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Enter your values, then click Calculate result.How this calculator helps
Convert supplied starting and ending investment values over a stated year interval into an endpoint annualized return, without cash-flow assumptions. Enter positive starting value and nonnegative ending value in the same currency and valuation basis. Include income in the ending value only if that matches your chosen total-return record. The calculator does not retrieve a stock, index, account statement or reinvestment history. A currency change can alter the economic meaning of the ratio, so convert consistently before calculating a cross-currency comparison.
How to use it
- 1
Select the correct input roles for annualized return calculator and enter the values described below. The demonstration defaults illustrate the method; they are not independently verified personal measurements or live market data.
- 2
Review elapsed years and the original source record. Match units, signs and the chosen mode before submitting, rather than relying on a familiar-looking default number.
- 3
Click Calculate result to submit the current fields. Editing an input preserves the prior submitted output until you calculate again; the pending-change message distinguishes that saved output from the new values.
- 4
Check the labeled output against the worked example and independent verification steps. Review losses and precision before using the result in another document, and keep the complete input basis with a copied answer.
Formula and methodology
Annualized endpoint return = (ending/starting)^(1/years)−1. Total endpoint return = ending/starting−1.
The calculator applies the displayed arithmetic to the values entered on this device. It does not silently load a local tax rate, currency conversion or commercial assumption.
Worked calculation example
Starting value 1000 and ending value 1210 over two years gives total endpoint return 21% and annualized return 10% per year because 1000×1.1²=1210. Dividing 21% by two would produce 10.5%, a simple average that does not compound back to the same ending value. The example assumes no external deposits or withdrawals.
How to interpret your result
The annualized value is the constant hypothetical compound rate that connects the two supplied endpoints over the chosen period. It is not an arithmetic average of observed yearly returns. Different year-by-year paths can produce the same endpoints and therefore the same annualized result. Volatility, drawdowns and sequence of returns are invisible when only the starting and ending value are used.
For different inputs or formulas, use Inflation-Adjusted Return Calculator; Compound Interest Calculator — Monthly Contributions and ETF Scenarios; NPV Calculator.
Related questions this calculator covers
- annualized return calculator
- how to calculate rate of return
- investment roi calculator
Scenario comparison
| Scenario | What it shows |
|---|---|
| Unchanged value | equal endpoints give zero return. |
| Two-year gain | 100 to 121 gives 10% annually. |
| Total loss | positive start and zero end gives −100%. |
Common mistakes to avoid
- Dividing total percentage by years as though it were compound return.
- Ignoring deposits or withdrawals.
- Treating short-period annualization as a forecast.
Reconstruct ending value with starting×(1+annualized rate)^years. Compare the total endpoint ratio independently. Equal endpoints should give zero, and a one-year interval should make annualized and total percentages agree. Reconcile deposits, withdrawals, fees and valuation dates from original records before interpreting the result as an investment-performance measure.
Authoritative reference. Method and scope reviewed on 5 October 2026. SolvePilot provides the original worked example and bounded browser implementation. Editorial and arithmetic review by Mohammad Qasim does not certify user measurements, a real contract or an individual professional decision. The reference supplies method, unit or source-record context; it does not approve this implementation or its inputs.What can affect the result?
Endpoint values
Enter positive starting value and nonnegative ending value in the same currency and valuation basis. Include income in the ending value only if that matches your chosen total-return record. The calculator does not retrieve a stock, index, account statement or reinvestment history. A currency change can alter the economic meaning of the ratio, so convert consistently before calculating a cross-currency comparison.
Elapsed years
The holding period must be a positive number of years, with fractions allowed. For eighteen months, enter 1.5 when that is the agreed time convention. This page does not choose a day-count basis from transaction dates. Annualizing a short interval extrapolates its endpoint growth pattern mathematically; it does not establish that the same rate will persist for a full year.
Compounding relationship
The annualized value is the constant hypothetical compound rate that connects the two supplied endpoints over the chosen period. It is not an arithmetic average of observed yearly returns. Different year-by-year paths can produce the same endpoints and therefore the same annualized result. Volatility, drawdowns and sequence of returns are invisible when only the starting and ending value are used.
External cash flows
Deposits and withdrawals change endpoint values independently of investment performance. If they occurred during the interval, this simple ratio is not a money-weighted or time-weighted performance calculation. Use an appropriately dated cash-flow method for that question. Do not subtract an entire contribution from the final balance without considering its timing and then label the endpoint result a professionally measured account return.
Losses and precision
An ending value of zero gives total and annualized endpoint return of −100% for any positive holding period. Negative ending value is outside the supported long-value model. Finite browser precision limits extreme ratios and tiny intervals, and an overflow result is rejected. Fees, taxes, inflation and risk are not inferred. Keep the endpoint basis and no-external-flow assumption with the output.
Privacy and browser processing
Values entered on this page are processed in the current browser session. SolvePilot does not require an account and does not receive the values entered into the calculator. Refreshing or closing the page clears the working values unless the browser itself restores a previous session. Avoid entering identifying or account information because the calculation needs summary values only.
Accuracy and verification
Accuracy depends first on input quality. Confirm definitions, scales, dates and source information before entering a value. Keep an independent record of any result used for planning because this page does not create an official statement or retain a calculation history.
Limits of this estimate
An ending value of zero gives total and annualized endpoint return of −100% for any positive holding period. Negative ending value is outside the supported long-value model. Finite browser precision limits extreme ratios and tiny intervals, and an overflow result is rejected. Fees, taxes, inflation and risk are not inferred. Keep the endpoint basis and no-external-flow assumption with the output.
Sources and review information
Frequently asked questions
Is this CAGR?＋
It is the compound annual growth rate between the supplied endpoints when the holding period is in years and no external cash-flow adjustment is needed.
Why not divide total return by years?＋
That ignores compounding. The annualized compound rate must grow the starting value to the ending value over the full period.
Can I enter months?＋
Convert the interval to years first. Eighteen months is 1.5 years under that simple convention.
Does it handle deposits?＋
No. Contributions and withdrawals require a cash-flow-aware performance method rather than an endpoint ratio.
Is the result a forecast?＋
No. It is a mathematical rate connecting supplied values and does not predict future returns.