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Measure a completed investment here, project a future saving plan elsewhere, or check what inflation did to the real result.
Did the investment create a nominal and real gain?
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How should you interpret the investment return?
Start with the cash result. Gain or loss states how much more or less the investment produced after the distributions and fees entered. Total return expresses that result relative to starting capital. It describes the full holding period, but it does not make investments held for different lengths of time directly comparable.
CAGR provides the time-adjusted view. It answers: “What constant compounded yearly rate would connect the starting investment with the net ending proceeds?” It does not claim that the investment earned that rate in every individual year. A volatile asset can fall sharply and recover later while showing the same CAGR as a much steadier holding.
Real CAGR adds the inflation assumption. Positive nominal return means the currency amount grew; positive real return means the growth also exceeded the modelled loss of purchasing power. Neither measure shows whether the risk was acceptable.
Price return, income return and total return
Price return considers only the change between beginning and ending asset value. Income return comes from dividends, coupons, interest or other cash distributions. Total return combines both sources and subtracts costs that are not already reflected in the values.
| Component | Example | Correct input |
|---|---|---|
| Ending market value | Shares, fund units, bond or deposit balance at the end date | Ending value |
| Cash income | Dividends, coupons or interest paid out | Distributions, only if absent from ending value |
| Separate costs | Trading commission or separately billed account fee | Fees, only if not already deducted |
For an accumulating fund, reinvested income is normally already reflected in the unit value. Adding it again would overstate performance.
Gross return, net return, fees and taxes
A result before costs can look materially better than the investor’s result after charges. The calculator subtracts the monetary fee amount entered, but it does not automatically model a percentage fee charged every year. If ongoing fund charges have already reduced the published unit price or account value, do not enter them again. Add only costs missing from both endpoint values.
Taxes are excluded because treatment depends on jurisdiction, account type, allowances, holding period and income type. A universal tax percentage would be misleading. If an after-tax calculation is required, use the actual tax amount documented for the investment and apply it consistently outside this general model.
Sanity rule: increasing a separately entered fee must reduce net proceeds, gain, total return and CAGR.
Where to get the input data
| Input | Typical source | Check before entering |
|---|---|---|
| Starting value | Broker statement or account valuation on the start date | Use the settled value and one consistent currency. |
| Ending value | Statement or market valuation on the end date | Use the same asset scope and valuation convention. |
| Distributions | Dividend, coupon or interest history | Exclude reinvested income already captured in ending value. |
| Fees | Trade confirmations and cost statements | Enter only charges not already deducted. |
| Holding period | Exact start and end dates | Convert partial years consistently; 18 months is 1.5 years. |
| Inflation | A documented average or scenario for the same period | Match geography and period to the purchasing-power question. |
CAGR, XIRR and time-weighted return
CAGR is suitable when one lump sum is invested and the main observations are starting and ending proceeds. XIRR is a money-weighted return for multiple contributions and withdrawals on known dates. Timing matters because money invested earlier participates in performance for longer. Time-weighted return links subperiod returns and removes the size effect of external cash flows; it is often used to assess an investment manager.
This calculator intentionally does not turn irregular flows into an approximate CAGR. Use a dated cash-flow method when capital was added or withdrawn. For a future plan with regular contributions, use the Compound Interest Calculator.
Does the calculated return look realistic?
- If starting value and net ending proceeds are equal, gain, total return and CAGR should be 0%.
- If net proceeds exceed the start, total return and CAGR should be positive.
- With positive inflation, real CAGR should be below nominal CAGR.
- For the same positive start-to-end factor, a longer holding period should produce a lower CAGR.
- Income improves the result only when it is not already included in ending value.
- Additional fees must never improve performance.
These checks catch common input mistakes, but they cannot verify whether the statements use the same valuation date, currency and asset scope.
Inflation sensitivity of the investment return
The nominal result stays fixed. Only the inflation assumption changes, showing how purchasing power alters the interpretation.
| Scenario | Inflation | Real annual return | Real ending proceeds |
|---|---|---|---|
| — | |||
Total return, CAGR and real return are different
Total return measures the whole gain relative to starting capital. CAGR converts the start-to-finish factor into a compounded yearly rate. Real CAGR removes the assumed loss of purchasing power. A 50% total return over five years is therefore not 10% CAGR; the geometric annual rate is about 8.45%.
Total return = (net proceeds − starting value) ÷ starting value
CAGR = (net proceeds ÷ starting value)1/years − 1
CAGR is a smooth equivalent rate. It does not show volatility, drawdowns or the sequence of yearly returns.
What to enter and what not to double-count
Use the market or account value on the start date and the comparable value on the end date. Add cash distributions only when they are not already included in the ending value. Enter fees only when they have not already reduced the ending balance or distribution figure.
If money was added or withdrawn during the holding period, this simple CAGR model is not sufficient. Exact dated flows require money-weighted return or XIRR. Regular planned deposits belong in the Compound Interest Calculator.
Worked examples and checks
Exercise 1 – total return
$10,000 becomes $12,000 and pays $500 income, with $100 fees. Find the gain and total return.
Net proceeds = 12,000 + 500 − 100 = 12,400. Gain = 12,400 − 10,000.
Exercise 2 – CAGR
$5,000 grows to $8,000 in six years with no other flows. Find CAGR.
(8,000 ÷ 5,000)1/6 − 1 ≈ 0.08148.
For finance and business students: return measurement
Return measurement starts by defining the investor’s external cash flows. Price appreciation, dividends and interest are benefits; fees are costs. For one lump-sum holding, start and net end proceeds determine the holding-period return and CAGR.
Problem: an investment starts at €20,000 and ends at €25,000 after four years. It distributes €1,000 and has €300 of separately paid fees. Calculate net proceeds, total return and CAGR.
- Net proceeds = 25,000 + 1,000 − 300 = €25,700.
- Gain = 25,700 − 20,000 = €5,700.
- Total return = 5,700 ÷ 20,000 = 28.5%.
- CAGR = (25,700 ÷ 20,000)1/4 − 1 ≈ 6.47%.
Common investment-return calculation mistakes
- Comparing total returns from investments held for very different periods.
- Dividing total return by years instead of using a geometric annualized rate.
- Ignoring dividends or interest paid out in cash.
- Adding reinvested distributions already included in ending value.
- Subtracting the same fee in both the account value and the fee field.
- Using CAGR despite additional contributions or withdrawals.
- Comparing different currencies without accounting for exchange-rate effects.
- Treating a smooth CAGR as evidence of a smooth or low-risk path.
Assumptions, limitations and what to do next
The calculator assumes one initial lump sum and assigns cash distributions and separate fees to the end of the holding period for CAGR. It does not calculate XIRR, time-weighted return, taxes, risk, volatility or benchmark-relative performance. A positive historical return is not a forecast.
Record the input dates and sources so the result can be reproduced. Compare investments using the same currency, similar periods and consistent treatment of income and costs. Review nominal and real results together, then assess volatility, drawdowns and risk separately.
If there were dated contributions or withdrawals, move to XIRR. If the goal is to plan future deposits instead of measuring past performance, continue with the Compound Interest or Savings Goal Calculator.