dividends. The price-only return is just (58,000 − 50,000) ÷ 50,000 = 16%, but adding the income lifts the total return to (58,000 − 50,000 + 8,000) ÷ 50,000 = 32%. Annualized, that is 1.32^(1/4) − 1 = about 7.2% per year - roughly double the price-only annualized figure of 3.8%. Ignoring the income would have made a perfectly decent investment look mediocre, which is exactly why the income field exists.

Annualized return vs. average return

People often confuse the annualized return (CAGR) with a simple average of yearly returns, but they are not the same - and the difference grows with volatility. Imagine an investment that gains 50% one year and loses 50% the next. The simple average is (50% − 50%) ÷ 2 = 0%, which sounds like you broke even. In reality, $100 grows to $150, then falls to $75 - a 25% loss over two years, or about −13.4% annualized. CAGR captures that real, compounded experience; the arithmetic average overstates it. This gap is called volatility drag, and it is why the annualized figure this calculator reports is the honest number for judging how an investment actually treated your money.

Nominal vs. real (after-inflation) return

The return this tool reports is nominal - it measures dollars, not purchasing power. To get your real return, subtract the inflation rate over the period. A quick, accurate-enough rule is real ≈ nominal − inflation; for a precise figure, use (1 + nominal) ÷ (1 + inflation) − 1. If your investment annualized at 9.86% while inflation ran 3%, your real return was roughly 6.7% per year - that is the gain in what your money can actually buy. Over decades, the difference is enormous: a "good" nominal return during a high-inflation stretch can be a flat or even negative real return. When you compare your result against the long-run "7% real" stock-market figure people often cite, remember that 7% is already inflation-adjusted, so compare it to your real return, not your nominal one.

Typical annualized returns by asset class

There is no single "correct" rate of return - it depends entirely on the asset and the risk you take. These long-run, broad-strokes ranges (nominal, before inflation and fees) give a sense of scale, not a forecast:

• Cash and savings: low single digits, closely tracking short-term interest rates - safe, but often barely keeping up with inflation.
• Bonds: historically in the mid single digits, with returns driven by prevailing interest rates and credit quality.
• Broad stock index: roughly 10% nominal (about 7% after inflation) over very long periods, but with large year-to-year swings and real risk of multi-year losses.
• Real estate: appreciation plus rental yield; total returns vary widely by market and leverage.

Use these only as sanity checks. If your calculated annualized return is wildly above a broad index for a comparable risk level, double-check your inputs - especially the holding period and whether you double-counted income. Higher expected return always comes paired with higher risk, and past performance does not predict future results.

CAGR vs. money-weighted return (IRR)

This calculator reports a time-weighted CAGR, which uses a single starting value and a single ending value and is the right tool for judging an investment's performance independent of when you added cash. If you made multiple deposits or withdrawals at different times, what you actually earned on your own money is better captured by a money-weighted return, also called the internal rate of return (IRR). The two can differ a lot: if you happened to add a large amount right before a strong run, your money-weighted return will beat the time-weighted CAGR, and vice versa. For a clean single-purchase holding, CAGR and IRR are the same. When you have irregular cash flows, treat the CAGR here as a good approximation and reach for an IRR tool for precision. To model steady future contributions instead, the Investment Calculator projects the path forward.

How it compares to related calculators

This page answers "what return did this investment earn, per year?" For related questions, a sister tool fits better:

• For a pure per-year growth rate from a start and end value, the CAGR Calculator is the focused version of this tool.
• To project growth forward with regular contributions, use the Investment Calculator.
• For a simple gain-versus-cost ratio, use the ROI Calculator.
• To see how compounding builds a balance over time, use the Compound Interest Calculator.
• To find what a sum will be worth later, use the Future Value Calculator; to check your nest egg, use the Retirement Calculator.

Sources

• U.S. Securities and Exchange Commission (Investor.gov) - compound interest and the math of growth.
• U.S. Securities and Exchange Commission (Investor.gov) - total return, dividends and risk vs. reward.
• U.S. Bureau of Labor Statistics - Consumer Price Index (CPI), for adjusting nominal returns to real returns.
• Definition of compound annual growth rate (CAGR) as the constant rate (ending ÷ beginning)^1/years − 1.